NEOMETRY: Let the Forms Speak

N E O M E T R Y L E T T H E F O R M S S P E A K

Wael Hazem Fouda

Architectural Engineering Student

The Author of SUBTLE ENERGY A PHYSICS INTERACTING FORCE

Copyright © 2013 Wael Hazem Fouda

First Edition, 2013

NEOMETRY: LET THE FORMS SPEAK

Copyright © 2013 Wael Hazem Fouda

El-Safa Press,

21 Al-Dowedar street, Cairo, Egypt

©2013 Wael Hazem Fouda, All Rights Reserved. No part of this book shall be

reproduced, stored in a retrieval system, or transmitted by any means, electronic,

mechanical, photocopying, recording, or otherwise, without the prior written

permission of the author

ISBN

978 - 977 - 85039 - 6 - 8

٢٠١٣ / ١٤٢٣٨رقم اإليداع

The creative contents of this book are protected under intellectual property since

January 2013

I dedicate this book to my father who helped me find my way through science and philosophy... Thanks Father for your

patience and understanding... Thanks for the atmosphere you provided so I can discover the unknown mysteries...

N e o m e t r y let the forms speak 2013

Table of Contents

Introduction…………………………………………………………

7

Introduction to Sacred Geometry………………………………….. The Golden Spiral……………………………………………….. The Vesica Piscis………………………………………………....

13

14 16

Introduction to Numerology………………………………………..

19

Neometry Mechanics……………………………………………….. Converting a single number into a form………………………….. Converting two numbers into a form…………………………….. Converting three numbers or more into a form…………………...

23

23 27 28

Narmonics………………………………………………………….... Finding Harmonic Numbers…………………………………….... Sacred Numbers………………………………………………….. Sacred Simbology……………………………………………….... Angles of interaction……………………………………………... Traits of Geometrical Numbers………………………………….. Harmonizing Sacred Angles…………………………………….... Harmonics Numbers’ Wheel……………………………………... Colors and Numbers……………………………………………... The end of cycles The 13………………………………………..... Crossing numbers and intercourse………………………………... Summation, Integration & Crossing…………………………….....

30

30 32 33 39 41 42 43 45 46 49 49

Neometry Forms by the author……………………………………... 51

References………………………………………………………….....

55

Intellectual Property in Arabic………………………………………

57

Book Summary in Arabic………………………………………….....

60


7

INTRODUCTION

Years and years I spent my life searching, trying to understand the mysteries

of the world. Since I was a little kid I was always amazed by ancient world

architecture. There was such an impact of their art work and myths on my

childhood. I remember being shocked yelling “the pyramid.. the pyramid”

when I used to approach The Great Pyramid of Giza. For me The Sphinx

in the Giza Plateau was not just a statue. I always believed that the ancient

world had their secret knowledge. It is actually a sacred knowledge.

It all started when I fell in love with the Ancient Egyptians. I used to think

they were the holders of some kind of knowledge that was ruined by wars

and battles. I always believed our ancestors knew something that we can’t

see but we can feel. Till I was introduced to simple meditations when I

started to have a different perspective of ancient cultures. Digging into the

realms of the unknown, this is what I always did.

When I started learning Sacred Geometry, I started to think why can’t the

symbols of the ancient world be a manifestation of meanings. I started to

think of language in terms of colors, music, phonetics, rhythm, etc.. so why

can’t it be also geometry!

Ancient Greeks learnt a lot from Ancient Egypt. They recorded their sacred

knowledge and wisdom in the form of an approach of thinking that explains

everything which they called Philosophy. Philosophy includes the study of

Arithmetic, Geometry, Music, harmonics, Astronomy, Astrology,

Cosmology, Logic, and spirituality.


8

After studying different ancient world philosophies and arts, I found that

they all have in common some cosmological models and concepts. For

instance; the Chinese, the Japanese, the Egyptians, the Greeks, the Hindu,

the Buddhists, the Babylonians, the Arabs, the Mayans and much more

civilizations believed in a very common cosmological model. They all

believed in numerology and the power of numbers. They all believed in

some sort of magical powers that manifests through numbers, planets,

music, plants, essences, etc. They all believed in energies or life forces that

create everything and motivate life or kill it to death. These forces or as they

called it the elements of nature differed from culture to culture yet the

resulting philosophies were almost the same.

In their cosmological models everything was a result of the interacting

elements of nature. In ancient world philosophies, numbers do have

properties, numbers are languages that do interact forming meanings. For

them everything had a meaning and any interaction creates an action.

Many influences forced me to have found my new discoveries and new art

explained in this book. My architecture study helped me understand the

history of art and architecture. Yet I never liked the approach of modern art

and architecture, specially that philosophical concepts in modern art are just

the expression of the artist’s false Self Ego and Persona.

I started to believe in a universal science when I started to learn astronomy.

My astronomy background helped me understand philosophy. When I

studied BioGeometry® I found Dr.Ibrahim Karim’s model of ancient

world technology to be fascinating. His new approach helped me get

introduced to the effects of Geometrical shapes and environmental design.


9

This is when I started experiments trying to prove the physical existence of

subtle energy till I was able to prove it and publish my book “SUBTLE

ENERGY a physics interacting force”.

After this moment I started to understand the ancient world from a totally

different perspective. This is when I insisted that there must be some

hidden language in the ancient world Sacred Geometry.

Ancient world civilizations mastered Sacred Geometry and Numerology.

For the ancient world, Geometry was not just a sort of physical science but

science itself was part of philosophy. That’s why we can find patterns in

their various kinds of arts and science.

When we analyze ancient arts we decode them into proportions, angles,

orientations, etc… yet we always have been neglecting the meanings of the

patterns themselves. Every little form can be created from a pattern and the

pattern can always create its proportions. Ancient people usually used the

golden ratio yet the golden ratio can’t tell us the meanings behind forms.

Nature itself uses the golden ratio, yet different forms have different

functions. That’s why the golden ratio can’t tell us a lot about meanings but

can show harmony. However patterns can create the golden ratio

proportions to achieve harmony and still can have a behavior, a function,

and a meaning.

Maybe some esoteric groups as the Freemasonry knew about how to

convert meanings into forms to encode their philosophy. The alchemists

converted Archetypes into symbols. What I discovered is how meanings of

the archetypes can be converted to geometrical patterns that can form a


10

simple symbol to sophisticated detailed proportions of living things.

Neometry is how to convert meanings into forms having life proportions.

This new approach is based on converting Numbers into Geometry while

still preserving the golden ratio. It can also convert Geometry into numbers

to find its archetype. Neometry is concerned about meanings that are

manifested through the power of numbers known as Numerology and the

power of Sacred Geometry.

Another part of Neometry is that it can show the interaction between

numbers to create meaningful forms that can reach living things’

sophistication and beauty. This is why I named it Neometry, the new

geometry, or the neo-geometry, the art of converting numerology meanings

into geometry and geometry into numbers.

To achieve harmony, interacting numbers must not be in conflicts. Simple

geometrical shapes can show us the meanings of numbers, while through a

single unit circle sacred numbers can be revealed showing sequences of

harmonic groups of numbers. I called this Narmonics which is finding

harmonic numbers through geometry.

In this book the concept of Neometry and Narmonics is very basically

explained. Neometry and Narmonics are not just concerned about

converting numbers into Geometry, since it’s not just geometry or a

designing issue. It is creating functional, living, behaving, and meaningful

patterns that transform meanings and archetypes into a geometrical form

manifestation. It is an understanding of nature and how the universe

assembles itself.


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Having a solid background about Numerology and Sacred Geometry is a

must before reading this book for a full concept understanding, since this is

not an illustrated book; however it explains only the concept of Neometry

and Narmonics.

Wael Hazem Fouda


13

INTRODUCTION

TO SACRED GEOMETRY

In ancient world, philosophers were the masters of nature. They taught the

world Mathematics, Astronomy, Music, and Geometry. For them Geometry

was not jut theorems but an understanding of the world’s nature and

dynamics.

Arithmetic and Geometry were not the sciences of One plus One equals

Two. Geometry was not just the study of geometrical shape properties yet it

was an understanding of philosophy and wisdom. That’s why we can find

some Neo-Platonists explaining philosophy and proving the existence of

The One original reality or God through geometry and arithmetic.

Sacred Geometry was part of Architecture and many sorts of arts, since

philosophers believed our world is ruled by a set of harmonious ratios. They

believed our world is a symphony that is in tune and in harmony and our

creations and actions should always stay tuned.

A set of ratios were believed to exist in every living creature. The root of

Two, the root of Three and the root of Five were essential for life to exist.

Yet the most famous ratio of all was the Golden Ratio used in common

between Medieval and Renaissance artists.


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THE GOLDEN SPIRAL

Every sort of creation poured and flowed from a single first reality, This is

what is known as the Emanation theory. Emanationism is a cosmological

theory in ancient philosophy which was adopted by a group of philosophers

like Plotinus the founder of Neo-Platonism.

The Golden Spiral which comes

from the well known Fibonacci

Sequence is a perfect geometrical

representation of Emanationism.

The Fibonacci sequence shows a

creation process which occurs

starting from the One and ending

at infinity. 1, 1, 2, 3, 5, 8, 13,… This sequence draws the golden spiral, and

is created by adding the second number to its previous one. This sequence

simply shows how the first reality formed everything by adding part of its

spirit in the new creations.

The Fibonacci Sequence shows golden ratios such as 1/1, 2/1, 3/2, 5/3,…

going far into the sequence would create the perfect harmonic golden ratio

1.61803398875. the golden ratio is a number having its decimals going to

infinity without repeating its patterns. Such a ratio is part of nature’s

language of creation. Many creations are designed to fulfill the Golden ratio.

The Greek constructed the golden ratio drawing a square then dividing its

sides. Drawing an arc having its radius from the split point to the square’s

Fig. 1: Fibonacci Sequence Golden Spiral


15

corners, this is how a compass can draw an

arc which projects one side of the square

creating the golden ratio as shown in

figure(2).

Artists in the renaissance used the ratio 3/2 which is 1.5. They constructed

it in an easier way. A square is split into two equal rectangles. One of its

halves is added as a third part. This is how a rectangle which is divided into

three parts is created, That’s why dividing by three is considered to be very

sacred.

Other ratios are very sacred as mentioned before like the root of two and

three which is also known to be a golden ratio and the root of five.

The numbers two, three and five are prime numbers. Those numbers create

sequences of non repeating infinite decimals. For instance the square root

of two creates 1.41421356237.. A square having a side length of 1 units

would have its diagonal the root of two. A perfect square with such a

diagonal keeps going to infinity without reaching the corner of the square,

That’s because the line keeps adding a differential decreasing diagonal

length till infinity.

This Recalls’ Zeno’s Paradoxes argued by Zeno of Elea(490–430 BC). In a

Zeno paradox an arrow can never reach its target because it has to cut half

distance and quarter of distance in a sequence which would keep dividing by

two till reaching an infinity of points. This is a metaphysical problem which

Aristotle(384 BC – 322 BC) also discussed in one of his books paraphrasing

Fig. 2: Constructing Golden Ratio


16

Zeno saying: “In a race, the quickest runner can never overtake the slowest,

since the pursuer must first reach the point whence the pursued started, so

that the slower must always hold a lead”

THE VESICA PISCIS

Ancient world knew how to

construct similar golden ratios

using easy methods such as the

Vesica Piscis which created more

complicated geometrical forms

and patterns such as the “Flower

of Life” fig(3).

The Vesica Piscis is created by intersecting two circles at their centers fig(4).

From this shape came the proportion of the ancient and medieval world

pointed and horseshow arches in architecture fig(5).

Sacred Geometry was used in various fields such as paintings, architecture,

Fig. 3: The Flower of Life

Fig. 4: Vesica Piscis Fig. 5: Vesica Piscis

Source: http://www.glastonbury-pilgrim.co.uk/userfiles/clip_image002.jpg


17

astronomy, astrology, and more. Its origins came from arithmetic and

mathematics, that’s why it has many things in common with Numerology.

It’s all based on the sacred arithmetical properties of numbers from which

came sacred proportions and harmonics. It all came from philosophy the

ocean which holds the secrets of the world. Philosophy is the knowledge of

wisdom that can bridge the gap between all kinds of arts and sciences. It’s

the way from basic mathematics and geometry to the advanced theories of

astronomy and the gate to the realms of deep spirituality.


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INTRODUCTION TO NUMEROLOGY

As explained in the previous chapter, numbers were not considered in

ancient world to be just a mathematical issue. Philosophers believed that

everything poured out of the harmonies of numbers. They believed

everything was made of numbers.

Letters and phonetics were represented by numbers and words were

converted into numbers to show their meanings according to their belief.

Sounds were believed to have their meanings from their original hidden

reality which was believed to be numbers as well. Music, Astronomy,

Astrology and even spirituality were all based on numbers. It’s because they

believed all numbers poured and manifested from the first original creator

The One.

All over the world numbers are used in various ways. Numbers are believed

to have some mystic powers. In Occultism, Mysticism, Sufism numbers do

play the major role. Alchemists and Magicians use numbers all the way.

Divination is just based on numbers either in Geomancy, Four Pillars, I

Ching, Tarot, Qi Star; it’s all based on numbers.

Different monotheist religions find some numbers sacred as in Judaism,

Christianity, and Islam. Also polytheism religions find a big interest in

numbers. Hindu, Buddhism, Taoism, and Zen Buddhism is all based on the

meanings of numbers and its powers.

Energy healing in the Veda and the Chinese culture was all based on


20

numbers and the magic squares which are

assembled like Sudoku numbers. Feng

Shui and Traditional Chinese Medicine

date back its art of five elements

balancing to an ancient holy turtle shell

which showed the first 3X3 magic square

from which all wisdom and knowledge

came to the world fig(6).

In the ancient world philosophies, numbers do interact and do have

properties that’s because numbers relate to different aspects of life as they

believed. Numbers do represent the life cycles according to their sacred

wisdom.

In Ancient China a hexagram which is a form of

Geomancy would show the changes of the cycles of

the world according to their belief fig(7). You can even

use a 3x3 magic square to balance the energy of an

environment or heal a patient with traditional Chinese

acupuncture. They even believed this magic square can tell a lot about a

person and his future which is a sort of Astrology only based on numbers

which they call the Four Pillars. The same concept was adopted by the

Indians having a 4x4 magic square which they called Yantra from which

came the Mandalas and Talismans. It is how they believed that such a magic

square can protect you and create very simple forms for meditation and

spirituality.

Here is a very brief explanation for the ancient world Numerology as they

Fig. 6: 3X3 Magic Square

Fig. 7: Chinese Hexagram


21

believed; when numbers interact they create

meanings and events or can be interpreted these

ways. In Tarot divination for example, tarot cards

have numbers and elements. The elements are

represented in the form of cups, swords,

pentacles, and wands. So for a little example

having 5 cups in a card would represent a

challenge and maybe some struggles in emotional

aspects. The reason is that cups represent the

water element which is considered to be the

ruling element of emotional aspects, while

number 5 represents challenges and struggles for new beginnings Fig(8).

Whether Tarot divination is a fact or a delusion I’m here only concerned

about the philosophical part of Numerology which was part of Tarot in the

Medieval world.

According to the Chinese, Indian, and some Arab groups belief; a magic

square used to be divided into cells called houses, Each house represented

an element or an aspect of life like career, love, spirituality, etc.. a number

appearing in a house would rule this aspect creating the personality of a new

born or changing the future of a man due to the interaction of numbers

with elements and aspects which was the same concept adopted in

Astrology yet ruled by planets which manifest from numbers instead.

That’s how many religions and philosophies believe in the power of

numbers and interpret them through different schools. It appears that

numbers do have meanings in some way and that’s what I discovered how

Fig. 8: Five of Cups Tarot Card


22

to find the meanings of numbers and how to find the meanings of shapes

through geometry. As music have impact on our souls and change our

moods and can heal our bodies, so do shapes which are based on the same

concept of music composition which is harmony known as design.

We live in a grand design that is created by the greatest master of all who I

know as God and others know him as the spirit of the world or the hidden

first reality from which everything was created as they called him THE

ONE. In this grand design everything talks the same language using the

same harmony. In next chapter you will be introduced to how to read the

hidden message in every creature and how to design like nature. In the next

chapter you are introduced to Neometry.


23

N e o m et r y

Let The Forms Speak

As mentioned in previous sections, Neometry is concerned about creating

functional and meaningful forms having harmony. It also focuses on

decoding symbols and life forms into meanings. That’s why next chapters

are assembled in an arrangement that shows the mechanics of Neometry

through guided drawings starting from converting a single number into a

form to creating sophisticated life forms and finding the codes of some

living creatures.

CONVERTING A SINGLE NUMBER INTO A FORM

According to numerology, number one resembles the creator of all things.

Number one is THE ONE who can’t be divided into parts but everything

comes out of it. To represent one in geometry, a circle is drawn from a

centre. This circle is the creator of all forms as the one can create all

numbers by adding one to it. The one is the singularity that has no

proportions and was always beyond space and time. The one created

everything but nothing was next to the one at the beginning. To create

everything the one added from its spirit another one which can be

represented as another circle. This procedure created all numbers and all

forms.


24

Creation can be represented through two numerical ways; 1,2,3,4…

knowing that one to four are necessary for the creation of everything as it

takes three phases of creation by The One. Another way is through

1,1,2,3,5,8… which is the known Fibonacci sequence, knowing that 1 to 8

are the necessary elements for creation. Actually both sequences have the

same meanings yet each one has a different geometrical manifestation Fig(9)

To create a single unit of creation, two

circles intersect creating a Vesica Piscis.

The Vesica Piscis can be called a seed like

the seeds in the known flower of life in sacred

geometry. A single seed can represent number one as a unit for counting

and not one THE ONE or one that represents the singularity Fig(10).

The seed unit can be converted into two triangles represented in 2 and 3 as

it is formed from two triangles fig(11).

Fig. 9: Three Geometrical Sequences Showing The Process Of Creation

Fig. 10: Vesica Piscis


25

To create the form of a single

number the number of seeds

has to be created through the

intersections of circles and

the diagonals forming the

standard geometrical shape

have to be the joining point

of the seeds fig.4. To create a

solid the number is multiplied

by 2 because of the diagonals

and outer seeds. Fig(12)

Fig. 11: The seed unit as drawn from two triangles depicting 2,3 as the counting unit 1

Fig. 12: The figure shows how to convert numbers to forms

through seeds in order to create solid forms


26

Creating a form of a single number can be represented also in a geometrical

non solid shape. Achieving this happens by dividing a circle by the needed

number and creating the seeds. Multiplying by 2 using diagonals can then

create the other seeds which creates a shape more of a solid form of the

number yet still a 2D geometrical shape will keep replicating itself in case of

3 and 4 fig(13).

Fig. 13: Single numbers generated from the division of a circle


27

CONVERTING TWO NUMBERS INTO A FORM

To convert two interacting numbers into a form; a circle is divided into two

halves, each half is divided by the needed number, the units or the seeds are

then created, then the units are multiplied by two to create a solid with the

outer seeds. Interacting numbers always create meanings based on

Numerology and forms

with special

proportions and angles.

Those forms can create

simple geometrical

shapes, pendants, solid

objects, life patterns

such as leaves, and the

sophistication can

reach the creation of

forms that are similar

to archetypal like human face forms Fig(14). The final form always depends

on the selection of lines and transforming them through tangencies yet the

final form will keep the meaning of the interacting numbers.

Fig. 14: Creating a form out of two interacting numbers


28

CONVERTING 3 NUMBERS OR MORE INTO A FORM

As explained before; according to numerology numbers do have meanings

and numbers act like personalities. That’s why interacting numbers create

extra meanings, behaviors, functions, and patterns.

To create a pattern or a form based on three or more interacting numbers;

each number is converted to its geometrical shape or star shape, the shapes

are to be intersected, each shape should intersect as if each standard shape

is added adjacently, the shape is then multiplied by two in order to create

the outer seeds, and this would be the final solid form of the interacting

numbers. Arcs and circles can be created as explained before since all this

geometrical pattern comes from the seeds and circles Fig(15). This form can

be used also as a design grid which will hold the proportions and angles of

its numerical interaction preserving meanings.

This way converting interacting numbers into forms can be achieved

through a very simple procedure and still preserve meanings. A Form can

also be converted into numbers by counting its seeds therefore

understanding its meaning, behavior, and function.

This form is created from the interaction of 5, 6, and 3 which creates a solid

form that is similar to the human skull from its front and back with muscle.


29

Fig. 15: Converting 3 interacting numbers into a solid form or a pattern


30

N a r m o n i c s

The Interacting Harmonic Numbers

Narmonics is concerned about finding meanings of numbers through

geometry. As shown in the previous pages, numbers can interact creating

forms. In order for these forms to create harmonic meanings, some

properties of numbers have to be understood based on geometry. Sacred

numbers as known in many cultures can also be understood through

Geometry. It all comes from the divine One from which all sacred numbers

and geometry appeared through its manifestations. All forms can be

understood and become in perfect harmony once related to the invisible

circle the light of The One. It is the art of knowing the Archetypes,

understanding them, their interactions, in order to harmonize them.

FINDING HARMONIC NUMBERS

In order to find harmonic numbers, numbers must be represented in their

geometrical forms. As explained previously a circle has to be divided into

the needed number in order to create its star shape. Therefore an angle can

represent numbers. That’s why the angle 360 can represent the one, while 2

can be represented by 180, 3 by 120, 4 by 90, etc...

To find 2 harmonic numbers, numbers have to be converted into angles


31

and one of the numbers should be

complementary to the other one. So if we want

to find the harmonic number of 3 it would be 6

since the complementary of 120 is 60 which are

the angles of 3 and 6, same for numbers 4 and

4 represented by 90 and 90 degrees.

Ancient civilizations divided the circle into 6

sectors each represented a whole one. While it is believed that 60 was

chosen to be the angle of the one whole sector since it can be divided by

many numbers. However I believe that the reason for choosing 6 as a whole

one for each sector was because 6 is the only number that perfectly fits the

seeds of 6 intersecting circles with the central one the seven Fig(16).

Choosing the 360 can be due to the Luni-Solar sacred ancient calendars,

while 60 is divisible by many numbers and is the perfect 6 divisions of the

360.

In order to find 3 harmonic numbers the angle 180 can still be used for the

complementary angles of the triangle. As for 4 numbers the angle 360 can

be used. Numbers more than four can use the summation of the internal

angles of standard shapes or the divisions of the circle which will be part of

the 360 also. The sum of internal angles of any polygon is (n-2)*180 where

n is the number of sides or angles.

A group of harmonic three numbers can be: 6,6,6 / 4,6,12 /3,12,12 / 3,8,24

/ 3,9,18 / 4,5,20 / 4,8,8 / 5,4,20 / 5,5,10 / 8,3,24 / 8,5,10 / 9,4,72 .

Fig. 16: The six as the perfect

intersections of 6 circles


32

SACRED NUMBERS

By dividing a circle into equal divisions numbers can create whole numbers

of divisions as 1,2,3,4,5,6, 8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,

180,360. This is a set of sacred numbers while their angles are the division

of the 360 degrees by those numbers which create a reverse sequence of

same numbers: 360,180,120,90,72,60,45,40,36,30,24,20,18,15,12,10,9,8,6,

5,4,3, 2 ,1. Small angles such as 45 degrees can be used in its complementary

form which is 180-45= 135 degrees. The count of numbers in this set is 24

which is 6 according to numerology which is the perfect division of a circle.

The summation of this set provides the number 1170 which is 9 according

to numerology the perfect harmonic number as will also be explained in

next few pages based on the geometrical form of 9. Because all numbers are

created by the One and all have a central circle at which the centre of the

seeds is located, a one can be added to all this sequence creating another

sacred group of numbers that is: 7,11,13,16,19,21,25,31,37,41,46,61,

73,91,121,181 and, 361. The count of numbers in this set is 16 which is 7

according to numerology which are sacred numbers as will be explained in

the next pages.

Simplifying the first set of numbers by numerology creates a new set that is

1,2,3,4,5,6,8,9,1,3,6, 9,2,6,3,9,4,9,6,9,9,3,9,9 while the other set can be

simplified to 7,2,4,7,1,3,7,4,1,5,1,7,1,1,4,1,1.


33

SACRED SIMBOLOGY

Understanding meanings of sacred forms or sacred geometry is totally the

same thing as understanding the meanings of numbers and angles in the

invisible patterns behind forms. It is the same thing to create meanings

based on this hidden sacred language which is all Sacred Simbology.

Some numbers in Numerology hold some meanings such as One the

singularity or the unity, Two the polarity, Three the creation, Four the

Earth and stability, etc…

Meanings of numbers change

according to cultures,

religions and philosophies.

Therefore some cultures find

number 13 to be of bad luck

yet other civilizations find 13

to be a holy number. Here

I’m not showing bad or good

luck numbers or even

meanings in religions yet I’m

showing meanings that are

derived from geometry and still can fit with philosophy and numerology.

Some numbers are believed to have a geometrical form such as one which is

depicted as a circle or a central point and resembles singularity and infinity,

number two is believed to be the line or the two points being polarity,

Fig. 17: Standard Shapes Resembling Numbers


34

number three is drawn as a triangle that resembles trinity in three points and

creation since it’s the first geometrical shape, number four is believed to be

the square that resembles stability like a structure with four pillars or the

earth having the four directions (North, East, South, and West), while other

standard shapes resemble some other numbers Fig(17).

Narmonics explains the meanings through shapes and as explained before

shapes are created from the intersections of circles at a central circle. It was

also explained that numbers are the divisions of the one or the circle that’s

why the structure of standard geometrical shapes come from the division of

a circle Fig.9.

Number One: The point or the centre or the circle and as explained it

represents infinity, The One, The creator of all things, Unity and singularity.

Fig. 18: Numbers As The Divisions of A Circle


35

Number one is the Archetype of the creator, the Hero or the Leader and

the sacred stream.

Number Two: The polarity between two points that creates interaction.

Number two is the first phase of creation which created the first seed yet it

has no proportions. It can represent strong interaction that can cause

conflicts due to the angle 180 since the two points oppose each other. it

represents opposition. Number two is the Archetype of polarity, the

feminine part of the man that needs interaction, and triumphal victory in

battles. Number two represents the element Fire.

Number Three: The first creation before the Earth in the heavenly world. It

is the second phase of creation which created the first two dimensional

shapes or planar shapes. This phase is the start of proportions and angles. It

is the first step towards meanings. And since it’s composed of three points

having an angle 120 between them it represents trine which is an angle

having no conflicts. That’s because when one of the three point loads on

the other two, they can bear the load like the arch structures or arcades.

Number three is the Archetype of peace and is the archetype of heavens,

the heavenly divine creation and eternity. Number three represents the

element air.

Number four: The creation in the Earthly world which is a corrupted world.

It is the third and final phase of creation which can create three dimensional

solids and forms. Since it’s composed of four points having 90 degrees

between each, it represents stability and balance if horizontal, yet the

relation 90 degrees which is called the square is not a good relation as it can

collapse because of cracks if vertical. If number four which represents the


36

earth added to its spirit the heavens it can reach the trine to find the One.

This can be explained through a pillar holding a huge stone with a 120

degrees supporting triangle or using domes and arches in buildings. As the

Arches and domes fix the earthly buildings to go vertically towards the sky,

the world was fixed by the Holy Spirit. The four is the archetype of the self

or the psyche that struggles against corruption trying to be divine. Number

four represents the element Earth.

Number Five: The first creature on the earth and can represent humans.

Since all numbers can be created from 1 to 4 and creation is through 3

stages after the one. It appears like number five can be 4+1 which is adding

a spirit or light from the One to the earth giving it life and protection

against corruption, or creating humans from the earth. Five seeds can create

a human face having 2 eyes, a nose, and lips having a split in its half.

Number 5 is the head and four limbs having a center which represents the

psyche and its central self in the heart. It is the Archetype of life, protection

and struggle against death.

Number Six: It represents intercourse and love since it’s the intercourse of

two threes or two triangles. it is 3x2, 3+3. The angle 60 is an angle that

creates all necessary angles of life without the square or the 90 degrees. It

includes opposition, trine, and sextile. When reaching the six the five adds

to its spirit one or humans add to their spirits by adding one through the

holy rituals of marriage, intercourse, love and bond. Number 6 is the

interaction of polarities that creates peace, not wars and conflicts. It is

through differences, varieties, polarities, and changes; love, peace and

wisdom can be achieved. In the face it adds the eye chakra as a sixth seed


37

for the human face. Number six is the archetype of holy marriage, holy

rituals, insight, consciousness, Integrity, wisdom and magic. Number six

represents the element Water.

Number Seven: It represents wholeness and the perfect soul. A circle can’t

be divided into seven. Seven is beyond the six and it is the perfection of the

perfection. It is the 7th middle circle or the centre of the 6 which is the one

and adding one to the 6 to find The One. Number seven is the archetype of

the nobles, the divine souls, the ascending masters, saints, the tree of life,

flying to the heavens, the seven wars towards controlling the inner self.

Number seven represents Ether.

Number Eight: It represents universal interactions and perfect stability and

balance by two interacting fours. Number eight represents the complete

three dimensional solid forms created at the third phase of creation by the

four. A line -which is number two- can create a 2D shape when having

another line. Therefore two by two creates a 2 dimensional shape. In order

to create a 3D solid there must be a third line a 2x2x2 which creates

volume. The solid volumetric form of 8 is16 which is formed by the outer

seeds. According to BioGeometry® number 16 is a golden number that

creates balance and from it comes the golden ratio 1.618. Dividing the circle

into 8 divisions create the angle 45 which creates both square interactions

and opposition and can be created by two squares. The angle 45 and its

summation can create healthy interacting angles such as 135 and 45 which is

very near to 60 and 120. Number 8 or the star of 8 is the first 3x3 magic

square that forms the universal interactions yet numbers filling a magic

square has to be filled not to create conflicts caused by oppositions and


38

squares. This magic square was used by all civilizations. Number 8 is the

archetype of the Alchemist and the search for the golden soul and the gold

qualities. It’s also an archetype for Mystic rituals and occultism.

Number Nine: It represents harmony and individuation. It is the integration

of the uncommon and the opposites. It’s the deep spirituality and inherited

paranormal. Number nine is the division of the circle by 40 degrees. This

creates many possibilities of interactions without conflicts yet needs

spirituality otherwise no interactions would take place. The star of nine can

form a 3D solid when adding another 9 seeds which creates the 18. And

since 18 is a perfect division of the circle adding the central circle would

create 19 which is a perfect holy number. As the 9 is deeply spiritual and

wise adding one to its 18 creates the 19, also when a deeply spiritual and

wise person keeps seeking for The One, The One adds light to his soul and

finds his way to enlightenment. The nine is the archetype of Cooperation,

Collaboration, The peace maker, The Psychic, the enlightened soul,

Gnosticism.


39

ANGLES OF INTERACTION

Many angles of interaction can be found from the angles of each number.

Angles can be easily derived by the summation of the same angle. All

numbers are from The One and Part of the One, that’s why they all lead to

The One which is the angle 360 degrees.

Number One: 360

Number Two: 180,360

Number Three: 120,240,360

Number Four: 90,180,270,360

Number Five: 72,144,216,288,360

Number Six: 60,120,180,240,300,360

Number Eight: 45, 90,135,180,225,270,315,360

Number Nine: 40, 80,120,160,200,240,280,320,360


40

It appears from the previous angles that the angles 180, 120, and 90 are very

essential angles for creation. They are the angles that can form geometrical

pattern grids and fit perfectly. By divisions all angular numbers can be

produced. 180/2=90, 120/2=60, 90/2=45 120/4, 120/3=40. It appears

again that all numbers and all forms can by created from one to four. For

example the four has a two appearing in the180 but in a new manifestation

having the 90 and 270,The same for the six which is an interaction of the

two and three that’s why we find the 120,180,240 in the six. It is clear that

the eight is another manifestation of the two and the four having 90,180,

and 270 in it. The nine is the perfect manifestation of the 3 having the 120

and 240 while the 40 comes from the 3 parts of 120.

Numbers and shapes need each other in order to exist and function. In

order to find their purpose they have to find their traits. Finding our traits

helps us to self operate and with others makes us cooperate.


41

TRAITS of GEOMETRICAL NUMBERS

Number One: is the hidden trait that all numbers and shapes have and can

only be seen when complete and perfected.

Number Four: it has the trait of two and needs the two.

Number Five: its traits are hidden and is lost if it did not search for The

One since it was created from the four with adding one to its soul.

Number Six: it has the traits of two and three and needs them.

Number Seven: It is the five after finding its way to The One.

Number Eight: It has the traits of two and four and needs them.

Number Nine: It has the traits of three and three.

A group of harmonic numbers based on traits is 2,4 / 2,3,6/ 5,7/ 2,4,8/

3,6,9


42

HARMONIZING SACRED ANGLES

Previously it was explained that there is a relation between numbers and

angles. Angles mentioned previously can generate more angles by

subtracting them from 180 or 360. Following the same previous rules of

how to harmonize numbers by the 180 and 360 summations, harmonized

angles can be found by converting harmonic numbers into angles. Here is a

group of harmonic angles: 60,60,60 / 90,60,30 / 120,30,30 / 120,45,15 /

120,40,20 / 90,72,18 / 90,45,45 / 72,90,18 / 72,72,36 / 45,120,15 /

45,72,36 / 40,90,5 . More angles can be found by the traits of numbers such

as 90,180/ 60,180,120/ 45,180,90/40,120.


43

HARMONIC NUMBERS’ WHEEL

Because numbers are composed of main nine

numbers from 1 to 9 and 9 is a harmonic

number that harmonizes numbers, number

nine can represent a wheel. Therefore a circle

of nine numbers each at a sector of the 9

divisions circle can represent numbers being in

harmony Fig(19).

The nine numbers in the wheel can show a cycle that is similar to human

life. A man is born at the one from the spirit of The One, he starts fighting

and crying when at the two, he then starts to learn and be more creative and

love to create things when at three, he then starts to be rational and

corrupted since he starts having experience at the four, After this he beings

to be a human who is responsible for himself and starts to find himself

being a man at the five. The man then starts to find more purpose in the

world so he gets married at the six, then he starts to find answers till he find

his soul and is connected with his spirit at the seven. A man who finds his

way to his soul starts to be into mysticism or occultism or religious belief,

rituals, and be wise at the Eight, and after being so deep connected with the

Fig. 19: Harmonic Number’s Wheel


44

light in himself or being reflected from God he stars being enlightened at

the nine. If a person reaches all these levels he then eats from the tree of life

and starts a new cycle in a new eternal world.

Number harmonies can be achieved from this wheel. Many sequences can

be delivered such as 1,3,5,7,9/ 2,4,6,8/ 1,4,7/ 2,5,8/ 3,6,9/.

Interactions of numbers provide meanings, for example1,3,5,7,9 is more of

a peaceful and spiritual sequence starting from the one then finding the One

till finding harmony and peace.


45

COLORS AND NUMBERS

Numbers can be converted into colors starting

from Black and ending with White. Number

one is Black, two is Red, three is Orange, four

is Yellow, five is Green, six is Blue, seven is

Indigo, eight is Violet, and nine is White

Fig(20).

It appears from the wheel that Black was the start of things knowing that

one here is a phase or a stage and not The One who is the creator. Creation

started at Red as days start from the sun set in many cults and religions

while fire is Red. Peace at three appears to have the Orange color which is a

healing color, while four is Yellow which is the earth color. Five is the

Green energy of the human heart. Six is the blue water color, seven is

Indigo which is a healing spiritual color. Eight is Violet which is also a

spiritual color. As for nine it is the harmony that reaches enlightenment and

the start of a new cycle which is White or White light, or eternity.

This wheel is not a wheel for selecting colors as the 12 color wheel, yet it is

used only to match colors with numbers to have their meanings.

Fig. 20: Colors and Numbers


46

THE END OF CYCLES THE 13

As explained previously dividing the circle provides a set of numbers and

angles which is 1,2,3,4 ,5,6, 8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,

180,360. It was also explained that this set can be simplified as the sequence

1,2,3,4,5,6,8,9,1,3,6, 9,2,6,3,9,4,9,6,9,9,3,9,9.

This sequence has some properties since its summation provides the

number 135 which is the complementary angle of 45 the eight and the

number 9 with adding its units. This sequence also has other properties by

adding its numbers which provides sacred numbers for example; 1+2=3,

3+4=7, 5+6=11,etc…The same sequence can be added by another way

which is similar to adding the Fibonacci sequence that adds sacred numbers

like adding 1+2=3,2+3=5,3+4=7, 4+5=9. Each way of adding the

sequence provides another group of sacred numbers. Here is the first set of

numbers :3,7,11,17,4,15,8,12,13,15,12,18. The second set is

3,5,7,9,11,14,17,10,4,9,15,11,8,9,12,13,15,15,18,12,12,18.

As explained before, nine represents the physical circle as it contains the

nine numbers while in harmony. Number nine was also explained to be an

end of a cycle and a start of a new cycle. That’s why numbers in the

sequence 1,2,3,4,5,6,8,9,1,3,6, 9,2,6,3,9,4,9,6,9,9,3,9,9 create a sequence that

keeps going in cycles till ending at the last 9. Because the 9 is the end of

each cycle this sequence is part of 13 cycles. The cycles keep rotating


47

around the center of the nine numbers wheel till the last and final cycle the

thirteenth cycle. Here are the numbers in each cycle:

1,2,3,4,5,6,8,9/1,3,6,9/2,6/3/9/4/9/6/9/9/ 3/9/9 Fig(22).

Each cycle of the sequence can be summed to be

11/19/8/3/9/4/9/6/9/9/3/9/9. The Mayans believed 13 to be the end of

cycles that the long count calendar counted for. They also used to divide the

year into a cycle of 18 month each 20 days. It is now clear that from the

summation of each two numbers in the sequence creates12 numbers while

the last is 18 and the 18x20=360 which is the number of days in an ancient

Luni-solar year. 12 is a system of cycles that we use each day while the13 is

the end of cycles. That’s why 18 can represent the 12 cycles or months

while 13 is the end of cycles and the coming of the new sun according to

the Mayans.

Fig. 22: The 13 Cycles as Represented on The Numbers Wheel


48

Number 12 is used to represent the perfect universal cycles and interactions

as it is a very sacred number that comes out of 2, 3, 6, and12. It also has the

interactions of 3 and 4. That’s why number twelve has all sacred angles of

interaction; 180, 120, 90, 60. These angles come from converting 12 to its

angle which is 30 that provides 30,60,90,120,150,180,210,240,270,300,330,

360.

Number 12 can be created

as geometry by the

intercourse of two triangles

which creates the six.

Having the perfect 6 in its

solid form creates the 12 by

adding the outer seeds of

the 6. This is done by

multiplying the 6 by 2 which

creates the 12 cycles in a

year, in a day, in a night, the

zodiac, a magic wheel,

harmonic colors wheel,

lunar cycles per year, the

aspects in astrology charts

and the most harmonic

angles 120, and 60. It also creates the perfect number 60 that is the number

of minutes in an hour which was explained earlier in the previous pages

Fig(23).

Fig. 23: Number twelve created from the intercourse of 2 triangles


49

CROSSING NUMBERS & INTERCOURSE

When multiplying two numbers by each other, a product is produced.

Numbers are productions of other numbers. They are the result of

reproduction or intercourse that takes place between two numbers or more

possibilities of numbers. For instance number 12 is the intercourse of two

possibilities 3x4 and 2x6 that’s why number twelve holds the traits of the

four numbers having the angles 120, 90,180, and 60. Same for number 18

that is born from the intercourse of 9x2 and 6x3, that’s why this number

inherited the traits of 9, 2, 6, and 3 which are the angles 40, 180, 60, and

120. So in the case of the new born 18 its shape angle must be an angle that

provides the inherited traits that’s why its angle would be 20 that can

preserve the traits.

SUMMATION, INTEGRATION & CROSSING

Adding two to four creates 6, that’s when integrating a square with a line

which produces a hexagon yet a deformed hexagon. It is said that all

numbers can be created from one to four and that’s possible since they have

the most essential traits. Integrating two numbers or adding two of them

needs a rearrangement process for the internal angles of the shape in order

to exist.


50

When creating the six as a result of

integrating 2+4 in the physical world, the

soul of six starts to exist as a meaning or a

concept or like archetypes. In order to exist

it must take a new form and become a new

creature. That’s when the 6 is given spirit

from The One in order to exist. When the 6

starts to know it is a 6 and not a 2+4 it then

starts to find its original traits which comes

from the intercourse of the 3x2. Here the 6

starts to be formed like a fetus in the womb

of his mother. The angle 60 that provides

both 120 and 180 can then create the shape.

Angles are the manifestations and the

actions of the spirit that is inherited from

The One. Angles are the start of the creation

process. Angles and proportions produced

by angles are manifestations that act through the law of its purpose. That’s

why the angle creates the shape through the area of each triangle in each

sector of the shape. The angle of 6 in this case is 60 which assembles the

hexagon in its perfect form having the traits of 3 and 2 and the integration

or summation of 2 and 4 Fig(24)

Fig. 24: Angle assembly and rearrangement


51

Neometry Forms By The Author

While developing Neometry I tried to construct some forms to prove that

numbers can be converted to forms and vice versa as explained in previous

chapters. It all started when I found that those numbers can manifest in

such archetypal forms having sacred proportions. And That’s when I

understood that this can be applied to all fields of life starting from cartoon

drawing and character design to anatomy and animal forms. I found it can

be applied to ancient world simbology and even modern physics. It can help

us understand allotropes of molecules and virus geometrical forms.

Neometry can go very far to Nanotechnology and more. Even platonic

solids, geodesy, and Fractal Geometry can be applied using same methods

of harmonies and angles of interactions discussed in previous chapters.

In this chapter I show you some of my very basic rough sketches that I

drew when I was developing Neometry. I’m showing this so you might see

some very basic examples of conversions from numbers to simple forms.

NEOMETRY ROUGH SKETCHES

I created the face in fig(25) from numbers 7,4,4.

From the properties of those numbers this

archetype personality is of a strong and very willing

character that hardly changes its mind yet has

magical abilities and super powers. This character

has a very stable and balanced nature. Fig. 25: A face created from 7,4,4


52

The beast is a form that creates the

archetype of Lions, Cats, and other living

creatures. It is created from 6,6,6 which

means that such archetypes have very strong

spiritual abilities yet can be very evil fig(26).

Maybe that’s why it is believed the antichrist

has the number 666. Maybe that’s why cats

are also believed to have some mystical powers! Yet 6,6,6 is a pattern having

proportions that can create many other forms and is very useful. No one

can say cats are evil because they have a beast archetype.

Dogs, This one was very funny because I was

trying to create a powerful manifestation of the

number 19 when this dog archetype appeared

from 3,5,5,6 fig(27). According to numerology

19 is very powerful as it comes from the

multiplication of 9 by two then adding one to its

spirit to go from 18 to 19 which is very spiritual

as discussed earlier. 19 is powerful yet loving and in harmony. 19 is even

considered to be the guard of spiritual gates. Isn’t this the spirit of dogs?

The loving, the powerful, the guarding, and the most in harmony when in

love.

Fig. 26: The Lion Created From 6,6,6

Fig. 27: The Dog Created

From 3,5,5,6


53

The Egyptian Sphinx in the Giza Plateau

fig(28), This was one of my discoveries

when I was searching for the most stable

forms of geometry and numbers. 16 which

comes from 4x4 or 2x8 which is the most

stable form of the 4. This form manifests

from the absolute stability and perfect

power due to the balance in 16, boldness and power in 8, stability and will

in 4, and the aggressiveness in number 2. This is why the proportions of

this face are very powerful and have a hidden message that we all feel when

we see it.

The chicken was the funniest when I was trying

some numbers in harmony such as 4,8,8 and a

chicken appeared fig(29). Of course as I

mentioned before such combinations can be used

to create other shapes and forms. This just shows

how our nature is ruled by a set of ratios, angles

and proportions that can simply be understood through numbers and

converted to sacred shapes and life forms.

Fig. 28: The Sphinx Created From 4,4

Fig. 29: The Chicken created

from 4,8,8


54

One of my evil characters that I created from

a group of numbers 4,6,4,9 fig(30). I

remember feeling afraid when I seen it

because I used to dream of it. I felt better

somehow after drawing it maybe this was a

Carl Jung’s individuation process or some sort

of art therapy when I revealed a hidden

archetype from my psyche and took control over it.

As mentioned in the book introduction, This is not a full illustrated book of

Neometry. Neometry is far beyond all these examples and has much more

capabilities, implications, and applications. Keep your creativity and listen to

your hearts to understand nature’s language. Stay tuned and design like

nature because nature talks. Use your mind, body, and spirit. Use your

compass, rulers and protractors, to let the forms speak.

Fig. 30: A character created

from 4,6,4,9


55

REFERENCES

1- Richard T. Wallis, Jay A. Bregman, Neoplatonism and Gnosticism, SUNY

Press, 1992

2- Robert Lawlor, “Sacred Geometry: Philosophy & Practice”, Thames &

Hudson, 1st Edition, 1982

3- Francis D.K. Ching, “architecture: FORM, SPACE AND ORDER”, 3rd

Edition, John Wiley & Sons, Inc., 2007

4- Huggett, Nick, "Zeno's Paradoxes", The Stanford Encyclopedia of

Philosophy (Winter 2010 Edition), Edward N. Zalta (ed.), URL =

http://plato.stanford.edu/archives/win2010/entries/paradox-zeno/.

5- Stephen Law, “The Great Philosophers: The Lives and Ideas of History's

Greatest Thinkers”, Quercus, First Published 2007, 2013

6- Drunvalo Melchizedek, The Ancient Secret of the Flower of Life, Light

Technology Publishing, 1st Edition, 2000

7- Elizabeth Moran, Joseph Yu, Val Biktashev, Feng Shui, THE

COMPLETE EDIOT’S GUIDE TO, ALPHA A Pearson, Education

Company, 2002

8- Richard Webster, “Talisman Magic: Yantra Squares for Tantric

Divination”, Llewellyn Worldwide Limited, 1995

9- Alfred Huang, “The Complete I Ching: The Definitive Translation by

Taoist Master Alfred Huang”, Inner Traditions / Bear & Co, 2010

10- Baffioni, Carmela, "Ikhwân al-Safâ’", The Stanford Encyclopedia of Philosophy

http://plato.stanford.edu/archives/win2010/entries/paradox-zeno/


56

(Summer 2012 Edition), Edward N. Zalta (ed.), URL =

http://plato.stanford.edu/archives/sum2012/entries/ikhwan-al-safa/

11- Michael Miller, Music Theory, THE COMPLETE IDIOT’S GUIDE TO,

2nd Edition, AlPHA A member of Penguin Group (USA) inc., 2005

12- Stuart R. Kaplan, The Encyclopedia of Tarot, U. S. Games Systems, 2005

13- Ibrahim Karim, “Back To a Future for Mankind: BioGeometry”,

BioGeometry Consulting Ltd, 1st Edition, 2010

14- The Red Book of C.G. Jung, RUBIN MUSEUM OF ART, October 7,

2009 - February 15, 2010,

http://www.rmanyc.org/nav/exhibitions/view/308

15- Balaguer, Mark, "Platonism in Metaphysics", The Stanford Encyclopedia

of Philosophy (Summer 2009 Edition), Edward N. Zalta (ed.), URL =

<http://plato.stanford.edu/archives/sum2009/entries/platonism/>.

16- Annemarie Schimmel, The Mystery of Numbers, Oxford University Press,

1994

17- Smiley, C. H. The Antiquity and Precision of Mayan Astronomy. Journal

of the Royal Astronomical Society of Canada. Vol. 54, p.222.

Bibliographic Code: 1960JRASC..54..222S.

18- Joanna Martine Woolfolk, “The Only Astrology Book You'll Ever Need:

Twenty-First-Century Edition”, Taylor Trade Publications, 2012

19- John North, Cosmos: An Illustrated History of Astronomy and

Cosmology, University of Chicago Press, 2008

20- Wael Fouda, SUBTLE ENERGY: A PHYSICS INTERACTING FORCE, El-

Safa Press, First Edition, 2013

http://plato.stanford.edu/archives/sum2012/entries/ikhwan-al-safa/

http://www.rmanyc.org/nav/exhibitions/view/308


57

2013 يناير 29تم تسجيل الفكرة بالشهر العقاري المصري في


59

ثذه ٠ى ف . اشا٠ب رض فظ١خ ازل اشى ب ٠سبػذ ػ ف ؼ ا١ئخ رفبػالرب

.اىض١ز ازس امذ٠خ وب ٠س ر١ذ اؼب األشىبي اذس١خ اح١خ

وب أ األرلب رزحبة رزبغ فبشا٠ب رزحبة أ٠ضب رزبغ ف اظفحبد ازب١خ رض١ح

٠زضح أ٠ضب أ األرلب . غػخ ره اشا٠ب ازغبسخ ازؼبخ و١ف١خ اسزخزاعب

امذسخ اشا٠ب احبوخ رخزط ززب١خ ذس١خ رل١خ زبغخ ٠ى أ ٠ز رح٠ب إ

ثبسزخذا ره اذائزح ٠ى ر١ذ اؼذ٠ذ األرلب ازبغخ اززب١بد . دائزح زفبػالد األرلب

األا أ٠ضب طرح طر األرلب از ٠ى ؼزفخ . از٠بض١خ ازؼمخ ثجؼضب اجؼض

.ػاللزب ثبألرلب خالي دائزح األرلب ازبغخ

٠ى ألرلب األشىبي ازشاط ثح١ش رم األشىبي ثز١ذ أشىبي عذ٠ذح زؼمخ ثبألرلب األط١خ

.ف افظبئ اذس١خ از رزحذد حست اشا٠ب


60

مختصر فكرة األرقام الهندسية كتشكيل و معاني كما سجلت بالشهر العقاري

اشى اذس ثسج سا٠ب غش ح١ز اإلسب فذ ازجب ث خفك امت حزن

فؼجز اؼظر درص اإلسب ست اخلبد اح١ا فىب شأ . اعذا ػجز و سب

ف و رش لذا . ألذ احضبراد أ ٠سا أث١خ ربص١ األرع األل ث األثم

.ؼب وض١زح ف و ػ أخفا خج١أح طرح طر ػ احىخ امذ٠خ

ذا اؼ اف أ اذس أ افسف حبخ ف األبط اذس١خ از ٠خزط ب

فىب ٠ذرص اذارس اذسخ امذسخ ف ست . رغ١بد طر ح١بح ف أشىبب اخزفخ

األشىبي اىبئبد اح١خ ف اطج١ؼخ ١زعؼا سجب إ اسجخ اذج١خ فف اظفحبد ازب١خ

٠زضح أ است اذج١خ ١سذ وبف١خ ف اطج١ؼخ، فبطج١ؼخ ١سذ غزد ست ىب ست رخزط

إب اطج١ؼخ . أبط ذس١خ رؼط١ب طفبد رفبػالد خظبئض افؼبالد ؼب

.رزحذس إ١ب ثغزب احسسخ ثبمت امزءح ثبذسخ

٠ى ثذا اف اذس أ ٠ز رح٠ األرلب إ أشىبي ذس١خ وب ٠ى رح٠ رفبػالد

رغسذ طر غػخ األرلب إ أشىبي أوضز رؼم١ذا رؼجز ػ ؼب ظبئف

أل ألشىبي طفبد ؼب وب الثذ ر١١ش األرلب األشىبي ف خظبئض . اطج١ؼخ

ذا رزض اظفحبد طزق حسبة إ٠غبد األرلب ازبغخ أ . و رل اذ ٠ض شى

وب أ األرلب ب خاص ؼب وب الثذ . ازحبثخ ذا ػ طز٠ك أسب١ت ذس١خ ثس١طخ

عد أرلب طبحجخ شأ رف١غ ث١ األرلب األخز اؼزفخ ثبألرلب امذسخ

أرلب خبطخ ب طفبد رجغ شىب اذس ٠ى رحذ٠ذب ػ طز٠ك اشا٠ب اظح١حخ

. از رزظ ػ لسبد اذائزح اىبخ

ازش٠خ ؼب األرلب األشىبي رف خالي دراسخ خظبئض و شى ذس ٠ض رل

ص ٠ظز وب اضح ف اظفحبد ازب١خ أ بن غػخ سا٠ب حبوخ زفبػالد

Documents

NEOMETRY: Let the Forms Speak