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Proportion + Ordering Systems

Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

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Page 1: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

Proportion + Ordering Systems

Page 2: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

PROPORTION:

Page 3: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

PROPORTION: This term refers to the proper or harmonious relation of one part to another or to the whole

Page 4: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION

The Golden Section is also known as: Golden Mean Golden Ratio Golden Rectangle Devine Proportion It is a ratio defined by the number Phi ( = 1.618033988749895... )

Page 5: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION

Page 6: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION

Page 7: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION

Page 8: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION

Page 9: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION

Page 10: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION

Page 11: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION

Page 12: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION

Page 13: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION

Page 14: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION nature

Page 15: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION nature

Page 16: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION fibonacci numbers

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …

Finobacci number are closely related to the GOLDEN SECTION and also appear in nature

Page 17: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION fibonacci numbers

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …

Page 18: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION fibonacci numbers in nature

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …

The spirals of a pine consist of 5 and 8 arms, or 8 and 13, depending on the size

Page 19: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION fibonacci numbers in nature

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …

The spirals of a daisy and sunflower grow in two spirals extending from the center. One spiral have 21 arms, while the other has 34.

Page 20: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

What is the intent of using proportions?

Page 21: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

Through the use of proportions the intent is to create a sense of order and harmony among all the visual and constructive elements, establishing a consistent relationship between the parts and the whole.

What is the intent of using proportions?

Page 22: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION classical orders of greek architecture

The Parthenon, Athens, 447-432 B.C.

Page 23: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION classical orders of greek architecture

The Parthenon, Athens, 447-432 B.C.

Page 24: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION classical orders of greek architecture

The Parthenon, Athens, 447-432 B.C.

Page 25: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION classical orders of greek architecture

The Parthenon, Athens, 447-432 B.C.

Page 26: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION classical orders of greek architecture

The Parthenon, Athens, 447-432 B.C.

Page 27: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION classical orders of greek architecture

The Parthenon, Athens, 447-432 B.C.

Page 28: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION classical orders of greek architecture

The Parthenon, Athens, 447-432 B.C.

Page 29: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION classical orders of greek architecture

The Parthenon, Athens, 447-432 B.C.

Page 30: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION classical orders of greek architecture

The Parthenon, Athens, 447-432 B.C.

Page 31: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

GOLDEN SECTION classical orders of greek architecture

The Parthenon, Athens, 447-432 B.C.

Page 32: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

CLASSICAL ORDERS of greek and roman architecture

The Parthenon, Athens, 447-432 B.C.

Page 33: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

CLASSICAL ORDERS of greek and roman architecture

Page 34: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

CLASSICAL ORDERS of greek and roman architecture

Page 35: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

CLASSICAL ORDERS of greek and roman architecture

Page 36: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

LE CORBUSIER modulor

Page 37: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

LE CORBUSIER modulor

Anthropometric Scale based on the height of an English man, developed in an attempt to discover a proportion system based on a human body, which could be used to improved the appearance and function of architecture.

Page 38: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

LE CORBUSIER modulor

Unité d'Habitation in Marseilles

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PROPORTIONING systems

JAPANESE Tatami

Nison-in Temple

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PROPORTIONING systems

JAPANESE Tatami

Page 41: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PROPORTIONING systems

JAPANESE Tatami

Page 42: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PARAMETRICISM

Page 43: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PARAMETRICISM

This style values form over function, and unlike Le Corbusier’s Modulor, this system does not take into consideration any proportioning system. This form rejects firm tectonic geometry forms such as circles, cubes, rectangles and pyramids, all of which are used in classical architecture to create proportioned systems. This style rejects any rigid forms, such as the ones created by Le Corbusier.

Page 44: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PARAMETRICISM

Page 45: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

PARAMETRICISM

Page 46: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

Ordering systems create order in architecture composition, enabling each part of the whole to be organized in reference to other parts to create a harmonious arrangement.

Page 47: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

AXIS

A line established by two points in space, which can be used to arrange a series of objects or spaces in a balanced manner

Page 48: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

AXIS

Itsukushima Shrine

Page 49: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

AXIS

Itsukushima Shrine

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ORDERING systems

AXIS

Typical Chinese Courtyard House

Page 51: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

AXIS

St Peter's Square, Rome, Italy

Page 52: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

SYMMETRY

The arrangement of equivalent spaces or objects on both sides of the dividing line, plane, or axis

Page 53: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

SYMMETRY

Page 54: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

SYMMETRY

Villa Capra

Page 55: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

SYMMETRY

Unity Temple

Page 56: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

SYMMETRY

Unity Temple

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ORDERING systems

SYMMETRY

Santa Cruz Opera House

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ORDERING systems

HIERARCHY

The articulation of a significant space or form by its size, shape or placement in relation to other spaces

Page 59: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

HIERARCHY

Page 60: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

HIERARCHY

Page 61: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

HIERARCHY

Page 62: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

HIERARCHY

Page 63: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

HIERARCHY

Page 64: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

RHYTHM

A unifying movement characterized by a patterned repetition

Page 65: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

RHYTHM

Page 66: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

RHYTHM

Page 67: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

RHYTHM

Page 68: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

RHYTHM

Page 69: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

RHYTHM

Page 70: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

ORDERING systems

RHYTHM

Page 71: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

RHYTHM

ORDERING systems

Page 72: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

RHYTHM

ORDERING systems

Page 73: Proportion + Ordering Systems - WordPress.com · GOLDEN SECTION classical orders of greek architecture The Parthenon, Athens, 447-432 B.C. PROPORTIONING systems ... Proportion + Ordering

RHYTHM

ORDERING systems