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Supervisor: mgr Sylwii Jasiewicz Author s: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

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Page 1: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Supervisor:

mgr Sylwii Jasiewicz

Authors:

Małgorzata Kosałka

Monika Sulka

Angelika Kudzia

Sylwia Grabiec

Page 2: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Introduction

Man and symmetrySymmetrical buildingsWhat a car has to do with symmetry? Symmetry in nature

Summary

Miscellaneous

Page 3: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

We would like to show you that symmetries are around us. They are present in our everyday life. Seldom do we notice them. The story about symmetry starts at our homes which are pervaded by it, although asymmetry is becoming more and more popular.

Page 4: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec
Page 5: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Despite the growing number of ways of shaping glass, the glasses remain symmetrical.

Page 6: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec
Page 7: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec
Page 8: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec
Page 9: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec
Page 10: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

The hair may not be symmetrical, but the whole face is.

Page 11: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Mr. Bean’s face remains symmetrical even when he makes various silly faces.

Page 12: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Atomium, Belgium, Brussels

The Eiffel Tower, Paris, France

Branicki House, Poland, BiałystokOrthodox church, Estonia, Tallin

Page 13: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Atomium is an example of modern architecture. Although nowadays asymmetry is in vogue, the building is symmetrical.

Page 14: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

The designers of this House showed great abilities, for even the rooms in the buildings are symmetrical.

Page 15: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

There are symmetrical buildings in every

country. Estonia is no exception here.

Page 16: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

The world’s most famous tower is also symmetrical.

Page 17: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec
Page 18: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Once we get inside our super-symmetrical car, we may admire symmetrical steering wheel, buttons, knobs, gear lever, etc.

Page 19: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Symmetry in nature is not a common thing. It is enough to look at plants and animals. In nature there are no ideal shapes, but while looking at an orange, everybody sees a ball. Therefore, the notion of symmetry cannot be dismissed entirely from nature.

Symmetrical fruit

Symmetrical flowers

Page 20: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Watermelon

Avokado

Peach

Pomegranate

Apple

Coconut

Nut

Orange

Page 21: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Watermelon resembles in shape a ball. The patterns on its skin are not symmetrical, but the whole fruit is. Its seeds are also symmetrical. Watermelon displays central symmetry. We must admit that the fruit is very tasty, unfortunately, this cannot be measured in terms of symmetry.

Page 22: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Avokado has one plane of symmetry. Its leaves are also often symmetrical.

Page 23: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Apart from having many planes of symmetry, peaches display central symmetry, like peach flowers.

Page 24: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Peach flowers have five petals and may have 1-5 planes of symmetry, depending on the position of the petals.

Page 25: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Pomegranate has five planes of symmetry.

Page 26: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec
Page 27: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Coconut resembles in shape a ball. Even the centre of the fruit is symmetrical. This fruit may have an infinite number of planes of symmetry and displays central symmetry.

Page 28: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Nuts are symmetrical, but they do not have an infinite number of planes of symmetry.

Page 29: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

ORANGE

Orange is famous not only for its taste but also for its central symmetry.

Page 30: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec
Page 31: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec
Page 32: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

A pansy has only one plane of symmetry.

Page 33: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Pipe vine also has only one plane of symmetry.

Page 34: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Lady Slipper has an unusual shape which does not prevent its being symmetrical.

Page 35: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

… may boast of five planes of symmetry.

Page 36: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

This beautiful flower which symbolizes love is also symmetrical.

Page 37: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Windflower holds the record among flowers. It has six planes of symmetry! On top of that it displays central symmetry.

Page 38: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec
Page 39: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Even when the wind blows, the windmill remains symmetrical.

Page 40: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Symmetry clearly dominates our surroundings. However, what it worth noticing, it does not take exactly measured form but contributes to putting our everyday life in order. We see it at home in objects and appliances used for preparing food etc. Nobody measures flowers and trees with a ruler. It is enough for them to have similar colours and shapes reminding us of various figures. What is symmetry, then? Putting reality in order. Nobody likes to live in a mess and chaos.

Page 41: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Buildings

Road signs Cars Flowers Geometrical figures

the Eiffel Tower

prohibitory signs

Volksvagen daisy triangle

Taj Mahal regulatory signs

Toyota narcissus square

Łuk Tytusa warning signs Citroen daffodil rectangle

Teatr Wielki in Warsaw

information signs

Deaewoo rose regular pentagon 

Golden gate in Gdańsk

  Mercedes gerbera regular poligon

Sacré Coeur in Paris

    marsh marigold

isosceles trapezium

Triumphal Arch

    orchid kite

Gold temple     primrose deltoid

Page 42: Supervisor: mgr Sylwii Jasiewicz Authors: Małgorzata Kosałka Monika Sulka Angelika Kudzia Sylwia Grabiec

Is symmetry around us?

0

2

4

6

8

10

12

14

16

Number of people

Do we meet with symmetry in everyday life?

Yes

No

I don't know

Defi nitely yes

Defi nitely no

I haven't thoughtabout it.