h0.1 symmetry
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TRANSCRIPT
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Geometric Art
Symmetry
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SymmetryLine
BilateralRotational
Point
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Line Symmetry
• If there is a line in which you can fold the object so that every point on one side falls on the exact corresponding point on the other side, then there is line symmetry.
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Line Symmetry
•Fold Symmetry
•Mirror Symmetry
• There are synonyms for line symmetry. They are…
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Is a butterfly symmetrical?
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Monorah Mosque
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Frieze Pattern
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Oh Canada
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Bilateral Symmetry
• Most animals and insects have bilateral lines of symmetry.
• If there is only one line or fold of symmetry, then it is called bilateral.
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This example bugs me!
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Rotational Symmetry• If you can turn the diagram
by an angle less than 360 degrees and the picture remains the same, then you have rotational symmetry.
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Line and Rotational
Line of symmetry = Line of symmetry =
Angle of rotation = Angle of rotation =
8450
5
720
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How many folds?
Angle of Rotation =
6
600 1200
Just use the smallest angle of rotation.
1800
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How many folds? 3
Angle of rotation ?
600
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Point Symmetry• Point symmetry is rotational
symmetry that only works at 180 degrees.
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Point Symmetry
Angle of rotation is only 1800
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Ambigram n., - a word or words that can be read in more than one way or from more than a single vantage point, such as both right side up and upside down.
(from Latin: ambi=both + gram=letter)
Rotation of 1800
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Rotation of 1800
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Rotation of 1800
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Rotation of 1800
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No because the colors do not match up.
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Examples of Symmetry
• Indicate if the symmetry is either
1. Line2. Bilateral3. Rotational4. Point5. Multiple Types
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Bilateral
Parthanon, Athens
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How many lines of symmetry?
2Transamerican Building
San Francisco
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Angle of Rotation? 600
Lines of Symmetry ? 6
Guggenheim Museum, NYC
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Bilateral
No !
Saudi Arabia
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Bilateral
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Reichstag, Berlin
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Bilateral
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Louvre, Paris Art Museum
I.M. Pei
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BilateralOrient Express Railroad Station, Lisbon
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Line Rotational
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Line Rotational
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Lotus Temple, New Delhi, India
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Bilateral
Thorncrown Chapel, Arkansas
Fay Jones
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Thorncrown Chapel, Arkansas
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Rotational Line
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Palindromes
OTTO
ATOYOTAdennis sinned
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None because of the colors.
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Point None
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Floor Plan at Vatican
Point Line
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NoneNone
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Bilateral Dolphin and the Swan Hotel
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Bilateral
Dolphin and the Swan Hotel
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Plastic Surgery• All runway models have
93% symmetry in their faces. Let’s look.
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We made these artworks by photocopying our photographs, cutting them in halfthen turning the picture upside down and attempting to copy all the lines and
shades we could see.
Symmetry of the Human Face Art Activity
No face has perfect mathematical symmetry!
But plastic surgeons study facial symmetry to help them reconstruct faces.
It is thought that as a face gets closer to symmetrical more people think it is beautiful.
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Is the Face Really Symmetrical?
'Some faces are more symmetrical than others.' Is this True?
After much thought an Art teacher at school and I worked out a way to find out. We photographed some of the children and then through a bit of 'darkroom magic' manipulated them.
You'll notice that the photos of each child's face is made up of the original photo, 2 left sides and 2 right sides.
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Right / right Left / left The Original Photo
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Who am I ?
Hallie Berry
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Right / right Left / left The Original Photo
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Right / right Left / left The Original Photo
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Right / right Left / left The Original Photo
It really does appear that some faces are more symmetrical than others!
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Arab or
Israeli?
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Crouching Tiger Hidden Dragon
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Who am I ?
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Austria
Denmark
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China
Indonesia
None
Bilateral
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Iceland
UK
Bilateral
Point
Bilateral
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France
Russia
Bilateral
Bilateral
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• Norway
Switzerland
Bilateral
Norway
Rotational
Line
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Have you caught on to the types of symmetry?
Oui, mon captain.
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C’est fini.
Good day and good luck.