Download - H0.1 Symmetry
Geometric Art
Symmetry
SymmetryLine
BilateralRotational
Point
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.
Line Symmetry
•Fold Symmetry
•Mirror Symmetry
• There are synonyms for line symmetry. They are…
Is a butterfly symmetrical?
Monorah Mosque
Frieze Pattern
Oh Canada
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.
This example bugs me!
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.
Line and Rotational
Line of symmetry = Line of symmetry =
Angle of rotation = Angle of rotation =
8450
5
720
How many folds?
Angle of Rotation =
6
600 1200
Just use the smallest angle of rotation.
1800
How many folds? 3
Angle of rotation ?
600
Point Symmetry• Point symmetry is rotational
symmetry that only works at 180 degrees.
Point Symmetry
Angle of rotation is only 1800
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
Rotation of 1800
Rotation of 1800
Rotation of 1800
No because the colors do not match up.
Examples of Symmetry
• Indicate if the symmetry is either
1. Line2. Bilateral3. Rotational4. Point5. Multiple Types
Bilateral
Parthanon, Athens
How many lines of symmetry?
2Transamerican Building
San Francisco
Angle of Rotation? 600
Lines of Symmetry ? 6
Guggenheim Museum, NYC
Bilateral
No !
Saudi Arabia
Bilateral
Reichstag, Berlin
Bilateral
Louvre, Paris Art Museum
I.M. Pei
BilateralOrient Express Railroad Station, Lisbon
Line Rotational
Line Rotational
Lotus Temple, New Delhi, India
Bilateral
Thorncrown Chapel, Arkansas
Fay Jones
Thorncrown Chapel, Arkansas
Rotational Line
Palindromes
OTTO
ATOYOTAdennis sinned
None because of the colors.
Point None
Floor Plan at Vatican
Point Line
NoneNone
Bilateral Dolphin and the Swan Hotel
Bilateral
Dolphin and the Swan Hotel
Plastic Surgery• All runway models have
93% symmetry in their faces. Let’s look.
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.
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.
Right / right Left / left The Original Photo
Who am I ?
Hallie Berry
Right / right Left / left The Original Photo
Right / right Left / left The Original Photo
Right / right Left / left The Original Photo
It really does appear that some faces are more symmetrical than others!
Arab or
Israeli?
Crouching Tiger Hidden Dragon
Who am I ?
Austria
Denmark
China
Indonesia
None
Bilateral
Iceland
UK
Bilateral
Point
Bilateral
France
Russia
Bilateral
Bilateral
• Norway
Switzerland
Bilateral
Norway
Rotational
Line
Have you caught on to the types of symmetry?
Oui, mon captain.
C’est fini.
Good day and good luck.