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Radial Symmetry
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Is there a way to study math and art at the same time?
Jasper Johns“Numbers in Color”
1958-1959
![Page 3: Radial Symmetry. Is there a way to study math and art at the same time? Jasper Johns Numbers in Color 1958-1959](https://reader036.vdocuments.net/reader036/viewer/2022062618/5514ef3c550346b0338b5ed7/html5/thumbnails/3.jpg)
How does this piece incorporate math and art?
![Page 4: Radial Symmetry. Is there a way to study math and art at the same time? Jasper Johns Numbers in Color 1958-1959](https://reader036.vdocuments.net/reader036/viewer/2022062618/5514ef3c550346b0338b5ed7/html5/thumbnails/4.jpg)
• He used a pattern.• Jasper Johns painted numbers.
![Page 5: Radial Symmetry. Is there a way to study math and art at the same time? Jasper Johns Numbers in Color 1958-1959](https://reader036.vdocuments.net/reader036/viewer/2022062618/5514ef3c550346b0338b5ed7/html5/thumbnails/5.jpg)
There are other ways of using math and art together…
• Let’s talk about Symmetry!
• What is Symmetry?
![Page 6: Radial Symmetry. Is there a way to study math and art at the same time? Jasper Johns Numbers in Color 1958-1959](https://reader036.vdocuments.net/reader036/viewer/2022062618/5514ef3c550346b0338b5ed7/html5/thumbnails/6.jpg)
Symmetrical:
• When two halves of an object are mirror images of each other.
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This flower is symmetrical.
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It can be divided in half, and both sides are the same.
• The red line is the line of symmetry.
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Lots of shapes are symmetrical…
Hexagon Isosceles Triangle
TrapezoidCircle
Rectangle
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Can you identify the line of symmetry in the following images?
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![Page 12: Radial Symmetry. Is there a way to study math and art at the same time? Jasper Johns Numbers in Color 1958-1959](https://reader036.vdocuments.net/reader036/viewer/2022062618/5514ef3c550346b0338b5ed7/html5/thumbnails/12.jpg)
Some objects have more than one line of symmetry…
These flowers have rotational symmetry, too! This means, that you can rotate them, and they will still look the same.
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Radial Symmetry
With rotational (or radial) symmetry, instead of an object being symmetrical over a line, it is symmetrical around a point.
You can turn the object and it looks the same.
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This star has radial symmetry.
• You can turn it, and it still looks the same!
![Page 15: Radial Symmetry. Is there a way to study math and art at the same time? Jasper Johns Numbers in Color 1958-1959](https://reader036.vdocuments.net/reader036/viewer/2022062618/5514ef3c550346b0338b5ed7/html5/thumbnails/15.jpg)
This piece of artwork has radial symmetry.
• You can turn it, and it still looks the same!
![Page 16: Radial Symmetry. Is there a way to study math and art at the same time? Jasper Johns Numbers in Color 1958-1959](https://reader036.vdocuments.net/reader036/viewer/2022062618/5514ef3c550346b0338b5ed7/html5/thumbnails/16.jpg)
What else has radial symmetry?
![Page 17: Radial Symmetry. Is there a way to study math and art at the same time? Jasper Johns Numbers in Color 1958-1959](https://reader036.vdocuments.net/reader036/viewer/2022062618/5514ef3c550346b0338b5ed7/html5/thumbnails/17.jpg)
• Pizza
![Page 18: Radial Symmetry. Is there a way to study math and art at the same time? Jasper Johns Numbers in Color 1958-1959](https://reader036.vdocuments.net/reader036/viewer/2022062618/5514ef3c550346b0338b5ed7/html5/thumbnails/18.jpg)
• A stop sign shape (octagon)
![Page 19: Radial Symmetry. Is there a way to study math and art at the same time? Jasper Johns Numbers in Color 1958-1959](https://reader036.vdocuments.net/reader036/viewer/2022062618/5514ef3c550346b0338b5ed7/html5/thumbnails/19.jpg)
• A Wheel
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Today, we are going to make our own designs using radial symmetry!
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Let’s get started!