at Iaeas in Mathematics (CORE-UA-10) Spring 2018 (a) Describe a nontrivial rotat

Question

at Iaeas in Mathematics (CORE-UA-10) Spring 2018 (a) Describe a nontrivial rotational symmetry of this tiling or explain why no such (b) Describe a nontrivial translation symmetry of this tiling or explain why no such (c) Describe a nontrivial reflection symmetry of this tiling or explain why no such This problem refers to the pinwheel tiling on the next page. Outline all of the 125-unit symmetry exists. symmetry exists. symmetry exists. super-tiles in the image. There is only one correct answer.

Explanation / Answer

The above tiling figure shows rotational symmetry.

As in the above figure shape of the animal is turned.so it is called rotation symmetry.

A rotation of a shape occurs around 1 point.means we can turn the shape of the object to any number of degrees around a fixed ponit.point cannot be change.

So every rotation has a center and a rotional angle.Suppose a shape is rotated 90 degree means 1/4th of a turn then it referred to quarter turn.

Here shape of animal is turned 180 degree.so shape is exactly opposite of original shape.If the position of head is up and position of tail is downward then after rotation the shape changes ,position of tail becomes up and head comes to down.

so ans is (a).rotational symmetry.

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