Could you help me with this one too? Let T be a equilateral triangle with each side having length 1. ImagineT in a fixed position in the plane, say with the bottom side on the x-axisand the opposite angle above it. Let S be the set of coloured trianglesobtainable from T by painting each side with one of the colours redand blue. Any combination of colours is allowed, for example all sidescould have the same colour. Note that S has 8 elemnents: for examplethe bottom side being red and all other sides being blue is a differentpainting than the leftmost side being red and all other sides being blue.Define a relation R on S by s1 R s2 if and only if s1 can be rotated sothat the rotated coloured triangle is identical to s2. Prove that R is anequivalence relation and find the equivalence classes. (The elements ofyour sets can be pictures of the coloured triangles.)

Name: Could you help me with this one too? Let T be a equilateral triangle w
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: Could you help me with this one too? Let T be a equilateral triangle with each side having length 1. ImagineT in a fixed position in the plane, say with the bottom side on the x-axisand the opposite angle above it. Let S be the set of coloured triang