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Q: How many one to one correspondences could be listed between vertices's of two regular triangles?
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What is the difference between regular and irregular triangles?

Regular polygons have all equal length sides and irregular polygons do not.


How many one to one correspondences could be listed between the vertices of two regular pentagons?

There are 5*4*3*2*1 = 120 possibilities.


Can a regular octagon tessellate without overlaps or gaps?

No, there would be triangles in between. Sorry!


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you can split a regular hexagon into 6 triangles


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How is many equilateral triangles are there in a regular hexagon?

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Only if it is a regular tetrahedron, regular octahedron, or regular icosahedron. All other geodesics have isosceles triangle faces, not equilateral triangles.


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The number of triangles that we can fit in a regular polygon with n sides is n - 2.


What kinds of regular polygns can be used for regular tessallations?

Squares and equilateral triangles will tessellate leaving no gaps or overlaps.


Why is a triangle a regular polygon?

This question is based on a misunderstanding of facts. A triangle can be but need not be a regular polygon. In fact most triangles are not regular: only equilateral triangles are.


How many triangles in a regular pentagon?

108