Can somebody please explain why not all regular polygons will tessellate.

Just a FYI if you give your answer may I please use them for an open ended question? I need you full permission if you don't feel okay with that then let me know and I won't use it.

WILL MEDAL AND FAN

Question

Can somebody please explain why not all regular polygons will tessellate.

Just a FYI if you give your answer may I please use them for an open ended question? I need you full permission if you don't feel okay with that then let me know and I won't use it.

WILL MEDAL AND FAN

anonymous · Answer

This should help https://answers.yahoo.com/question/index?qid=20100312125834AA88Vs8

jdoe0001 · Answer

what 's "tessellate" anyway?

ybarrap · Answer

Also, there is this, describing they types of regular polys that satisfy constraints - http://en.wikipedia.org/wiki/Tiling_by_regular_polygons#Combinations_of_regular_polygons_that_can_meet_at_a_vertex

anonymous · Answer

Hey @amelia_13

You can use my answer I really don't care.  A regular polygon will tessellated (The Plane) if and only IF the measure of an interior angle evenly divided 360 or equivalently ((n-2)). /2n and if (N-2)/2n then N-2 must also divide 2n-2*(N-2) which equals 4. Therefore n=3,4, or 6. we see that only an equilateral triangle n=3 a square n=4 or a regular hexagon n=6 will tessellate. All other regular polygons will not.