186k views
4 votes
Does a regular pentagon tessellate? if yes, why and if no, why?

User Tmeisenh
by
6.2k points

1 Answer

3 votes

Answer:

No.

Explanation:

A regular pentagonal tiling on the Euclidean plane is impossible because the internal angle of a regular pentagon, 108°, is not a divisor of 360°.

User RedComet
by
5.8k points