Will a regular 16-gon tessellate a plane?

Answer 1

A regular 16-gon, also known as a hexadecagon, will not tessellate a plane. In order for a polygon to tessellate a plane, the interior angles of the polygon must divide evenly into 360 degrees. The interior angle of a regular hexadecagon is 157.5 degrees, which does not evenly divide into 360 degrees. Therefore, a regular 16-gon will not tessellate a plane.

Answer 2

Since 180(x-2) equals how many degrees it has,

180(16-2)=

180(14)=

180 x 14=

360 x 7

therefore it is dividible by 360

therefore it can tesselate.

Improved Answer:

No because each interior angle is 157.5 degrees which is not a factor of 360.