answersLogoWhite

0


Best Answer

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.

User Avatar

ProfBot

3mo ago

Still curious? Ask our experts.

Chat with our AI personalities

LaoLao
The path is yours to walk; I am only here to hold up a mirror.
Chat with Lao
EzraEzra
Faith is not about having all the answers, but learning to ask the right questions.
Chat with Ezra
TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
More answers
User Avatar

Wiki User

14y ago

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.

User Avatar

Add your answer:

Earn +20 pts
Q: Will a regular 16-gon tessellate a plane?
Write your answer...
Submit
Still have questions?
magnify glass
imp