A Piece of the Pi: mathematics explained

A Piece of the Pi: mathematics explained

Share this post

A Piece of the Pi: mathematics explained
A Piece of the Pi: mathematics explained
Tiling the plane with congruent polygons

Tiling the plane with congruent polygons

Richard Green's avatar
Richard Green
Jun 29, 2025
∙ Paid
3

Share this post

A Piece of the Pi: mathematics explained
A Piece of the Pi: mathematics explained
Tiling the plane with congruent polygons
1
Share

It is impossible to tile the plane with regular pentagons of the same size, because the internal angle of a pentagon is 108°, and 360 is not a multiple of 108. However, it is possible to tile the pla…

This post is for paid subscribers

Already a paid subscriber? Sign in
© 2025 A Piece of the Pi
Privacy ∙ Terms ∙ Collection notice
Start writingGet the app
Substack is the home for great culture

Share