Pentagon Spiral Tiling

A beautiful little shape related to Penrose rhombs that tiles the plane aperiodically. Can you find a pattern that will fill the plane with no gaps and overlaps? All three tools make the same pentagon, but starting with two different points.
View Activity View Activity

 

John Golden —

 
Resource Type
Activity
Tags
exploration  pentagon  polygons  polygrin  spiral  tessellation 
Target Group (Age)
11 – 14
Language
English
 
 

Books

 
© 2025 International GeoGebra Institute