Another extraordinary possibility regarding the tessellations is that of non-periodic tiles and tessellations.
A periodical tessellation is a set of tiles that pave the plan to infinity by reproducing by translations.
A non-periodic tessellation is a set of tiles that pave the plan to infinity, but without translations.
Its tiles can be either periodic or aperiodic.
Some periodic tiles can pave the plan non-periodically.
A set of aperiodic tiles can only paves the plan non-periodically.
All the drawings are copyright Alain Nicolas, all rights reserved. You must get my permission to reproduce any of my work.
"Non-periodic Infini (Infinity in French)"
"Tidy & Untidy Kittens"
Periodic & non-periodic tessellations
"Pentagram with lizards"
"Pentagonal rose with birds"
(Tribute to Sir Roger Penrose)
Aperiodic tiles Penrose P2
"Nosy & Tubby, the aperiodic pals"
(Tribute to Robert Ammann)
Aperiodic tiles Ammann A5
"Greeny & Rosy the aperiodic fishes"
Aperiodic tiles Penrose P3
"The family of aperiodic lizards"
Aperiodic divided tiles Ammann A5
"The Blues of Clown"
"The Ghosts of Decagone"