Modulo Krinkle Monotile
door Scoby
Printbare bestanden (4)
-
stlImura_Monotile_Box_v1.1.stl
41 Ko · 11 downloads
-
stlImura_Monotile_Lid.stl
21 Ko · 12 downloads
-
stlImura_Monotile_x40.stl
102 Ko · 19 downloads
-
stlImura_Monotile.stl
3 Ko · 14 downloads
Beschrijving
In May 2025, Miki Imura announced the discovery of a new monotile pattern, the Modulo Krinkle Monotile. This single shape can completely cover a surface without gaps, or overlaps. Original publication can be found here: https://arxiv.org/pdf/2506.07638
The Modulo Krinkle Monotile is composed of two angles: 3π/7 and 4π/7 radians (and their explementary partners). The sides are length L and the ends are length 2L.
This monotile is not aperiodic because a 180° rotation around the center of the tiling will perfectly match the original. Colors don't count with regard to matching, only shape matters. Three colors are sufficient to tile a 2D surface without any two adjacent tiles having the same color.
The Modulo Krinkle Monotile box holds approximately 120 monotiles. The lid is secured to the box via six 8 x 1mm magnets.