The level-1 cluster made of 8 'Spectre' tiles including a 'Mystic' (red and dark grey lines)with display of all the key-points making quadrilaterals (7 blue small and a magenta big one) [Le 'cluster' de niveau-1 constitué de 8 pavés 'Spectre's incluant un 'Mystique' (rouge et traits gris foncés) avec visualisation des points-clefs regroupés en quadrilatères (7 petits bleus et un grand magenta) ]

The level-1 cluster made of 8 'Spectre' tiles including a 'Mystic' (red and dark grey lines) with display of all the key-points making quadrilaterals (7 blue small and a magenta big one) [Le 'cluster' de niveau-1 constitué de 8 pavés 'Spectre's incluant un 'Mystique' (rouge et traits gris foncés) avec visualisation des points-clefs regroupés en quadrilatères (7 petits bleus et un grand magenta)].




The discovery of the "EinStein" tiling of the plane by means of the "Spectre" monotile is due to David Smith, Joseph Samuel Myers, Craig Kaplan and Chaim Goodmann-Strauss (05/2023).


See some related pictures (including this one):

The hexagonal underlying network used to define the 'EinStein' aperiodic 'Spectre' tiling The genesis of the 'EinStein' aperiodic 'Spectre' tile -top right- The 'EinStein' aperiodic 'Spectre' tile

The 'Mystic' made of two 'EinStein' aperiodic 'Spectre' tiles  
The level-1 cluster made of 8 'Spectre' tiles with display of all the key-points making quadrilaterals (7 red small and a green big one) The level-1 cluster made of 9 'Spectre' tiles with display of all the key-points making quadrilaterals (8 red small and a green big one)  
The level-1 cluster made of 8 'Spectre' tiles including a 'Mystic' (dark grey lines)with display of all the key-points making quadrilaterals (7 red small and a green big one) The level-1 cluster made of 9 'Spectre' tiles including a 'Mystic' (dark grey lines)with display of all the key-points making quadrilaterals (8 red small and a green big one)  
The level-1 cluster made of 8 'Spectre' tiles including a 'Mystic' (red)with display of all the key-points making quadrilaterals (7 blue small and a magenta big one) The level-1 cluster made of 9 'Spectre' tiles including a 'Mystic' (red)with display of all the key-points making quadrilaterals (8 blue small and a magenta big one)  
The level-1 cluster made of 8 'Spectre' tiles including a 'Mystic' (red and dark grey lines)with display of all the key-points making quadrilaterals (7 blue small and a magenta big one) The level-1 cluster made of 9 'Spectre' tiles including a 'Mystic' (red and dark grey lines)with display of all the key-points making quadrilaterals (8 blue small and a magenta big one)  
The level 2 cluster made of 7 'Spectre' level 1 clusters with display of all the key-points making quadrilaterals (7 small and a big one) The level 2 cluster made of 8 'Spectre' level 1 clusters with display of all the key-points making quadrilaterals (8 small and a big one)  
The level 3 cluster made of 7 'Spectre' level 2 clusters with display of all the key-points making quadrilaterals (7 small and a big one) The level 3 cluster made of 8 'Spectre' level 2 clusters with display of all the key-points making quadrilaterals (8 small and a big one)  
The Mystic Island based on the level 3 cluster made of 7 'Spectre' level 2 clusters The Mystic Island based on the level 3 cluster made of 8 'Spectre' level 2 clusters

A close-up of the 'EinStein' aperiodic 'Spectre' tiling A close-up of the 'EinStein' aperiodic 'Spectre' tiling A close-up of the 'EinStein' aperiodic 'Spectre' tiling
Empty Empty Tridimensional display of the 'EinStein' aperiodic 'Spectre' tiling
Empty Empty Untitled 0618
Empty Empty Untitled 0619
Empty Empty A 'crumpled' close-up of the 'EinStein' aperiodic 'Spectre' tiling


See the used random color set.


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