hat
turtle
Einstein
tiling
monotile
aperiodic monotile

3
1
The aperiodic monotile / "einstein" / "hat" from David Smith, Joseph Samuel Myers, Craig S. Kaplan, Chaim Goodman-Strauss (see: https://arxiv.org/abs/2303.10798), but in a variety of formats. With the included OpenSCAD file you can build it with or without a lip. (By the photos, you can see I obviously prefer it "with".)
The kites can be combined to double-kites, which can be assembled into hats. While proving the aperiodicity of the hat, the turtle and a variety of similarly aperiodic shapes were discovered.
My congrats to Smith, et al. I'm not a tiling enthusiast, nor a mathematician, but I think it's a thing of beauty.
Originality of the Model
The author declares that this work is their personally shared model
This model is licensed under the following terms:
Credit must be given to the creator
Models(28)
hat_from_single_kites-inverse.stl10.82 KB
2025-06-30
hat_from_points-regular.stl4.96 KB
2025-06-30
double_kite.stl1.84 KB
2025-06-30
hat_from_double_kites-regular.stl6.92 KB
2025-06-30
hat_from_double_kites-inverse.stl6.92 KB
2025-06-30
hat_from_points-inverse.stl4.96 KB
2025-06-30
hat_from_points_no_lip-inverse.stl2.43 KB
2025-06-30
hat_from_points_no_lip-regular.stl2.43 KB
2025-06-30
hat_from_single_kites-regular.stl10.82 KB
2025-06-30
Aperiodic_Monotile_Builder.scad7.48 KB
2025-06-30
hexagon.stl2.43 KB
2025-06-30
turtle_from_points_no_lip-inverse.stl2.43 KB
2025-06-30
turtle_from_points_no_lip-regular.stl2.43 KB
2025-06-30
tracer_7.stl2.43 KB
2025-06-30
quadruple_hat_from_hats-regular.stl20.59 KB
2025-06-30
turtle_from_double_kites-regular.stl8.48 KB
2025-06-30
turtle_from_points-inverse.stl4.96 KB
2025-06-30
turtle_from_single_kites-inverse.stl13.36 KB
2025-06-30
hat_special_inset-inverse.stl6.14 KB
2025-06-30
quadruple_hat_from_hats-inverse.stl20.59 KB
2025-06-30
tracer_6.stl2.43 KB
2025-06-30
hat_special_inset-regular.stl6.14 KB
2025-06-30
turtle_from_double_kites-inverse.stl8.48 KB
2025-06-30
turtle_from_points-regular.stl4.96 KB
2025-06-30
kite.stl1.45 KB
2025-06-30
turtle_special_inset-inverse.stl8.48 KB
2025-06-30
turtle_from_single_kites-regular.stl13.36 KB
2025-06-30
turtle_special_inset-regular.stl8.48 KB
2025-06-30
View all(28)






