Non-Polycube Rep-8 Tiles

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Non-polycube 3D rep-8 tiles with connected interior. All shapes except tetrahedrons are found using IFStile.

Tetrahedron 1

R8 tetrahedron1.png

Tetrahedron 2

R8 tetrahedron2.png

Tetrahedron 3

R8 tetrahedron3.png

Pyramid

R8 pyramid.png

Snake

R8 snake.png

Half-Snake

R8 halfsnake.png

Wedge

R8 wedge.png

Chair

R8 chair.png

Notched Prism

R8 notched prism.png

Notched Shape

R8 notched shape.png


References

  • Computer geometry: Rep-tiles with a hole (by Christoph Bandt and Dmitry Mekhontsev) [1]
  • Hill tetrahedron [2]
  • Anwei Liu and Barry Joe, On the shape of tetrahedra from bisection, Mathematics of Computation 63 No. 207 (2013) 141-154.