A Tessellation is a repetition of one or more not-overlapping forms: polygons in two-dimensions (tiling), polyhedra in three-dimensions, or polytopes in three-dimensions.
The repetition of not-overlapping polygons in two-dimensional space creates a tiling. Only three regular tilings exist in the plane, based on:
  • triangles
  • squares
  • exagons

  • In three-dimensional space polyhedra capable of creating tessellations are called space-filling polyhedra. The Cube is the only polyhedron capable of space-filling, creating a regular tessellation or also called regular honeycomb.
    The space filling of Tetrahedra and Octahedra creates a semiregular quasiregular honeycomb.

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