On the space-filling heptahedra

Abstract

A space-filling polyhedron is one whose replications can be packed to fill three-space completely. The space-filling tetrahedra, pentahedra and hexahedra have been previously investigated. The search is here extended to the convex space-filling heptahedra.

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Goldberg, M. On the space-filling heptahedra. Geom Dedicata 7, 175–184 (1978). https://doi.org/10.1007/BF00181630

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Keywords

  • Equilateral Triangle
  • Triangular Prism
  • Hexagonal Prism
  • Reidel Publishing Company
  • Honeycomb Cell