Geometriae Dedicata

, Volume 7, Issue 2, pp 175–184 | Cite as

On the space-filling heptahedra

  • Michael Goldberg


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.


Equilateral Triangle Triangular Prism Hexagonal Prism Reidel Publishing Company Honeycomb Cell 
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Copyright information

© D. Reidel Publishing Company 1978

Authors and Affiliations

  • Michael Goldberg
    • 1
  1. 1.Washington, D.C.USA

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