Bulletin of the American Mathematical Society

Tiling space by congruent polyhedra

S. K. Stein

Full-text: Open access

Article information

Source
Bull. Amer. Math. Soc., Volume 80, Number 5 (1974), 819-820.

Dates
First available in Project Euclid: 4 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.bams/1183535809

Mathematical Reviews number (MathSciNet)
MR0358528

Zentralblatt MATH identifier
0295.50014

Subjects
Primary: 20H15: Other geometric groups, including crystallographic groups [See also 51-XX, especially 51F15, and 82D25] 50B30 52A30: Variants of convex sets (star-shaped, (m, n)-convex, etc.) 52A45

Citation

Stein, S. K. Tiling space by congruent polyhedra. Bull. Amer. Math. Soc. 80 (1974), no. 5, 819--820. https://projecteuclid.org/euclid.bams/1183535809


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References

  • 1. D. Hilbert, Mathematical problems, Lecture delivered before the International Congress of Mathematicians at Paris in 1900, Bull. Amer. Math. Soc. 8 (1901-1902), 437-479.
  • 2. K. Reinhardt, Zur Zerlegung der Enklidschen Räurne in Kongruente Polytope, Sitzberichte Preuss. Akad. Wiss. 1928, 150-155.
  • 3. S. K. Stein, A symmetric star body that tiles but not as a lattice, Proc. Amer. Math. Soc. 16 (1972), 543-548.