# Über Zerlegungsgleichheit von Pflasterpolyedern mit Würfeln

@article{Debrunner1980berZV,
title={{\"U}ber Zerlegungsgleichheit von Pflasterpolyedern mit W{\"u}rfeln},
author={Hans E. Debrunner},
journal={Archiv der Mathematik},
year={1980},
volume={35},
pages={583-587}
}
• H. Debrunner
• Published 1 December 1980
• Mathematics
• Archiv der Mathematik
10 Citations
PRESS RELEASE: TETRAHEDRA WITH RATIONAL DIHEDRAL ANGLES
• Mathematics
• 2020
(1) Given a tetrahedron, does it tile space? That is, can one fill space with copies of the tetrahedron? Aristotle claimed that one could tile space with copies of a regular tetrahedron, but 1800
Space vectors forming rational angles.
• Mathematics
• 2020
We classify all sets of nonzero vectors in $\mathbb{R}^3$ such that the angle formed by each pair is a rational multiple of $\pi$. The special case of four-element subsets lets us classify all
On the nonexistence of k-reptile simplices in R 3 and R 4 ∗
• Biology, Mathematics
• 2017
A weaker analogue of the proof by Matoušek and the second author that for d = 3, k-reptile tetrahedra can exist only for k = m3 is substantially simplified and proved.
On the Nonexistence of $k$-Reptile Simplices in $\mathbb R^3$ and $\mathbb R^4$
• Mathematics
Electron. J. Comb.
• 2017
A weaker analogue of this result for $d=4$ is proved by showing that four-dimensional $k$-reptile simplices can exist only for $k=m^2$.
Delian Metamorphoses
Nach einem Orakelspruch sollte die Pest in Griechenland dann zu Ende gehen, wenn der würfelförmige Altar im Apollonheiligtum auf Delos verdoppelt werde. Nach traditioneller Interpretation verlangt
Equidecomposability of polyhedra with reference to crystallographic groups
The equivalence of volume equality and equidecomposability of any two of this polyhedra is shown for special discrete groups.
Valuations on convex bodies
• Mathematics
• 1983
The investigation of functions on convex bodies which are valuations, or additive in Hadwiger’s sense, has always been of interest in particular parts of geometric convexity, and it has seen some

## References

SHOWING 1-4 OF 4 REFERENCES
Vorlesungen über Inhalt, Oberfläche und Isoperimetrie
Das vorliegende Buch vereinigt in seinen wesentlichen Teilen den Stoff verschiedener Vorlesungen liber Inhaltstheorie, isoperimetrische Probleme und liber konvexe Karper und allgemeine