From solid to plane tessellations, and back

DOI10.1007/s00004-018-0389-5zbMath1428.52023OpenAlexW2808652614WikidataQ129727400 ScholiaQ129727400MaRDI QIDQ2282378

Vera Viana

Publication date: 7 January 2020

Published in: Nexus Network Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00004-018-0389-5

zbMATH Keywords

regular polyhedratopological interlockingplane tessellationsquasiregular polyhedrasolid tessellations

Mathematics Subject Classification ID

Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Cites Work

• Uniform partitions of 3-space, their relatives and embedding
• The Bilinski dodecahedron and assorted parallelohedra, zonohedra, monohedra, isozonohedra, and otherhedra
• Tilings with congruent tiles
• Interlocking of convex polyhedra: towards a geometric theory of fragmented solids
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