Geometric realizations of abstract regular polyhedra with automorphism group H3¶
Aranas, J. A. L., & Loyola, M. L. (2020). Geometric realizations of abstract regular polyhedra with automorphism group H3. Acta Crystallographica Section A.
Cited by¶
1 citation across 1 artifact.
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Domain-specific¶
- Spherical polyhedron
- Luk, Nedela and Purcell state the round-sphere, great-arc and edge-to-edge convention for their spherical tilings; Aranas and Loyola describe spherical realizations using vertices, open great-arc edges and open spherical-polygon facets.
This sourceRelevant §2.3 abstract dodecahedral incidence; §3.2 after Theorem 3.1 hosohedron and collapsed straight-segment realization; §3.3.1 spherical vertices, open great-arc edges and open spherical-polygon facets. Its Figure 3(d) is a great-stellated, not ordinary, dodecahedral realization.
- Luk, Nedela and Purcell state the round-sphere, great-arc and edge-to-edge convention for their spherical tilings; Aranas and Loyola describe spherical realizations using vertices, open great-arc edges and open spherical-polygon facets.
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