Anisohedral spherical triangles and classification of spherical tilings by congruent kites, darts and rhombi

DOI10.32917/hmj/1448323768zbMath1331.52028OpenAlexW2179629055WikidataQ114037408 ScholiaQ114037408MaRDI QIDQ906593

Yohji Akama, Yudai Sakano

Publication date: 22 January 2016

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.hmj/1448323768

zbMATH Keywords

anisohedral tileArchimedean dualcontinuous deformationglideisohedral tilingspherical monohedral deltoidal tilingspherical monohedral rhombus-faced tiling

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (4)

TILINGS OF THE SPHERE BY CONGRUENT QUADRILATERALS II: EDGE COMBINATION WITH RATIONAL ANGLES ⋮ Recognition of affine-equivalent polyhedra by their natural developments ⋮ Classification of spherical tilings by congruent quadrangles over pseudo-double wheels. I: A special tiling by congruent concave quadrangles ⋮ Bézier tilings of the sphere and their applications in benchmarking multipatch isogeometric methods

This page was built for publication: Anisohedral spherical triangles and classification of spherical tilings by congruent kites, darts and rhombi