Angle Combinations in Tilings of the Sphere by Angle Congruent Pentagons

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dc.contributor.authorLuk, Hoi Ping
dc.contributor.authorYan, Min
dc.date.accessioned2025-06-20T08:41:32Z
dc.date.available2025-06-20T08:41:32Z
dc.date.issued2025
dc.date.updated2025-06-20T08:41:32Z
dc.description.abstractWe develop a systematic method for deriving the angle combinations at all vertices in an edge-to-edge tiling of the sphere by pentagons with the same five angles. The method provides an effective and necessary tool in solving many tiling problems about pentagonal tilings of the sphere. More significantly, we determine all the angle combinations that allow free and continuous choices of two angle values.en
dc.format37
dc.identifier.document-number001410368300001
dc.identifier.doi10.1007/s00373-024-02879-1
dc.identifier.issn0911-0119
dc.identifier.obd43946254
dc.identifier.orcidLuk, Hoi Ping 0000-0001-9369-5400
dc.identifier.urihttp://hdl.handle.net/11025/60730
dc.language.isoen
dc.relation.ispartofseriesGraphs and Combinatorics
dc.rights.accessA
dc.subjectspherical tilingen
dc.subjectpentagonen
dc.subjectangle congruenceen
dc.subjectangle combinationen
dc.titleAngle Combinations in Tilings of the Sphere by Angle Congruent Pentagonsen
dc.typeČlánek v databázi WoS (Jimp)
dc.typeČLÁNEK
dc.type.statusPublished Version
local.files.count1*
local.files.size893878*
local.has.filesyes*
local.identifier.eid2-s2.0-85217526787

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