The construction and classification of self-dual spherical polyhedra
type: Item
instance of: scholarly article
title: The construction and classification of self-dual spherical polyhedra
zbMATH Open document ID: 0696.52006
DOI: 10.1016/0095-8956(92)90065-6
author: R. B. Richter
author: Dan S. Archdeacon
published in: Journal of Combinatorial Theory. Series B
publication date: 1990-01-01T00:00:00Z
review text: We consider spherical polyhedra, or equivalently 3-connected embedded planar graphs. A self-duality map sends vertices to faces and faces to vertices while preserving incidence. We give six constructions of polyhedra with self-duality maps and show that these constructions yield all such polyhedra. Included is the construction of polyhedra which admit only self-duality maps of large order.
Mathematics Subject Classification ID: 52Bxx
zbMATH DE Number: 4140700
zbMATH Keywords: spherical polyhedra
zbMATH Keywords: 3-connected embedded planar graphs
zbMATH Keywords: self-duality map
MaRDI profile type: Publication
full work available at URL: 0095-8956(92)90065-6
OpenAlex ID: W1975647321
cites work: Is Selfduality Involutory?
cites work: Q3757929
cites work: A non-involutory selfduality
cites work: Q3136998
cites work: Q4063182
cites work: Q3216652
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description: scientific article; zbMATH DE number 4140700