THE CONSTRUCTION AND CLASSIFICATION OF SELF-DUAL SPHERICAL POLYHEDRA

被引：25

作者：

ARCHDEACON, D ^{[1
]}

RICHTER, RB ^{[1
]}

机构：

[1] CARLETON UNIV,DEPT MATH & STAT,OTTAWA K1S 5B6,ONTARIO,CANADA

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES B | 1992年 / 54卷 / 01期

关键词：

D O I：

10.1016/0095-8956(92)90065-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper 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. © 1992.

引用

页码：37 / 63

页数：27

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