Title
Determination of all tessellation polyhedra with regular polygonal faces
Abstract
A polyhedron (3-dimensional polytope) is defined as a tessellation polyhedron if it possesses a net of which congruent copies can be used to tile the plane. In this paper we determine all convex polyhedra with regular polygonal faces which are tessellation polyhedra.
Year
DOI
Venue
2010
10.1007/978-3-642-24983-9_1
Lecture Notes in Computer Science
Keywords
Field
DocType
3-dimensional polytope,tessellation polyhedron,regular polygonal face,congruent copy,convex polyhedron
Discrete mathematics,Semiregular polyhedron,Combinatorics,Net (polyhedron),Dual polyhedron,Regular polyhedron,Polyhedron,Tetradecahedron,Spherical polyhedron,Mathematics,Isotoxal figure
Conference
Volume
ISSN
Citations 
7033
0302-9743
3
PageRank 
References 
Authors
0.61
1
6
Name
Order
Citations
PageRank
Jin Akiyama131.29
Takayasu Kuwata241.47
Stefan Langerman3831101.66
Kenji Okawa430.61
Ikuro Sato5256.46
Geoffrey C. Shephard661.64