PLANE PROJECTIONS OF REGULAR POLYTOPES WITH FIVEFOLD SYMMETRIES

1992 ◽  
pp. 87-96
Author(s):  
G. C. Shephard
Keyword(s):  
Regular Polytopes

scholarly journals Spectra of semi-regular polytopes

1998 ◽  
Vol 29 (1) ◽  
pp. 25-51
Author(s):  
Nicolau C. Saldanha ◽  
Carlos Tomei
Keyword(s):  
Regular Polytopes

scholarly journals Radii of Regular Polytopes

2004 ◽  
Vol 33 (1) ◽  
pp. 43-55 ◽  
Author(s):  
Ren� Brandenberg
Keyword(s):  
Regular Polytopes

Realizations of regular polytopes, III

2011 ◽  
Vol 82 (1-2) ◽  
pp. 35-63 ◽  
Author(s):  
Peter McMullen
Keyword(s):  
Regular Polytopes

Realizations of regular polytopes, IV

2013 ◽  
Vol 87 (1-2) ◽  
pp. 1-30 ◽  
Author(s):  
Peter McMullen
Keyword(s):  
Regular Polytopes

scholarly journals Minimal Covers of the Archimedean Tilings, Part 1

10.37236/2512 ◽  
2012 ◽  
Vol 19 (3) ◽  
Author(s):  
Daniel Pellicer ◽  
Gordon Williams
Keyword(s):  
Automorphism Group ◽  
Regular Polytopes

We discuss representations of non-finite polyhedra as quotients of regular polytopes. We provide some structural results about the minimal regular covers of non-finite polyhedra and about the stabilizer subgroups of their flags under the flag action of the automorphism group of the covering polytope. As motivating examples we discuss the minimal regular covers of the Archimedean tilings, and we construct explicit minimal regular covers for three of them.

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