22 citations · 22 across the 1 of their papers we have counts for
3 papers
Local Orientation-Preserving Symmetry Preserving Operations on Polyhedra
Pieter Goetschalckx, Kris Coolsaet, Nico Van Cleemput
Unifying approaches by amongst others Archimedes, Kepler, Goldberg, Caspar and Klug, Coxeter, and Conway, and extending on a previous formalisation of the concept of local symmetry…
Generation of Local Symmetry-Preserving Operations
Pieter Goetschalckx, Kris Coolsaet, Nico Van Cleemput
We introduce a new practical and more general definition of local symmetry-preserving operations on polyhedra. These can be applied to arbitrary plane graphs and result in plane gr…
Goldberg, Fuller, Caspar, Klug and Coxeter and a general approach to local symmetry-preserving operations
Gunnar Brinkmann, Pieter Goetschalckx, Stan Schein
Cubic polyhedra with icosahedral symmetry where all faces are pentagons or hexagons have been studied in chemistry and biology as well as mathematics. In chemistry one of these is…