Bridges 2011 Workshop Paper
Pieces of Pi? Polyhedra, Orthoschemes and Dihedral Kaleidoscopes
(Proceedings pages 625–628)
Studying polyhedral forms is essential for mathematicians, architects,
scientists, biologists, even artists, and for children it can be a
lot of creative fun. This workshop will show that dihedral kaleidoscopes
are useful tools for teaching mathematical concepts to a range of
age groups. Workshop participants will experience creating a paper
orthoscheme (also called: simplex, plug, quantum of shape, symmetry
unit) and discover that polyhedra can be understood as products of
kaleidoscopic reflections and rotations of such a simplex, see
Coxeter . The workshop will conclude with the collective creation
of a paper polyhedra out of individualized, i.e. decorated simplexes.
This transient sculpture will serve as visceral proof of the
polyhedral consequences of symmetry operations.