Bridges 2012 Short Paper
Portraits of Groups in Three Dimensions
(Proceedings pages 413–414)
This paper looks at the sculptures that result from representing a
group G of order 8 as a group of three dimensional transformations.
The action is realized as a quotient of a full quadrilateral group
and so all cells have four edges. We use tetrahedra to represent
the regions and each cell is adjacent to four others. The model of
this 3-manifold in space must have a boundary. These sculptures are
dynamic in the sense that each cell on this boundary may be moved
to another part of the boundary to give a different sculpture.