CS 39R: Symmetry & Topology: Wall-paper
Symmetries
Find matching
pairs with the same symmetries (rows 1, 2,
3; columns A, B, C, D, E).
For each pattern, make a list of all
symmetries found in the linear friezes and in the hubcaps.
Compare those lists. Mark the corresponding rotation
centers, mirror and glide lines in each
of the above patterns. That set of symmetry elements
defines the overall symmetry class.
A wonderful, "must-have"
resource (from which the above pictures originated):
"The Symmetries
of Things" by John H. Conway, Heidi Burgiel and Chaim
Goodman-Strauss (A.K.Peters, Wellesley, MA, 2008)
Page Editor: Carlo H. Séquin