# Frameworks with forced symmetry II: Orientation-preserving crystallographic groups

## Justin Malestein, Louis Theran – 2013

- Focus Area 1: High-complexity Geometry - We give a combinatorial characterization of minimally rigid planar frameworks with orientation-preserving crystallographic symmetry, under the constraint of forced symmetry. The main theorems are proved by extending the methods of the first paper in this sequence from groups generated by a single rotation to groups generated by translations and rotations. The proofs make use of a new family of matroids defined on crystallographic groups and associated submodular functions.

Title

Frameworks with forced symmetry II: Orientation-preserving crystallographic groups

Author

Justin Malestein, Louis Theran

Date

2013-04

Source(s)

Appeared in

Geometriae Dedicata, to appear.

Type

Text