"Counterchange #1"

Digital print, 10" x 15", 2009.

Two-colour-counterchange pattern class p6m/p6

"Counterchange #2"

Digital print, 10" x 15", 2009.




Two-colour-counterchange pattern class p6m/p31m

"Counterchange icosahedron #1"

Laser-etched wood composite, 6.5" x 5.5" x 6", 2009.

When two-colour-counterchange patterns are applied to the icosahedron, only class p6m/p6 will repeat across the faces of the solid in the same manner as the original plane pattern. The reflection and rotational symmetries of the icosahedron are maintained by the higher order of symmetry within the plane pattern. Centres of six-fold rotation in the pattern become axes of five-fold rotation at each vertex and all other rotational symmetries are preserved. Within counterchange pattern class p6m/p6 colour is preserved by the rotation axes but reversed across the reflection axes.

"Counterchange icosahedron #2"

Laser-etched and painted acrylic, 6.5" x 5.5" x 6", 2009.




Only pattern class p6m/p6 will repeat across the faces of the icosahedron in the same manner as the original plane pattern. Colour is preserved by the rotation axes but reversed across the reflection axes.

Briony Thomas, Lecturer in Design Theory
School of Design, University of Leeds, UK

"After studying the geometry of regular repeating patterns as a student of textile design, I became interested in the possibilities of patterns repeating in three-dimensions, around the faces of mathematical solids. This work explores the concept of colour symmetry in both two- and three-dimensions. "