Ménage à Trois Digital Print 2012

This artwork depicts three intersecting paths that writhe, undulate, and intertwine around each other. Each path has two-fold rotational symmetry, with the paths having six-fold rotational symmetry. The overall patterns have nearly, but not exactly, two-fold and six-fold rotational symmetry due to the lack of symmetry in the over/under path crossings, providing additional movement in the piece. The paths are constructed in a piecewise fashion using hexagonal tiles decorated with arcs, and placed on a hexagonal grid.

Exhibition History

• Exhibition of Mathematical Art, Joint Mathematics Meetings, San Diego, California. 9–12 January 2013.

Publication History

• 2013 Joint Mathematical Meetings Exhibition of Mathematical Art, p. 66, Edited by Robert Fathauer and Nathan Selikoff, ISBN: 978-1-938664-03-8, Tessellations Publishing, 2013.