Bridges 2026 Exhibition of Mathematical Art, Craft, and Design
Nicholas Jordan Beitzell
Artists
Nicholas Jordan Beitzell
GTA for Department of Mathematics and Applied Mathematics
Virginia Commonwealth University
Richmond, Virginia, USA
Statement
The fruits of my labor, a 3-dimensional rendering through printmaking techniques of my study on the 6-dimensional hypercube. This piece is constructed to be readily reproducible with 18 main components to be printed on cardstock that is scored, cut, folded, and ultimately taped together. This work is a natural continuation of Dr. Richard Hammack’s work on hypercube embeddings, which has inspired my present endeavors.
Artworks
The work is a surface of genus 17 in which a 6-cube graph is embedded. This construction is accomplished by using select faces to form an orientable surface of genus 17, in which the cube’s two-skeleton is minimally embedded through to 3-space via local perspective. This general scheme was invented by Dr. Richard Hammack and Paul C Kainen. Its utilization here grants a model of the 6-cube showing all vertices and edges, plus half the faces, where each fits edge-to-edge to form a closed surface with no self-intersections.