Unbinilium (artwork)
Unbinilium Bamboo Veneer, 24 in 2018

This piece is based on a split pair reciprocal construction based on the icosidodecaheron using 120 equal length (20 cm) strips of paper-backed bamboo veneer. Each vertex in the underlying polyhedron was opened in a reciprocal manner, where edge endpoints are connected to adjacent edges away from those endpoints. Each edge was then split, doubling the number of edges from 60 to 120. The number connection points was also doubled. Edges were then replaced with veneer strips. The resulting form has chiral icosahedral (532) symmetry. An orientation along an axis of five-fold rotational symmetry is shown.

Unbinilium rotating (video clip).

Background and Inspiration

This builds on work I began in 2017 exploring connections between Expanded Polyhedral Forms and reciprocal structures. This built using what I call a split pair reciprocal construction.

Related Works

Exhibition History

Publication History

  • Bridges 2020 Art Exhibition Catalog, p. ?, Edited by Conan Chadbourne, Robert Fathauer, and Nathan Selikoff, and Bruce Torrence, ISBN: 978-1-938664-35-9, Tessellations Publishing, 2020.


  • Reciprocal Polyhedral Forms using Strip Pairs, David Reimann, p. 431–434, Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture, ISBN: 978-1-938664-36-6, Tessellations Publishing, 2020. Paper (pdf).