Dos Equis
2019

Width 12", Length 5", Height 10"

Tinted Mi-Teintes Paper

 

Dos Equis belongs to a new class of infinite bi-foldable polyhedral complexes that are the result of a collaboration between Jiangmei Wu and mathematician Matthias Weber. Currently, our initial result has been published at: https://arxiv.org/abs/1809.01698. These polyhedral complexes can be flat-folded or collapsed into two perpendicular planes.

 

There are three vertex types in Dos Equis: two of valency 4 and one of valency 8. Dos Equis is named after the vertex of valency 8 as it resembles the image of an X. Using a four-color complementary scheme, each color represents a distinctive zone using the concept of zonohedron proposed by H.S.M. Coxeter. Each zone, using two unique unit patterns, is then folded and interwoven with other zones. Notice that the four colored zones, with their two-unit patterns, and their under or over weaving alternations, create a total of sixteen design variations for the quadrilateral faces.

To construct a triply periodic Dos Equis pattern (in Spanish, Dos means ‘two’ and Equis means ‘x’), start with a vertex type of valency 8 that resembles the image of an X. This vertex is then translated and mirrored in two directions, and then in a third direction, to create an infinite triply periodic polyhedral complex.

Weber’s blog on Dos Equis