Have you heard of an omnitruncated dodecaplex?

On January 25, Prof. Benoit Charbonneau is working with students to build a 4D object. This mathematical artefact, called an omnitruncated dodecaplex, will be built using Zometool pieces.

Once completed, the project will hang permanently in the atrium of the Mathematics 3 building.

Want to help us build? Sign up to volunteer!

14,400 vertices
28,800 edges
17,040 polygonal faces(10.800 squares, 4,800 hexagons, 1,440 decagons)
2,640 cells(120 great rhombicosidodecahedra, 720 decagonal prisms, 1200 hexagonal prisms, and 600 truncated octahedra)
21,360Zometool parts (7,200 balls and 14,160 struts)
35 kgtotal weight

What is a Omnitruncated Dodecaplex?

A polytope is a finite convex region of space enclosed by a finite number of hyperplanes. In two dimensions, we refer to this as a polygon. In three dimensions, a polyhedron.

The dodecaplex (aka 120-cells) is a convex regular four-dimensional polytopes built from 120 dodecahedral cells. It has 720 pentagonal faces, 1,200 edges and 600 vertices. The omnitruncated dodecaplex that is being built is an orthogonal projection of a four-dimensional polytope constructed by truncating all vertices, edges, and faces of the dodecaplex.

Model of the dodecaplex

This “barn raising” of the omnitruncated dodecaplex is an opportunity for students to learn in a hands-on manner about the geometry. It’s also a piece of art that will proudly hang in the Mathematics 3 atrium.

Volunteers needed!

We are looking for 30-40 volunteers from 8:00 a.m. – 6:00 p.m. for 30- to 60- minute intervals; whatever you can spare.

After we complete the build, watch the model rise to its permanent spot -  suspended from the ceiling in the M3 Atrium.

Volunteers will be making a valuable and memorable contribution to the legacy of the Faculty of Mathematics.

Sign up today at: https://teamup.com/ksz4a5xw6r8qfumduy  



University of Waterloo Faculty of Mathematics logoMathematics Endowment Fund logo