Jenn3d

Jenn3d is a software tool designed for playing with different quotients of Cayley graphs linked to finite Coxeter groups on four generators. It accomplishes this by constructing the graphs using the Todd-Coxeter algorithm, then embedding them into the 3-sphere and finally projecting them stereographically into euclidean 3-space. Although the models technically reside in the hypersphere, they appear curved in our flat space.

Jenn3d includes some default motion models which control the six degrees of freedom related to rotation of the hypersphere. This allows users to manipulate the graph models to their preferred positions for easy examination and exploration. Overall, Jenn3d is an excellent software tool for those interested in the study and manipulation of finite Coxeter groups and their corresponding graph structures.