List_of_E7_polytopes
In 7-dimensional geometry, there are 127 uniform polytopes with E7 symmetry. The three simplest forms are the 321, 231, and 132 polytopes, composed of 56, 126, and 576 vertices respectively.
321 |
231 |
132 |
They can be visualized as symmetric orthographic projections in Coxeter planes of the E7 Coxeter group, and other subgroups.