08 · Dimension four
Meet G₄ through its facets.
A four-dimensional polytope cannot be displayed directly in three dimensions. Its facets can: each is an honest three-dimensional polytope, joined to its neighbors along polygonal ridges.
Projection onlyFour dimensions mapped to three
First orientation
A shadow of the whole.
This rotatable skeleton is a fixed linear projection of G1/44. It helps with orientation, but crossings and overlaps in this view are not incidences in four dimensions.
- Vertices
- 28
- Edges
- 73
- 2-faces
- 73
- Facets
- 28
Coral edges belong to the selected facet. Gold vertices also occur in at least one adjacent facet.
Faithful three-dimensional facet
O₀,∅
Click a polygonal face to cross its shared ridge to the adjacent facet.
Typecube
f-vector(1, 8, 12, 6, 1)
Vertices8
Adjacent facets6