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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
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