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Regular Polytopes · 4D

16-Cell

{3,3,4} · the 4D cross-polytope

16-Cell, drawn as a glowing line figure

One point at each end of four perpendicular axes. The 4D octahedron, bounded by sixteen tetrahedra.

Vertices
8
Edges
24
Faces
32
Cells
16

Open in SacredForm

Watch it turn through the fourth dimension, hear the chord of its edges, and slice it with our space to see it pass through.

Facts

  • Every vertex joins every other except its opposite.
  • Its shadow along W is an octahedron with two points at the centre.
  • Its dual is the tesseract.

Across the dimensions

  • Its equator OctahedronAdd two points along a fourth axis: the 16-cell, the octahedron’s 4D sibling.
  • Dual Tesseract

Learn it step by step

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