information:filtering
Related polytopes and honeycombs

The tesseract is 4th in a series of hypercube:

The tesseract (8-cell) is the third in the sequence of 6 convex regular 4-polytopes (in order of size and complexity).

As a uniform duoprism, the tesseract exists in a sequence of uniform duoprisms: { p }×{4}.

The regular tesseract, along with the 16-cell, exists in a set of 15 uniform 4-polytopes with the same symmetry. The tesseract {4,3,3} exists in a sequence of regular 4-polytopes and honeycombs, { p,3,3} with tetrahedral vertex figures, {3,3}. The tesseract is also in a sequence of regular 4-polytope and honeycombs, {4,3, p } with cubic cells.

The regular complex polytope {4},, in C 2 {\displaystyle \mathbb {C} ^{2}} has a real representation as a tesseract or 4-4 duoprism in 4-dimensional space. {4} has 16 vertices, and 8 4-edges. Its symmetry is, order 32. It also has a lower symmetry construction,, or {}× {}, with symmetry, order 16. This is the symmetry if the red and blue 4-edges are considered distinct.