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A tetrasphere or hyperglome is a 4-dimensional surface produced by finding the set of all points that are an equal distance from another point in 5-dimensional space. Because it is curved, it is often represented embedded in 5-dimensional space. A tetrasphere is the shape of the exterior of a pentorb. It is the 4-dimensional hypersphere.

Structure and Sections

A flunic cross-section of a tetrasphere is shaped like a glome.

Hypervolumes

  • vertex count = 0
  • edge length = 0
  • surface area =0
  • surcell volume = 0
  • surteron bulk = \frac{\pi^3}{6}l^4

Subfacets

  • 1 tetrasphere (4D)

See Also

\mathbb{S}^0 \mathbb{S}^1 \mathbb{S}^2 \mathbb{S}^3 \mathbb{S}^4 \mathbb{S}^5 \mathbb{S}^6 \mathbb{S}^7 \mathbb{S}^8 \mathbb{S}^9 \mathbb{S}^{10} \mathbb{S}^{11} \mathbb{S}^{12} \mathbb{S}^{13} \mathbb{S}^{14} \mathbb{S}^{15} \mathbb{S}^{16} ... \mathbb{S}^\omega
Point pair Circle Sphere Glome Tetrasphere Pentasphere Hexasphere Heptasphere Octasphere Enneasphere Dekasphere Hendekasphere Dodekasphere Tridekasphere Tetradekasphere Pentadekasphere Hexadekasphere ... Omegasphere

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