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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)

$\mathbb{S}^0$ $\mathbb{S}^1$ $\mathbb{S}^2$ $\mathbb{S}^3$ $\mathbb{S}^4$ $\mathbb{S}^5$ $\mathbb{S}^6$ $\mathbb{S}^7$ $\mathbb{S}^8$ $\mathbb{S}^9$ $\mathbb{S}^{10}$ $\mathbb{S}^{11}$ $\mathbb{S}^{12}$ $\mathbb{S}^{13}$ $\mathbb{S}^{14}$ $\mathbb{S}^{15}$ $\mathbb{S}^{16}$ ... $\mathbb{S}^\omega$