## FANDOM

725 Pages

A pentasphere is a 5-dimensional surface produced by finding the set of all points that are an equal distance from another point in 6-dimensional space. Because it is curved, it is often represented embedded in 6-dimensional space. A pentasphere is the shape of the exterior of a hexorb. It is the 5-dimensional hypersphere.

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