Q:

# How many faces, edges and vertices does a sphere have?

A:

A sphere has no faces, edges or vertices. By definition, it is a curved three-dimensional geometric figure whose surface is defined as the set of all the points equidistant from its center point.

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Credit: horiavarlan CC-BY 2.0

A vertex is a point where two or more straight lines meet. Since a sphere has no straight lines, it also has no vertices. An edge is a line segment that joins two vertices. Since a sphere has no vertices, it also has no edges. A face is defined as a flat surface of a three-dimensional figure. The continuously curving surface of a sphere has no flat places, and so a sphere has no faces.

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