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Category: | Series |

Submitted By: | 12345_lewis2 |

Fun: | (2.21) |

Difficulty: | (3.12) |

1,1,infinity,5,6,?

What is the next number?

In 0-D, there is a dot. Nothing else. So, there is one.

In 1-D, the line, is the only one.

In 2-D there are infinity regular polygons

In 3-D, 5 Platonic Solids appear:

tetrahedron, cube, octahedron, dodecahedron, and icosahedron.

In 4-D, 6 regular polytopes show:

5-cell, 8-cell, 12-cell, 24-cell, 120-cell, and 600-cell.

In the fifth dimension, only the simplex, hypercube, and cross polytope are regular.

This leaves us with 3 as our answer.

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