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# Prism numbers

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*What are prism numbers?*

Right and uniform -gonal **prism numbers** *might be defined as ... (has yet to be determined...)*

- a prism volume: a stack of layers of th -gonal numbers (so that every edge has balls)
- a prism surface: two end faces of th -gonal numbers, with the addition of balls on the joining edges (so that every edge has balls)
- a (better) prism surface: two end faces of th -gonal numbers, where each joining faces are th square numbers (with the addition of balls on the joining edges, and then adding the internal balls (corresponding to the th square numbers) for each of the joining faces)
- what is the definition that would give
*"A005915 Hexagonal prism numbers: (n + 1)*(3*n^2 + 3*n + 1)."*considering that we have*"A000384 Hexagonal numbers: n*(2*n-1)."*?

**Prism numbers**:

- Trigonal prism numbers (triangular prism numbers)
- Tetragonal prism numbers (square prism numbers) (definition 1 would give cube numbers)
- Pentagonal prism numbers
- Hexagonal prism numbers
- Heptagonal prism numbers
- Octagonal prism numbers
- Enneagonal prism numbers
- Decagonal prism numbers
- Hendecagonal prism numbers
- Dodecagonal prism numbers
- ...

## Sequences

A005915 Hexagonal prism numbers:

- {1, 14, 57, 148, 305, 546, 889, 1352, 1953, 2710, 3641, 4764, 6097, 7658, 9465, 11536, 13889, 16542, 19513, 22820, 26481, 30514, 34937, 39768, 45025, 50726, 56889, 63532, 70673, ...}

A000384 Hexagonal numbers:

- {0, 1, 6, 15, 28, 45, 66, 91, 120, 153, 190, 231, 276, 325, 378, 435, 496, 561, 630, 703, 780, 861, 946, 1035, 1128, 1225, 1326, 1431, 1540, 1653, 1770, 1891, 2016, 2145, 2278, ...}

*How do we get from the hexagonal numbers to the hexagonal prism numbers?* — Daniel Forgues 09:23, 17 July 2012 (UTC)

## See also

## External links

- Paper Models of Polyhedra, Pictures of Prisms, Copyright © 1998-2012 Gijs Korthals Altes All rights reserved.
- Prism (geometry)—Wikipedia.org.