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Centered prism numbers

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What are centered prism numbers?

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

  1. a prism volume: a stack of layers of th centered -gonal numbers (so that every edge has balls)
  2. a prism surface: two end faces of th centered -gonal numbers, with the addition of balls on the joining edges (so that every edge has balls)
  3. a (better) prism surface: two end faces of th centered -gonal numbers, where each joining faces are th centered square numbers (with the addition of balls on the joining edges, and then adding the internal balls (corresponding to the th centered square numbers) for each of the joining faces)
  4.  ?

Centered prism numbers:

  • Centered trigonal prism numbers (centered triangular prism numbers)
  • Centered tetragonal prism numbers (centered square prism numbers)
  • Centered pentagonal prism numbers
  • Centered hexagonal prism numbers
  • Centered heptagonal prism numbers
  • Centered octagonal prism numbers
  • Centered enneagonal prism numbers
  • Centered decagonal prism numbers
  • Centered hendecagonal prism numbers
  • Centered dodecagonal prism numbers
  • ...

See also