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User:Daniel Forgues/Backup/Figurate numbers
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Classifications of figurate numbers (via numbered lists)
- Category:Figurate numbers (by increasing number of vertices)
- Figurate numbers
- Category:Regular polytope numbers (by increasing number of vertices)
- Regular polytope numbers
- Category:Simplicial polytopic numbers
- Simplicial polytopic numbers or Regular simplex numbers or Simplex numbers or numbers, dimensionality d ≥ 0
- Triangular numbers (3-sided Polygonal numbers or 2-D Simplicial polytopic numbers)
- Tetrahedral numbers (4-faced Platonic numbers or 3-D Simplicial polytopic numbers)
- Hypertetrahedral numbers (REDIRECT to Simplicial polytopic numbers)
- Category:Centered simplicial polytopic numbers
- Centered simplicial polytopic numbers or Centered regular simplex numbers or Centered simplex numbers or centered numbers, dimensionality d ≥ 0
- Centered triangular numbers (3-sided Centered polygonal numbers or 2-D Centered simplicial polytopic numbers)
- Centered tetrahedral numbers (4-faced Centered Platonic numbers or 3-D Centered simplicial polytopic numbers)
- Centered hypertetrahedral numbers (REDIRECT to Centered simplicial polytopic numbers)
- Category:Orthoplicial polytopic numbers
- Orthoplicial polytopic numbers or Orthoplex numbers or Cross polytope numbers or numbers, dimensionality d ≥ 0
- Square numbers (4-sided Polygonal numbers, 2-D Regular orthotopic numbers or 2-D Orthoplicial polytopic numbers)
- Octahedral numbers or Square dipyramidal numbers (8-faced Platonic numbers or 3-D Orthoplicial polytopic numbers)
- Hyperoctahedral numbers (REDIRECT to Orthoplicial polytopic numbers)
- Category:Centered orthoplicial polytopic numbers
- Centered orthoplicial polytopic numbers or Centered orthoplex numbers or Centered cross polytope numbers or centered numbers, dimensionality d ≥ 0
- Centered square numbers (4-sided Centered polygonal numbers, 2-D Centered regular orthotopic numbers or 2-D Centered orthoplicial polytopic numbers)
- Centered octahedral numbers or (Centered squares) dipyramidal numbers (8-faced Centered Platonic numbers or 3-D Centered orthoplicial polytopic numbers)
- Centered hyperoctahedral numbers (REDIRECT to Centered orthoplicial polytopic numbers)
- Category:Regular orthotopic numbers
- Regular orthotopic numbers or Orthotope numbers or Measure polytope numbers or numbers, dimensionality d ≥ 0
- Square numbers (4-sided Polygonal numbers, 2-D Regular orthotopic numbers or 2-D Orthoplicial polytopic numbers)
- Cubic numbers (6-faced Platonic numbers or 3-D Regular orthotopic numbers)
- Hypercubic numbers (REDIRECT to Regular orthotopic numbers)
- Category:Centered regular orthotopic numbers
- Centered regular orthotopic numbers or Centered orthotope numbers or Centered measure polytope numbers or centered numbers, dimensionality d ≥ 0
- Centered square numbers (4-sided Centered polygonal numbers, 2-D Centered regular orthotopic numbers or 2-D Centered orthoplicial polytopic numbers)
- Centered cubic numbers (6-faced Centered Platonic numbers or 3-D Centered regular orthotopic numbers)
- Centered hypercubic numbers (REDIRECT to Centered regular orthotopic numbers)
- Category:Nonregular polytope numbers (by increasing number of vertices)
- Nonregular polytope numbers (created as stub)
- Category:Hyperpyramidal numbers
- Category:Square hyperpyramidal numbers
- Category:Centered square hyperpyramidal numbers REDIRECT to Category:(Centered squares) hyperpyramidal numbers
- NOTE: The (centered squares) hyperpyramidal numbers ARE NOT GLOBALLY CENTERED (only the original squares are)
- Category:3-dimensional hyperpyramidal numbers
- Category:Pyramidal numbers
- Category:Centered pyramidal numbers REDIRECT to Category:(Centered polygons) pyramidal numbers
- NOTE: The (centered polygons) pyramidal numbers ARE NOT GLOBALLY CENTERED (only the original polygons are)
- Category:0-dimensional figurate numbers (by increasing number of vertices)
- Category:0-dimensional regular polytope numbers
- Category:Point numbers
- Point numbers {0, 1} (The convention being that figurate numbers have the initial dot for n = 1.)
- 0-dimensional regular polytope numbers (REDIRECT to Point numbers)
- Category:Centered point numbers
- Centered point numbers {1} (The convention being that centered figurate numbers have the central dot for n = 0.)
- Centered 0-dimensional regular polytope numbers (REDIRECT to Centered point numbers)
- Category:Point numbers
- Category:0-dimensional regular polytope numbers
- Category:1-dimensional figurate numbers (by increasing number of vertices)
- Category:2-dimensional figurate numbers (by increasing number of vertices)
- Category:2-dimensional regular polytope numbers
- Category:Polygonal numbers
- Polygonal numbers
- 2-dimensional regular polytope numbers (REDIRECT to Polygonal numbers)
- Triangular numbers (3-sided Polygonal numbers or 2-D Simplicial polytopic numbers)
- Square numbers (4-sided Polygonal numbers, 2-D Regular orthotopic numbers or 2-D Orthoplicial polytopic numbers)
- Pentagonal numbers (5-sided Polygonal numbers)
- Hexagonal numbers (6-sided Polygonal numbers)
- Heptagonal numbers (7-sided Polygonal numbers)
- Octagonal numbers (8-sided Polygonal numbers)
- Dodecagonal numbers (12-sided Polygonal numbers)
- Icosagonal numbers (20-sided Polygonal numbers)
- Category:Centered polygonal numbers
- Centered polygonal numbers
- Centered 2-dimensional regular polytope numbers (REDIRECT to Centered polygonal numbers)
- Centered triangular numbers (3-sided Centered polygonal numbers or 2-D Centered simplicial polytopic numbers)
- Centered square numbers (4-sided Centered polygonal numbers, 2-D Centered regular orthotopic numbers or 2-D Centered orthoplicial polytopic numbers)
- Centered pentagonal numbers (5-sided Centered polygonal numbers)
- Centered hexagonal numbers or Hex numbers (6-sided Centered polygonal numbers)
- Centered heptagonal numbers (7-sided Centered polygonal numbers)
- Centered octagonal numbers (8-sided Centered polygonal numbers)
- Centered dodecagonal numbers (12-sided Centered polygonal numbers)
- Centered icosagonal numbers (20-sided Centered polygonal numbers)
- Category:Polygonal numbers
- Category:2-dimensional regular polytope numbers
- Category:3-dimensional figurate numbers (by increasing number of vertices)
- Category:3-dimensional regular polytope numbers
- Category:Platonic numbers
- Platonic numbers
- 3-dimensional regular polytope numbers (REDIRECT to Platonic numbers)
- Tetrahedral numbers (4-faced Platonic numbers or 3-D Simplicial polytopic numbers)
- Octahedral numbers or Square dipyramidal numbers (8-faced Platonic numbers or 3-D Orthoplicial polytopic numbers)
- Cubic numbers (6-faced Platonic numbers or 3-D Regular orthotopic numbers)
- Icosahedral numbers (REDIRECT to 20-faced Platonic numbers)
- Dodecahedral numbers (REDIRECT to 12-faced Platonic numbers)
- Category:Centered Platonic numbers
- Centered Platonic numbers
- Centered 3-dimensional regular polytope numbers (REDIRECT to Centered Platonic numbers)
- Centered tetrahedral numbers (4-faced Centered Platonic numbers or 3-D Centered simplicial polytopic numbers)
- Centered octahedral numbers or (Centered squares) dipyramidal numbers or (8-faced Centered Platonic numbers or 3-D Centered orthoplicial polytopic numbers)
- Centered cubic numbers (6-faced Centered Platonic numbers or 3-D Centered regular orthotopic numbers)
- Centered icosahedral numbers (REDIRECT to 20-faced Centered Platonic numbers)
- Centered dodecahedral numbers (REDIRECT to 12-faced Centered Platonic numbers)
- Category:Platonic numbers
- Category:3-dimensional nonregular polytope numbers
- Category:Pyramidal numbers
- Category:Centered pyramidal numbers REDIRECT to Category:(Centered polygons) pyramidal numbers
- NOTE: The (centered polygons) pyramidal numbers ARE NOT GLOBALLY CENTERED (only the original polygons are)
- Category:3-dimensional regular polytope numbers
- Category:4-dimensional figurate numbers (by increasing number of vertices)
- Category:4-dimensional regular polytope numbers
- Category:Regular polychoron numbers
- Regular polychoron numbers
- 4-dimensional regular polytope numbers (REDIRECT to Regular polychoron numbers)
- Pentachoron numbers (5-celled Regular polychoron numbers or 4-D Simplicial polytopic numbers)
- Tetracross numbers (16-celled Regular polychoron numbers or 4-D Orthoplicial polytopic numbers)
- Tesseract numbers (8-celled Regular polychoron numbers or 4-D Regular orthotopic numbers)
- 24-cell numbers (REDIRECT to 24-celled Regular polychoron numbers)
- Hypericosahedral numbers or 600-cell numbers (both REDIRECT to 600-celled Regular polychoron numbers)
- Hyperdodecahedral numbers or 120-cell numbers (both REDIRECT to 120-celled Regular polychoron numbers)
- Category:Centered regular polychoron numbers
- Centered regular polychoron numbers
- Centered 4-dimensional regular polytope numbers (REDIRECT to Centered regular polychoron numbers)
- Centered pentachoron numbers (5-celled Centered regular polychoron numbers or 4-D Centered simplicial polytopic numbers)
- Centered tetracross numbers (16-celled Centered regular polychoron numbers or 4-D Centered orthoplicial polytopic numbers)
- Centered tesseract numbers (8-celled Centered regular polychoron numbers or 4-D Centered regular orthotopic numbers)
- Centered 24-cell numbers (REDIRECT to 24-celled Centered regular polychoron numbers)
- Centered hypericosahedral numbers or Centered 600-cell numbers (both REDIRECT to 600-celled Centered regular polychoron numbers)
- Centered hyperdodecahedral numbers or Centered 120-cell numbers (both REDIRECT to 120-celled Centered regular polychoron numbers)
- Category:Regular polychoron numbers
- Category:4-dimensional regular polytope numbers