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User:Daniel Forgues/Contributions/Figurate numbers

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In progress (Figurate numbers)

Category:Figurate numbers (by increasing number of vertices)
Figurate numbers
Category:Classifications of figurate numbers
Classifications of 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
αd
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
αd
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
βd
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
βd
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
γd
numbers (dimensionality
d   ≥   0
)
Square numbers (4-sided Polygonal numbers, 2-D Regular orthotopic numbers or 2-D Orthoplicial polytopic numbers)
Cube numbers (6-faced Platonic numbers or 3-D Regular orthotopic numbers)
Hypercube 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
γd
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 cube numbers (6-faced Centered Platonic numbers or 3-D Centered regular orthotopic numbers)
Centered hypercube 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
Square hyperpyramidal numbers
Category:(Centered squares) 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)
(Centered squares) hyperpyramidal numbers
Centered square hyperpyramidal numbers REDIRECT to (Centered squares) hyperpyramidal numbers
Category:3-dimensional hyperpyramidal numbers
Category:Pyramidal numbers
Pyramidal numbers
Category:(Centered polygons) 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)
(Centered polygons) pyramidal numbers
Centered pyramidal numbers (REDIRECT to (Centered polygons) pyramidal numbers)
Category:Classification of figurate numbers by dimensionality
Classification of figurate numbers by dimensionality
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:1-dimensional figurate numbers (by increasing number of vertices)
Category:1-dimensional regular polytope numbers
Category:Gnomonic numbers
Gnomonic numbers
1-dimensional regular polytope numbers (REDIRECT to Gnomonic numbers)
Category:Centered gnomonic numbers
Centered gnomonic numbers
Centered 1-dimensional regular polytope numbers (REDIRECT to Centered gnomonic numbers)
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: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/cube numbers (dual pair)
Octahedral numbers or Square dipyramidal numbers (8-faced Platonic numbers or 3-D Orthoplicial polytopic numbers)
Cube numbers (6-faced Platonic numbers or 3-D Regular orthotopic numbers)
Icosahedral/dodecahedral numbers (dual pair)
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/cube numbers (dual pair)
Centered octahedral numbers or (Centered squares) dipyramidal numbers or (8-faced Centered Platonic numbers or 3-D Centered orthoplicial polytopic numbers)
Centered cube numbers (6-faced Centered Platonic numbers or 3-D Centered regular orthotopic numbers)
Centered icosahedral/dodecahedral numbers (dual pair)
Centered icosahedral numbers (REDIRECT to 20-faced Centered Platonic numbers)
Centered dodecahedral numbers (REDIRECT to 12-faced Centered Platonic numbers)
Category:3-dimensional nonregular polytope numbers
Category:Pyramidal numbers
Pyramidal numbers
Category:(Centered polygons) 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)
(Centered polygons) pyramidal numbers
Centered pyramidal numbers (REDIRECT to (Centered polygons) pyramidal numbers)
Dipyramidal/prism numbers (dual pair)
Category:Dipyramidal numbers
Dipyramidal numbers
Category:Prism numbers
Prism numbers
Centered dipyramidal/prism numbers (dual pair)
Category:Centered dipyramidal numbers
Centered dipyramidal numbers
Category:Centered prism numbers
Centered prism 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/tesseract numbers (dual pair)
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/hyperdodecahedral numbers (dual pair)
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/tesseract numbers (dual pair)
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/hyperdodecahedral numbers (dual pair)
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)