User:Tomruen/mixed polytopes
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More information Family, Form ...
Family | Form | Example | Family | Form | Example |
---|---|---|---|---|---|
rectangle 2-orthotope |
{ }×{ } [2] | 2-cube t{2} |
rhombus 2-fusil |
{ }+{ } [2] | 2-orthoplex |
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More information Polyhedra, Polychora ...
Polyhedra | Polychora | |||||||||
---|---|---|---|---|---|---|---|---|---|---|
Family | Form | Example | Family | Form | Family | Form | Example | Family | Form | Example |
pyramid | {n}∨() [n,1] | triangular pyramid {3}∨() as tetrahedron |
digonal disphenoid |
{ }∨{ } [2] |
pyramid | {p,q}∨() [p,q,1] | tetrahedral pyramid {3,3}∨() as 5-cell |
{p}∨{ } [p,2,1] | tetrahedral pyramid {3}∨{ } as 5-cell |
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More information Polyhedra, Polychora ...
Polyhedra | Polychora | |||||||
---|---|---|---|---|---|---|---|---|
Family | Form | Example | Family | Form | Example | Family | Form | Example |
prism | { }×{n} =t{2,n} [2,n] | square prism { }×{4} as cube = t{2,4} |
prism | { }×{p,q} =t{2,p,q} [2,p,q] | cubic prism { }×{4,3} as tesseract = t{2,4,3} |
duoprism | {p}×{q} =rr{p,2,q} [p,2,q] | 4-4 duoprism {4}×{4} as tesseract = rr{4,2,4} |
bipyramid (fusil) |
{ }+{n} [2,n] | square fusil { }+{4} as octahedron |
bipyramid (fusil) |
{ }+{p,q} [2,p,q] | octahedral fusil { }+{3,4} as 16-cell |
duopyramid (duofusil) |
{p}+{q} [p,2,q] | 4-4 duofusil {4}+{4} as 16-cell |
antiprism | { }⨂{n} =h{2}s{n} =s{2,2n} [2,n]+ [2+,2n] | triangular antiprism { }⨂{3} as octahedron = h{2}s{3} = s{2,6} |
antiprism | { }⨂{p,2q} =h{2}s{p,2q} [(2,p)+,2q] | snub octahedral antiprism { }⨂{3,4} = h{2}s{3,4} |
duoantiprism | {p}⨂{q} =s{p}s{q} =2s{2p,2,2q} [p,2,q]+ [2p,2+,2q] | 2-2 duoantiprism {2}⨂{2} as 16-cell = s{2}s{2} = 2s{4,2,4} |
trapezohedron (antifusil) |
{ }⨁{n} [2,n]+ [2+,2n] | triangular antifusil { }⨁{3} as cube |
antifusil | { }⨁{p,2q} [(2,p)+,q] | snub octahedral antifusil { }⨁{3,4} as icosahedral antifusil |
duoantifusil | {p}⨁{q} [p,2,q]+ [2p,2+,2q] | 2-2 duoantifusil {2}⨁{2} as tesseract |
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More information Polyhedra, Polychora ...
Polyhedra | Polychora | |||
---|---|---|---|---|
Family | Example | Image | Family | Example |
Prism { }×{n} [2,n], order 4n |
Square prism { }×{4} as cube [2,4], order 16 | Duoprism {p}×{q} [p,2,q], order 4pq [[p,2,p]], order 8p2 |
4-4 duoprism {4}×{4} as tesseract [4,2,4], order 64 [[4,2,4]], order 128 | |
Fusil { }+{n} [2,n], order 4n |
Square fusil { }+{4} as octahedron [2,4], order 16 | Duofusil {p}+{q} [p,2,q], order 4pq [[p,2,p]], order 8p2 |
4-4 duofusil {4}+{4} as 16-cell [4,2,4], order 64 [[4,2,4]], order 128 | |
Antiprism { }⨂{n} [2,n]+, order 2n [2+,2n], order 4n |
Triangular antiprism { }⨂{3} as octahedron [2,3]+, order 6 [2+,6], order 12 | Duoantiprism {p}⨂{q} [p,2,q]+, order 2pq [2p,2+,2q], order 8pq [[2p,2+,2p]], order 16p2 |
2-2 duoantiprism {2}⨂{2} as 16-cell [2,2,2]+, order 8 [4,2+,4], order 32 [[4,2+,4]], order 64 | |
Antifusil { }⨁{n} [2,n]+, order 2n [2+,2n], order 4n |
Triangular antifusil { }⨁{3} as cube [2,3]+, order 6 [2+,6], order 12 | Duoantifusil {p}⨁{q} [p,2,q]+, order 2pq [2p,2+,2q], order 8pq [[2p,2+,2p]], order 16p2 |
2-2 duoantifusil {2}⨁{2} as tesseract [2,2,2]+, order 8 [4,2+,4], order 32 [[4,2+,4]], order 64 |
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