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- 03:21, 26 May 2023 Uniform dual (hist | edit) [1,145 bytes] Sycamore916 (talk | contribs) (Since 564 pages link here it's probably worth having something here.)
- 04:06, 24 May 2023 Rhombic tiling (hist | edit) [482 bytes] Sycamore916 (talk | contribs) (Started page.)
- 03:23, 24 May 2023 Überoctoplex (hist | edit) [1,903 bytes] Vel (talk | contribs) (Created page with "{{Infobox polytope |dim = 3 |faces = 8 equilateral triangles, 6 rectangles, 12 trapezoids |edges = |vertices = 24 |euler = 2 |density=1 |symmetry=B<sub>3</sub>/2, order 24 |conv=No |orient=Yes |genus=0 }} The '''Überoctoplex''' is a certain polyhedron with the property that with a light placed at every vertex, it is not possible to illuminate the entire interior of the polyhedron (a three-dimensional variant of the {{w|art gallery problem}}...")
- 04:26, 23 May 2023 Isotoxal polytope (hist | edit) [4,559 bytes] Vel (talk | contribs) (Created page with "A polytope is '''isotoxal''' or '''edge-transitive''' if its edges are identical under its symmetry group. In other words, given any two edges, there is a symmetry of the polytope that transforms one into the other. Clearly, an isotoxal polytope must have only one edge length. Isotoxal polytopes as a group are much less studied than isotopic (vertex-transitive) and isogonal (facet-transitive) polytopes. Most isotoxal polygons have degrees of freedom,...")
- 00:47, 23 May 2023 Hemiicositetrachoron (hist | edit) [1,128 bytes] Sycamore916 (talk | contribs) (Created page with "{{Infobox polytope | rank = 4 | type = Regular | space = | schlafli = <math>\{3,4,3\}_6</math><ref name="Arp163">{{harvcoltxt|McMullen|Schulte|2002|p=163}}</ref> | cells = 12 octahedra | faces = 48 triangles | edges = 48 | vertices = 12 | verf = Cube | flags = 576 | euler = 0 | stype = {{Schlink|3|4|3}} | dual = [[{{PAGENAME}}]] | surf = <math>\mathbb{P}^3(\mathbb{R})</math> | orient = Yes }} The '''{{lc:{{PAGENAME}}}}''' or '''hemi-24-cell''' is a abst...")
- 16:37, 22 May 2023 Halved square duocomb (hist | edit) [1,019 bytes] Sycamore918 (talk | contribs) (Created page with "{{Infobox polytope | rank = 3 | space = 4-dimensional Euclidean space | faces = 8 skew squares | edges = 16 | vertices = 8 | verf = Square, edge length 1 | petp = 8 skew squares | flags = 64 | euler = 0 | genus = 1 | petrial = [[{{PAGENAME}}]] | orient = Yes | stype = {{Schlink|4|4}} }} The '''{{lc:{{PAGENAME}}}}''' is a regular skew polyhedron in 4-dimensional Euclidean space. It can be obtained by halving the square duocomb. == Vertex c...")
- 13:21, 22 May 2023 Halved triangular duocomb (hist | edit) [1,756 bytes] Sycamore916 (talk | contribs) (Created page with "{{Infobox polytope | rank = 3 | space = 4-dimensional Euclidean space | faces = 9 skew squares | edges = 18 | vertices = 9 | euler = 0 | flags = 72 | army = Triddip, edge length <math>\sqrt{2}/2</math> | reg = Triddip | hull = Triangular duoprism | stype = {{Schlink|4|4}} | genus = 1 | symmetry = A<sub>2</sub>≀S<sub>2</sub>, order 72 }} The '''{{lc:{{PAGENAME}}}}''' is a regular skew polyhedron in 4...")
- 04:24, 19 May 2023 Spirolateral (hist | edit) [6,246 bytes] Vel (talk | contribs) (Created page with "'''Spirolaterals''' are a class of polygons, mostly self-intersecting, that generally have a single internal angle and a sequence of edge lengths formed from repetitions of the sequence 1, 2, ..., ''n''. A ''simple spirolateral'' is constructed as follows: draw a 1-unit line segment, turn φ degrees clockwise, draw a 2-unit line segment, turn φ degrees clockwise, ... draw an ''n''-unit line segment, turn φ degrees clockwise, repeat from the beginning....")
- 03:29, 19 May 2023 Polyomino (hist | edit) [1,083 bytes] Vel (talk | contribs) (Created page with "A '''polyomino''' is a non-self-intersecting polygon constructed by joining together one or more unit squares edge to edge. Polyominoes are named by size (number of constituent unit squares) using Greek prefixes: size 2 is the domino, size 3 is the trominoes, size for the tetrominoes, etc. For heptominoes and above, polyominoes may have holes and are therefore may not be simply connected polyominoes; some do not consider these valid. The enumeration of polyo...")
- 23:53, 18 May 2023 Golygon (hist | edit) [1,602 bytes] Vel (talk | contribs) (Created page with "A '''golygon''' is a non-self-intersecting ''n''-gon with all vertices in a square lattice and all angles 90 degrees (a polyomino) such that all edge lengths are 1, 2, ..., ''n'' in circular order. Golygons were investigated by Lee Sallows. The smallest golygon has eight sides, and interestingly can tile the plane. A '''golyhedron''' is a non-self-intersecting polyhedron where all ''n'' faces are polyominoes and have areas 1, 2, ..., ''n''. T...")
- 14:42, 16 May 2023 Kummer configuration (hist | edit) [892 bytes] Sycamore916 (talk | contribs) (Created page with "{{Infobox polytope | rank = 2 | space = 3-dimensional Euclidean space | type = Regular configuration | configsym = {{Configsym|16|6}} | edges = 16 hexads | vertices = 16 | flags = 96 | verf = Hexad | dual = [[{{PAGENAME}}]] | nature = Exotic }} The '''{{PAGENAME}}''' or '''Kummer's <math>16_6</math>''' is a exotic polygonoid and configuration. == Related polytopes == The incidence graph of the {{PAGENAME}} is the skeleton of the 6-d...")
- 03:46, 16 May 2023 Hexagonal-triangular coil (hist | edit) [1,727 bytes] Plasmath (talk | contribs) (Created the page. This coil is less important than the pentagonal-pentagrammic coil, but it's still interesting.) Tag: Visual edit: Switched
- 22:17, 15 May 2023 Pentagonal-pentagrammic coil (hist | edit) [947 bytes] Sycamore916 (talk | contribs) (Created page using Plasmath's naming scheme.)
- 17:08, 14 May 2023 Skew icosahedron (hist | edit) [2,135 bytes] Sycamore916 (talk | contribs) (Created page with "{{Distinguish|Blended icosahedron}} {{Infobox polytope | rank = 3 | type = Regular | space = 6-dimensional Euclidean space | faces = 20 triangles | edges = 30 | vertices = 12 | verf = Skew pentagon, <math>90^\circ</math> digonal angle, edge length 1 | dih = <math>109^\circ</math> | stype = {{Schlink|3|5}} | flags = 120 | euler = 2 | orient = Yes | convex = No }} The '''{{lc:{{PAGENAME}}}}'' is a regular skew polyhedron in 6-dimensional Euclidean s...")
- 16:39, 13 May 2023 Cremona-Richmond configuration (hist | edit) [1,720 bytes] Sycamore916 (talk | contribs) (Created page with "{{Infobox polytope | img = CR doily.svg | rank = 2 | type = Regular generalized polygon | edges = 15 triads | vertices = 15 | verf = Triad | flags = 45 | dual = [[{{PAGENAME}}]] | configsym = {{Configsym|15|3}} | Nature = Exotic }} The '''Cremona-Richmond configuration''', or the '''doily''', is a configuration and generalized quadrangle. == Duads and systhemes == File:Cremona-Richmond configuration.svg|thumb|left|The {{PAGENAME}} with its...")
- 10:28, 10 May 2023 Hecatonicosachoric prismatic symmetry (hist | edit) [2,288 bytes] The New Kid (talk | contribs) (Created page with "{{DISPLAYTITLE:H<sub>4</sub>×A<sub>1</sub>}} {{Infobox group |name = Hecatonicosachoric prismatic symmetry |img = |rank = 5 |space = Spherical |order = 28800 |cox = {{CDD|node|2|node|3|node|3|node|5|node}} |axes = |omni = Great disprismatohexacosihecatonicosachoric prism }} '''Hecatonicosachoric prismatic symmetry''', also known as '''hexacosichoric prismatic symmetry''' and notated as '''H<sub>4</sub>×A<sub>1</sub>''', is a 5D spherical Coxeter group. It is t...")
- 21:29, 7 May 2023 Complex polytope (hist | edit) [3,171 bytes] Vel (talk | contribs) (Created page with "A '''complex polytope''' is a generalized polytope-like object whose containing space is ''n''-dimensional {{w|complex coordinate space}} <math>\mathbb{C}^n</math>. Complex coordinate space is an extension of Euclidean space <math>\mathbb{R}^n</math> where each dimension has a real and imaginary axis. Complex polytopes are not actually polytopes in the traditional sense, since they violate dyadicity, but are rather a kind of incidence geometry together wi...")
- 16:36, 7 May 2023 Apeirogonal dihedron (hist | edit) [920 bytes] Sycamore916 (talk | contribs) (Created page with "{{Infobox polytope | img = File:Apeirogonal dihedron.svg | rank = 2 | type = Regular | space = Euclidean plane | schlafli = <math>\{\infty,2\}</math> | coxeter = {{CDD|node 1|infin|node|2|node}} | faces = 2 apeirogons | edges = {{mvar|N}} | vertices = {{mvar|N}} | flags = {{mvar|2N}} | convex = Yes | orient = Yes | army = Aze | regiment = Aze | dual = Apeirogonal hosohedron | genus = 0 | nat = Wild | symmetry = W2×A1|W<sub>2</sub>×A<sub>...")
- 17:22, 4 May 2023 Petrial blended hexagonal tiling (hist | edit) [1,086 bytes] Sycamore918 (talk | contribs) (Created page with "{{Infobox polytope | rank = 3 | type = Regular | schlafli = <math>\{6,3\}^\pi\#\{\}</math> | faces = <math>N</math> zigzags | edges = <math>N\times 3M</math> | vertices = <math>N\times 2M</math> | flags = <math>N\times 12M</math> | petp = Skew hexagon | verf = Triangle | petrial = Blended hexagonal tiling | stype = {{Schlink|inf|3}} | genus = ∞ | orient = Yes | convex = No }} The '''{{PAGENAME}}''' is a regular skew polyhedron in 3D...")
- 12:30, 4 May 2023 Petrial blended square tiling (hist | edit) [1,550 bytes] Sycamore916 (talk | contribs) (Created page with "{{Infobox polytope | smo = Yes | rank = 3 | type = Regular | schlafli = <math>\{\infty, 4\}_4\#\{\}</math></br><math>\{4, 4\}^\pi\#\{\}</math> | faces = <math>N</math> zigzags | edges = <math>N\times 2M</math> | vertices = <math>N\times M</math> | verf = Square | flags = <math>N\times 8M</math> | petrial = Blended square tiling | hull = Square tiling prism | army = Square tiling prism | genus = ∞ | orient = Yes | stype = {{Schlink|inf|4}} |...")
- 18:07, 3 May 2023 Decagonal tiling (hist | edit) [1,166 bytes] Sycamore918 (talk | contribs) (Created page with "{{Infobox polytope | rank = 3 | type = Regular | space = Hyperbolic | coxeter = {{CDD|node 1|10|node|3|node}} | schlafli = {{Schlink|10|3|link=no}} | faces = 3{{mvar|N}} decagons | edges = 15{{mvar|N}} | vertices = 10{{mvar|N}} | verf = Triangle | surf = Hyperbolic plane | dual = Order-10 triangular tiling | convex = Yes | symmetry = [10,3] }} The '''order-3 decagonal tiling''', or just '''decagonal tiling''', is a regular tiling of the hyperbol...")
- 03:17, 3 May 2023 Purity (hist | edit) [1,672 bytes] Sycamore916 (talk | contribs) (Created page with "{{About|the property of skew polytopes|the property of posets|Abstract polytope#Chains and flags}} A skew polytope is '''pure''' if it cannot be expressed as the blend of two polytopes in a non-trivial way.<ref>{{harvcoltxt|McMullen|Schulte|1997|p=453}}</ref> == Trivial blends == A blend is considered trivial if the result is one of the arguments. For example any polytope {{mcal|P}} is the result of the blend <math>\mathcal{P}\#\mathcal{P}</math>, thus this blend is...")
- 19:02, 2 May 2023 Halved mucube (hist | edit) [2,226 bytes] Plasmath (talk | contribs) (Created page.) Tag: Visual edit: Switched
- 21:43, 29 April 2023 Mermin's pentagram (hist | edit) [1,270 bytes] Sycamore916 (talk | contribs) (Created page with "{{Infobox polytope | rank = 2 | img = File:(10 2,5 4).svg | type = Abstractly regular | edges = 5 tetrads | vertices = 10 | verf = Dyad | flags = 20 | dual = Complex dipentagon | conjugate = [[{{PAGENAME}}]] | configsym = {{Configsym|10|2|5|4}} | nature = Exotic | convex = No | symmetry = H<sub>2</sub>, order 10 }} '''Mermin's pentagram''' (also '''Mermin's magic pentagram''' or simply the '''magic pentagram''') is an [[exotic]...")
- 14:27, 28 April 2023 Möbius-Kantor configuration (hist | edit) [1,834 bytes] Sycamore916 (talk | contribs) (Created page with "{{Infobox polytope | img = File:Möbius–Kantor configuration symmetric.svg | rank = 2 | type = Regular | space = | edges = 8 triads | vertices = 8 | verf = Triad | dual = [[{{PAGENAME}}]] | euler = 0 | configsym = {{Configsym|8|3}} }} The [[{{PAGENAME}}]] is a exotic polygonoid and 3-configuration. It has 8 triads and 8 vertices, with a triadic vertex figure. The {{PAGENAME}} cannot be realized in Euclidean space with straight edg...") originally created as "Möbius–Kantor configuration"
- 02:21, 28 April 2023 Skew compound of four triangles (tetrahedral symmetry) (hist | edit) [1,929 bytes] Sycamore916 (talk | contribs) (Created page with "{{Infobox polytope | img = File:Tetrahedral compound of triangles.png | rank = 2 | type = Regular | components = 4 triangles | edges = 12 | vertices = 12 | flags = 24 | euler = 0 | symmetry = A<sub>3</sub>, order 24 }} The '''{{lc:{{PAGENAME}}}}''' is a regular skew compound of four planar triangles. It has a degree of freedom such that the components of the compound can vary in their distance from the center of the po...")
- 02:21, 27 April 2023 Möbius-Kantor polygon (hist | edit) [1,163 bytes] Sycamore916 (talk | contribs) (Created page with "{{Infobox polytope | img = File:Complex polygon 3-3-3-B4b.svg | smo = Yes | rank = 2 | type = Regular | space = Complex | coxeter = {{CDD|3node_1|3|3node}} | schlafli = <math>_3\{3\}_3</math> | edges = 8 3-edges | vertices = 8 | dual = [[{{PAGENAME}}]] | euler = 0 | configsym = {{Configsym|8|3}} | symmetry = <sub>3</sub>[3]<sub>3</sub> }} The '''{{PAGENAME}}''' is a regular complex polygon. It has 8 3-edges a...") originally created as "Möbius–Kantor polygon"
- 18:59, 24 April 2023 Star product (hist | edit) [2,624 bytes] Plasmath (talk | contribs) (Created the page.) Tag: Visual edit: Switched
- 17:03, 24 April 2023 Planarity (hist | edit) [776 bytes] Vel (talk | contribs) (Created page with "A polytope of rank ''n'' is '''planar''' if its vertices lie in ''n''-dimensional Euclidean space and the vertices of each proper element of rank ''r'' lie in an ''r''-dimensional affine subspace. It is a common condition imposed on polytopes realized in Euclidean space. Planarity assists with ensuring that polytopes have defined interiors (although it does not guarantee it, see filling method), and presents one way for polytope definitions to "r...")
- 10:54, 24 April 2023 Holey monster (hist | edit) [3,288 bytes] The New Kid (talk | contribs) (Not entirely sure if the symmetry is chiral-triangular-pyramidal or chiral-triangular-prismatic. Also, for the element counts of certain units, I didn't break them up into all the different orbits under the symmetry of the entire polyhedron, even though that's what's usually done. I just pretended that any one unit could be mapped to any other one of its type. Trust me, you don't want an even bigger wall of "3+3+3+...")
- 04:03, 24 April 2023 Ditope (hist | edit) [827 bytes] Sycamore916 (talk | contribs) (Created page with "thumb|250px|The [[hexagonal dihedron as a tiling of the sphere.]] A '''ditope''' is a polytope with two facets. Most definitions of polytopes require the two facets of the ditope to be identical, making ditopes generally degenerate. The sole exception is the dyad which can be considered as a rank-1 ditope and is non-degenerate. The ditope of a convex polytope {{mcal|P}} can be modeled as a tiling of an Hypersphere|{...")
- 18:18, 23 April 2023 Incidence graph (hist | edit) [1,006 bytes] Sycamore916 (talk | contribs) (Created page with "An incidence graph, or '''Levi graph''', is a graph representing the incidence relation between elements of a polytope or more generally an incidence geometry. It is a abstract representation and doesn't generally contain geometric information. == Description == An incidence graph of a incidence geometry {{mcal|P}} is a simple graph with a vertex for each element of {{mcal|P}} and an edge connecting two nodes iff those elements are incident....")
- 15:09, 23 April 2023 Great icosagram (hist | edit) [1,272 bytes] Username5243 (talk | contribs) (Created page with "{{Infobox polytope |image = |off = |dim = 2 |type=Regular |obsa = Gig |edges = 20 |vertices = 20 |verf = dyad, length {{radic|2-{{radic|(5+{{radic|5}})/2}}}} |schlafli = {20/9} |coxeter = x20/9o |army=Ic, edge length <math>1+\sqrt5-\sqrt{5+2\sqrt5}</math> |symmetry = I<sub>2</sub>(20), order 40 |circum = <math>\sqrt{3+\sqrt5-\sqrt{\frac{25+11\sqrt5}{2}}} ≈ 0.50623</math> |inrad = <math>\frac{1+\sqrt5-\sqrt{5+2\sqrt5}}{2} ≈ 0.0791...")
- 12:57, 23 April 2023 Icosagram (hist | edit) [1,273 bytes] Username5243 (talk | contribs) (Created page with "{{Infobox polytope |image = |off = |dim = 2 |type=Regular |obsa = Ig |edges = 20 |vertices = 20 |verf = dyad, length {{radic|2-{{radic|(5-{{radic|5}})/2}}}} |schlafli = {20/7} |coxeter = x20/7o |army=Ic, edge length <math>\sqrt{\frac{5-\sqrt5}{2}}-1</math> |symmetry = I<sub>2</sub>(20), order 40 |circum = <math>\sqrt{3-\sqrt5-\sqrt{\frac{25-11\sqrt5}{2}}} ≈ 0.56116</math> |inrad = <math>\frac{-1+\sqrt5-\sqrt{5-2\sqrt5}}{2} ≈ 0.25...")
- 02:24, 23 April 2023 Small icosagram (hist | edit) [1,288 bytes] Username5243 (talk | contribs) (Created page with "{{Infobox polytope |image = |off = |dim = 2 |type=Regular |obsa = Sig |edges = 20 |vertices = 20 |verf = dyad, length {{radic|2+{{radic|(5-{{radic|5}})/2}}}} |schlafli = {20/3} |coxeter = x20/3o |army=Ic, edge length <math>\frac{-3+\sqrt5+2\sqrt{5-2\sqrt5}}{2}</math> |symmetry = I<sub>2</sub>(20), order 40 |circum = <math>\sqrt{3-\sqrt5+\sqrt{\frac{25-11\sqrt5}{2}}} ≈ 1.10134</math> |inrad = <math>\frac{-1+\sqrt5+\sqrt{5-2\sqrt5}}{...")
- 20:21, 22 April 2023 Configuration (hist | edit) [4,471 bytes] Sycamore916 (talk | contribs) (Created page with "250px|thumb|The [[Grünbaum-Rigby configuration is a <math>(21_4)</math> configuration.]] '''Configurations''' are a type of incidence geometry that generalizes the idea of a polygon. Unlike abstract polytopes which generalize polygons to higher ranks but follow the diamond property, configurations are all rank 2 but generalize the diamond property. == Definition == === From first principles...")
- 17:14, 22 April 2023 Fano plane (hist | edit) [602 bytes] Sycamore916 (talk | contribs) (Created page with "{{Infobox polytope | img = File:Fano plane.svg | rank = 2 | type = Regular | edges = 7 triads | vertices = 7 | verf = Triad | dual = [[{{PAGENAME}}]] | flags = 21 | nature = Exotic | discoverer = Gino Fano | birthyear = 1892 }} The '''Fano plane''' is an exotic polygonoid and 3-configuration. == Gallery == <gallery mode=packed heights=300px> File:Heawood Levi Fano.svg|Incidence graph of the Fano plane. File:Fano_plane_Hasse_diagram.svg|Hass...")
- 17:02, 22 April 2023 Triad (hist | edit) [250 bytes] Sycamore916 (talk | contribs) (Created page with "{{Infobox polytope | rank = 1 | type = Regular | vertices = 3 | verf = Point | flags = 3 | dual = [[{{PAGENAME}}]] }} The '''triad''' is an exotic edge with 3 vertices. == See also == * 3-edge {{stub}} Category:Polytela")
- 11:08, 22 April 2023 Toroidal blend of 92 dodecahedra (hist | edit) [1,977 bytes] The New Kid (talk | contribs) (I think that's all the non-quasi-convex toroids I wanted to make pages for)
- 10:38, 22 April 2023 Toroidal blend of 8 dodecahedra (hist | edit) [2,345 bytes] The New Kid (talk | contribs) (This description of the convex hull has two possibilities; one is wrong)
- 01:56, 22 April 2023 Triamond triangular cupola section (hist | edit) [1,678 bytes] Sycamore916 (talk | contribs) (Created page with "{{Infobox polytope | img = File:Triamond J3 section.png | rank = 3 | type = Convex triamond polyhedron | faces = 2 trapezoids, 2 squares, 2 triangles | edges = 4+4+2+1 | vertices = 4+2+1 | flags = 44 | custom_measure = (minor edge length 1) | volume = <math>\frac{\sqrt{2}}{2}</math> | convex = Yes | orient = Yes | discoverer = Roger Kaufman }} The '''{{lc:{{PAGENAME}}}}''' is a convex triamond polyhedron. It can be formed by blending two square...")
- 23:46, 21 April 2023 Triamond antiprism 2,2 (hist | edit) [1,641 bytes] Sycamore916 (talk | contribs) (Created page with "{{Infobox polytope | rank = 3 | type = Convex triamond polyhedron | img = File:Triamond antiprism 2,2.png | faces = 1 square, 2 trapezoids, 2 triangles | custom_measure = (minor edge length 1) | pieces = 5 | volume = <math>\dfrac{\sqrt{2}}{3}</math> | surface = <math>2\sqrt{3}+1</math> | edges = 1+2+2+4 | vertices = 2+4 | euler = 2 | flags = 36 | convex = Yes | orient = Yes | discoverer = Roger Kaufman }} The '''{{lc:{{PAGENAME}}}}''' is a convex triamo...")
- 16:56, 21 April 2023 Triamond stretched octahedron (hist | edit) [1,182 bytes] Sycamore918 (talk | contribs) (Created page with "{{Infobox polytope | rank = 3 | img = File:Triamond extended octahedron.png | type = Convex triamond polyhedron | faces = 4 triangles, 4 trapezoids | custom_measure = (minor edge length 1) | volume = <math>\frac{9+4\sqrt{2}}{12}</math> | surface = <math>4\sqrt{3}</math> | edges = 8+2+2+2 | vertices = 4+4 | euler = 2 | flags = 56 | orient = Yes | convex = Yes | discoverer = Roger Kaufman }} The '''triamond stretched octahedron''' is a convex triamond polyhed...")
- 17:42, 20 April 2023 11-cell (hist | edit) [880 bytes] Sycamore916 (talk | contribs) (Created page with "{{Infobox polytope | img = File:Hemi-icosahedron coloured.svg | rank = 3 | type = Regular | schlafli = <math>\{\{3,5\}_5,\{5,3\}_5\}</math> | stype = {{Schlink|3|5|3}} | cells = 11 {{p|hemiicosahedr}} | faces = 55 | edges = 55 | vertices = 11 | verf = Hemiicosahedron | euler = 0 | flags = 660 | dual = '''{{PAGENAME}}''' | orient = No | discoverer = Branko Grünbaum | birthyear = 1977 | symmetry = L<sub>2</sub>(11) }} The '''11-cell''', or '''hendec...")
- 08:08, 20 April 2023 Toroidal blend of 38 octahedra (hist | edit) [1,696 bytes] The New Kid (talk | contribs) (Created page with "{{Infobox polytope |image = Toroid 38oct.png |dim = 3 |type = Stewart toroid |faces = 8+8+24+24+24+24+48+48 triangles |edges = 24+24+24+24+24+48+48+48+48 |vertices = 6+6+24+24+24 |verf = 6 squares, edge length 1 |verf2 = 6 (3.3.3)<sup>4</sup> |verf3 = 24 (3.3.3)<sup>2</sup> |verf4 = 24 (3.3.3.3)<sup>2</sup> (reflection-symmetric) |verf5 = 24 (3.3.3.3)<sup>2</sup> (rectangular-symmetric) |volume = <math>\frac{38\sqrt2}{3} ≈ 17.91337</math> |density = 0 |flag...")
- 07:36, 20 April 2023 Toroidal blend of 8 octahedra (hist | edit) [3,290 bytes] The New Kid (talk | contribs) (I probably misused the verf notation. Also, dihedrals are just multiples of the oct's dihedral, I don't think I need to include them)
- 03:28, 20 April 2023 Blend of small rhombicosidodecahedron and small rhombidodecahedron (hist | edit) [1,959 bytes] The New Kid (talk | contribs) (Created page with "{{Infobox polytope |img=Blend of sird and srid.png |dim = 3 |type=Orbiform |faces = 20 triangles, 48 squares, 12 pentagons, 12 decagons |edges = 24+48+48+96 |vertices = 24+24+48 |verf = 12+24 isosceles trapezoids, edge lengths 1, {{radic|2}}, (1+{{radic|5}})/2, {{radic|2}} |verf2 = 12+24 butterflies, edge lengths {{radic|2}} and {{radic|(5+{{radic|5}})/2}} |verf3 = 24 (3.4.5.10.4.10) |circum = <math>\frac{\sqrt{11+4\sqrt5}}{2} \appro...")
- 02:22, 20 April 2023 Great altersquare duoantiprismoid (hist | edit) [1,796 bytes] Geometer 2 (talk | contribs) (Created page) Tag: Visual edit
- 02:18, 20 April 2023 Small altersquare duoantiprismoid (hist | edit) [1,816 bytes] Geometer 2 (talk | contribs) (Created page) Tag: Visual edit
- 02:08, 20 April 2023 Blend of 2 small rhombidodecahedra (hist | edit) [1,542 bytes] The New Kid (talk | contribs) (Created page with "{{Infobox polytope |img=2-sird.png |off=2-sird.off |dim = 3 |type=Orbiform |faces = 48 squares, 24 decagons |edges = 24+48+48+96 |vertices = 24+24+48 |verf = 24+48 butterflies, edge lengths {{radic|2}} and {{radic|(5+{{radic|5}})/2}} |verf2 = 24 (4.10.10)<sup>2</sup> |circum = <math>\frac{\sqrt{11+4\sqrt5}}{2} \approx 2.23295</math> |pieces = 600 |loc = 79 |conjugate = Blend of 2 great rhombidodecahedra |core = Cube, edge length {{radic|...")