Bilbirothawroid (EntityClass, 12)

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A bilbirothawroid, bilbiro/thawro polytope or BT polytope is a crown jewel CRF polytope of at least four dimensions containing bilbiro and/or thawro elements.

D4.3.1castellated rhodoperihedral prismFebruary 4, 2014 by QuickfurAn unusual prism-like CRF consisting of two parallel rhodoperihedra sandwiching 30 bilunabirotundae, 40 tetrahedra, and 24 pentagonal pyramids.
D4.3.2castellated rhodopantohedral prismstudent91A Stott-expanded variant of D4.3.1 consisting of two parallel rhodopantohedra, 30 bilunabirotundae, 40 triangular prisms, 24 pentagonal cupolae, and 72 pentagonal prisms.
D4.4triangular hebesphenorotundaeic rhombochoron (or J92-rhombochoron)February 6, 2014 by QuickfurContains four triangular hebesphenorotundae (J92) cells at 60° and 120° dichoral angles to each other, 6 metabidiminished icosahedra (J62), 6 triangular prisms, 24 pentagonal pyramids, 30 square pyramids, and 12 tetrahedra. Based on a suggestion given by student91 after a previous failed attempt to construct a CRF with J92 cells
D4.4.1tetraaugmented triangular hebesphenorotundaeic rhombochoronMarch 21, 2014 by QuickfurAugmented form of D4.4.
D4.4.2none yetMarch 23, 2014 by student91Diminishing of D4.4.1, such that six bilbiro's and two thawro's occur. It's structure was determined by Quickfur.
D4.5.1diminished triacontasphenorotunda (tentative name)February 13, 2014 by student91 and KlitzingBased on an idea by Quickfur that a CRF with J92 cells might exist as a modified diminishing of the rectified 120-cell. Has 30 tetrahedra, 60 square pyramids, 30 triangular prisms, 12 pentagonal cupolae, 12 pentagonal rotundae, 1 rhodopantohedron, 1 truncated dodecahedron, and 20 J92's, for a total of 166 cells.
D4.5.2triacontasphenorotunda (tentative name)February 13, 2014 by student91Discovered at the same time as D4.5.1, the non-diminished form has 70 tets + 20 J92's + 13 ids + 12 pecues + 60 squippies + 30 trips + 1 grid.
D4.5.3none yetFebruary 15, 2014 by QuickfurA related CRF constructed from the remainder of the rectified 120-cell after the above modified diminishing, which contains 40 J92's, 24 decagonal prisms, 24 pentagonal rotundae, 180 square pyramids, 220 tetrahedra, 30 rhodomesohedra, and two rhodopantohedra.
D4.5.4none yetFebruary 15, 2014 by Marek14A "squashed" version of the previous CRF, in which the 30 rhodomesohedra are replaced with bilunabirotundae (J91). This was confirmed to be CRF by Quickfur. It has 2 rhodopantohedra, 40 J92's, 30 J91's, 36 decagonal prisms, and 240 square pyramids. It is the first known crown jewel that contains two 3D crown jewels as cells, the bilunabirotunda (J91), and the triangular hebesphenorotunda (J92).
D4.6none yetFebruary 18, 2014 by student91A CRF containing 30 J91 cells derived from the hydrocantichoron o5x3o3x. This CRF was successfully constructed by Quickfur on February 20, 2014 and verified to be CRF.
D4.7none yetFebruary 24, 2014 by student91An octa-diminishing of a modified rectified 600-cell (diminished) tristratic cap, containing 8 J92 lacing an icosidodecahedron and a truncated icosahedron on parallel hyperplanes.
none yetFebruary 25, 2014 by QuickfurA CRF made from a tetrahedron-centered patch of the rectified 120-cell's surface, with modifications that create 4 J92 cells, 4 J91 cells, 4 tridiminished icosahedra (J63), and an assortment of other cells.
D4.8.2none yetFebruary 26, 2014 by student5A related CRF made from a truncated tetrahedron surrounded by four J92's (joined at the hexagonal faces), and attached to the same configuration of 1+4 octahedra and 4 J91's on the other side, just like D4.8.
D4.8.3none yetMarch 9, 2014 by student91A related CRF to D4.8, where the configuration of 4 J91 cells is replaced by 4 J92's surrounding an octahedron, with the gaps filled by 4 tridiminished icosahedra (J63) and some number of square pyramids and pentagonal pyramids.
D4.8.4none yetMarch 10, 2014 by QuickfurA CRF formed by joining together the halves of D4.8.2 and D4.8.3 that aren't present in D4.8.1 at their skew polyhedron ends.
D4.9.0none yetFebruary 22, 2014 by student91A compressed rectified 600-cell, wherein the vertex layers of the latter between two embedded truncated dodecahedra are deleted and the rest of the polytope compressed together. Parent of a family of related CRFs. For the further CRF's, you delete one or more decagon-decagon edges of the truncated dodecahedron to create J91 cells.
D4.9.1none yetFebruary 22 2014, by student91One of the family described above. It is constructed by deleting the decagon-decagon edges such that the resulting polytope gets pyritohedral symmetry.
D4.9.2none yetFebruary 22 2014, by student91Another one of the family described above. this one has it's decagon-decagon edges deleted in a way that produces pentagonal antiprismatic symmetry. This is the maximal possible diminishing of decagon-decagon edges.
D4.10none yetMarch 11 2014, by QuickfurA CRF with tetrahedral symmetry, 12 J91's surrounding a pair of antipodal tetrahedra, and 8 J92's, having an arrangement approximating 16-cell symmetry.

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