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RECTIFIED 10-SIMPLEXES

  • Rectified 10-simplexes
  • ten-dimensional geometry, a rectified 10-simplex is a convex uniform 10-polytope, being a rectification of the regular 10-simplex. These polytopes are

    Rectified 10-simplexes

    Rectified 10-simplexes

    Rectified_10-simplexes

  • Rectified 7-simplexes
  • Convex uniform 7-polytope in seven-dimensional geometry

    semiregular polytope, labeling it as S1 7. Rectified octaexon (Acronym: roc) (Jonathan Bowers) The vertices of the rectified 7-simplex can be most simply positioned

    Rectified 7-simplexes

    Rectified 7-simplexes

    Rectified_7-simplexes

  • Rectified 8-simplexes
  • In eight-dimensional geometry, a rectified 8-simplex is a convex uniform 8-polytope, being a rectification of the regular 8-simplex. There are unique

    Rectified 8-simplexes

    Rectified 8-simplexes

    Rectified_8-simplexes

  • Rectified 6-simplexes
  • Coxeter-Dynkin diagram, shown as . Rectified heptapeton (Acronym: ril) (Jonathan Bowers) The vertices of the rectified 6-simplex can be most simply positioned

    Rectified 6-simplexes

    Rectified 6-simplexes

    Rectified_6-simplexes

  • Rectified 9-simplexes
  • Type of geometric object

    the 5-cell centers of the 9-simplex. The rectified 9-simplex is the vertex figure of the 10-demicube. Rectified decayotton (reday) (Jonathan Bowers) The

    Rectified 9-simplexes

    Rectified 9-simplexes

    Rectified_9-simplexes

  • Rectified 5-simplexes
  • semiregular polytope, labeling it as S1 5. Rectified hexateron (Acronym: rix) (Jonathan Bowers) The vertices of the rectified 5-simplex can be more simply positioned

    Rectified 5-simplexes

    Rectified 5-simplexes

    Rectified_5-simplexes

  • 2 31 polytope
  • Uniform Polytope

    (tetrahedra), 16128 4-faces (4-simplexes), 4788 5-faces (756 pentacrosses, and 4032 5-simplexes), 632 6-faces (576 6-simplexes and 56 221). Its vertex figure

    2 31 polytope

    2 31 polytope

    2_31_polytope

  • 4 21 polytope
  • Polytope in 8-dimensional geometry

    that are facets of 7-simplexes. Since every 7-orthoplex has 128 (27) 6-simplex facets, half of which are not incident to 7-simplexes, the 421 polytope has

    4 21 polytope

    4 21 polytope

    4_21_polytope

  • Pentellated 6-simplexes
  • Uniform 6-polytope

    constructed from 14 snub 5-simplexes, 42 snub 5-cell antiprisms, 70 3-s{3,4} duoantiprisms, and 2520 irregular 5-simplexes filling the gaps at the deleted

    Pentellated 6-simplexes

    Pentellated 6-simplexes

    Pentellated_6-simplexes

  • 2 21 polytope
  • Uniform 6-polytope

    simplexes and orthoplexes. The 221 polytope is fourth in dimensional series 2k1. The 221 polytope is second in dimensional series 22k. The rectified 221

    2 21 polytope

    2 21 polytope

    2_21_polytope

  • Demihypercube
  • Polytope constructed from alternation of a hypercube

    vertices of {4,3,...,3}. The vertex figures of demihypercubes are rectified n-simplexes. They are represented by Coxeter-Dynkin diagrams of three constructive

    Demihypercube

    Demihypercube

    Demihypercube

  • 3 21 polytope
  • Uniform 7-dimensional polytope

    3-sphere tiling, a tetrahedral hosohedron.) Rectified hecatonicosihexa-pentacosiheptacontahexa-exon as a rectified 126-576 facetted polyexon (acronym: ranq)

    3 21 polytope

    3 21 polytope

    3_21_polytope

  • Rectified 5-cell
  • Uniform polychoron

    containing all simplexes and orthoplexes (tetrahedrons and octahedrons in the case of the rectified 5-cell). The Coxeter symbol for the rectified 5-cell is

    Rectified 5-cell

    Rectified 5-cell

    Rectified_5-cell

  • Cantic 7-cube
  • truncated 6-simplexes 64 rectified 6-simplexes 5-faces 84 truncated 5-demicubes 448 truncated 5-simplexes 448 rectified 5-simplexes 448 5-simplexes 4-faces

    Cantic 7-cube

    Cantic 7-cube

    Cantic_7-cube

  • 5-cell
  • Four-dimensional analogue of the tetrahedron

    face-to-face) with the two opposite vertices centered. In the case of simplexes such as the 5-cell, certain irregular forms are in some sense more fundamental

    5-cell

    5-cell

    5-cell

  • Truncated 8-simplexes
  • 8-simplex Truncated 8-simplex Rectified 8-simplex Quadritruncated 8-simplex Tritruncated 8-simplex Bitruncated 8-simplex Orthogonal projections in A8

    Truncated 8-simplexes

    Truncated 8-simplexes

    Truncated_8-simplexes

  • 5-simplex honeycomb
  • pentacomb). Each vertex is shared by 12 5-simplexes, 30 rectified 5-simplexes, and 20 birectified 5-simplexes. These facet types occur in proportions of

    5-simplex honeycomb

    5-simplex_honeycomb

  • Hexicated 7-simplexes
  • Type of 7-polytope

    8-orthoplex, . A second construction in 8-space, from the center of a rectified 8-orthoplex is given by coordinate permutations of: (1,-1,0,0,0,0,0,0)

    Hexicated 7-simplexes

    Hexicated 7-simplexes

    Hexicated_7-simplexes

  • Cantic 8-cube
  • Uniform 8-polytope

    truncated 7-simplexes 128 rectified 7-simplexes 6-faces 112 truncated 6-demicubes 1024 truncated 6-simplexes 1024 rectified 6-simplexes 1024 6-simplexes 5-faces

    Cantic 8-cube

    Cantic 8-cube

    Cantic_8-cube

  • 5-simplex
  • Regular 5-polytope

    Dih6 or simple rotation group [6,2]+, order 12. The compound of two 5-simplexes in dual configurations can be seen in this A6 Coxeter plane projection

    5-simplex

    5-simplex

  • Uniform k 21 polytope
  • Geometric object

    ) The family starts uniquely as 6-polytopes. The triangular prism and rectified 5-cell are included at the beginning for completeness. The demipenteract

    Uniform k 21 polytope

    Uniform_k_21_polytope

  • Cantellated 5-simplexes
  • cuboctahedra and 60 triangular prisms), and 27 4-faces (6 cantellated 5-cell, 6 rectified 5-cells, and 15 tetrahedral prisms). Cantellated hexateron Small rhombated

    Cantellated 5-simplexes

    Cantellated 5-simplexes

    Cantellated_5-simplexes

  • Heptellated 8-simplexes
  • heptellated 9-orthoplex. A second construction in 9-space, from the center of a rectified 9-orthoplex is given by coordinate permutations of: (1,-1,0,0,0,0,0,0

    Heptellated 8-simplexes

    Heptellated 8-simplexes

    Heptellated_8-simplexes

  • Stericated 5-simplexes
  • stericated 6-orthoplex. A second construction in 6-space, from the center of a rectified 6-orthoplex is given by coordinate permutations of: (1,-1,0,0,0,0) The

    Stericated 5-simplexes

    Stericated 5-simplexes

    Stericated_5-simplexes

  • Truncated 5-cell
  • truncated 5-cell, truncated pentachoron or truncated 4-simplex is bounded by 10 cells: 5 tetrahedra, and 5 truncated tetrahedra. Each vertex is surrounded

    Truncated 5-cell

    Truncated 5-cell

    Truncated_5-cell

  • Uniform 7-polytope
  • Seven-dimensional geometric object

    632 4788 16128 20160 10080 2016 126 2 Rectified 231 (rolaq) 758 10332 47880 100800 90720 30240 2016 3 Rectified 132 (rolin) 758 12348 72072 191520 241920

    Uniform 7-polytope

    Uniform 7-polytope

    Uniform_7-polytope

  • E9 honeycomb
  • vertex figure. All facets of these polytopes are regular polytopes, namely simplexes and orthoplexes. The 261 honeycomb is composed of 251 9-honeycomb and

    E9 honeycomb

    E9_honeycomb

  • 5-demicube
  • Regular 5-polytope

    series in 1900 as containing all regular polytope facets, containing all simplexes and orthoplexes (5-simplices and 5-orthoplexes in the case of the 5-demicube)

    5-demicube

    5-demicube

    5-demicube

  • Triangular prism
  • Prism with a 3-sided base

    series in 1900 as containing all regular polytope facets, containing all simplexes and orthoplexes (equilateral triangles and squares in the case of the

    Triangular prism

    Triangular prism

    Triangular_prism

  • 120-cell
  • Four-dimensional analog of the dodecahedron

    unless it is all 5 vertices. It is impossible to rotate two concentric 4-simplexes with respect to each other such that some, but not all, of their vertices

    120-cell

    120-cell

    120-cell

  • Complex polytope
  • Generalization of a polytope in real space

    construction as and quasiregular form as . All elements are simplexes. Real {3,3,3,4}, , with 10 vertices, 40 edges, 80 faces, 80 cells, and 32 4-faces 2{3}2{3}2{3}2{4}3

    Complex polytope

    Complex_polytope

AI & ChatGPT searchs for online references containing RECTIFIED 10-SIMPLEXES

RECTIFIED 10-SIMPLEXES

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RECTIFIED 10-SIMPLEXES

  • Michael
  • Surname or Lastname

    English, German, Dutch, and Jewish

    Michael

    English, German, Dutch, and Jewish : from the personal name Michael, ultimately from Hebrew Micha-el ‘Who is like God?’. This was borne by various minor Biblical characters and by one of the archangels, the protector of Israel (Daniel 10:13, 12:1; Rev. 12:7). In Christian tradition, Michael was regarded as the warrior archangel, conqueror of Satan, and the personal name was correspondingly popular throughout Europe, especially in knightly and military families. In English-speaking countries, this surname is also found as an Anglicized form of several Greek surnames having Michael as their root, for example Papamichaelis ‘Michael the priest’ and patronymics such as Michaelopoulos.

    Michael

  • Lakhwinder
  • Girl/Female

    Indian, Punjabi, Sikh

    Lakhwinder

    Loved by Many; Ruler of 10 Lakh People

    Lakhwinder

  • AZAZEL
  • Male

    English

    AZAZEL

    Anglicized form of Hebrew Aza'zel, AZAZEL means "entire removal" and "scapegoat." In the bible, this word is found in the law of the day of atonement (Leviticus 16:8, 10, 26). It refers to a goat used for sacrifice for the sins of the people. In modern times, Azazel was interpreted as a Satanic, goat-like demon. The name has even been used for the "Angel of Death."

    AZAZEL

  • Cambridge
  • Surname or Lastname

    Irish

    Cambridge

    Irish : reduced form of McCambridge.English : habitational name for someone from either of two places called Cambridge: one in Gloucestershire, the other in Cambridgeshire (the university city). Until the late 14th century the latter was known as Cantebrigie ‘bridge on the (river) Granta’, from a Celtic river name meaning ‘marshy river’. Under Norman influence Granta- became Cam-. It seems likely, therefore, that the surname derives mainly from the much smaller place in Gloucestershire, recorded as Cambrigga (1200–10), and named for the Cam, a Celtic river name meaning ‘crooked’, ‘winding’.

    Cambridge

  • Bartholomew
  • Surname or Lastname

    English

    Bartholomew

    English : from a medieval personal name, Latin Bart(h)olomaeus, from the Aramaic patronymic bar-Talmay ‘son of Talmay’, meaning ‘having many furrows’, i.e. rich in land. This was an extremely popular personal name in Christian Europe, with innumerable vernacular derivatives. It derived its popularity from the apostle St. Bartholomew (Matthew 10:3), the patron saint of tanners, vintners, and butlers. As an Irish name, it has been used as an Americanized form of Mac Pharthaláin (see McFarlane).

    Bartholomew

  • AZA'ZEL
  • Male

    Hebrew

    AZA'ZEL

     (עֲזָאזֵל): Hebrew word (not name), AZA'ZEL means "entire removal" and "scapegoat." In the bible, this word is found in the law of the day of atonement (Leviticus 16:8, 10, 26). It refers to a goat used for sacrifice for the sins of the people. In modern times, Azazel was interpreted as a Satanic, goat-like demon. The name has even been used for the "Angel of Death."

    AZA'ZEL

  • Lakh
  • Girl/Female

    Sikh

    Lakh

    Hundred thousand 10 Lakh = 1 million

    Lakh

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RECTIFIED 10-SIMPLEXES

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