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RECTIFIED 8-SIMPLEXES

  • Rectified 8-simplexes
  • eight-dimensional geometry, a rectified 8-simplex is a convex uniform 8-polytope, being a rectification of the regular 8-simplex. There are unique 3 degrees

    Rectified 8-simplexes

    Rectified 8-simplexes

    Rectified_8-simplexes

  • Truncated 8-simplexes
  • eight-dimensional geometry, a truncated 8-simplex is a convex uniform 8-polytope, being a truncation of the regular 8-simplex. There are four unique degrees

    Truncated 8-simplexes

    Truncated 8-simplexes

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

    it as S1 7. Rectified octaexon (Acronym: roc) (Jonathan Bowers) The vertices of the rectified 7-simplex can be most simply positioned in 8-space as permutations

    Rectified 7-simplexes

    Rectified 7-simplexes

    Rectified_7-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 10-simplexes
  • 5-cell centers of the 10-simplex. The rectified 10-simplex is the vertex figure of the 11-demicube. Rectified hendecaxennon (acronym: ru) (Jonathan Bowers)

    Rectified 10-simplexes

    Rectified 10-simplexes

    Rectified_10-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

  • 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

  • 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

  • Cantic 8-cube
  • Uniform 8-polytope

    eight-dimensional geometry, a cantic 8-cube or truncated 8-demicube is a uniform 8-polytope, being a truncation of the 8-demicube. Truncated demiocteract

    Cantic 8-cube

    Cantic 8-cube

    Cantic_8-cube

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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-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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • 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

  • Uniform 7-polytope
  • Seven-dimensional geometric object

    Coxeter-Dynkin diagrams: The A7 family has symmetry of order 40320 (8 factorial). There are 71 (64 + 8 − 1) forms based on all permutations of the Coxeter-Dynkin

    Uniform 7-polytope

    Uniform 7-polytope

    Uniform_7-polytope

  • Complex polytope
  • Generalization of a polytope in real space

    and quasiregular form as . All elements are simplexes. Real {3,4}, or , with 6 vertices, 12 edges, and 8 faces 2{3}2{4}3, or , with 9 vertices, 27 edges

    Complex polytope

    Complex_polytope

  • Truncated 5-cell
  • Beauty of Geometry: Twelve Essays, Dover Publications, 1999, ISBN 0-486-40919-8 p. 88 (Chapter 5: Regular Skew Polyhedra in three and four dimensions and

    Truncated 5-cell

    Truncated 5-cell

    Truncated_5-cell

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  • Gabriel
  • Surname or Lastname

    English, Scottish, French, German, Spanish, Portuguese, and Jewish

    Gabriel

    English, Scottish, French, German, Spanish, Portuguese, and Jewish : from the Hebrew personal name Gavriel ‘God has given me strength’. This was borne by an archangel in the Bible (Daniel 8:16 and 9:21), who in the New Testament announced the impending birth of Jesus to the Virgin Mary (Luke 1:26–38). It has been a comparatively popular personal name in all parts of Europe, among both Christians and Jews, during the Middle Ages and since. Compare Michael and Raphael.

    Gabriel

  • CANDACE
  • Female

    English

    CANDACE

    Latin form of Greek Kandake, which is of foreign origin, CANDACE means "prince of servants." In Acts 8:27 of the New Testament bible, a queen of Ethiopia is referred to by this name. But it was not actually a personal name, but the name of a dynasty of Ethiopian queens. 

    CANDACE

  • Maudlin
  • Surname or Lastname

    English

    Maudlin

    English : from the Middle English vernacular form, Maudeleyn, of the New Testament Greek personal name Magdalēnē. This is a byname, meaning ‘woman from Magdala’ (a village on the Sea of Galilee, deriving its name from Hebrew migdal ‘tower’), denoting the woman cured of evil spirits by Jesus (Luke 8:2), who later became a faithful follower. In Christian folk belief she was generally identified with the repentant sinner who washed Christ’s feet with her tears in Luke 7; hence the name came to be used as a byname for a prostitute, also a tearful woman. The popularity of the personal name increased with the supposed discovery of her relics in the 13th century.

    Maudlin

  • 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

  • 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

  • Ekastaka
  • Girl/Female

    Hindu, Indian

    Ekastaka

    Collection of 8

    Ekastaka

  • SHIN
  • Male

    Japanese

    SHIN

    (1-晋, 2-信, 3-紳, 4-心, 5-慎, 6-新, 7-進, 8-真) Japanese name SHIN means 1) "advancing," 2) "belief," 3) "gentleman," 4) "heart," 5) "humble," 6) "new," 7) "progressive," and 8) "true." Compare with another form of Shin.

    SHIN

  • Horace
  • Surname or Lastname

    English

    Horace

    English : from the personal name Horace, Latin Horatius, a Roman family name of unknown origin, associated chiefly with the name of the poet Quintus Horatius Flaccus (65–8 bc).

    Horace

  • KANDAKE
  • Female

    Greek

    KANDAKE

    (Κανδάκη) Greek name of foreign origin, KANDAKE means "prince of servants." In Acts 8:27 of the New Testament bible, a queen of Ethiopia is referred to by this name. But it was not actually a personal name, but the name of a dynasty of Ethiopian queens. 

    KANDAKE

  • SATORU
  • Male

    Japanese

    SATORU

    (1-暁, 2-悟, 3-聡, 4-知, 5-覚, 6-諭, 7-了, 8-智) Japanese name SATORU means 1) "daybreak," 2) "enlightened," 3) "fast learner," 4) "knowledgeable," 5) "perceptive," 6) "persuasive," 7) "understanding," or 8) "wise."

    SATORU

  • Manson
  • Surname or Lastname

    Scottish (common in the Northern Isles)

    Manson

    Scottish (common in the Northern Isles) : patronymic from the personal name Magnus.English : patronymic from the Middle English nickname or byname Mann.Jewish (Ashkenazic) : patronymic from Man 8.

    Manson

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RECTIFIED 8-SIMPLEXES

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RECTIFIED 8-SIMPLEXES

  • Immediately
  • adv.

    As soon as. Cf. Directly, 8, Note.

  • Persona
  • n.

    Same as Person, n., 8.

  • Square
  • n.

    The product of a number or quantity multiplied by itself; thus, 64 is the square of 8, for 8 / 8 = 64; the square of a + b is a2 + 2ab + b2.

  • Rectifier
  • n.

    One who, or that which, rectifies.

  • Babylonish
  • n.

    Pertaining to the Babylon of Revelation xiv. 8.

  • Rectifiable
  • a.

    Capable of being rectified; as, a rectifiable mistake.

  • Blessed
  • a.

    Beatified.

  • Tomcod
  • n.

    The jack. See 2d Jack, 8. (c).

  • English
  • a.

    See 1st Bond, n., 8.

  • Charge
  • v. t.

    A bearing. See Bearing, n., 8.

  • Pastorale
  • n.

    A composition in a soft, rural style, generally in 6-8 or 12-8 time.

  • Rectifier
  • n.

    Specifically: (a) (Naut.) An instrument used for determining and rectifying the variations of the compass on board ship. (b) (Chem.) A rectificator.

  • High-proof
  • a.

    Highly rectified; very strongly alcoholic; as, high-proof spirits.

  • Tailing
  • n.

    Same as Tail, n., 8 (a).

  • Cold
  • n.

    Having a bluish effect. Cf. Warm, 8.

  • Merou
  • n.

    See Jack, 8 (c).

  • Rectified
  • imp. & p. p.

    of Rectify

  • Webeye
  • n.

    See Web, n., 8.

  • Rectificator
  • n.

    That which rectifies or refines; esp., a part of a distilling apparatus in which the more volatile portions are separated from the less volatile by the process of evaporation and condensation; a rectifier.

  • Protocol
  • n.

    A convention not formally ratified.