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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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
RECTIFIED 8-SIMPLEXES
RECTIFIED 8-SIMPLEXES
Surname or Lastname
English, Scottish, French, German, Spanish, Portuguese, and Jewish
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.
Female
English
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.Â
Surname or Lastname
English
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.
Male
English
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."
Male
Hebrew
 (×¢Ö²×–Ö¸×זֵל): 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."
Girl/Female
Hindu, Indian
Collection of 8
Male
Japanese
(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.
Surname or Lastname
English
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).
Female
Greek
(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.Â
Male
Japanese
(1-æš, 2-悟, 3-è¡, 4-知, 5-覚, 6-è«, 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."
Surname or Lastname
Scottish (common in the Northern Isles)
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.
RECTIFIED 8-SIMPLEXES
RECTIFIED 8-SIMPLEXES
Boy/Male
Tamil
Rudranshu | à®°à¯à®¤à¯à®°à®¨à¯à®·à¯à®‚
Boy/Male
Indian, Sanskrit
Devout; Pious
Boy/Male
Tamil
Murugesan | à®®à¯à®°à¯à®•ேஸநÂ
Boy/Male
Tamil
A legendary gem, A gem worn by Lord Vishnu
Boy/Male
Bengali, Indian
First Ray of Sun
Boy/Male
Indian, Telugu
Happiness with Entertainment
Boy/Male
Indian, Punjabi, Sanskrit, Sikh
Enchanting
Boy/Male
Dutch
Bold.
Girl/Female
Biblical
Ear of corn, stream or flood.
Boy/Male
Hindu
RECTIFIED 8-SIMPLEXES
RECTIFIED 8-SIMPLEXES
RECTIFIED 8-SIMPLEXES
RECTIFIED 8-SIMPLEXES
RECTIFIED 8-SIMPLEXES
adv.
As soon as. Cf. Directly, 8, Note.
n.
Same as Person, n., 8.
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.
n.
One who, or that which, rectifies.
n.
Pertaining to the Babylon of Revelation xiv. 8.
a.
Capable of being rectified; as, a rectifiable mistake.
a.
Beatified.
n.
The jack. See 2d Jack, 8. (c).
a.
See 1st Bond, n., 8.
v. t.
A bearing. See Bearing, n., 8.
n.
A composition in a soft, rural style, generally in 6-8 or 12-8 time.
n.
Specifically: (a) (Naut.) An instrument used for determining and rectifying the variations of the compass on board ship. (b) (Chem.) A rectificator.
a.
Highly rectified; very strongly alcoholic; as, high-proof spirits.
n.
Same as Tail, n., 8 (a).
n.
Having a bluish effect. Cf. Warm, 8.
n.
See Jack, 8 (c).
imp. & p. p.
of Rectify
n.
See Web, n., 8.
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.
n.
A convention not formally ratified.