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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
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
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
seen as facets of the rectified 6-orthoplex or birectified 6-cube respectively. This configuration matrix represents the rectified 5-simplex. The rows and
Rectified_5-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
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
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
Polytope in 8-dimensional geometry
containing all regular polytope facets, containing all simplexes and orthoplexes. The rectified 421 can be seen as a rectification of the 421 polytope
4_21_polytope
Uniform Polytope
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 is a 6-demicube
2_31_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
Uniform 8-polytope
vertices of a truncated 8-demicube centered at the origin and edge length 6√2 are coordinate permutations: (±1,±1,±3,±3,±3,±3,±3,±3) with an odd number
Cantic_8-cube
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
7-demicube. A uniform 7-polytope is vertex-transitive and constructed from uniform 6-polytope facets, and can be represented a coxeter diagram with ringed nodes
Cantic_7-cube
Uniform 7-dimensional polytope
uniform polytope. It has 56 vertices, and 702 facets: 126 311 and 576 6-simplexes. For visualization this 7-dimensional polytope is often displayed in
3_21_polytope
Geometric object
vertices at infinity.) The family starts uniquely as 6-polytopes. The triangular prism and rectified 5-cell are included at the beginning for completeness
Uniform_k_21_polytope
Weiss, Wiley-Interscience Publication, 1995, wiley.com, ISBN 978-0-471-01003-6 (Paper 22) H.S.M. Coxeter, Regular and Semi-Regular Polytopes I, [Math. Zeit
Truncated_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
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
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
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
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
Seven-dimensional geometric object
a 7-polytope is a polytope contained by 6-polytope facets. Each 5-polytope ridge being shared by exactly two 6-polytope facets. A uniform 7-polytope is
Uniform_7-polytope
positive orthant facet of the stericated 6-orthoplex. A second construction in 6-space, from the center of a rectified 6-orthoplex is given by coordinate permutations
Stericated_5-simplexes
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
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
15 cuboctahedra and 60 triangular prisms), and 27 4-faces (6 cantellated 5-cell, 6 rectified 5-cells, and 15 tetrahedral prisms). Cantellated hexateron
Cantellated_5-simplexes
Generalization of a polytope in real space
construction as 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
Complex_polytope
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
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
Weiss, Wiley-Interscience Publication, 1995, wiley.com, ISBN 978-0-471-01003-6 (Paper 22) H.S.M. Coxeter, Regular and Semi-Regular Polytopes I, [Math. Zeit
Truncated_5-cell
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RECTIFIED 6-SIMPLEXES
RECTIFIED 6-SIMPLEXES
Female
Japanese
(1-æµå, 2-æ…¶å, 3-æ¡‚å, 4-敬å, 5-å•“å, 6-åœå, 7-景å) Japanese name KEIKO means 1) "blessed, lucky child," 2) "happy child," 3) "katsura tree child," 4) "respectful child," 5) "spring child," 6) "square jewel child," or 7) "sunny child."
Surname or Lastname
English (Norman) and French
English (Norman) and French : nickname from Old French druerie ‘love’, ‘friendship’, a derivative of dru ‘lover’, ‘friend’ (see Drew 3). In Middle English the word also had the concrete meanings ‘love affair’, ‘love token’, ‘sweetheart’.English (Norman) and French : from a Germanic personal name composed of Old High German triuwa ‘truth’, ‘trust’ + rīc ‘power(ful)’.Irish (County Roscommon) : English name adopted by bearers of Gaelic Mac an Druaidh ‘son of the druid’. Compare Drew 6.
Surname or Lastname
English and Irish (of Norman origin)
English and Irish (of Norman origin) : from the Old French personal name Picot, Pigot, a pet form of Pic (see Pike 6).
Surname or Lastname
English
English : from a pet form of the personal name William.Benjamin Wilmot and his wife, with their 6-year-old son William, emigrated from England to New Haven, CT, in or before 1640.
Surname or Lastname
English
English : variant spelling of Hain 1–3.German : variant spelling of Hain 4.Jewish : variant spelling of Hain 6.
Boy/Male
Hindu, Indian, Tamil
Lord Muruga; Lord Vishnu; God with 6 Faces (Subrahmanyeswara Swamy)
Male
Japanese
(1-ç´€, 2-ä¿®, 3-ç†, 4-åŽ, 5-æ²», 6-çµ±) Japanese name OSAMU means 1) "chronicler," 2) "disciplined," 3) "logical," 4) "obtainer," 5) "to reign," 6) "ruler."
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 (East Anglia, chiefly Norfolk)
English (East Anglia, chiefly Norfolk) : occupational name for someone who mowed pasture lands to provide hay, from an agent derivative of Middle English mow(en) ‘mow’ (Old English mÄwen).Welsh : nickname from mawr ‘big’ (see Moore 6).German (Möwer) : nickname from an agent derivative of Middle High German mÅven ‘to torment, trouble, or burden’.
Male
Japanese
(1-æš, 2-æ‚Ÿ, 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."
Male
Japanese
(1-æ£, 2-é›…, 3-昌, 4-真, 5-政, 6-å°†) Unisex short form of Japanese names beginning with Masa-, MASA means 1) "correct, just," 2) "elegant, splendid" 3) "flourishing, prosperous" 4) "genuine, true," 5) "governing, political," 6) "military." Compare with another form of Masa.
Female
Japanese
(1-æ£, 2-é›…, 3-昌, 4-真, 5-政, 6-å°†) Unisex short form of Japanese names beginning with Masa-, MASA means 1) "correct, just," 2) "elegant," 3) "flourishing, prosperous" 4) "genuine, true," 5) "governing, political," 6) "military." Compare with strictly masculine Masa.
Surname or Lastname
English
English : unexplained; perhaps a variant of Tongs, itself a variant of Tong 6.Possibly an altered spelling of German Dungs, a variant of Dung.
Surname or Lastname
English
English : unexplained; possibly a respelling of Kay 6, a shortened form of Scottish and Irish McKay.Korean : There is only one Chinese character and one clan for the Kye family name. According to the Kye family genealogy, the clan was founded by a Ming Dynasty government official named Kye SÅk-son who migrated to KoryÅ and settled in today’s Suan County of Hwanghae Province. The majority of bearers of the Kye family name today live in North Korea.
Surname or Lastname
English (very common in England, especially in the south Midlands, and in Wales) and German (especially northwestern Germany)
English (very common in England, especially in the south Midlands,
and in Wales) and German (especially northwestern Germany) : patronymic
from the personal name Adam. In the U.S. this form has absorbed
many patronymics and other derivatives of Adam in languages
other than English. (For forms, see Hanks and Hodges 1988.)This American family name was borne by two early presidents of the
United States, father and son. They were descended from Henry Adams,
who settled in Braintree, MA, in 1635/6, from Barton St. David,
Somerset, England. The younger of the two presidents, John Quincy
Adams (1767–1848) derived his middle name from his maternal
grandmother’s family name (see
Female
Japanese
(1-æµ, 2-æ…¶, 3-æ¡‚, 4-敬, 5-å•“, 6-åœ, 7-景) Japanese name KEI means 1) "blessed, lucky," 2) "happy," 3) "katsura tree," 4) "respectful," 5) "spring," 6) "square jewel," or "sunny."Â
Male
Hebrew
(שָׂרָף) Hebrew name SARAPH means "burning one" or "serpent." In the bible, this is the name of a son of Shelah. It is also the name of a species of venomous serpents mentioned in Numbers 21:6, and the name of an order of six-winged angels mentioned by Isaiah who attend upon God.
Surname or Lastname
English
English : from the Middle English, Old French personal name Picot, Pigot, a pet form of Pic (see Pike 6). In Middle English, the form Piket (Old French Picquet) was also common.
Surname or Lastname
English
English : possibly from Middle English Old French personal name Pic (see Pike 6) + the diminutive suffix -in.
Female
Greek
(Θεοφάνια) Feminine form of Greek Theophanes, THEOPHANIA means "manifestation of God." This name used to be given to girls born on the Epiphany (January 6)--also called the 12th day of Christmas--which commemorates the visit of the three wise men (the Magi) to the infant Jesus.
RECTIFIED 6-SIMPLEXES
RECTIFIED 6-SIMPLEXES
RECTIFIED 6-SIMPLEXES
RECTIFIED 6-SIMPLEXES
RECTIFIED 6-SIMPLEXES
RECTIFIED 6-SIMPLEXES
RECTIFIED 6-SIMPLEXES
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