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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
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 2:2:1
5-simplex_honeycomb
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 021
Rectified_5-cell
from the center of a rectified 6-orthoplex is given by coordinate permutations of: (1,-1,0,0,0,0) The Cartesian coordinates in 5-space for the normalized
Stericated_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
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
are located in the 5-cell centers of the 10-simplex. The rectified 10-simplex is the vertex figure of the 11-demicube. Rectified hendecaxennon (acronym:
Rectified_10-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
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
Type of geometric object
9-simplex are located in the 5-cell centers of the 9-simplex. The rectified 9-simplex is the vertex figure of the 10-demicube. Rectified decayotton (reday) (Jonathan
Rectified_9-simplexes
Four-dimensional analogue of the tetrahedron
regular 5-cell is that of a triangular bipyramid (two tetrahedra joined face-to-face) with the two opposite vertices centered. In the case of simplexes such
5-cell
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 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 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 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
Regular 5-polytope
The compound of two 5-simplexes in dual configurations can be seen in this A6 Coxeter plane projection, with a red and blue 5-simplex vertices and edges
5-simplex
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
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
containing all simplexes and orthoplexes (5-simplices and 5-orthoplexes in the case of the 5-demicube). In Coxeter's notation the 5-demicube is given
5-demicube
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
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 6-polytope
facets: 72 rectified 5-simplices, and 27 rectified 5-orthoplexes and 27 5-demicubes . Its vertex figure is a rectified 5-cell prism. Rectified
2_21_polytope
8-simplex Truncated 8-simplex Rectified 8-simplex Quadritruncated 8-simplex Tritruncated 8-simplex Bitruncated 8-simplex Orthogonal projections in A8
Truncated_8-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
geometry, a truncated 5-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 5-cell. There are two degrees
Truncated_5-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
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
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
Seven-dimensional geometric object
geometry, 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
Uniform_7-polytope
Generalization of a polytope in real space
cells Regular complex 5-polytopes in C 5 {\displaystyle \mathbb {C} ^{5}} or higher exist in three families, the real simplexes and the generalized hypercube
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
RECTIFIED 5-SIMPLEXES
RECTIFIED 5-SIMPLEXES
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-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.
Male
Japanese
(1-æµ, 2-ä½³, 3-敬, 4-åœ, 5-æ…§) Japanese name KEI means 1) "blessed, lucky," 2) "excellent," 3) "respect," 4) "square jewel," or 5) "wise."
Boy/Male
Muslim
One who prays 5 times and fasts, Forever, Immortal
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."
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."
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 : variant of Wall.Swedish : ornamental name composed of the elements wall, an old spelling of vall ‘grassy bank’ + man ‘man’.German (Wallmann) : variant of Wall 4 and 5.
Surname or Lastname
English
English : variant spelling of Peak.Irish : variant of Peak 2.North German : metonymic occupational name for a spearmaker, from Middle Low German pēk ‘pike’. Compare Pike 4.Dutch : variant of Peck 4 and 5.
Surname or Lastname
English
English : occupational name for a maker or seller of hoods, from Middle English hodestre, a feminine form of Hodder.German (also Höster) : habitational name for someone from either of two places called Host (see Host 5).
Surname or Lastname
German
German : diminutive of Summer 5.English (Bedfordshire) : unexplained.
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.
Boy/Male
Hindu, Indian, Tamil
5 Head of Snake
Surname or Lastname
South German (Düll)
South German (Düll) : nickname for a stubborn man.German (Düll) : variant of Dill 5.English : unexplained.
Surname or Lastname
English
English : patronymic from Kay 5.
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
Surname or Lastname
English
English : variant spelling of Kay 4 and 5.
Surname or Lastname
English
English : nickname from Middle English dull + -ard ‘dull or stupid person’. Compare Doll 5.Irish : either an importation to Ireland of the English name or, possibly, a reduced and altered form of de la Hyde (see Dollarhide).
Surname or Lastname
English (Yorkshire)
English (Yorkshire) : unexplained.French : from a diminutive of Bard 5.Hungarian (Bárdy) : habitational name for someone from a place called Bárd in Somogy county or in Máramaros, (now Maramures in Romania).
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
A Garland of 5 Types of Flowers
RECTIFIED 5-SIMPLEXES
RECTIFIED 5-SIMPLEXES
Biblical
covenant
Boy/Male
Bengali, Hindu, Indian, Kannada, Marathi, Telugu
Understood
Girl/Female
Muslim/Islamic
A narrator of Hadith
Boy/Male
Hindu
Divine, Spiritual, Superhuman, Unique, Pure
Surname or Lastname
English (Cornwall)
English (Cornwall) : unexplained. Compare Goyne.
Girl/Female
Hindu
Good policy (mother of Dhruva)
Surname or Lastname
Czech
Czech : from a pet form of the personal names Boleslav or Bolebor.Polish (Boleń) : from a pet form of the personal name Bolesław.Variant spelling of German Bohlen.Swedish (Bolén) : ornamental name composed of an unexplained first element + the common surname suffix -én, a derivative of Latin -enius ‘descendant of’.English : variant of Bullen.
Male
English
Anglicized form of Hebrew Aryeh, ARIEH means "lion." In the bible, this is the name of an officer of king Pekahiah.Â
Boy/Male
American, Australian, British, Christian, English, German, Spanish
Variant of Gerald Rules by the Spear; Form of Gerald; Spear Warrior; Spear Ruler
Girl/Female
Biblical
Bough, weapon, armor.
RECTIFIED 5-SIMPLEXES
RECTIFIED 5-SIMPLEXES
RECTIFIED 5-SIMPLEXES
RECTIFIED 5-SIMPLEXES
RECTIFIED 5-SIMPLEXES
a.
Highly rectified; very strongly alcoholic; as, high-proof spirits.
n.
See Romance, 5.
n.
Specifically: (a) (Naut.) An instrument used for determining and rectifying the variations of the compass on board ship. (b) (Chem.) A rectificator.
a.
Capable of being rectified; as, a rectifiable mistake.
n.
Same as Relief, n., 5.
v.
See Affected, 5.
n.
See Tailing, n., 5.
n.
See Flyer, n., 5.
n.
Same as Reed, n., 5.
n.
See Relief, n., 5.
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.
See Closure, 5.
n.
One who, or that which, rectifies.
n.
Same as Gudgeon, 5.
n.
A convention not formally ratified.
n.
See Tread, n., 5.
a.
Beatified.
n.
See Camp, n., 5.
n.
See 4th Trap, 5.
imp. & p. p.
of Rectify