WordNet

lying away from the median and sagittal plane of a body; "lateral lemniscus"
situated at or extending to the side; "the lateral branches of a tree"; "shot out sidelong boughs"- Tennyson (同)sidelong
having eleven sides
having twelve sides
having ten sides
take sides for or against; "Who are you widing with?"; "I"m siding against the current candidate"
an extended outer surface of an object; "he turned the box over to examine the bottom side"; "they painted all four sides of the house"
a surface forming part of the outside of an object; "he examined all sides of the crystal"; "dew dripped from the face of the leaf" (同)face
an opinion that is held in opposition to another in an argument or dispute; "there are two sides to every question" (同)position
a lengthwise dressed half of an animals carcass used for food (同)side of meat
a family line of descent; "he gets his brains from his fathers side"
a line segment forming part of the perimeter of a plane figure; "the hypotenuse of a right triangle is always the longest side"
a place within a region identified relative to a center or reference location; "they always sat on the right side of the church"; "he never left my side"
an aspect of something (as contrasted with some other implied aspect); "he was on the heavy side"; "he is on the purchasing side of the business"; "it brought out his better side"
either the left or right half of a body; "he had a pain in his side"
one of two or more contesting groups; "the Confederate side was prepared to attack"
located on a side; "side fences"; "the side porch"

PrepTutorEJDIC

横の,側面の;横からの / (音声が)側音の / 側面,(道路の)側溝(そっこう) / 側音(英語の[1]など)
(物体)『面』 / (物体の)『側面』,わき / (紙・レコードなど平らな物の)『面』 / (中心線・分離線から見た)『片側』 / (中心部分から見て)…『側』 / (人間・動物の体の右または左の)『側面』,(特に)横腹,わき腹 / 《単随形で》(人の)『そば』,わき / (物の)端,へり;(図形の)辺 / (競技・争いなどの一方の)『側』,味方 / (事柄の持っている)一面,局面 / (父方または母方の)血統,…方(かた) / 側部の,側面の,わきの / 側部(側面)からの(への) / 二次的な,従の / 〈建物など〉‘に'側面を付ける / (…に賛成の(反対の))側につく《+『with(against)』+『名』》

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出典(authority):フリー百科事典『ウィキペディア（Wikipedia）』「2015/03/27 15:15:06」(JST)

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Snub icosidodecadodecahedron

Type	Uniform star polyhedron
Elements	F = 104, E = 180 V = 60 (χ = −16)
Faces by sides	(20+60){3}+12{5}+12{⁵/₂}
Wythoff symbol	\|⁵/₃ 3 5
Symmetry group	I, [5,3]⁺, 532
Index references	U₄₆, C₅₈, W₁₁₂
Dual polyhedron	Medial hexagonal hexecontahedron
Vertex figure	3.3.3.5.3.⁵/₃
Bowers acronym	Sided

In geometry, the snub icosidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U₄₆.

Cartesian coordinates

Cartesian coordinates for the vertices of a snub icosidodecadodecahedron are all the even permutations of

(±2α, ±2γ, ±2β),

(±(α+β/τ+γτ), ±(-ατ+β+γ/τ), ±(α/τ+βτ-γ)),

(±(-α/τ+βτ+γ), ±(-α+β/τ-γτ), ±(ατ+β-γ/τ)),

(±(-α/τ+βτ-γ), ±(α-β/τ-γτ), ±(ατ+β+γ/τ)) and

(±(α+β/τ-γτ), ±(ατ-β+γ/τ), ±(α/τ+βτ+γ)),

with an even number of plus signs, where

α = ρ+1,

β = τ²ρ²+τ²ρ+τ,

γ = ρ²+τρ,

and where τ = (1+√5)/2 is the golden mean and ρ is the real solution to ρ³=ρ+1, or approximately 1.3247180. ρ is called the plastic constant. Taking the odd permutations of the above coordinates with an odd number of plus signs gives another form, the enantiomorph of the other one.

Related polyhedral

Medial hexagonal hexecontahedron

Medial hexagonal hexecontahedron

Type	Star polyhedron
Face
Elements	F = 60, E = 180 V = 104 (χ = −16)
Symmetry group	I, [5,3]⁺, 532
Index references	DU₄₆
dual polyhedron	Snub icosidodecadodecahedron

The medial hexagonal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform snub icosidodecadodecahedron.

References

Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 730208

External links

Weisstein, Eric W., "Snub icosidodecadodecahedron", MathWorld.
Weisstein, Eric W., "Medial hexagonal hexecontahedron", MathWorld.

This polyhedron-related article is a stub. You can help Wikipedia by expanding it.

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