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单词 Johnson solids
释义

Johnson solids

中文百科

约翰逊多面体 Johnson solid

(重定向自Johnson solids)
J37:异相双四角台塔柱是唯一一个点正的:每个顶点都是三个正方形和一个等边三角形。
J92:三角广底球形屋根丸塔是唯一一个拥有3,4,5,6边形面的
J6:正五角丸塔,它是半正多面体截半二十面体的一半
J5:正五角台塔

Johnson多面体,有译作约翰逊多面体庄逊多面体,是指正多面体、半正多面体、柱体、反角柱之外,所有由正多边形面组成的凸多面体。这些立体由詹森·诺曼(Norman Johnson)在1966年命名;1969年,查加勒·维克托(Виктор Абрамович Залгаллер)证明只有92个这样的立体。

英语百科

Johnson solid 约翰逊多面体

(重定向自Johnson solids)
The elongated square gyrobicupola (J37), a Johnson solid
This 24 equilateral triangle example is not a Johnson solid because it is not convex. (This is actually a stellation, the only one possible for the octahedron.)
This 24-square example is not a Johnson solid because it is not strictly convex (has 180° dihedral angles.)

In geometry, a Johnson solid is a strictly convex polyhedron, which is not uniform (i.e., not a Platonic solid, Archimedean solid, prism or antiprism), and each face of which is a regular polygon. There is no requirement that each face must be the same polygon, or that the same polygons join around each vertex. An example of a Johnson solid is the square-based pyramid with equilateral sides (J1); it has 1 square face and 4 triangular faces.

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更新时间:2025/6/19 17:57:02