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golden rhombus : ウィキペディア英語版
golden rhombus

In geometry, a golden rhombus is a rhombus whose diagonals are in the ratio \frac=\varphi\!, where \varphi\! is the golden ratio.
== Golden rhombohedra ==
There are two distinct convex golden rhombohedra constructed from six golden rhombi as a trigonal trapezohedron. These are sometimes called ''acute'' or ''prolate'' and the ''obtuse'' or ''oblate'' golden rhombohedron.
The rhombic triacontahedron is constructed with 30 golden rhombic faces, alternating 3 and 5 around every vertex. The dihedral angle between adjacent rhombi of the rhombic triacontahedron is 144°, which can be constructed by placing the short sides of two golden triangles back-to-back. The rhombic icosahedron is also constructed with golden rhombi.
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The nonconvex rhombic hexecontahedron can be constructed by 20 ''acute golden rhombohedra''. It also represents a stellation of the rhombic triacontahedron.
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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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