A geometric construction of the Tribonacci constant (AC), with compass and marked ruler, according to the method described by Xerardo Neira.3d model of a pentagonal icositetrahedron
In geometry, a pentagonal icositetrahedron or pentagonal icosikaitetrahedron[1] is a Catalan solid which is the dual of the snub cube. In crystallography it is also called a gyroid.[2][3]
It has two distinct forms, which are mirror images (or "enantiomorphs") of each other.
^Conway, Symmetries of things, p.284
^"Promorphology of Crystals I".
^"Crystal Form, Zones, & Habit". Archived from the original on 2003-08-23.
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In geometry, a pentagonalicositetrahedron or pentagonal icosikaitetrahedron is a Catalan solid which is the dual of the snub cube. In crystallography...
echinoderms with a pentagonal shape. A Ho-Mg-Zn icosahedral quasicrystal formed as a pentagonal dodecahedron. The faces are true regular pentagons. A pyritohedral...
face-transitive. Two of the Catalan solids are chiral: the pentagonalicositetrahedron and the pentagonal hexecontahedron, dual to the chiral snub cube and snub...
755\,21.} If the original snub cube has edge length 1, its dual pentagonalicositetrahedron has side lengths 1 t + 1 ≈ 0.593 465 and t + 1 2 ≈ 0.842 509...
generated. The only other common non-cubical die is the 10-sided die, a pentagonal trapezohedron die, whose faces are ten kites, each with two different...
/ˈdʌɪəkɪsˌdəʊdɪkəˈhiːdrən/ or diploid is a variant of the deltoidal icositetrahedron with pyritohedral symmetry, transforming the kite faces into chiral...
(as sphenoids). Its vertex figure has C2v symmetry and consists of 2 pentagons, 4 rectangles, 4 isosceles triangles (divided into two sets of 2), and...
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