Английская Википедия:Elongated triangular gyrobicupola
Шаблон:Short description Шаблон:Infobox polyhedron
In geometry, the elongated triangular gyrobicupola is one of the Johnson solids (Шаблон:Math). As the name suggests, it can be constructed by elongating a "triangular gyrobicupola," or cuboctahedron, by inserting a hexagonal prism between its two halves, which are congruent triangular cupolae (Шаблон:Math). Rotating one of the cupolae through 60 degrees before the elongation yields the triangular orthobicupola (Шаблон:Math).
Formulae
The following formulae for volume and surface area can be used if all faces are regular, with edge length a:[1]
- <math>V=\left(\frac{5\sqrt{2}}{3}+\frac{3\sqrt{3}}{2}\right)a^3\approx4.9551...a^3</math>
- <math>A=2\left(6+\sqrt{3}\right)a^2\approx15.4641...a^2</math>
Related polyhedra and honeycombs
The elongated triangular gyrobicupola forms space-filling honeycombs with tetrahedra and square pyramids.[2]
References
External links
Шаблон:Johnson solids navigator Шаблон:Polyhedron-stub
- ↑ Stephen Wolfram, "Elongated triangular gyrobicupola" from Wolfram Alpha. Retrieved July 25, 2010.
- ↑ Шаблон:Cite web
