Ortobicúpula triangular

Infotaula de polítopOrtobicúpula triangular
Model 3D
TipusSòlid de Johnson
Forma de les caresTriangles equilàters i
quadrats
Cares per vèrtex4
Vèrtexs per cara3 i 4
SimetriaD3h
Dual-
PropietatsConvex
Elements
Cares14
Arestes24
Vèrtexs12
Característica2
Més informació
MathWorldTriangularOrthobicupola Modifica el valor a Wikidata

En geometria, la ortobicúpula triangular es pot construir enganxant dues cúpules triangulars per les cares hexagonals. És un dels noranta-dos sòlids de Johnson (J26). Té simetria D3h.

Els 92 sòlids de Johnson van ser descrits 1966 per Norman Johnson i els va numerar. No va demostrar que no n'existia més que 92, però va conjecturar que no n'hi havia d'altres. Victor Zalgaller el 1969 va demostrar que la llista de Johnson era completa. S'utilitzen els noms i l'ordre donats per Johnson, i se'ls nota Jxx on xx és el nombre donat per Jonson.

Desenvolupament pla

Desenvolupament pla de la ortobicúpula triangular


Referències

  • Norman W. Johnson, "Convex Solids with Regular Faces", Canadian Journal of Mathematics, 18, 1966, pages 169–200. Conté l'enumeració original dels 92 sòlids i la conjectura que no n'hi ha d'altres.
  • Victor A. Zalgaller, "Convex Polyhedra with Regular Faces", 1969 : primera demostració d'aquesta conjectura.
  • Eric W. Weisstein. Johnson Solid : cada sòlid amb el seu desenvolupament

Vegeu també

Enllaços externs

  • Weistein, Eric W., Triangular orthobicupola ortobicúpula triangular a MathWorld. (anglès)
  • Weistein, Eric W., Johnson solid Sòlids de Johnson a MathWorld. (anglès)

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