{
  "id": "enwiki-001330912226",
  "slug": "bifrustum",
  "title": "Bifrustum",
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  "lead": "{{Infobox polyhedron | name = Family of bifrusta | image = Hexagonal bifrustum.png | caption = Example: hexagonal bifrustum | type = | euler = | faces = -gons trapezoids | edges = | vertices = | vertex_config = | schläfli = | wythoff = | conway = | coxeter = | symmetry = | rotation_group = | surface_area = \\begin{align} &n (a+b) \\sqrt{\\left(\\tfrac{a-b}{2} \\cot{\\tfrac{\\pi}{n}}\\right)^2+h^2} \\\\[2pt] & \\ \\ +\\ n \\frac{b^2}{2 \\tan{\\frac{\\pi}{n}}} \\end{align} | volume = n \\frac{a^2+b^2+ab}{6 \\tan{\\frac{\\pi}{n}}}h | angle = | dual = Elongated bipyramids | properties = convex | vertex_figure = | net = | net_caption = }} In geometry, an -gonal bifrustum is a polyhedron composed of three parallel planes of -gons, with the middle plane largest and usually the top and bottom congruent. It can be constructed as two congruent frusta combined across a plane of symmetry, and also as a bipyramid with the two polar vertices truncated. They are duals to the family of elongated bipyramids.",
  "body": "{{Infobox polyhedron | name = Family of bifrusta | image = Hexagonal bifrustum.png | caption = Example: hexagonal bifrustum | type = | euler = | faces = -gons trapezoids | edges = | vertices = | vertex_config = | schläfli = | wythoff = | conway = | coxeter = | symmetry = | rotation_group = | surface_area = \\begin{align} &n (a+b) \\sqrt{\\left(\\tfrac{a-b}{2} \\cot{\\tfrac{\\pi}{n}}\\right)^2+h^2} \\\\[2pt] & \\ \\ +\\ n \\frac{b^2}{2 \\tan{\\frac{\\pi}{n}}} \\end{align} | volume = n \\frac{a^2+b^2+ab}{6 \\tan{\\frac{\\pi}{n}}}h | angle = | dual = Elongated bipyramids | properties = convex | vertex_figure = | net = | net_caption = }} In geometry, an -gonal bifrustum is a polyhedron composed of three parallel planes of -gons, with the middle plane largest and usually the top and bottom congruent. It can be constructed as two congruent frusta combined across a plane of symmetry, and also as a bipyramid with the two polar vertices truncated. They are duals to the family of elongated bipyramids. \\begin{align} A_l &= n (a+b) \\sqrt{\\left(\\tfrac{a-b}{2} \\cot{\\tfrac{\\pi}{n}}\\right)^2+h^2} \\\\[4pt] A &= A_l + n \\frac{b^2}{2 \\tan{\\frac{\\pi}{n}}} \\\\[4pt] V &= n \\frac{a^2+b^2+ab}{6 \\tan{\\frac{\\pi}{n}}}h \\end{align} The volume V is twice the volume of a frustum.",
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    "title": "Bifrustum",
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    "container-title": "encyclopegia.org",
    "publisher": "Anticloud FZ LLE",
    "publisher-place": "Dubai, United Arab Emirates",
    "URL": "https://encyclopegia.org/a/bifrustum",
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      "date-parts": [
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          2026,
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          15
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