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  2. Prism (geometry) - Wikipedia

    en.wikipedia.org/wiki/Prism_(geometry)

    Right Prism. A right prism is a prism in which the joining edges and faces are perpendicular to the base faces. [5] This applies if and only if all the joining faces are rectangular. The dual of a right n-prism is a right n-bipyramid. A right prism (with rectangular sides) with regular n-gon bases has Schläfli symbol { }×{n}.

  3. Triangular prism - Wikipedia

    en.wikipedia.org/wiki/Triangular_prism

    If the prism's edges are perpendicular to the base, the lateral faces are rectangles, and the prism is called a right triangular prism. [3] This prism may also be considered a special case of a wedge. [4] 3D model of a (uniform) triangular prism. If the base is equilateral and the lateral faces are square, then the right triangular prism is ...

  4. Prismatic uniform polyhedron - Wikipedia

    en.wikipedia.org/wiki/Prismatic_uniform_polyhedron

    prisms, for each rational number p/q > 2, with symmetry group D ph; antiprisms, for each rational number p/q > 3/2, with symmetry group D pd if q is odd, D ph if q is even. If p/q is an integer, i.e. if q = 1, the prism or antiprism is convex. (The fraction is always assumed to be stated in lowest terms.)

  5. Rectangular cuboid - Wikipedia

    en.wikipedia.org/wiki/Rectangular_cuboid

    its surface area is the sum of the area of all faces: = (+ +). its space diagonal can be found by constructing a right triangle of height c {\displaystyle c} with its base as the diagonal of the a {\displaystyle a} -by- b {\displaystyle b} rectangular face, then calculating the hypotenuse's length using the Pythagorean theorem : d = a 2 + b 2 ...

  6. Heptagonal prism - Wikipedia

    en.wikipedia.org/wiki/Heptagonal_prism

    Prism name Digonal prism (Trigonal) Triangular prism (Tetragonal) Square prism Pentagonal prism Hexagonal prism Heptagonal prism Octagonal prism Enneagonal prism Decagonal prism Hendecagonal prism Dodecagonal prism... Apeirogonal prism; Polyhedron image ... Spherical tiling image Plane tiling image Vertex config. 2.4.4: 3.4.4: 4.4.4: 5.4.4: 6.4 ...

  7. Polyhedron - Wikipedia

    en.wikipedia.org/wiki/Polyhedron

    The surface area of a polyhedron is the sum of areas of its faces, for definitions of polyhedra for which the area of a face is well-defined. The geodesic distance between any two points on the surface of a polyhedron measures the length of the shortest curve that connects the two points, remaining within the surface.

  8. Rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombicosidodecahedron

    Alternatively, if you expand each of five cubes by moving the faces away from the origin the right amount and rotating each of the five 72° around so they are equidistant from each other, without changing the orientation or size of the faces, and patch the pentagonal and triangular holes in the result, you get a rhombicosidodecahedron ...

  9. Square pyramid - Wikipedia

    en.wikipedia.org/wiki/Square_pyramid

    The surface area of a right square pyramid can be expressed as = +, where and are the areas of one of its triangles and its base, respectively. The area of a triangle is half of the product of its base and side, with the area of a square being the length of the side squared.