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  2. Cuboid - Wikipedia

    en.wikipedia.org/wiki/Cuboid

    [1] [2] General cuboids have many different types. When all of the rectangular cuboid's edges are equal in length, it results in a cube, with six square faces and adjacent faces meeting at right angles. [1] [3] Along with the rectangular cuboids, parallelepiped is a cuboid with six parallelogram. Rhombohedron is a cuboid with six rhombus faces.

  3. List of small polyhedra by vertex count - Wikipedia

    en.wikipedia.org/wiki/List_of_small_polyhedra_by...

    triangular pyramid 5 Square pyramid: Triangular bipyramid: 6 Pentagonal pyramid: Octahedron (regular) triangular antiprism square bipyramid Triangular prism wedge: 7 Hexagonal pyramid: Pentagonal bipyramid: Augmented triangular prism: Elongated triangular pyramid: 8 Heptagonal pyramid: Hexagonal bipyramid: Hexahedron Cube Square prism Cuboid ...

  4. Solid geometry - Wikipedia

    en.wikipedia.org/wiki/Solid_geometry

    A hexahedron with three pairs of parallel faces; A prism of which the base is a parallelogram; Rhombohedron: A parallelepiped where all edges are the same length; A cube, except that its faces are not squares but rhombi; Cuboid: A convex polyhedron bounded by six quadrilateral faces, whose polyhedral graph is the same as that of a cube [4]

  5. List of Johnson solids - Wikipedia

    en.wikipedia.org/wiki/List_of_Johnson_solids

    A uniform polyhedron is a polyhedron in which the faces are regular and they are isogonal; examples include Platonic and Archimedean solids as well as prisms and antiprisms. [3] The Johnson solids are named after American mathematician Norman Johnson (1930–2017), who published a list of 92 such polyhedra in 1966.

  6. Face (geometry) - Wikipedia

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

    where V is the number of vertices, E is the number of edges, and F is the number of faces. This equation is known as Euler's polyhedron formula. Thus the number of faces is 2 more than the excess of the number of edges over the number of vertices. For example, a cube has 12 edges and 8 vertices, and hence 6 faces.

  7. Rectangular cuboid - Wikipedia

    en.wikipedia.org/wiki/Rectangular_cuboid

    A rectangular cuboid is a convex polyhedron with six rectangle faces. The dihedral angles of a rectangular cuboid are all right angles, and its opposite faces are congruent. [2] By definition, this makes it a right rectangular prism. Rectangular cuboids may be referred to colloquially as "boxes" (after the physical object).

  8. Cubic pyramid - Wikipedia

    en.wikipedia.org/wiki/Cubic_pyramid

    The 4-dimensional content of a unit-edge-length tesseract is 1, so the content of the regular cubic pyramid is 1/8. The regular 24-cell has cubic pyramids around every vertex. Placing 8 cubic pyramids on the cubic bounding cells of a tesseract is Gosset's construction [2] of the 24-cell. Thus the 24-cell is constructed from exactly 16 cubic ...

  9. List of formulas in elementary geometry - Wikipedia

    en.wikipedia.org/wiki/List_of_formulas_in...

    Cube – , where is the side's length; Cuboid – a b c {\textstyle abc} , where a {\textstyle a} , b {\textstyle b} , and c {\textstyle c} are the sides' length; Cylinder – π r 2 h {\textstyle \pi r^{2}h} , where r {\textstyle r} is the base's radius and h {\textstyle h} is the cone's height;