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  2. Cylinder - Wikipedia

    en.wikipedia.org/wiki/Cylinder

    In projective geometry, a cylinder is simply a cone whose apex (vertex) lies on the plane at infinity. If the cone is a quadratic cone, the plane at infinity (which passes through the vertex) can intersect the cone at two real lines, a single real line (actually a coincident pair of lines), or only at the vertex.

  3. Polygon mesh - Wikipedia

    en.wikipedia.org/wiki/Polygon_mesh

    In 3D computer graphics and solid modeling, a polygon mesh is a collection of vertices, edge s and face s that defines the shape of a polyhedral object. The faces usually consist of triangles ( triangle mesh ), quadrilaterals (quads), or other simple convex polygons ( n-gons ), since this simplifies rendering , but may also be more generally ...

  4. Face (geometry) - Wikipedia

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

    In elementary geometry, a face is a polygon [note 1] on the boundary of a polyhedron. [2][3] Other names for a polygonal face include polyhedron side and Euclidean plane tile. For example, any of the six squares that bound a cube is a face of the cube. Sometimes "face" is also used to refer to the 2-dimensional features of a 4-polytope.

  5. Solid geometry - Wikipedia

    en.wikipedia.org/wiki/Solid_geometry

    Solid geometry or stereometry is the geometry of three-dimensional Euclidean space (3D space). [1] A solid figure is the region of 3D space bounded by a two-dimensional closed surface; for example, a solid ball consists of a sphere and its interior. Solid geometry deals with the measurements of volumes of various solids, including pyramids ...

  6. Polyhedron - Wikipedia

    en.wikipedia.org/wiki/Polyhedron

    Polyhedron. In geometry, a polyhedron (pl.: polyhedra or polyhedrons; from Greek πολύ (poly-) 'many' and ἕδρον (-hedron) 'base, seat') is a three-dimensional figure with flat polygonal faces, straight edges and sharp corners or vertices. A convex polyhedron is a polyhedron that bounds a convex set.

  7. Rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombicosidodecahedron

    Rhombicosidodecahedron. In geometry, the rhombicosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces. It has 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, 60 vertices, and 120 edges.

  8. Platonic solid - Wikipedia

    en.wikipedia.org/wiki/Platonic_solid

    Platonic solid. In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent), and the same number of faces meet at each vertex.

  9. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    5D with 4D surfaces. regular 5-polytope. 5-dimensional cross-polytope. 5-dimensional hypercube. 5-dimensional simplex. Five-dimensional space, 5-polytope and uniform 5-polytope. 5-simplex, Rectified 5-simplex, Truncated 5-simplex, Cantellated 5-simplex, Runcinated 5-simplex, Stericated 5-simplex.