Search results
Results from the WOW.Com Content Network
15.9 Regular and uniform compound polyhedra. ... but a diagram showing how the elements meet. Tessellations ... Triaugmented triangular prism;
In geometry, a triangular prism or trigonal prism [1] is a prism with 2 triangular bases. If the edges pair with each triangle's vertex and if they are perpendicular to the base, it is a right triangular prism. A right triangular prism may be both semiregular and uniform. The triangular prism can be used in constructing another polyhedron.
Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Pages for logged out editors learn more
A twisted prism is a nonconvex polyhedron constructed from a uniform n-prism with each side face bisected on the square diagonal, by twisting the top, usually by π / n radians ( 180 / n degrees) in the same direction, causing sides to be concave. [8] [9] A twisted prism cannot be dissected into tetrahedra without adding new ...
Main page; Contents; Current events; Random article; About Wikipedia; Contact us
The dual polyhedron of the triaugmented triangular prism has a face for each vertex of the triaugmented triangular prism, and a vertex for each face. It is an enneahedron (that is, a nine-sided polyhedron) [ 16 ] that can be realized with three non-adjacent square faces, and six more faces that are congruent irregular pentagons . [ 17 ]
The graph of an n-gonal prism has 2n vertices and 3n edges. They are regular, cubic graphs. Since the prism has symmetries taking each vertex to each other vertex, the prism graphs are vertex-transitive graphs. As polyhedral graphs, they are also 3-vertex-connected planar graphs. Every prism graph has a Hamiltonian cycle. [2]
A triangular bipyramid is the dual polyhedron of a triangular prism, and vice versa. [17] [3] A triangular prism has five faces, nine edges, and six vertices, with the same symmetry as a triangular bipyramid. [3]