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A triangular prism is a prism with two triangular bases, and a right triangular prism is a special case with perpendicular edges. Learn about its symmetry, volume, dual polyhedron, and related polyhedra such as Johnson solids, truncated and Schönhardt polyhedra.
Learn the definition and formula of centroid, the intersection of all hyperplanes that divide an object into two parts of equal moment. Find the centroids of various two-dimensional and three-dimensional shapes, such as rectangles, circles, ellipses, and parabolas.
Minimum deviation is the angle of deviation of light in a prism that is minimum when the angle of incidence and emergence are equal. Learn the formula, examples, applications and related concepts of minimum deviation in optics.
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 fact that the volume of any pyramid, regardless of the shape of the base, including cones (circular base), is (1/3) × base × height, can be established by Cavalieri's principle if one knows only that it is true in one case. One may initially establish it in a single case by partitioning the interior of a triangular prism into three ...
A tetrahedron is a polyhedron with four triangular faces, six edges and four vertices. It is the simplest of all the ordinary convex polyhedra and one of the five Platonic solids. Learn more about its measurement, symmetry, duality and tessellation.
A prism is a polyhedron with two congruent polygonal bases and parallelogram sides. Learn about oblique, right, regular, uniform and other types of prisms, their volume, surface area, symmetry and related polytopes.
A wedge is a polyhedron with five faces, nine edges, and six vertices, defined by two triangles and three trapezoids. Learn about its properties, volume, examples, and special cases of wedges.