Convex polyhedra

In geometry, a ; or frustums), often incorrectly spelled as frustrum or frustrums, is the portion of a solid (normally a pyramid or a cone) that lies between two parallel planes cutting the solid. In the case of a pyramid, the base faces are polygonal and the side faces are trapezoidal. A right frustum is a right pyramid or a right cone truncated perpendicularly to its axis; otherwise, it is an oblique frustum.

solid formed by joining two polygons, one with twice as many edges as the other, by an alternating band of isosceles triangles and rectangles

3-connected simple planar graph

three-dimensional convex hull of a finite set of points in an Euclidean space

convex polyhedron in which the faces are close to being regular polygons but in which some or all of the faces are not precisely regular

thumb|upright=1.2|Five types of parallelohedron. Top: cube, [[hexagonal prism, rhombic dodecahedron. Bottom: elongated dodecahedron, truncated octahedron. The colors partition the edges into zones; for each zone, the faces containing edges of that color form a belt. Choosing one edge of each color produces a system of generators for each polyhedron.]] In geometry, a parallelohedron or Fedorov polyhedron is a convex polyhedron that can be translated without rotations to fill Euclidean space, producing a honeycomb in which all copies of the polyhedron meet face-to-face. Evgraf Fedorov identified

Characterizes graphs formed by edges and vertices of 3-dimensional convex polyhedra