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Template: Polyhedron templates. ... Download as PDF; Printable version; ... This template is intended to provide consistent and easy links between Polyhedron database ...
The boundary of a cross-section in three-dimensional space that is parallel to two of the axes, that is, parallel to the plane determined by these axes, is sometimes referred to as a contour line; for example, if a plane cuts through mountains of a raised-relief map parallel to the ground, the result is a contour line in two-dimensional space ...
In geometry, a uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other). It follows that all vertices are congruent, and the polyhedron has a high degree of reflectional and rotational symmetry.
In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of 2 types. As a Catalan solid, it is the dual polyhedron of the cuboctahedron. As a parallelohedron, the rhombic dodecahedron can be used to tesselate its copies in space creating a rhombic dodecahedral honeycomb.
If the template has a separate documentation page (usually called "Template:template name/doc"), add [[Category:Polyhedron templates]] to the <includeonly> section at the bottom of that page.
A fan is a polyhedral complex in which every polyhedron is a cone from the origin. Examples of fans include: The normal fan of a polytope. The Gröbner fan of an ideal of a polynomial ring. [3] [4] A tropical variety obtained by tropicalizing an algebraic variety over a valued field with trivial valuation. The recession fan of a tropical variety.
Polyhedron models are found in mathematics classrooms much as globes in geography classrooms. Polyhedron models are notable as three-dimensional proof-of-concepts of geometric theories. Some polyhedra also make great centerpieces, tree toppers, Holiday decorations, or symbols. The Merkaba religious symbol, for example, is a stellated octahedron.
Any composite polyhedron can be constructed by attaching two or more non-composite polyhedra. Alternatively, it can be defined as a convex polyhedron that can separated into two or more non-composite polyhedra. [1] Examples can be found in a polyhedron that is constructed by attaching the regular base of pyramids onto another