Polyhedron | Polyhedra (Engelsk)
Search for " Polyhedron " OR " Polyhedra " in NRICH | PLUS | maths.org | Google
Definition
A solid with flat faces and straight edges.
Definition
A solid whose faces are all polygons.
If each face is exactly the same size and shape and the same number of faces meet at each vertex then the polyhedron is said to be regular.
The only regular polyhedra are the Platonic Solids.
If each face is exactly the same size and shape and the same number of faces meet at each vertex then the polyhedron is said to be regular.
The only regular polyhedra are the Platonic Solids.
Definition
A finite set of polygons arranged so that:
- Any two polygons only meet along at a corner or an edge.
- Each polygon side meets another polygon side at an edge.
- A path can be drawn on the polygonal surface from the interior of any polygon to the interior of any other.
- Given a subset PV of the polygons which meet at the vertex V, then a path can be drawn in PV which connects any p to q where p,q ∈ PV.
Relations
- bredere:
- (en) Solid
- smallere:
- (en) Antiprism
- (en) Compound polyhedron
- (en) Concave polyhedron
- (en) Convex polyhedron
- (en) Cuboid
- (en) Decahedron
- (en) Deltahedron
- (en) Dodecahedron
- (en) Euler's formula
- (en) Even-faced polyhedron
- (en) Face-regular polyhedron
- (en) Faceted polyhedron
- (en) Facially regular polyhedron
- (en) Geodesic dome
- (en) Hexahedron
- (en) Icosahedron
- (en) Kepler-Poinsot polyhedron
- (en) Octahedron
- (en) Parallelepiped
- (en) Parallelohedron
- (en) Pentahedron
- (en) Platonic solid
- (en) Prism
- (en) Prismatoid
- (en) Pyramid
- (en) Quasi-regular polyhedron
- (en) Regular polyhedron
- (en) Rhombohedron
- (en) Snub polyhedron
- (en) Stella octangula
- (en) Stellated polyhedron
- (en) Tetrahedron
- (en) Triakis tetrahedron
- (en) Uniform polyhedron
- (en) Zonahedron
- referencer:
- (en) Solid geometry
- reference:
- (en) Diagonal line
- (en) Schläfli symbol
- (en) Wythoff symbol
- se også:
- (en) Polytope
Støttet af: