A geodesic polyhedron is a convex polyhedron made from triangles. They usually have icosahedral symmetry, such that they have 6 triangles at a vertex,...

A geodesic dome is a hemispherical thin-shell structure (lattice-shell) based on a geodesic polyhedron. The rigid triangular elements of the dome distribute...

Goldberg polyhedron is a dual polyhedron of a geodesic polyhedron. A consequence of Euler's polyhedron formula is that a Goldberg polyhedron always has...

A geodesic grid is a spatial grid based on a geodesic polyhedron or Goldberg polyhedron. The earliest use of the (icosahedral) geodesic grid in geophysical...

In geometry, a spherical polyhedron or spherical tiling is a tiling of the sphere in which the surface is divided or partitioned by great arcs into bounded...

geometric shape Geodesic dome, a hemispherical lattice-shell structure made from triangles, the shape of which is called a geodesic polyhedron All pages with...

In geometry, a polyhedron (pl.: polyhedra or polyhedrons; from Greek πολύ (poly-)  'many', and ἕδρον (-hedron)  'base, seat') is a three-dimensional shape...

truncated icosahedron is a convex polyhedron constructed as an augmented truncated icosahedron. It is geodesic polyhedron {3,5+}3,0, with pentavalent vertices...

and 60 triangles from the pentagons are isosceles. It is a (2,1) geodesic polyhedron, made of all triangles. The path between the valence-5 vertices is...

\pi /2} and π / 6 {\displaystyle \pi /6} . Shifting a geodesic on the surface of the polyhedron by a small amount (small enough that the shift does not...

Michael Goldberg introduced the Goldberg polyhedron in 1937. Buckminster Fuller coined the term "geodesic dome" in the 1940s, although he largely kept...

Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical...

truncated icosahedron is an Archimedean solid with 32 faces. It is a polyhedron that may be associated with footballs (soccer balls) typically patterned...

mountain faces, specifically in the Appalachians.[citation needed] Geodesic polyhedron Catmull-Clark subdivision surface Doo-Sabin subdivision surface Charles...

geodesics (i.e. three embedded geodesic circles). The result can also be extended to quasigeodesics on a convex polyhedron, and to closed geodesics of...

Hexagonal cupola (Degenerate) Geodesic polyhedron Goldberg polyhedron Johnson solid Platonic solid Semiregular polyhedron Archimedean solid Prism Antiprism...

the pentakis icosidodecahedron or subdivided icosahedron is a convex polyhedron with 80 triangular faces, 120 edges, and 42 vertices. It is a dual of...

favor the appearance of new viruses during evolution. Viruses portal Geodesic polyhedron Goldberg–Coxeter construction Fullerene#Other buckyballs Asensio...

conjecture fails for pseudo edges, i.e., a network of geodesics which connect vertices of the polyhedron and form a graph with convex faces. A related open...

(kis operation) will yield the (2,2) geodesic polyhedron. Taking the dual of that yields the (2,2) Goldberg polyhedron, which is the chamfered truncated...

In three-dimensional hyperbolic geometry, an ideal polyhedron is a convex polyhedron all of whose vertices are ideal points, points "at infinity" rather...

the manifold that are connected to p by two or more distinct shortest geodesics. More generally, the cut locus of a closed set X on the manifold is the...

Earth is derived from the Class 2 geodesic polyhedron with frequency of division equal to 8. Each face of the polyhedron is divided into three isosceles...

with boundary ∂M. Let K be the Gaussian curvature of M, and let kg be the geodesic curvature of ∂M. Then ∫ M K d A + ∫ ∂ M k g d s = 2 π χ ( M ) , {\displaystyle...

space is called a geodesic space. The geodesic space formed from the surface of a polyhedron is called its development. The polyhedron can be thought of...

projection based on a spherical polyhedron. Typically, the polyhedron is overlaid on the globe, and each face of the polyhedron is transformed to a polygon...

The Poliedro de Caracas ("Caracas Polyhedron Arena") is an indoor sports arena, located on the grounds adjacent to Hipodromo La Rinconada, in Caracas,...

In geometry, the tetrakis cuboctahedron is a convex polyhedron with 32 triangular faces, 48 edges, and 18 vertices. It is a dual of the truncated rhombic...

A 2-uniform triangular tiling, 4 colored triangles, related to the geodesic polyhedron as {3,6+}2,0....

In geometry, the dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U36. It is the rectification of the great dodecahedron (and that of its...