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...

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...

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

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

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

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...

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...

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

a geodesic great circle, creating a polyhedron with two distinct edge lengths and face shapes. An n {\displaystyle n} -frequency alternate geodesic subdivision...

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

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

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

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...

In geometry, the truncated icosahedron is a polyhedron that can be constructed by truncating all of the regular icosahedron's vertices. Intuitively, it...

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

Conway polyhedron notation, invented by John Horton Conway and promoted by George W. Hart, is used to describe polyhedra based on a seed polyhedron modified...

\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...

(technology) – Fictional technology or superpower Geodesic dome – Spherical shell structure based on a geodesic polyhedron IBTS Greenhouse – Egyptian desalination...

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

types of closed geodesic runs parallel to the square base of a pyramid, through the eight faces surrounding the pyramid. For a polyhedron with unit-length...

closed geodesics. The closed geodesics are paths on a cube's surface that are locally straight. In other words, they avoid the vertices of the polyhedron, follow...

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 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...

The pentagonal bipyramid (or pentagonal dipyramid) is a polyhedron with ten triangular faces. It is constructed by attaching two pentagonal pyramids to...

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...

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

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

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...