Geodesic polyhedron

A skeletal polyhedron (specifically, a rhombicuboctahedron) drawn by Leonardo da Vinci to illustrate a book by Luca Pacioli

Convex polyhedron made from triangles.

- Geodesic polyhedron

15 related topics

Geodesic dome

The Montreal Biosphère, formerly the American Pavilion of Expo 67, by R. Buckminster Fuller, on Île Sainte-Hélène, Montreal, Quebec

The Climatron greenhouse at Missouri Botanical Gardens, built in 1960 and designed by Thomas C. Howard of Synergetics, Inc., inspired the domes in the science fiction movie Silent Running.

Science World in Vancouver, built for Expo 86, and inspired by Buckminster Fuller's Geodesic dome

RISE, public art designed by Wolfgang Buttress located in Belfast consists of two spheres which also utilise Buckminster Fuller's Geodesic dome

Buckminster Fuller's own home, undergoing restoration after deterioration

A geodesic dome is a hemispherical thin-shell structure (lattice-shell) based on a geodesic polyhedron.

Free and open-source 3D computer graphics software toolset used for creating animated films, visual effects, art, 3D-printed models, motion graphics, interactive 3D applications, virtual reality, and, formerly, video games.

Models and render in version 2.77 (2016)

Forensic facial reconstruction of a mummy by Cícero Moraes

Blender's user interface underwent a significant update with Blender 2.57, and again with the release of Blender 2.80.

An architectural render showing different rendering styles in Blender, including a photorealistic style using Cycles

Using the node editor to create a moldy gold material

The Dutch actor Derek de Lint in a composited live-action scene from Tears of Steel that used VFX

Blender has support for a variety of geometric primitives, including polygon meshes, Bézier curves, NURBS surfaces, metaballs, icospheres, text, and an n-gon modeling system called B-mesh.

Goldberg polyhedron

Convex polyhedron made from hexagons and pentagons.

3rd century BC Greek mathematician Euclid (holding calipers), as imagined by Raphael in this detail from The School of Athens (1509–1511)

A Goldberg polyhedron is a dual polyhedron of a geodesic sphere.

Geodesic grid

A highly divided geodesic polyhedron based on the icosahedron

A highly divided Goldberg polyhedron: the dual of the above image.

High quality volume rendering of atmosphere simulation at global scale based on Geodesic grid. The colored strips indicate the simulated atmosphere vorticity strength based on GCRM model.

A variation of geodesic grid with adaptive mesh refinement which devotes higher resolution mesh at regions of interests increasing the simulation precision while keeping the memory footage at manageable size.

High quality volume rendering of ocean simulation at global scale based on Geodesic grid. The colored strip indicate the simulated ocean vorticity strength based on MPAS model.

A geodesic grid is a spatial grid based on a geodesic polyhedron or Goldberg polyhedron.

Conway polyhedron notation

Used to describe polyhedra based on a seed polyhedron modified by various prefix operations.

This example chart shows how 11 new forms can be derived from the cube using 3 operations. The new polyhedra are shown as maps on the surface of the cube so the topological changes are more apparent. Vertices are marked in all forms with circles.

A 1x1 regular square torus, {4,4}{{sub|1,0}}

A regular 4x4 square torus, {4,4}{{sub|4,0}}

Operators in the triangular family can be used to produce the Goldberg polyhedra and geodesic polyhedra: see List of geodesic polyhedra and Goldberg polyhedra for formulas.

Goldberg–Coxeter construction

Graph operation defined on regular polyhedral graphs with degree 3 or 4.

(3,2) master triangle over triangular grid

<math>G_0</math>, the skeleton of the cube

$Intermediate step of constructing <math>GC_{1,1}(G_0)</math>.$

$The result <math>GC_{1,1}(G_0)</math>, after rearrangement$

Embedding of the result (rhombic dodecahedron)

The GC construction can be thought of as subdividing the faces of a polyhedron with a lattice of triangular, square, or hexagonal polygons, possibly skewed with regards to the original face: it is an extension of concepts introduced by the Goldberg polyhedra and geodesic polyhedra.

Geodesic polyhedron

Geodesic dome

Blender (software)

Goldberg polyhedron

Geodesic grid

Conway polyhedron notation

Goldberg–Coxeter construction

Hexapentakis truncated icosahedron

List of geodesic polyhedra and Goldberg polyhedra

Fermilab

Humanity Star