List Of Geodesic Polyhedra And Goldberg Polyhedra
This is a list of selected geodesic polyhedron, geodesic polyhedra and Goldberg polyhedron, Goldberg polyhedra, two infinite classes of polyhedron, polyhedra. Geodesic polyhedra and Goldberg polyhedra are polyhedral dual, duals of each other. The geodesic and Goldberg polyhedra are parameterized by integers ''m'' and ''n'', with m > 0 and n \ge 0. ''T'' is the triangulation number, which is equal to T = m^2 + mn + n^2. Icosahedral Octahedral Tetrahedral References

* Reprinted by Dover 1999 {{ISBN, 978-0-486-40921-4 Geodesic polyhedra, Goldberg polyhedra, Mathematics-related lists ...
[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  

Geodesic Polyhedron
A geodesic polyhedron is a convex polyhedron made from triangles. They usually have icosahedral symmetry, such that they have 6 triangles at a vertex, except 12 vertices which have 5 triangles. They are the dual of corresponding Goldberg polyhedra with mostly hexagonal faces. Geodesic polyhedra are a good approximation to a sphere for many purposes, and appear in many different contexts. The most well-known may be the geodesic domes designed by Buckminster Fuller, which geodesic polyhedra are named after. Geodesic grids used in geodesy also have the geometry of geodesic polyhedra. The capsids of some viruses have the shape of geodesic polyhedra, and fullerene molecules have the shape of Goldberg polyhedra. Geodesic polyhedra are available as geometric primitives in the Blender 3D modeling software package, which calls them icospheres: they are an alternative to the UV sphere, having a more regular distribution of vertices than the UV sphere. The Goldberg–Coxeter construction ...
[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  

Conway Polyhedron Dk6k5tI
Conway may refer to: Places United States * Conway, Arkansas * Conway County, Arkansas * Lake Conway, Arkansas * Conway, Florida * Conway, Iowa * Conway, Kansas * Conway, Louisiana * Conway, Massachusetts * Conway, Michigan * Conway Township, Michigan * Conway, Missouri * Conway, New Hampshire, a New England town ** Conway (CDP), New Hampshire, village in the town * Conway, North Dakota * Conway, North Carolina * Conway, Pennsylvania * Conway, South Carolina * Conway River (Virginia) * Conway, Washington Elsewhere * Conway, Queensland, a locality in the Whitsunday Region, Queensland, Australia * Conway River (New Zealand) * Conway, Wales, now spelt Conwy, a town with a castle in North Wales * River Conway, Wales, similarly respelt River Conwy Ships * HMS ''Conway'' (school ship) * HMS ''Conway'' (1832), a 26-gun sixth rate launched in 1832 * USS ''Conway'' (DD-70) or USS ''Craven'' (DD-70), a Caldwell class destroyer launched in 1918 * USS ''Conway'' (DD-507), ...
[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  

Subdivided Triangle 08 00
Subdivision may refer to: Arts and entertainment * Subdivision (metre), in music * ''Subdivision'' (film), 2009 * "Subdivision", an episode of ''Prison Break'' (season 2) * ''Subdivisions'' (EP), by Sinch, 2005 * "Subdivisions" (song), by Rush, 1982 Science, technology and mathematics * Subdivision (rank), a taxonomic rank * Subdivision (botany), or subphylum, a taxonomic rank * Subdivision, resulting in Homeomorphism (graph theory) * Subdivision surface, in computer graphics Other uses * Subdivision, an administrative division, a portion of a country * Subdivision (India), an administrative division in India * Subdivision (land), the act of dividing land into smaller pieces See also * * * Division (other) Division or divider may refer to: Mathematics *Division (mathematics), the inverse of multiplication *Division algorithm, a method for computing the result of mathematical division Military *Division (military), a formation typically consisting ...

Goldberg Polyhedron 7 0
Goldberg or Goldberger may refer to: Arts and entertainment * Goldberg Ensemble, a British string ensemble * ''Goldberg Variations'', a set of 30 keyboard variations by Johann Sebastian Bach * ''The Goldbergs (broadcast series)'', American radio and television comedy-drama series * ''The Goldbergs (2013 TV series)'', a 2013 American situation comedy * Maximum Destruction, a monster truck driven by Tom Meents that was originally named for Bill Goldberg Companies * Goldbergs, a British department store group that ceased trading in 1991 * Carl Goldberg Products, an American manufacturer of radio-controlled airplane kits * Spelling-Goldberg Productions, an American television production company People * Goldberg (surname), people with the surname Goldberg * Bill Goldberg, a professional wrestler also known simply as Goldberg Places * Goldberg, Germany * Złotoryja, Poland (German: ) Science * Goldberg reaction, in chemistry * Goldberg–Sachs theorem, a theorem in general ...
[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  

Conway DwrwD
Conway may refer to: Places United States * Conway, Arkansas * Conway County, Arkansas * Lake Conway, Arkansas * Conway, Florida * Conway, Iowa * Conway, Kansas * Conway, Louisiana * Conway, Massachusetts * Conway, Michigan * Conway Township, Michigan * Conway, Missouri * Conway, New Hampshire, a New England town ** Conway (CDP), New Hampshire, village in the town * Conway, North Dakota * Conway, North Carolina * Conway, Pennsylvania * Conway, South Carolina * Conway River (Virginia) * Conway, Washington Elsewhere * Conway, Queensland, a locality in the Whitsunday Region, Queensland, Australia * Conway River (New Zealand) * Conway, Wales, now spelt Conwy, a town with a castle in North Wales * River Conway, Wales, similarly respelt River Conwy Ships * HMS ''Conway'' (school ship) * HMS ''Conway'' (1832), a 26-gun sixth rate launched in 1832 * USS ''Conway'' (DD-70) or USS ''Craven'' (DD-70), a Caldwell class destroyer launched in 1918 * USS ''Conway'' (DD-507), ...
[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  

Subdivided Triangle 07 00
Subdivision may refer to: Arts and entertainment * Subdivision (metre), in music * ''Subdivision'' (film), 2009 * "Subdivision", an episode of ''Prison Break'' (season 2) * ''Subdivisions'' (EP), by Sinch, 2005 * "Subdivisions" (song), by Rush, 1982 Science, technology and mathematics * Subdivision (rank), a taxonomic rank * Subdivision (botany), or subphylum, a taxonomic rank * Subdivision, resulting in Homeomorphism (graph theory) * Subdivision surface, in computer graphics Other uses * Subdivision, an administrative division, a portion of a country * Subdivision (India), an administrative division in India * Subdivision (land), the act of dividing land into smaller pieces See also * * * Division (other) Division or divider may refer to: Mathematics *Division (mathematics), the inverse of multiplication *Division algorithm, a method for computing the result of mathematical division Military *Division (military), a formation typically consisting ...

Conway Polyhedron Tkt5daD
Conway may refer to: Places United States * Conway, Arkansas * Conway County, Arkansas * Lake Conway, Arkansas * Conway, Florida * Conway, Iowa * Conway, Kansas * Conway, Louisiana * Conway, Massachusetts * Conway, Michigan * Conway Township, Michigan * Conway, Missouri * Conway, New Hampshire, a New England town ** Conway (CDP), New Hampshire, village in the town * Conway, North Dakota * Conway, North Carolina * Conway, Pennsylvania * Conway, South Carolina * Conway River (Virginia) * Conway, Washington Elsewhere * Conway, Queensland, a locality in the Whitsunday Region, Queensland, Australia * Conway River (New Zealand) * Conway, Wales, now spelt Conwy, a town with a castle in North Wales * River Conway, Wales, similarly respelt River Conwy Ships * HMS ''Conway'' (school ship) * HMS ''Conway'' (1832), a 26-gun sixth rate launched in 1832 * USS ''Conway'' (DD-70) or USS ''Craven'' (DD-70), a Caldwell class destroyer launched in 1918 * USS ''Conway'' (DD-507), ...
[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  

Conway Polyhedron Kdkt5daD
Conway may refer to: Places United States * Conway, Arkansas * Conway County, Arkansas * Lake Conway, Arkansas * Conway, Florida * Conway, Iowa * Conway, Kansas * Conway, Louisiana * Conway, Massachusetts * Conway, Michigan * Conway Township, Michigan * Conway, Missouri * Conway, New Hampshire, a New England town ** Conway (CDP), New Hampshire, village in the town * Conway, North Dakota * Conway, North Carolina * Conway, Pennsylvania * Conway, South Carolina * Conway River (Virginia) * Conway, Washington Elsewhere * Conway, Queensland, a locality in the Whitsunday Region, Queensland, Australia * Conway River (New Zealand) * Conway, Wales, now spelt Conwy, a town with a castle in North Wales * River Conway, Wales, similarly respelt River Conwy Ships * HMS ''Conway'' (school ship) * HMS ''Conway'' (1832), a 26-gun sixth rate launched in 1832 * USS ''Conway'' (DD-70) or USS ''Craven'' (DD-70), a Caldwell class destroyer launched in 1918 * USS ''Conway'' (DD-507), ...
[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  

Subdivided Triangle 06 00
Subdivision may refer to: Arts and entertainment * Subdivision (metre), in music * ''Subdivision'' (film), 2009 * "Subdivision", an episode of ''Prison Break'' (season 2) * ''Subdivisions'' (EP), by Sinch, 2005 * "Subdivisions" (song), by Rush, 1982 Science, technology and mathematics * Subdivision (rank), a taxonomic rank * Subdivision (botany), or subphylum, a taxonomic rank * Subdivision, resulting in Homeomorphism (graph theory) * Subdivision surface, in computer graphics Other uses * Subdivision, an administrative division, a portion of a country * Subdivision (India), an administrative division in India * Subdivision (land), the act of dividing land into smaller pieces See also * * * Division (other) Division or divider may refer to: Mathematics *Division (mathematics), the inverse of multiplication *Division algorithm, a method for computing the result of mathematical division Military *Division (military), a formation typically consisting ...

Goldberg Polyhedron 5 0
Goldberg or Goldberger may refer to: Arts and entertainment * Goldberg Ensemble, a British string ensemble * ''Goldberg Variations'', a set of 30 keyboard variations by Johann Sebastian Bach * ''The Goldbergs (broadcast series)'', American radio and television comedy-drama series * ''The Goldbergs (2013 TV series)'', a 2013 American situation comedy * Maximum Destruction, a monster truck driven by Tom Meents that was originally named for Bill Goldberg Companies * Goldbergs, a British department store group that ceased trading in 1991 * Carl Goldberg Products, an American manufacturer of radio-controlled airplane kits * Spelling-Goldberg Productions, an American television production company People * Goldberg (surname), people with the surname Goldberg * Bill Goldberg, a professional wrestler also known simply as Goldberg Places * Goldberg, Germany * Złotoryja, Poland (German: ) Science * Goldberg reaction, in chemistry * Goldberg–Sachs theorem, a theorem in general ...
[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  

Icosahedron Subdivision5
In geometry, an icosahedron ( or ) is a polyhedron with 20 faces. The name comes and . The plural can be either "icosahedra" () or "icosahedrons". There are infinitely many non- similar shapes of icosahedra, some of them being more symmetrical than others. The best known is the (convex, non- stellated) regular icosahedron—one of the Platonic solids—whose faces are 20 equilateral triangles. Regular icosahedra There are two objects, one convex and one nonconvex, that can both be called regular icosahedra. Each has 30 edges and 20 equilateral triangle faces with five meeting at each of its twelve vertices. Both have icosahedral symmetry. The term "regular icosahedron" generally refers to the convex variety, while the nonconvex form is called a ''great icosahedron''. Convex regular icosahedron The convex regular icosahedron is usually referred to simply as the ''regular icosahedron'', one of the five regular Platonic solids, and is represented by its Schläfli symbol , con ...
[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  

Subdivided Triangle 05 00
Subdivision may refer to: Arts and entertainment * Subdivision (metre), in music * ''Subdivision'' (film), 2009 * "Subdivision", an episode of ''Prison Break'' (season 2) * ''Subdivisions'' (EP), by Sinch, 2005 * "Subdivisions" (song), by Rush, 1982 Science, technology and mathematics * Subdivision (rank), a taxonomic rank * Subdivision (botany), or subphylum, a taxonomic rank * Subdivision, resulting in Homeomorphism (graph theory) * Subdivision surface, in computer graphics Other uses * Subdivision, an administrative division, a portion of a country * Subdivision (India), an administrative division in India * Subdivision (land), the act of dividing land into smaller pieces See also * * * Division (other) Division or divider may refer to: Mathematics *Division (mathematics), the inverse of multiplication *Division algorithm, a method for computing the result of mathematical division Military *Division (military), a formation typically consisting ...