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Zome
The term ''zome'' is used in several related senses. A zome in the original sense is a building using unusual geometries (different from the standard house or other building which is essentially one or a series of rectangular boxes). The word "zome" was coined in 1968 by Steve Durkee, now known as Nooruddeen Durkee, combining the words dome and zonohedron. One of the earliest models ended up as a large climbing structure at the Lama Foundation. In the second sense as a learning tool or toy, "Zometool" refers to a model-construction toy manufactured by Zometool, Inc. It is sometimes thought of as the ultimate form of the "ball and stick" construction toy, in form. It appeals to adults as well as children, and is educational on many levels (not the least, geometry). Finally, the term "Zome system" refers to the mathematics underlying the physical construction system. Both the building and the learning tool are the brainchildren of inventor/designer Steve Baer, his wife, Holly, and ...
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Zome Logo
The term ''zome'' is used in several related senses. A zome in the original sense is a building using unusual geometries (different from the standard house or other building which is essentially one or a series of rectangular boxes). The word "zome" was coined in 1968 by Steve Durkee, now known as Nooruddeen Durkee, combining the words dome and zonohedron. One of the earliest models ended up as a large climbing structure at the Lama Foundation. In the second sense as a learning tool or toy, "Zometool" refers to a model-construction toy manufactured by Zometool, Inc. It is sometimes thought of as the ultimate form of the "ball and stick" construction toy, in form. It appeals to adults as well as children, and is educational on many levels (not the least, geometry). Finally, the term "Zome system" refers to the mathematics underlying the physical construction system. Both the building and the learning tool are the brainchildren of inventor/designer Steve Baer, his wife, Holly, and ...
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Steve Baer
Steve Baer (born 1938) is an American inventor and pioneer of passive solar technology. Baer helped popularize the use of zomes. He took a number of solar power patents, wrote a number of books and publicized his work. Baer served on the board of directors of the U.S. Section of the International Solar Energy Society, and on the board of the New Mexico Solar Energy Association. He was the founder, chairman of the board, president, and director of research at Zomeworks Corporation. Early life Steve Baer was born in Los Angeles. In his teens while a student at Midland School, he read Lewis Mumford and decided technology needn’t necessarily degrade or complicate people's lives. In the latter 1950s, Baer worked at various jobs and attended Amherst College and UCLA. In 1960, he joined the U.S. Army, being stationed in Germany for three years. He also was married in 1960. After discharge from the Army, he and his wife, Holly settled in Zurich, Switzerland, where he worked as a ...
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Drop City
Drop City was a counterculture artists' community that formed near the town of Trinidad in southern Colorado in 1960. Abandoned by 1979, Drop City became known as the first rural "hippie commune". Establishment In 1960, the four original founders, Gene Bernofsky ("Curly"), JoAnn Bernofsky ("Jo"), Richard Kallweit ("Lard"), and Clark Richert ("Clard"), art students and filmmakers from the University of Kansas and University of Colorado, bought a tract of land about four miles (6 km) north of Trinidad, in southeastern Colorado. Their intention was to create a live-in work of Drop Art, continuing an art concept they had developed earlier at the University of Kansas. Drop Art (sometimes called "droppings") was informed by the "happenings" of Allan Kaprow and the impromptu performances, a few years earlier, of John Cage, Robert Rauschenberg, and Buckminster Fuller, at Black Mountain College. As Drop City gained notoriety in the 1960s underground, people from around the world ...
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Rhombicosidodecahedron
In geometry, the rhombicosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces. It has 20 regular triangular faces, 30 square (geometry), square faces, 12 regular pentagonal faces, 60 vertex (geometry), vertices, and 120 edge (geometry), edges. Names Johannes Kepler in Harmonices Mundi (1618) named this polyhedron a ''rhombicosidodecahedron'', being short for ''truncated icosidodecahedral rhombus'', with ''icosidodecahedral rhombus'' being his name for a rhombic triacontahedron. There are different truncations of a rhombic triacontahedron into a topology, topological rhombicosidodecahedron: Prominently its rectification (geometry), rectification (left), the one that creates the uniform solid (center), and the rectification of the dual icosidodecahedron (right), which is the core of the dual compound. It can also be called an ''Expansion (geometry), expanded'' or ''Cantellation (geome ...
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Construction Set
A construction set is a set of standardized pieces that allow for the construction of a variety of different models. The pieces avoid the lead-time of manufacturing custom pieces, and of requiring special training or design time to construct complex systems. This makes them suitable for temporary structures, or for use as children's toys. One very popular brand is Lego. Categories Construction sets can be categorized according to their connection method and geometry: * Struts of variable length that are connected to any point along another strut, and at nodes. ** Tesseract connection points are initially flexible but can be made rigid with the addition of clips. * Struts of fixed but multiple lengths that are connected by nodes are good for building space frames, and often have components that allow full rotational freedom. ** D8h (*228) nodes are used for K'Nex, Tinkertoys, Playskool Pipeworks, Cleversticks and interlocking disks in general. ** D6h nodes are used for int ...
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Golden Ratio
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities a and b with a > b > 0, where the Greek letter phi ( or \phi) denotes the golden ratio. The constant \varphi satisfies the quadratic equation \varphi^2 = \varphi + 1 and is an irrational number with a value of The golden ratio was called the extreme and mean ratio by Euclid, and the divine proportion by Luca Pacioli, and also goes by several other names. Mathematicians have studied the golden ratio's properties since antiquity. It is the ratio of a regular pentagon's diagonal to its side and thus appears in the construction of the dodecahedron and icosahedron. A golden rectangle—that is, a rectangle with an aspect ratio of \varphi—may be cut into a square and a smaller rectangle with the same aspect ratio. The golden ratio has been used to analyze the proportions of natural object ...
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Albuquerque
Albuquerque ( ; ), ; kee, Arawageeki; tow, Vakêêke; zun, Alo:ke:k'ya; apj, Gołgéeki'yé. abbreviated ABQ, is the most populous city in the U.S. state of New Mexico. Its nicknames, The Duke City and Burque, both reference its founding in 1706 as ''La Villa de Alburquerque'' by Nuevo México governor Francisco Cuervo y Valdés''.'' Named in honor of the Viceroy of New Spain, the 10th Duke of Alburquerque, the city was an outpost on El Camino Real linking Mexico City to the northernmost territories of New Spain. Located in the Albuquerque Basin, the city is flanked by the Sandia Mountains to the east and the West Mesa to the west, with the Rio Grande and bosque flowing from north-to-south. According to the 2020 census, Albuquerque had 564,559 residents, making it the 32nd-most populous city in the United States and the fourth largest in the Southwest. It is the principal city of the Albuquerque metropolitan area, which had 916,528 residents as of July 2020, an ...
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Polyhedral Compound
In geometry, a polyhedral compound is a figure that is composed of several polyhedra sharing a common centre. They are the three-dimensional analogs of polygonal compounds such as the hexagram. The outer vertices of a compound can be connected to form a convex polyhedron called its convex hull. A compound is a facetting of its convex hull. Another convex polyhedron is formed by the small central space common to all members of the compound. This polyhedron can be used as the core for a set of stellations. Regular compounds A regular polyhedral compound can be defined as a compound which, like a regular polyhedron, is vertex-transitive, edge-transitive, and face-transitive. Unlike the case of polyhedra, this is not equivalent to the symmetry group acting transitively on its flags; the compound of two tetrahedra is the only regular compound with that property. There are five regular compounds of polyhedra: Best known is the regular compound of two tetrahedra, often calle ...
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600-cell
In geometry, the 600-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol . It is also known as the C600, hexacosichoron and hexacosihedroid. It is also called a tetraplex (abbreviated from "tetrahedral complex") and a polytetrahedron, being bounded by tetrahedral cells. The 600-cell's boundary is composed of 600 tetrahedral cells with 20 meeting at each vertex. Together they form 1200 triangular faces, 720 edges, and 120 vertices. It is the 4- dimensional analogue of the icosahedron, since it has five tetrahedra meeting at every edge, just as the icosahedron has five triangles meeting at every vertex. Its dual polytope is the 120-cell. Geometry The 600-cell is the fifth in the sequence of 6 convex regular 4-polytopes (in order of size and complexity). It can be deconstructed into twenty-five overlapping instances of its immediate predecessor the 24-cell, as the 24-cell can be deconstructed into three overlapping insta ...
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List Of Regular Polytopes
This article lists the regular polytopes and regular polytope compounds in Euclidean geometry, Euclidean, spherical geometry, spherical and hyperbolic geometry, hyperbolic spaces. The Schläfli symbol describes every regular tessellation of an ''n''-sphere, Euclidean and hyperbolic spaces. A Schläfli symbol describing an ''n''-polytope equivalently describes a tessellation of an (''n'' − 1)-sphere. In addition, the symmetry of a regular polytope or tessellation is expressed as a Coxeter group, which Coxeter expressed identically to the Schläfli symbol, except delimiting by square brackets, a notation that is called Coxeter notation. Another related symbol is the Coxeter-Dynkin diagram which represents a symmetry group with no rings, and the represents regular polytope or tessellation with a ring on the first node. For example, the cube has Schläfli symbol , and with its octahedral symmetry, [4,3] or , it is represented by Coxeter diagram . The regular polytopes are ...
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120-cell
In geometry, the 120-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol . It is also called a C120, dodecaplex (short for "dodecahedral complex"), hyperdodecahedron, polydodecahedron, hecatonicosachoron, dodecacontachoron and hecatonicosahedroid. The boundary of the 120-cell is composed of 120 dodecahedral cell (mathematics), cells with 4 meeting at each vertex. Together they form 720 Pentagon, pentagonal faces, 1200 edges, and 600 vertices. It is the 4-Four-dimensional space#Dimensional analogy, dimensional analogue of the regular dodecahedron, since just as a dodecahedron has 12 pentagonal facets, with 3 around each vertex, the ''dodecaplex'' has 120 dodecahedral facets, with 3 around each edge. Its dual polytope is the 600-cell. Geometry The 120-cell incorporates the geometries of every convex regular polytope in the first four dimensions (except the polygons and above). As the sixth and largest regular convex 4-poly ...
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