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TESSERACT
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- The square is two-dimensional (2D) and bounded by one-dimensional line segments; the cube is three-dimensional (3D) and bounded by two-dimensional squares; the tesseract is four-dimensional (4D) and bounded by three-dimensional cubes.
- In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube.
- The Grande Arche is in the approximate shape of a cube with a width, height, and depth of ; it has been suggested that the structure looks like a hypercube (a tesseract) projected onto the three-dimensional world.
- The story is about a mathematically inclined architect named Quintus Teal who has what he thinks is a brilliant idea to save on real estate costs by building a house shaped like the unfolded net of a tesseract.
- Dorsey was editor-in-chief of The Books Collective (River, Slipstream and Tesseract Books) from 1992 through 2005.
- The 24-cell and the tesseract are the only convex regular 4-polytopes in which the edge length equals the radius.
- The 24-cell can be further generated using three copies of the 8-cell, where the 24-cell honeycomb is dual to the 16-cell honeycomb (with the tesseract the dual polytope to the 16-cell).
- The dual polytope is the tesseract (4-cube), which it can be combined with to form a compound figure.
- Despite his deteriorating health, Hendricks continued his work with magic hypercubes, achieving during this time: the first perfect magic tesseract (order 16), in April 1999; the first order 32 perfect magic tesseract; the first inlaid magic tesseract (order 6 with inlaid order 3) in October 1999; and the first bimagic cube (order 25), June 2000.
- On 17 March 2017, St Patrick's Day, Devin Townsend made a complete play through of the album Ocean Machine, twenty years after its first release; supported by Leprous and Tesseract.
- In four-dimensional geometry, a runcinated tesseract (or runcinated 16-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular tesseract.
- Protest the Hero was the third band announced to be playing at Australia's Soundwave in February/March 2011, and in March and April of that year the band supported the Scurrilous album, headlining a tour across Canada and the United States with Maylene & The Sons Of Disaster and TesseracT.
- In four-dimensional geometry, a cantellated tesseract is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular tesseract.
- The bitruncated tesseract, bitruncated 16-cell, or tesseractihexadecachoron is constructed by a bitruncation operation applied to the tesseract.
- In geometry, the rectified tesseract, rectified 8-cell is a uniform 4-polytope (4-dimensional polytope) bounded by 24 cells: 8 cuboctahedra, and 16 tetrahedra.
- Within one of his primary tesseract labs, Threnody was connected to Sinister's systems which directed her empathic powers to locate and track mutants around the world who were afflicted with the Legacy Virus.
- The tesseract collapses and ejects Cooper and TARS out of the wormhole, where they are rescued by an O'Neill cylinder colony in the year 2156.
- This is 5 sides for a 5-cell, 8 sides for a tesseract and 16-cell, 12 sides for a 24-cell, and 30 sides for a 120-cell and 600-cell.
- In four dimensions, there are 6 convex regular 4-polytopes, 17 prisms on the Platonic and Archimedean solids (excluding the cube-prism, which has already been counted as the tesseract), and two infinite sets: the prisms on the convex antiprisms, and the duoprisms.
- Tesseract is suitable for use as a backend and can be used for more complicated OCR tasks including layout analysis by using a frontend such as OCRopus.
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