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On Growth and Form is a book by the Scottish mathematical biologist D'Arcy Wentworth Thompson (1860–1948). The book is long – 793 pages in the first edition of 1917, 1116 pages in the second edition of 1942.
A voxel is a three-dimensional counterpart to a pixel.It represents a value on a regular grid in a three-dimensional space.Voxels are frequently used in the visualization and analysis of medical and scientific data (e.g. geographic information systems (GIS)). [1]
A dodecagram is a 12-sided star polygon, represented by symbol {12/n}. There is one regular star polygon : {12/5}, using the same vertices, but connecting every fifth point. There are also three compounds: {12/2} is reduced to 2{6} as two hexagons , and {12/3} is reduced to 3{4} as three squares , {12/4} is reduced to 4{3} as four triangles ...
[1]: 416 The geometry of the central atoms and their non-bonding electron pairs in turn determine the geometry of the larger whole molecule. The number of electron pairs in the valence shell of a central atom is determined after drawing the Lewis structure of the molecule, and expanding it to show all bonding groups and lone pairs of electrons.
Thus, in Euclidean geometry, the shortest distance between two points is a straight line. In spherical geometry , the shortest distance between two points is an arc of a great circle , but the triangle inequality holds provided the restriction is made that the distance between two points on a sphere is the length of a minor spherical line ...
The cells in the paper nests of social wasps, and the wax cells in honeycomb built by honey bees are well-known examples. Among animals, bony fish, reptiles or the pangolin , or fruits like the salak are protected by overlapping scales or osteoderms , these form more-or-less exactly repeating units, though often the scales in fact vary ...
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