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  2. Bent's rule - Wikipedia

    en.wikipedia.org/wiki/Bent's_rule

    Shape of water molecule showing that the real bond angle 104.5° deviates from the ideal sp 3 angle of 109.5°. In chemistry, Bent's rule describes and explains the relationship between the orbital hybridization and the electronegativities of substituents. [1] [2] The rule was stated by Henry A. Bent as follows: [2]

  3. Constructive solid geometry - Wikipedia

    en.wikipedia.org/wiki/Constructive_solid_geometry

    These half-spaces are used to describe primitives that can be combined to get the final model. [7] Another approach decouples the detection of primitive shapes and the computation of the CSG tree that defines the final model. This approach exploits the ability of modern program synthesis tools to find a CSG tree with minimal complexity. [8]

  4. Chirality - Wikipedia

    en.wikipedia.org/wiki/Chirality

    Two enantiomers of a generic amino acid that is chiral. Chirality (/ k aɪ ˈ r æ l ɪ t i /) is a property of asymmetry important in several branches of science. The word chirality is derived from the Greek χείρ (kheir), "hand", a familiar chiral object.

  5. Periodic table of shapes - Wikipedia

    en.wikipedia.org/wiki/Periodic_table_of_shapes

    It aims to categorise all three-, four- and five-dimensional shapes into a single table, analogous to the periodic table of chemical elements. It is meant to hold the equations that describe each shape and, through this, mathematicians and other scientists expect to develop a better understanding of the shapes’ geometric properties and relations.

  6. Academic Torrents - Wikipedia

    en.wikipedia.org/wiki/Academic_Torrents

    Academic Torrents [1] [2] [3] [4] [5] [6] is a website which enables the sharing of research data using the BitTorrent protocol. The site was founded in November 2013 ...

  7. Quantum geometry - Wikipedia

    en.wikipedia.org/wiki/Quantum_geometry

    Each theory of quantum gravity uses the term "quantum geometry" in a slightly different fashion. String theory, a leading candidate for a quantum theory of gravity, uses it to describe exotic phenomena such as T-duality and other geometric dualities, mirror symmetry, topology-changing transitions [clarification needed], minimal possible distance scale, and other effects that challenge intuition.

  8. Crystal twinning - Wikipedia

    en.wikipedia.org/wiki/Crystal_twinning

    The third is deformation twinning, in which twinning develops in a crystal in response to a shear stress, and is an important mechanism for permanent shape changes in a crystal. Definition [ edit ]

  9. Elongated hexagonal bipyramid - Wikipedia

    en.wikipedia.org/wiki/Elongated_hexagonal_bipyramid

    This polyhedron is in the family of elongated bipyramids, of which the first three can be Johnson solids: J 14, J 15, and J 16.The hexagonal form can be constructed by all regular faces but is not a Johnson solid because 6 equilateral triangles would form six co-planar faces (in a regular hexagon).