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  2. Hoberman mechanism - Wikipedia

    en.wikipedia.org/wiki/Hoberman_mechanism

    Multiple of these linkages can be joined together at the ends of the angulated bars by more revolute joints, expanding radially to make circle shaped mechanisms. The mechanism is a GAE (generalize angulated element) where the coupler curve is a radial straight line. [ 2 ]

  3. Hoberman sphere - Wikipedia

    en.wikipedia.org/wiki/Hoberman_sphere

    A Hoberman Sphere at the National Museum of American History Second largest Hoberman sphere in the world, undergoing maintenance at Liberty Science Center. A Hoberman sphere is a kinetic structure patented by Chuck Hoberman that resembles a geodesic dome, but is capable of folding down to a fraction of its normal size by the scissor-like action of its joints.

  4. Logarithmic spiral - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_spiral

    In these cases, the reason may be construction from expanding similar shapes, as is the case for polygonal figures. Logarithmic spiral beaches can form as the result of wave refraction and diffraction by the coast. Half Moon Bay (California) is an example of such a type of beach. [15]

  5. The Expanding Circle - Wikipedia

    en.wikipedia.org/wiki/The_Expanding_Circle

    The Expanding Circle's longest chapter concerns the relationship between reason and ethics. [2] Singer discusses the relationship between biological capacity for altruism and morality. He argues that altruism, when directed to one's small circle of family, tribe or even nation, is not moral, but it becomes so when applied to wider circles.

  6. Braj Kachru - Wikipedia

    en.wikipedia.org/wiki/Braj_Kachru

    Finally, the expanding circle encompasses those countries where English plays no historical or governmental role, but where it is nevertheless widely used as a foreign language or lingua franca. [ citation needed ] This includes much of the rest of the world's population, including China , Russia , Japan , most of Europe , Korea , Egypt ...

  7. File:Circle structures.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Circle_structures.pdf

    This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. If the file has been modified from its original state, some details may not fully reflect the modified file.

  8. File:Circle.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Circle.pdf

    You are free: to share – to copy, distribute and transmit the work; to remix – to adapt the work; Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made.

  9. Arnold's cat map - Wikipedia

    en.wikipedia.org/wiki/Arnold's_cat_map

    The lines with the arrows show the direction of the contracting and expanding eigenspaces In mathematics , Arnold's cat map is a chaotic map from the torus into itself, named after Vladimir Arnold , who demonstrated its effects in the 1960s using an image of a cat, hence the name. [ 1 ]

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