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  2. Divine Proportions: Rational Trigonometry to Universal Geometry

    en.wikipedia.org/wiki/Divine_Proportions:...

    The book was "essentially self-published" [1] by Wildberger through his publishing company Wild Egg. The formulas and theorems in the book are regarded as correct mathematics but the claims about practical or pedagogical superiority are primarily promoted by Wildberger himself and have received mixed reviews.

  3. Talk:Divine Proportions: Rational Trigonometry to Universal ...

    en.wikipedia.org/wiki/Talk:Divine_Proportions:...

    Having attending several of Norman Wildeberger's talks, the rationale behind rational trigonometry is that the concept of an angle belongs to a circle (ie, Euler's formula), and that the concept of spread is far more natural for a triangle (c.f. Thales' theorem). Angles and distance also break down in fields other than the real numbers, whereas ...

  4. Wildberger - Wikipedia

    en.wikipedia.org/wiki/Wildberger

    Wildberger is a surname. Notable people with the surname include: Ed Wildberger, Missouri politician; Jacques Wildberger, Swiss composer; Norman J. Wildberger, mathematician known for rational trigonometry; Tina Wildberger, Hawaii politician

  5. Talk:Norman Wildberger - Wikipedia

    en.wikipedia.org/wiki/Talk:Norman_Wildberger

    I just created this article, because Wildberger clearly needed an article, as he has made an important contribution to mathematics with his new subject known as "rational trigonometry."Dratman 01:56, 17 September 2011 (UTC) I think there have been changes since the Wikipedia:Articles for deletion/Norman J. Wildberger discussion. Wildberger is ...

  6. Rational variety - Wikipedia

    en.wikipedia.org/wiki/Rational_variety

    Lüroth's problem concerns subextensions L of K(X), the rational functions in the single indeterminate X. Any such field is either equal to K or is also rational, i.e. L = K(F) for some rational function F. In geometrical terms this states that a non-constant rational map from the projective line to a curve C can only occur when C also has genus 0.

  7. Simplicial complex - Wikipedia

    en.wikipedia.org/wiki/Simplicial_complex

    For instance, if Δ is the boundary of the octahedron, then its f-vector is (1, 6, 12, 8), and if Δ is the first simplicial complex pictured above, its f-vector is (1, 18, 23, 8, 1). A complete characterization of the possible f -vectors of simplicial complexes is given by the Kruskal–Katona theorem .

  8. Rational surface - Wikipedia

    en.wikipedia.org/wiki/Rational_surface

    In algebraic geometry, a branch of mathematics, a rational surface is a surface birationally equivalent to the projective plane, or in other words a rational variety of dimension two. Rational surfaces are the simplest of the 10 or so classes of surface in the Enriques–Kodaira classification of complex surfaces, and were the first surfaces to ...

  9. Folk theorem (game theory) - Wikipedia

    en.wikipedia.org/wiki/Folk_theorem_(game_theory)

    The folk theorem in this case is very simple and contains no pre-conditions: every individually rational and feasible payoff profile in the basic game is a Nash equilibrium payoff profile in the repeated game. The proof employs what is called a grim [5] or grim trigger [6] strategy. All players start by playing the prescribed action and ...