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Hirschhorn et al. (1999) show that a pizza sliced in the same way as the pizza theorem, into a number n of sectors with equal angles where n is divisible by four, can also be shared equally among n/4 people. For instance, a pizza divided into 12 sectors can be shared equally by three people as well as by two; however, to accommodate all five of ...
Pitot theorem (plane geometry) Pizza theorem ; Pivot theorem ; Planar separator theorem (graph theory) Plancherel theorem (Fourier analysis) Plancherel theorem for spherical functions (representation theory) Poincaré–Bendixson theorem (dynamical systems) Poincaré–Birkhoff–Witt theorem (universal enveloping algebras)
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An application of the theorem is seen when a flat object is somewhat folded or bent along a line, creating rigidity in the perpendicular direction. This is of practical use in construction, as well as in a common pizza-eating strategy: A flat slice of pizza can be seen as a surface with constant Gaussian curvature 0. Gently bending a slice must ...
The maximum number of pieces from consecutive cuts are the numbers in the Lazy Caterer's Sequence. When a circle is cut n times to produce the maximum number of pieces, represented as p = f (n), the n th cut must be considered; the number of pieces before the last cut is f (n − 1), while the number of pieces added by the last cut is n.
We could combine both the eight and twelve sector subdivisions into a single side-by-side image and save a lot of space; perhaps we could use the saved space to add a picture of some actual pizza (there are plenty on commons: commons:Category:Pizza). —David Eppstein 19:59, 21 December 2009 (UTC) Here is a grey-and-white SVG version.
File:Pizza theorem1.jpg, File:Pizza-theorem-8-b.svg: SVG development . The SVG code is . This geometry was created with a text editor. Please do ...
Pakistan Institute of Nuclear Science & Technology-- Pakistan Mathematical Society-- Pakistan Statistical Society-- Palais–Smale compactness condition-- Palais theorem-- Palatini identity-- Paley construction-- Paley graph-- Paley–Wiener integral-- Paley–Wiener theorem-- Paley–Zygmund inequality-- Palindromic number-- Palindromic prime-- Palm calculus-- Palm–Khintchine theorem-- Pan ...