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Example of application of the theorem with eight sectors: by cutting the pizza along the blue lines and, alternately taking one slice each, proceeding clockwise or counterclockwise, two diners eat the same amount (measured in area) of pizza. Proof without words for 8 sectors by Carter & Wagon (1994a).
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)
Monge's theorem – The intersections of the 3 pairs of external tangent lines to 3 circles are collinear; Mrs. Miniver's problem – Problem on areas of intersecting circles; Pivot theorem – Concerns 3 circles through triples of points on the vertices and sides of a triangle; Pizza theorem – Equality of areas of a sliced disk
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.
As another example, when you decide to order pizza, you must first choose the type of crust: thin or deep dish (2 choices). Next, you choose one topping: cheese, pepperoni, or sausage (3 choices). Using the rule of product, you know that there are 2 × 3 = 6 possible combinations of ordering a pizza.
A pizza parlor in New York City. The Pizza Principle, or the Pizza-Subway Connection, in New York City, is a humorous but generally historically accurate "economic law" proposed by native New Yorker Eric M. Bram. [1] He noted, as reported by The New York Times in 1980, that from the early 1960s "the price of a slice of pizza has matched, with uncanny precision, the cost of a New York subway ride."
A fact from Pizza theorem appeared on Wikipedia's Main Page in the Did you know column on 24 December 2009 (check views).The text of the entry was as follows: Did you know... that, according to the pizza theorem, a circular pizza that is sliced off-center into eight equal-angled wedges can still be divided equally between two people?