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The missing square puzzle is an optical illusion used in mathematics classes to help students reason about geometrical figures; or rather to teach them not to reason using figures, but to use only textual descriptions and the axioms of geometry. It depicts two arrangements made of similar shapes in slightly different configurations.
One of the six 2-rep-tiles in the plane (can be tiled by two copies of itself, of equal size). [13] [14] 1.26: Hénon map: The canonical Hénon map (with parameters a = 1.4 and b = 0.3) has Hausdorff dimension 1.261 ± 0.003. Different parameters yield different dimension values.
In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions, either between 0 and 1, or without this restriction, [a] which when in lowest terms have denominators less than or equal to n, arranged in order of increasing size. With the restricted definition, each Farey sequence starts with the value 0, denoted ...
A fractal is formed when pulling apart two glue-covered acrylic sheets. High-voltage breakdown within a 4 in (100 mm) block of acrylic glass creates a fractal Lichtenberg figure. Romanesco broccoli, showing self-similar form approximating a natural fractal. Fractal defrosting patterns, polar Mars.
Frieze group. In mathematics, a frieze or frieze pattern is a two-dimensional design that repeats in one direction. The term is derived from architecture and decorative arts, where such repeating patterns are often used. (See frieze.) Frieze patterns can be classified into seven types according to their symmetries.
The Rhind Mathematical Papyrus, [1] [2] an ancient Egyptian mathematical work, includes a mathematical table for converting rational numbers of the form 2/ n into Egyptian fractions (sums of distinct unit fractions ), the form the Egyptians used to write fractional numbers. The text describes the representation of 50 rational numbers.
Given four indices i 1 ≤ i 2 and j 1 ≤ j 2, the set E(i 1,i 2,j 1,j 2) contains the indices of all rectangles whose bottom-left corner is in the rectangle [x i 1,x i 2] X [y p (j1),y p (j2)]. A cutting pattern is a guillotine pattern if and only if, for all quadruplets of indices i 1 ≤ i 2 and j 1 ≤ j 2, at least one of the following ...
Cycles of the unit digit of multiples of integers ending in 1, 3, 7 and 9 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad. Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5.
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