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  2. Rhind Mathematical Papyrus - Wikipedia

    en.wikipedia.org/wiki/Rhind_Mathematical_Papyrus

    Also bear in mind that the fraction 2/3 is the single exception, used in addition to integers, that Ahmes uses alongside all (positive) rational unit fractions to express Egyptian fractions. The 2/n table can be said to partially follow an algorithm (see problem 61B) for expressing 2/n as an Egyptian fraction of 2 terms, when n is composite.

  3. Packing problems - Wikipedia

    en.wikipedia.org/wiki/Packing_problems

    An a × b rectangle can be packed with 1 × n strips if and only if n divides a or n divides b. [ 15 ] [ 16 ] de Bruijn's theorem : A box can be packed with a harmonic brick a × a b × a b c if the box has dimensions a p × a b q × a b c r for some natural numbers p , q , r (i.e., the box is a multiple of the brick.) [ 15 ]

  4. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    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.

  5. Circle packing - Wikipedia

    en.wikipedia.org/wiki/Circle_packing

    In practice, suboptimal rectangular packings are often used to simplify decoding. Circle packing has become an essential tool in origami design, as each appendage on an origami figure requires a circle of paper. [12] Robert J. Lang has used the mathematics of circle packing to develop computer programs that aid in the design of complex origami ...

  6. Silver ratio - Wikipedia

    en.wikipedia.org/wiki/Silver_ratio

    The silver ratio is a Pisot–Vijayaraghavan number (PV number), as its conjugate 1 − √ 2 = ⁠ −1 δS⁠ ≈ −0.41421 has absolute value less than 1. In fact it is the second smallest quadratic PV number after the golden ratio. This means the distance from δ n. S to the nearest integer is ⁠ 1 δ n. S⁠ ≈ 0.41421n. Thus, the ...

  7. Square root of 2 - Wikipedia

    en.wikipedia.org/wiki/Square_root_of_2

    The square root of 2 (approximately 1.4142) is a real number that, when multiplied by itself or squared, equals the number 2. It may be written in mathematics as or . It is an algebraic number, and therefore not a transcendental number.

  8. Number Forms - Wikipedia

    en.wikipedia.org/wiki/Number_Forms

    Number Forms is a Unicode block containing Unicode compatibility characters that have specific meaning as numbers, but are constructed from other characters. They consist primarily of vulgar fractions and Roman numerals. In addition to the characters in the Number Forms block, three fractions (¼, ½, and ¾) were inherited from ISO-8859-1 ...

  9. Geometric Shapes (Unicode block) - Wikipedia

    en.wikipedia.org/wiki/Geometric_Shapes_(Unicode...

    Geometric Shapes Extended. Halfwidth and Fullwidth Forms. Miscellaneous Symbols and Arrows (Unicode block) includes more geometric shapes. Miscellaneous Symbols and Pictographs (Unicode block) includes several geometric shapes of different colors. Mathematical operators and symbols in Unicode. Symbols for Legacy Computing.

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