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  2. Fold-and-cut theorem - Wikipedia

    en.wikipedia.org/wiki/Fold-and-cut_theorem

    Examples mentioned by Gardner include separating the red squares from the black squares of a checkerboard with one cut, and "an old paper-cutting stunt, of unknown origin" in which one cut splits a piece of paper into both a Latin cross and a set of smaller pieces that can be rearranged to spell the word "hell". Foreshadowing work on the ...

  3. Hex map - Wikipedia

    en.wikipedia.org/wiki/Hex_map

    Free online hexagonal graph paper PDF generator; Hexographer, a program for making role-playing game wilderness hex maps in a "classic" style; Hextml, an online program to make hex maps; GM Friend hex mapping tool, an online program to make hex maps with a random map generator; RedBlobGames, Hexagonal Grids, a reference for hexagonal grid ...

  4. Ulam spiral - Wikipedia

    en.wikipedia.org/wiki/Ulam_spiral

    The Ulam spiral or prime spiral is a graphical depiction of the set of prime numbers, devised by mathematician Stanisław Ulam in 1963 and popularized in Martin Gardner's Mathematical Games column in Scientific American a short time later. [1] It is constructed by writing the positive integers in a square spiral and specially marking the prime ...

  5. Magic square - Wikipedia

    en.wikipedia.org/wiki/Magic_square

    Lastly the four rhomboids that form elongated crosses also give the magic sum: 23+1+9+24+8, 15+1+17+20+12, 14+1+18+13+19, 7+1+25+22+10. Such squares with 1 at the center cell are also called God's magic squares in Islamic amulet design, where the center cell is either left blank or filled with God's name. [26]

  6. Mathematics of paper folding - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_paper_folding

    [19] [20] Surprisingly few folds are necessary to generate large odd fractions. For instance 1 ⁄ 5 can be generated with three folds; first halve a side, then use Haga's theorem twice to produce first 2 ⁄ 3 and then 1 ⁄ 5. The accompanying diagram shows Haga's first theorem: = +.

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