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Steinhaus–Moser notation
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== Definitions == :[[image:Triangle-n.svg|20px|n in a triangle]] a number {{math|<VAR >n</VAR >}} in a '''triangle''' means {{math|<VAR >n<sup>n</sup></VAR >}}. :[[image:Square-n.svg|20px|n in a square]] a number {{math|<VAR >n</VAR >}} in a '''square''' is equivalent to "the number {{math|<VAR >n</VAR >}} inside {{math|<VAR >n</VAR >}} triangles, which are all nested." :[[image:Pentagon-n.svg|20px|n in a pentagon]] a number {{math|<VAR >n</VAR >}} in a '''pentagon''' is equivalent to "the number {{math|<VAR >n</VAR >}} inside {{math|<VAR >n</VAR >}} squares, which are all nested." etc.: {{math|<VAR >n</VAR >}} written in an ({{math|<VAR >m</VAR > + 1}})-sided polygon is equivalent to "the number {{math|<VAR >n</VAR >}} inside {{math|<VAR >n</VAR >}} nested {{math|<VAR >m</VAR >}}-sided polygons". In a series of nested polygons, they are [[Association (mathematics)|associated]] inward. The number {{math|<VAR >n</VAR >}} inside two triangles is equivalent to {{math|<VAR >n<sup>n</sup></VAR >}} inside one triangle, which is equivalent to {{math|<VAR >n<sup>n</sup></VAR >}} raised to the power of {{math|<VAR >n<sup>n</sup></VAR >}}. Steinhaus defined only the triangle, the square, and the '''circle''' [[image:Circle-n.svg|20px|n in a circle]], which is equivalent to the pentagon defined above.
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