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Tupper's Self-Referential Formula -- from Wolfram MathWorld

J. Tupper concocted the amazing formula 1/2<|_mod(|_y/(17)_|2^(-17|_x_|-mod(|_y_|,17)),2)_|, where |_x_| is the floor function and mod(b,m) is the mod function, which, when graphed over 0<=x<=105 and n<=y<=n+16 with gives the self-referential "plot" illustrated above. Tupper's formula can be generalized to other desired outcomes. For example, L. Garron (pers. comm.) has constructed generalizations for n=13 to 29.



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Tupper's Self-Referential Formula -- from Wolfram MathWorld

https://mathworld.wolfram.com/TuppersSelf-ReferentialFormula.html

J. Tupper concocted the amazing formula 1/2<|_mod(|_y/(17)_|2^(-17|_x_|-mod(|_y_|,17)),2)_|, where |_x_| is the floor function and mod(b,m) is the mod function, which, when graphed over 0<=x<=105 and n<=y<=n+16 with gives the self-referential "plot" illustrated above. Tupper's formula can be generalized to other desired outcomes. For example, L. Garron (pers. comm.) has constructed generalizations for n=13 to 29.



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https://mathworld.wolfram.com/TuppersSelf-ReferentialFormula.html

Tupper's Self-Referential Formula -- from Wolfram MathWorld

J. Tupper concocted the amazing formula 1/2<|_mod(|_y/(17)_|2^(-17|_x_|-mod(|_y_|,17)),2)_|, where |_x_| is the floor function and mod(b,m) is the mod function, which, when graphed over 0<=x<=105 and n<=y<=n+16 with gives the self-referential "plot" illustrated above. Tupper's formula can be generalized to other desired outcomes. For example, L. Garron (pers. comm.) has constructed generalizations for n=13 to 29.

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      Tupper's Self-Referential Formula -- from Wolfram MathWorld
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      J. Tupper concocted the amazing formula 1/2<|_mod(|_y/(17)_|2^(-17|_x_|-mod(|_y_|,17)),2)_|, where |_x_| is the floor function and mod(b,m) is the mod function, which, when graphed over 0<=x<=105 and n<=y<=n+16 with gives the self-referential "plot" illustrated above. Tupper's formula can be generalized to other desired outcomes. For example, L. Garron (pers. comm.) has constructed generalizations for n=13 to 29.
    • description
      J. Tupper concocted the amazing formula 1/2<|_mod(|_y/(17)_|2^(-17|_x_|-mod(|_y_|,17)),2)_|, where |_x_| is the floor function and mod(b,m) is the mod function, which, when graphed over 0<=x<=105 and n<=y<=n+16 with gives the self-referential "plot" illustrated above. Tupper's formula can be generalized to other desired outcomes. For example, L. Garron (pers. comm.) has constructed generalizations for n=13 to 29.

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      Tupper's Self-Referential Formula -- from Wolfram MathWorld
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      J. Tupper concocted the amazing formula 1/2<|_mod(|_y/(17)_|2^(-17|_x_|-mod(|_y_|,17)),2)_|, where |_x_| is the floor function and mod(b,m) is the mod function, which, when graphed over 0<=x<=105 and n<=y<=n+16 with gives the self-referential "plot" illustrated above. Tupper's formula can be generalized to other desired outcomes. For example, L. Garron (pers. comm.) has constructed generalizations for n=13 to 29.

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      J. Tupper concocted the amazing formula 1/2<|_mod(|_y/(17)_|2^(-17|_x_|-mod(|_y_|,17)),2)_|, where |_x_| is the floor function and mod(b,m) is the mod function, which, when graphed over 0<=x<=105 and n<=y<=n+16 with gives the self-referential "plot" illustrated above. Tupper's formula can be generalized to other desired outcomes. For example, L. Garron (pers. comm.) has constructed generalizations for n=13 to 29.
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