Tupper,s Self-Referential Formula
المؤلف:
Bailey, D. H.; Borwein, J. M.; Calkin, N. J.; Girgensohn, R.; Luke, D. R.; and Moll, V. H
المصدر:
Experimental Mathematics in Action. Wellesley, MA: A K Peters
الجزء والصفحة:
p. 289
4-10-2021
2069
Tupper's Self-Referential Formula
J. Tupper concocted the amazing formula
where 
is the floor function and 
is the mod function, which, when graphed over 
and 
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 
to 29.
REFERENCES:
Bailey, D. H.; Borwein, J. M.; Calkin, N. J.; Girgensohn, R.; Luke, D. R.; and Moll, V. H. Experimental Mathematics in Action. Wellesley, MA: A K Peters, p. 289, 2007.
"Self-Answering Problems." Math. Horizons 13, No. 4, 19, Apr. 2005.
Wagon, S. Problem 14 in http://stanwagon.com/wagon/Misc/bestpuzzles.html.
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