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.

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