keeping count (with photos)

sometimes i am surprised that i am a mathematician. i seem unable to keep count of anything discrete, whether it be scores in games of pick-up basketball, cards shown face up while playing bridge ..

.. or the scales for dyadi¢ intervals,
in midst of self-similar constructions.

woe is me,
if there are two sets of scales running!

despite the anonymous pixelisation,
my woe is readily apparent.

my notes are that of an uncertain man: indices (and diagrams) are clearly labeled, in efforts to ensure that the right quantities vanish or march towards infinity ..

a sawtooth function at one set of scales,
then dyadic intervals at another scale..

.. as, too often, i make errors and find errors.