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Here's the question for May 8th from the AMS Daily Epsilon of Math Calendar. For those unfamiliar with the calendar, the answer is always the day of the month. Looking for imaginative solutions is the aim.
I feel as though the intersection of #mathstodon and #knitting will say, "yes of course", but it's still an enjoyable passage.
"knitting, at its core, is a method of transforming a one-dimensional strand of yarn into a structured, flexible two-dimensional sheet, which can then fold itself into complex three-dimensional shapes. The researchers realized that this transformation could be described mathematically using the same principles that govern how surfaces curve in space."
phys.org/news/2025-02-theoreti…
What can theoretical physics teach us about knitting?
The practice of purposely looping thread to create intricate knit garments and blankets has existed for millennia.Nathi Magubane (Phys.org)
OTOH, if every finite sequence of arbitrary digits is represented in pi, then we should be able to find in pi a representation of, say, Euler's number to any given precision...
3/3 Enough for now. I don't have the math-fu to know if I'm being rational.
Is there at least one finite sequence of digits that isn't represented in pi? If so, there are probably an infinite set of finite sequences of arbitrary numbers not represented in pi.
*something something* Cantor's infinite set of infinite sets...
2/
I'll bite, but not about the IP part.
Just because an irrational number's digits continue indefinitely without ever repeating, does that necessarily mean that it contains every arbitrary finite sequence of digits?
1/