[Archive!] Pure mathematics, physics, chemistry, etc.: brain-training problems not related to trade in any way - page 615

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How can graphs of a hexagonal lattice be traversed with as few thread breaks as possible?
each edge can only be traversed once.
For thousandths of a percent - not necessary. But, 120 deals is a lot, it should be possible to calculate for a small number of deals, for example - for 20, 30, 40. And 30% is low for 120.
And very small probabilities (very large) are used to calculate the approximate lifetime of the system. It is important to know how long it will last - a year or 10 years.
Is there something to rely on? Mathematics is the best way to go.
Look up reliability theory, that's where your problem comes from. As far as I remember, there are plenty of examples.
How can graphs of a hexagonal lattice be traversed with as few thread breaks as possible?
each edge can only be traversed once.
Maybe there's a link to a good book?
I can't give you the link, but I don't think it's too hard to find it on the internet. Search for "Reliability Theory" and focus on "technical systems".
I'll look through my books that I studied (a long time ago), maybe I'll find... then I'll tell you the names of the books, if I still need them.
What do you think the purpose of this device is?
A variation on the Klein bottle?
Everyone is looking at it like that and no one can answer the question of why it's needed.