A place for majestic STEMLORD peacocking, as well as memes about the realities of working in a lab.
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This is a science community. We use the Dawkins definition of meme.
a torus is not homotopic to a straw though unless you take the straw and glue it at its ends. a straw is homotopic to a circle, a torus is homotopic to product of two circles, Baldur's gate is homotopic to a disk which is homotopic to a point unless we are talking about the game storage medium which used to be a CD which is also homotopic to a circle
Wouldn’t a straw be the product of a circle and a line?
What you said is stronger than being homotopic. homotopic is weaker, for instance a line is homotopic to a point, By taking the straw (even if it has thickness) and just shrinking it along its longer axis you eventually arrive at a circle. If it has thickness you will arrive at a band and then you can also retract radially to arrive at a circle.
I think people don't know a torus is hollow.
A CD is clearly homotopic to a torus, though...
And the walls of a straw do have thickness...
A straw goes:
Gas - solid - gas - solid - gas
Zero
The true answer involves integrals imo (my calc is rusty so I'm not gonna bother trying lol)
Think of a box with an arrangement of holes that allows us to look through it if we are correctly positioned.
Would anyone dare to say that such a thing is possible to achieve with only one hole? (I'm not allowing holes in corners and edges to make my point)
A straw has 2 holes.