Thinking about it, humans have one less hole than I would’ve guessed, since the tube from our mouth to our anus sort of makes us a complicated straw.
The human body is just a series of tubes.
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 unless we are talking about the game storage medium which used to be a CD which is also homotopic to a circle
You are talking about a straw of zero wall thickness right? A real straw should be homo-whatever to a torus
Wouldn’t a straw be the product of a circle and a line?
This is one of those “if you cut a hole in a net, it then has less holes than before” type arguments and I’m all here for it.
One of my friends is a Taurus as well. He’s a car.
How many holes does he have?
At least 5. I’m unwilling to do a more thorough count, tho.
How about a pair of jeans?
If anyone wants to see an entertaining mathematician talk about this exact topic for 30 minutes, here you go:
And here’s Michael from VSauce talking about the topic:
The average person is a straw.
This is a strawman argument.
Not really, they’re some sort of tube, but they don’t classify as straws
I’m a series of tubes!
You’re the Internet?
A circle is a plane folded on itself so the answer is technically 0 holes. But first what is a hole?
a sphere is a plane folded in on itself, and spheres have no (one-dimensional) holes. but spheres do have a two-dimensional hole, which is basically a way of saying they’re hollow.
a circle is a line folded in on itself, and circles have one (one-dimensional) hole.
edit: the claim that circles and straws are homotopic is basically a fancy way of saying: “if you place a straw upright on a table and flatten it by smashing your hand down on it, you will end up with a circle.”
A goal?
Reminds me of the old “Are there more doors or wheels in the world?” question
Definitely wheels. All that machinery with wheels for the belts, all transportation, toys, … I can’t fathom there being as many doors.
Unless I’m wooshed :D
The answer is “yes”.
Zero
🕳
What size does a hole need to be to be a hole
Twice as big as half a hole, obviously.
In theory, the smallest hole possible would be a ring of atoms combined into a molecule with an empty center
benzene got that nanopussy
That is one way of putting it, a bit crude though…
I imagine you with a monocle and a top hat
S¹ × [0, L]
I don’t understand why a circle has one/a hole though.I don’t even know what a hole is.Edit: Ok, circles might not have holes, they have interiors?
Make sure you’re distinguishing between a circle and a disc.
What specifically constitutes a hole is somewhat ambiguous, but if you pull on the thread a bit, you’ll probably agree that it’s a topological quality and that homotopy groups and homology are good candidates. The most grounded way to approach the topic is with simplicial homology.
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