By Mark Frauenfelder at 8:40 am Wed, Aug 15, 2012
Christ, what A HOLE.
Yo dawg …
I was going to say that, but realized it might come out wrong.
But out of which hole?
Is there a name for this sort of construct? It reminds me of a Klein Bottle, but I wonder if it’s a bit different enough that it has its own name…
Correct me if I’m wrong, but I think it’s homeomorphic to a torus (“donut”) ?
I think topologically it is a triple torus, arranged to be cool enough that I want to get a 3D printer and try it out.
Compress it left-right a bit in your head and you can see the inner whole is just two holes. Stretch front-back and do a half-twist of the center and it looks just like the middle triple torus in the wikipedia article.
No, the 3-torus is both 3-dimensional (while this is 2 dimensional) and not embedable in standard 3-space. This is a genus 3 orientable surface.
Edit: I just scrolled down the wikipedia page you linked to and saw that they both have the 3 torus and the genus 3 surface both listed as the “triple torus”. So you are correct. I have to say, as a topologist, wikipedia is the only place I have ever heard this terminology.
“Triple torus” sounds like a very large and decadent doughnut…
That would make an interesting…um, toy.
It would be even more interesting on a golf course green.
Nooooooo! Twisting the fabric of space in this way will destroy us all!
I’m pretty sure apple has recently patented this.
It appears to be a series of tubes.
I dig it. I want a glass one.
TIME CUBE, MOTHERHOLER!!!
Unless tubes have been redefined as holes, this would be a tube through a hole in a tube.
What’s the difference between a tube and a hole? If you squashed that shape flat along one of its dimensions, wouldn’t the hole be unambiguously a hole? What if it were not quite flat but just a millimeter or so thick? If a worm eats through my shirt, hasn’t it just made a really short tube for itself?
it’s kind of like obscenity. i can’t really define a hole, but I know it when i see it.
ok, seriously? i don’t know the definition of a hole. but i guess in MY mind it’s a gap in a plane. a hole may be defined by a place where a gap in a plane starts a tube, but the hole itself is just the gap in the plane. but i have zero anything to back that up.
A tube without a hole is not a tube. The tube contains the hole. A hole must allow for the passage of objects from one place to another, therefore, we can say that the tube is either:
1. an enclosed space with two holes, both leading inside
2. two holes joined by a tunnel
3. a single hole running through the length of the object.
Actually, I have no idea what that proves. Go ask Jeremy Hillary Ph.D.
As in worm-tube, rabbit-tube, bore-tube, moho… um, tube?
Christ, what an asstube.
I predict sometime in our lifetime we will have a hole through a hole through a hole in a hole. And as we approach the singularity, we will go deeper.
Related without holes:
and with many holes:
Liked for probable accuracy.
Woo-head guest at party: Y’know (whispered in an awed voice) the Navaho have a really weird language. It’s *so* weird that they have a special word for the holey bit inside a tube.
Me: Of course, so does English. Bore.
This is from “Mathematics and the Imagination”, a 1940 book by Edward Kasner (and James R. Newman). By the way, this was the book that introduced the word “googol”…
Swiftly, to the 3D printer and some shiny transparent tinted stuff!
Am I the only one who just see the hole thru the hole but not the hole they’re in ? Unless I see the hole in the hole (so these two holes) but not the one to go thru…
The second “hole” in the list is a negative hole, i.e. the solid area where one hole splits into two tunnels.
You mean, be’hole’d
Why do I look at that and see underpants?
Is this to be found on the bottom of the bottom in the bottom of the sea?
“…any whole hole with a hole bitten in it
Is a holey whole hole,
And it Just… Plain… ISN’T!”
(From a doughnut song in Homer Price, as recalled)
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