I should call her
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For anyone still on the fence maybe this helps

Aah, thanks that's really cool
Lol what
That made it worse!
Every mug with an ear is already a donut! Stop overcomplicating things!
How much mold is in the bottom? Nobody knows
Someone took BlenderGuru's tutorial too far.
It makes people who like clean dishes and to actually use cups sad lol
I saw this at chapters yesterday and there is no way to clean this thing:

https://www.indigo.ca/products/front-peekaboo-dragon-mug
There’s a hollow behind the dragin, you can’t fit a brush or sponge back there, it doesn’t look like you can put this in the dishwasher… so it’s going to be a bacterial breeding ground.
high pressure water jet :) at least that's not the part to drink from.
I mean at least that’s not on the part of the cup you drink from.
Just put it in your autoclave.
i was thinking to get a sonic cleaning thingy for my glasses, that might work here too
I have one for my sex toys.
pressure wash?
I don't think it's a problem for the washing machine
Nah, they love discussing holes in things.
Fucking perverts.
Three holes
Bacteria love this one simple trick...
How many holes does it have?
I'm guessing two, but I'm no topologist (though I have watched a fair bit of Cliff Stoll...).
I think it's three, the handle, the donut hole, then there's the hole/tunnel formed inside of the cup
EDIT: there seems to be some confusion around what i mean, maybe this illustration will clear it up:

I'm a topologist, and this is correct.
Isn't the 3-torus a 3-dimensional space? The surgace of this mug is two-dimensional. But I agree that it's a "torus with three holes"
At first glance I would have said two, the handle and the donut hole. After reading and considering your answer, I'm pretty confident you're right. The space between the tunnel formed by the donut hole and the mug itself forms an odd hole, but there it is.
Kudos, that's a fun little puzzle.
Okay, if a torus with a single patch of empty space on its surface is two holes, then this is three holes. But now I'm confused, because I don't know if that's true topologically. Otherwise, it's just a two-torus with a perforation on its 2-surface.
Edit: I've been informed by a topologist friend that this has two holes and that the lip of the mug is just a boundary.
Edit 3: Ignore the case below if the lip is a smooth curve. I had a brainfart when thinking through the loop contraction.
Edit 2: So to clarify, that's a boundary if the lip represents an abrupt transition to either side (i.e. if there's no "curve" into and out of the mug).
Since that's less realistic, let's assume that you can smoothly walk from the interior surface of the mug to the exterior and show that it isn't topologically a hole for that case either.

I've created a continuous loop around the two holes and the candidate "lip hole". These loops are embedded in the surface of the mug. You can plainly see that you can't contract the loop to a single point around the handle hole or the donut hole without crossing over the hole.
But now let's take our blue loop (the lip loop) and trivially contract it down to a point.

-
Our loop is on the outside around the lip.
-
Take the loop inside of the lip since this is still a smooth, continous surface. The loop is now on the outer wall of the inner mug.
-
Now bring the loop down toward the bottom along the wall.
-
Contract the loop to a single point at the bottom.
In this case, it isn't even a boundary anymore, and it provably isn't a hole.
It's three. The hole through the center makes a hole around it inside the mug. Your topologist friend took too quick a glance at this.
It comes with a voucher for a free ambulance ride but in order to use it, you have to agree not to sue for genital injuries.
It looks like a mangled, prolapsed fleshlight that Jeffery dahmer would have.
No, it doesn't
Right? A normal mug has one topological hole. This one has 3. Surely that makes it 3 times as topologically interesting as a normal mug.
I think a topologist would love it.
if the topologist works as a dishwasher...
ah :) the cylinder, I see you are a redditor
the seitan belugas at twilight
We will meet again at the hour of scampering