Author Topic: The funny/strange/interesting/random pictures thread  (Read 2759363 times)

Offline AsherO

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Re: The funny/strange/interesting/random pictures thread
« Reply #11820 on: April 15, 2021, 12:47:18 PM »
Grind them up and fit much more in the box :P

You’re onto something here. The original author didn’t consider that doughnuts are three dimensional and only calculated based on a two-dimensional doughnut shape. It would vary by exactly how the square vs. round doughnuts are shaped, but even with the same sized holes as his measurements, it’s possible for three-dimensional square doughnuts to be more than 27% bigger due to the squared edge.

Assuming the round doughnuts are exactly round on their axis (I don’t even know how you accurately describe the circumference of the side of the doughnut), and the square doughnuts are exactly square/cubed, you can:
- Learn trig (?) and calculate the three-dimensional differential, way above my pay grade.
- Spray the doughnuts so they’re sealed and don’t absorb water, and see how much water they each displace to figure out their mass
- Follow etech0’s example and crumb them up, and compare the crumb masses for an approximate differential
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Offline Moshe123

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Offline TimT

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Re: The funny/strange/interesting/random pictures thread
« Reply #11822 on: April 15, 2021, 01:09:43 PM »
I suspect you’re mistaken. Wouldn’t it all depend on the relative size of the hole compared to the size of the doughnut itself?

If it all depended only on the size of the hole (and not the size of doughnut), then it would be the same % difference between square and round for a massive doughnut or a standard doughnut would be the same, as long as the holes were the same size.
Just weigh both holes.

Offline Yehudaa

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Re: The funny/strange/interesting/random pictures thread
« Reply #11823 on: April 15, 2021, 01:35:09 PM »
The way I understand it.
Place the square and round donuts on top of each other.
The corners of the square donut stick out further than the round one.
But the hole of the square donut also 'sticks out' further than the hole of the round one, and has more donut missing.
But the outer edge of the donuts are larger than the inner edge by the hole.
So there's more extra donut there (at the outer edge) than is missing (at the inner edge/ hole).
This is starting to sound like maseches sukkah.

Offline etech0

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Re: The funny/strange/interesting/random pictures thread
« Reply #11824 on: April 15, 2021, 01:36:51 PM »
Just weigh both holes.
Or fill two boxes with donuts and weigh them both
Workflowy. You won't know what you're missing until you try it.

Online Yo ssi

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Re: The funny/strange/interesting/random pictures thread
« Reply #11825 on: April 15, 2021, 03:26:22 PM »
Why does the doughnut need a whole altogether?🧐
_    ,
' )  /
 /  / __   _   _   o
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Offline Dan

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Re: The funny/strange/interesting/random pictures thread
« Reply #11826 on: April 15, 2021, 03:29:16 PM »
Why does the doughnut need a whole altogether?🧐
Only want a half?
Save your time, I don't answer PM. Post it in the forum and a dedicated DDF'er will get back to you as soon as possible.

Offline biobook

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Re: The funny/strange/interesting/random pictures thread
« Reply #11827 on: April 15, 2021, 03:41:31 PM »
Or fill two boxes with donuts and weigh them both
Or send me two boxes of donuts, one rounds and one squares.  I'll weigh myself before and after eating each one.  By comparing the results, we'll know.... something or other.  What was the question again?

Offline AsherO

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Re: The funny/strange/interesting/random pictures thread
« Reply #11828 on: April 15, 2021, 03:50:52 PM »
Just weigh both holes.
Or fill two boxes with donuts and weigh them both

OP was talking about mass and volume, not weight.
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Offline AsherO

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Re: The funny/strange/interesting/random pictures thread
« Reply #11829 on: April 15, 2021, 03:51:34 PM »
Only want a half?

@Yo ssi, likes to see things in halves...
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Offline etech0

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Re: The funny/strange/interesting/random pictures thread
« Reply #11830 on: April 15, 2021, 04:48:47 PM »
Only want a half?
when you break them in half, all the calories fall out
Workflowy. You won't know what you're missing until you try it.

Offline yos9694

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Re: The funny/strange/interesting/random pictures thread
« Reply #11831 on: April 15, 2021, 05:22:42 PM »
First set the parameters. Let's assume the perimeter of the square donut is the same as the circumference of the round donut, and the inner perimeter of the round donut (i.e. the hole's perimeter) is the same as the inner circumference of the round donut. Now which one is bigger.

Editing to add the solution.

Let's say the length of the sides of the square donut on the outside are 4" and on the inside are 2". So the perimeters are 16" and 8". (And assume it's 1" in height for simplicity)

The round donut will have the same circumference if the outer diameter is ~5.1" and the inner diameter is ~2.5".

The volume of the square donut is 12 cubic inches (=4" x 4" x 1" - 2" x 2" x 1") and the volume of the round donut is ~15.3 cubic inches (=1*[Pi*5.1^2 - Pi*2.5^2]).

Note that this is not perfect because these are toruses and we have to account for the shape of curve along the z-axis, but it probably won't change the conclusion
« Last Edit: April 15, 2021, 05:38:34 PM by yos9694 »

Offline Lurker

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Re: The funny/strange/interesting/random pictures thread
« Reply #11832 on: April 15, 2021, 05:44:11 PM »
First set the parameters.... but it probably won't change the conclusion

My eyes glazed over like non-CY Krispy Kreme, and I thought, "Maybe math is racist...?"
Failing at maintaining Lurker status.

Offline aygart

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Re: The funny/strange/interesting/random pictures thread
« Reply #11833 on: April 15, 2021, 05:45:31 PM »
First set the parameters. Let's assume the perimeter of the square donut is the same as the circumference of the round donut, and the inner perimeter of the round donut (i.e. the hole's perimeter) is the same as the inner circumference of the round donut. Now which one is bigger.

Editing to add the solution.

Let's say the length of the sides of the square donut on the outside are 4" and on the inside are 2". So the perimeters are 16" and 8". (And assume it's 1" in height for simplicity)

The round donut will have the same circumference if the outer diameter is ~5.1" and the inner diameter is ~2.5".

The volume of the square donut is 12 cubic inches (=4" x 4" x 1" - 2" x 2" x 1") and the volume of the round donut is ~15.3 cubic inches (=1*[Pi*5.1^2 - Pi*2.5^2]).

Note that this is not perfect because these are toruses and we have to account for the shape of curve along the z-axis, but it probably won't change the conclusion
In the original example the side was equal to the diameter
Feelings don't care about your facts

Offline yos9694

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Re: The funny/strange/interesting/random pictures thread
« Reply #11834 on: April 15, 2021, 05:48:22 PM »
You’re onto something here. The original author didn’t consider that doughnuts are three dimensional and only calculated based on a two-dimensional doughnut shape. It would vary by exactly how the square vs. round doughnuts are shaped, but even with the same sized holes as his measurements, it’s possible for three-dimensional square doughnuts to be more than 27% bigger due to the squared edge.

Assuming the round doughnuts are exactly round on their axis (I don’t even know how you accurately describe the circumference of the side of the doughnut), and the square doughnuts are exactly square/cubed, you can:
- Learn trig (?) and calculate the three-dimensional differential, way above my pay grade.
- Spray the doughnuts so they’re sealed and don’t absorb water, and see how much water they each displace to figure out their mass
- Follow etech0’s example and crumb them up, and compare the crumb masses for an approximate differential

The branch of math we need is topology, and objects with holes are called toruses. The circumference of the side is measured by the minor radius (i.e. the inner radius). Applying the formulas is not hard but getting the right assumptions to put into the formulas is hard if you want to make a fair comparison to the square (need to find an equivalent height for both)

Offline Randomex

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Re: The funny/strange/interesting/random pictures thread
« Reply #11835 on: April 15, 2021, 06:23:49 PM »


(I found this and noted it for posting before the roadtrip post.)
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Offline Something Fishy

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Re: The funny/strange/interesting/random pictures thread
« Reply #11836 on: April 15, 2021, 06:25:14 PM »
I saw the YACHTA YACHTA YACHTA docked somewhere in Alaska. Still my favorite boat name to date.
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Offline Randomex

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Re: The funny/strange/interesting/random pictures thread
« Reply #11837 on: April 15, 2021, 06:44:09 PM »
Can you explain that one to me? (I think I know what it's about, but I'm curious whether you think it's something else.)
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Online YitzyS

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Re: The funny/strange/interesting/random pictures thread
« Reply #11838 on: April 15, 2021, 06:44:42 PM »
Donuts have holes so that more surface area comes in contact with the fry oil.

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Re: The funny/strange/interesting/random pictures thread
« Reply #11839 on: April 15, 2021, 06:46:15 PM »
Statistics have shown that police response time is greatly decreased in areas where the donut holes are large because donut consumption time is less.