But I do remember it being a thing!

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SUMMARY

The discussion centers on the efficient organization of objects, particularly kitchen equipment, based on their shapes. The principle at work is related to packing problems, specifically how similar shapes, such as ellipsoids, can be arranged to minimize space. The knapsack problem is referenced as a related concept that deals with efficiency in packing. The discussion highlights the importance of grouping objects by shape to achieve tidiness and efficiency.

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  • Basic knowledge of the knapsack problem
  • Concept of efficiency in spatial organization
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arithmetix
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Dear Mathematicians
I have noticed that when minimising the space taken by objects such as kitchen equipment on benches, great efficiencies can be achieved by putting all the long skinny things together, all the round things together, and all the same shapes together in general, regardless of size.
What is the name of the general principle at work here, please? (tidiness).
 
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I don't know the answer. I doubt there is a very general theorem, but you might be lucky searching for the following: I guess ellipsoids are a good model object to study, so maybe there is an experiment looking at how different shape ellipsoids pack together :smile:
There are some famous ones about equal shape ellipsoids.
 
This isn't precisely what you were asking but it reminded me of knapsack problems:

http://en.wikipedia.org/wiki/Knapsack_problem

In the realted pages there are also packing problems that kind of have to do with efficiency/ "tidiness".

Kind of in a similar vein.

Don't ask me to explain the math though, to be honest I only heard of it through

"Numb3rs" hahaha.
 

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