But I do remember it being a thing!

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In summary, the conversation discusses the concept of maximizing efficiency by organizing objects based on their shape rather than size. The term "tidiness" is suggested as a general principle at work here. The conversation also mentions the use of ellipsoids as model objects for studying packing and references the knapsack problem as a related topic. One person admits to not being able to explain the math behind it and only knowing about it through a TV show.
  • #1
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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  • #2
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.
 
  • #3
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.
 

FAQ: But I do remember it being a thing!

What is the "Name of tidiness theorem" and why is it important?

The "Name of tidiness theorem" is a mathematical principle that states that a system will naturally move towards a state of greater organization and order. This theorem is important because it helps us understand how complex systems, such as ecosystems or economies, maintain stability and avoid chaos.

How is the "Name of tidiness theorem" different from the second law of thermodynamics?

The "Name of tidiness theorem" is often confused with the second law of thermodynamics, which states that the total entropy (or disorder) of a closed system will always increase over time. While the second law of thermodynamics applies specifically to physical systems, the "Name of tidiness theorem" is a more general principle that applies to any type of system, including social, biological, and economic systems.

Can the "Name of tidiness theorem" be applied to everyday life?

Yes, the "Name of tidiness theorem" can be applied to everyday life. For example, it explains why our homes tend to become messier over time and why it takes effort to keep them clean and organized. It also applies to personal habits and routines, as we must actively work to maintain order and avoid chaos in our daily lives.

Are there any exceptions to the "Name of tidiness theorem"?

While the "Name of tidiness theorem" holds true in most cases, there are some exceptions. In certain situations, external forces or external energy inputs can disrupt the natural order and cause chaos. Additionally, some systems may reach a state of equilibrium where no further organization or tidiness can be achieved.

How does the "Name of tidiness theorem" relate to the concept of self-organization?

The "Name of tidiness theorem" is closely related to the concept of self-organization, which is the ability of a system to spontaneously organize itself without external control or influence. The theorem explains how self-organization occurs and why it is essential for maintaining order and stability in complex systems.

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