Cutting a 20x30m Area: Is It Possible?

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Discussion Overview

The discussion revolves around the feasibility of cutting a 20x30 meter area into specified parts while considering the total area constraint. Participants explore methods for optimizing the cutting process to minimize waste.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant suggests that the feasibility of cutting depends on the shapes of the areas to be created, indicating that different shapes may yield different outcomes.
  • Another participant expresses a desire for a method to achieve the cutting, emphasizing the need for a systematic approach.
  • A participant mentions that there are methods to minimize waste, implying that calculus and optimization techniques are necessary for the solution.
  • It is noted that the problem is recognized as a complex non-linear optimization issue, referred to as the "trim loss" problem.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a specific method or solution, and multiple viewpoints regarding the shapes and optimization techniques remain present.

Contextual Notes

Limitations include the need for further assumptions regarding the shapes of the areas and the mathematical steps required for optimization, which are not fully resolved in the discussion.

somy
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assume that we have an area of 20*30 meters, and we want to cut it to some parts of specified areas. I want to know when is it possible?
Of course the first assumpsion should be: the sum of the areas should not exceed the total area. I know we need another assumpsion.
What is it?
And if the process is possible, how can we minimize the pert of this cutage.
I mean to cut it in an optimum way.

Thank a lot
Somy :smile:
 
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Well, that ought to depend the shapes of the "areas" you want
(With equal areas, but disks rather than squares or stars, you'll get different answers in general)
 
I know that!
but suppose we have a series of such areas that we need to make them.
I just want the method, if there is any.
Thanks a lot
 
yes, there is amethod to minimize paper waste, and stuff like that but you need to do some calculus and optimization. Have you done calc yet?
 
This is a well researched, but fairly complex non-linear optimization problem - known as the "trim loss" problem.

Google it.
 
thanks Gokul!
 

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