Maximizing Efficiency in Two-Dimensional Packing: A Comprehensive Guide

  • Thread starter Thread starter AlchemistK
  • Start date Start date
  • Tags Tags
    Efficiency
AI Thread Summary
The discussion focuses on maximizing efficiency in two-dimensional packing for a school project, specifically relating to area rather than volume. Key considerations include the shapes being packed, such as circles, rectangles, or triangles, which influence packing efficiency. Participants suggest exploring packing efficiencies of lattice networks, which have been extensively studied in 3D contexts. Understanding the basic outline of the packing shapes is crucial for gathering relevant data. This foundational knowledge will aid in effectively addressing the project requirements.
AlchemistK
Messages
157
Reaction score
0
There is this school project on efficiency in packing but i can't actually find any good data .

The main idea is the amount of goods that can be fixed in a place but i want it in just 2 dimentions. It has to be related to area and not to volume as that becomes too complex.

Any help in understanding this topic is welcome.
 
Physics news on Phys.org
It depends on what basic outline you want to use. As in, do you want to pack circles in a square or rectangles or triangles etc. The 3D problem has been studied to a large extent in chemistry. Look up packing efficiencies of lattice networks.
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
Back
Top