Find Area of Intersecting Planes - New Algorithm?

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SUMMARY

The discussion focuses on the challenge of calculating the area of intersecting planes, specifically in the context of intersecting cubes and other geometric shapes. The user initially attempted to use set theory for area calculation but found it computationally intensive as more planes were added. They seek a more efficient algorithm that can handle multiple intersecting regions without relying on traditional set theory methods. The conversation highlights the need for a new algorithmic approach to simplify these calculations.

PREREQUISITES
  • Understanding of geometric shapes, specifically cubes and planes
  • Familiarity with computational geometry concepts
  • Basic knowledge of algorithms and their efficiency
  • Experience with programming for geometric calculations
NEXT STEPS
  • Research algorithms for calculating volumes of intersecting geometric shapes
  • Explore computational geometry libraries such as CGAL (Computational Geometry Algorithms Library)
  • Learn about the principles of volumetric intersection in 3D space
  • Investigate optimization techniques for geometric computations in programming
USEFUL FOR

Mathematicians, computer scientists, and software developers working on geometric modeling, simulation, or any applications requiring efficient calculations of intersecting volumes.

nash_81
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hello grp... :smile:

is there any algorithm of findin the total area of an intersecting plane. i have tried with set theory if a n b r two planes,
area(a)+Area(b)-Area(a intersection b)

but it takes such a long computation when u go on adding planes to the existing ones. I want to have something which cud b easily programmable...without takin much longer 4 computations(by the processor)...

So is there any new method...

thnx in advance
 
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Perhaps it would help if you were clearer on what you are saying. You surely don't mean "planes". You appear to mean "two or more sets in a single plane". What information about the sets are you given?
 
hi,

sorry 4 not makin it clear...i want to calculate the volume in principle of two intersecting cubes and mainly the volume of two intersecting regions which may have its intersection point anywhere...jus like stemnitz solid r an intersecting cylinder..hope that makes it clear...but its not result of jus two intersecting cubes but a lot more cud b added r deleted and it may jus be anywhere...

for simulation purpose i used area calculation for planes to get 2 the above...
I dun want to apply set theory at all ...
 

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