Spherical Angle Math: Pyramid Angles Constant?

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SUMMARY

The discussion focuses on the mathematical concepts related to calculating angles in three-dimensional shapes, specifically triangular pyramids. It establishes that while the sum of the inner angles in a pyramid is not constant, the sum of the outer angles remains constant. The term "solid angle" is introduced as a relevant concept in this context. For further understanding, a reference to a detailed article on solid angles is provided.

PREREQUISITES
  • Understanding of solid angles in geometry
  • Familiarity with triangular pyramids and their properties
  • Basic knowledge of 3D geometry concepts
  • Ability to interpret mathematical formulas related to angles
NEXT STEPS
  • Research the concept of solid angles in greater detail
  • Explore the mathematical properties of triangular pyramids
  • Study the formulas for calculating angles in 3D shapes
  • Examine the provided article on solid angles for advanced insights
USEFUL FOR

Mathematicians, geometry enthusiasts, educators, and students seeking to deepen their understanding of 3D angle calculations and solid geometry concepts.

ddddd28
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Hi,
Calculating the angles in 3D shapes can be a very frustrating and annoying thing. So, I was wondering, are there any mathematical terms, which describe a 3d angles?( "angles" between three lines- part of a sphere)
If there are such terms, suppose a triangular pyramid. Is the sum of those "angles" is a constant? just as the sum of angles in a triangle is 180 degrees.
 
Mathematics news on Phys.org
Solid angle?
There are some formulas for the solid angles in a pyramid in that article.
 

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