What is the Relationship Between Angles and Dimensions?

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Discussion Overview

The discussion revolves around the relationship between angles and dimensions, particularly focusing on the concept of three-dimensional angles and their measurement. Participants explore how angles in three dimensions might be quantified and the implications of such measurements.

Discussion Character

  • Exploratory, Conceptual clarification

Main Points Raised

  • One participant proposes a method of measuring three-dimensional angles in units related to the area of a sphere divided by 360 squared, questioning how this might work given the variability of sphere sizes.
  • Another participant expresses interest in whether there is existing research or study related to the concept being discussed.
  • A third participant provides a link to a resource on steradians, which are a unit of measure for solid angles.
  • A later reply indicates that the provided resource aligns well with the initial participant's mental picture of the concept.

Areas of Agreement / Disagreement

The discussion does not reach a consensus, as participants explore different aspects of the topic without settling on a definitive understanding or agreement.

Contextual Notes

Participants express uncertainty regarding the measurement of three-dimensional angles and the implications of varying sphere sizes on such measurements. There are also unresolved questions about the existence of formal studies on the topic.

Bananaman3579
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Three Dimensional Angles?!?

ok, this is a stretch. I have an idea. If there are angles, measured in units of 1/360th of a circle. what happens when you add the third dimension factor. I thought it would be somehow measured in units of like the area of a sphere divided by 360^2 maybe. The problem with area is that it changes depending on the size of the sphere. Then somehow I'm picturing a cone and a triangle. This is most easily applied to a cube, if there are more sides the 2 dimensional figure made for the cone would change.

I would like to know if there is ay actualy study of what I;m trying to describe.
 
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*I would know if there is any actual study based on what I'm trying to explain.
 
thanks that was pretty much exactly what i pictured in my head
 

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