The Mystifying Sphere: Is Its Curve Defined by a Euclidian Degree?

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Discussion Overview

The discussion revolves around the geometric properties of a sphere, particularly its curvature and how it might relate to Euclidean angles. Participants explore whether the curve of a sphere can be equated to a standard variable in mathematics and how angles might be defined in relation to a sphere and a circle.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions whether the curve of a sphere is a perpetual standard and if it can be equated with an average angle in Euclidean degrees.
  • Another participant humorously suggests that the original poster is "crazy," but does not dismiss the inquiry entirely.
  • A different participant expresses agreement with the original post's complexity while maintaining a neutral stance.
  • One participant introduces the concept of defining angles in relation to a circle and a sphere, suggesting that angles can be defined based on perpendicular lines from the center point.
  • Another participant notes that a sphere is nature's most efficient shape, adding a perspective on its geometric significance.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the original poster's claims. There are multiple competing views regarding the relationship between the sphere's curvature and Euclidean angles, and the discussion remains unresolved.

Contextual Notes

Participants express uncertainty about the definitions and relationships between angles and curves in the context of spheres and circles. There are also unresolved mathematical steps regarding the proposed methods of defining angles.

Mattius_
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The Sphere! Mystifying!

Is it just me or is a sphere a truly remarkable thing? I cannot ponder its properties so ill ask a few questions...

Is the curve of a sphere perpetual standard of somesort?? is it's value a standard variable in some higher level math??

Being a guy who needs elementary comparisons, can we equate this curve with a average angle of somesort in euclidian degrees?***

***
the best solution i have come up with here is taking a perimeter of a circle and putting it on top of the perimeter of X-agon(meaning an X sided symmetrical shape) and lining up the linear sides of the X-agon with the circle's perimeter so that each side intersects the circles perimeter twice and also so that the middle length of the X-agon is exactly double the length of each of the 2 outside parts of the side. (sometimes a million words cannot define a picture, but try)The end result from a satisfactory X-agon would be a defined degree, Right?

anyways, am i just crazy or is the sphere an incredibly complex and sophisticated body.
 
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I think youre crazy lol :wink:
 
I was thinking the same thing the other day, mind you that does not not mean I disagree with the above post :/
 
I like donut shapes myself.:smile:
 
although we have concluded that i am crazy, we still haven't verified my attempt to bring an angle to a circle... any thoughts on this?
 
Originally posted by Mattius_
although we have concluded that i am crazy, we still haven't verified my attempt to bring an angle to a circle... any thoughts on this?

The angle is 90 degrees to a perpendicular line at a constant length from the center point for a circle and any angle within 360 degrees to a perpendicular line in the z axis and 90 degrees from the y-axis at a constant length from the center point for a sphere.

Another interesting thing about a sphere is that it is nature's most efficient shape.

Had to edit a bit, I forgot the z axis for the sphere.
 
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