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

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The discussion centers on the properties of a sphere and its relationship to Euclidean geometry. Participants explore whether the curve of a sphere can be defined in terms of angles and if it serves as a standard in higher mathematics. One user proposes a method to relate the perimeter of a circle to a symmetrical polygon, suggesting that this could yield a defined degree. The conversation also highlights the sphere's efficiency as a shape in nature. Overall, the complexity of the sphere and its mathematical implications are emphasized.
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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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