I've been playing with Google's Photosphere feature, and also I to be wondering if the was feasible to specify a degree if you relocate up or under from a circle. I've been acquiring varying worths from 360° come 41,xxx°
Your concern is a non-question. That is meaningless to expand angle-measure into dimension 3+, due to the fact that angles room a planar object.
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However, over there exists a ide in non-Euclidian geometry recognized as the “solid angle” that you may wish to look into. When we recognize that edge measure and also the connected units (degrees/radians) to be dimensionless, because that a device of measurement N, it's associated angulation is of measurement N - 1. For this reason for measurement 3, angulation is 2-dimensional. The is to say, solid angles are measured in square-degrees/steradians. In a sphere, there are 4π steradians, or 129,600/π square-degrees.
There is a measure dubbed "solid angle" i m sorry extends the idea of angles into 3D. Solid angle is characterized by having 4π steradians in a sphere. A hemisphere, then, will have 2π steradians. Solid angle are important in astrophysics, with luminosities and flux.
Source: researching physics (with one astrophysics unit) in ~ university.
Once you get into calculus you can express a position in spherical coordinates using 3 values: Rho (the radius), theta (the degrees on the XY plane, ranging in worth from 0-360) and also phi (degrees displacement indigenous the Z axis, ranging from 0 to 180)
The way degrees occupational on a world map space pretty similar, the worths are just adjusted: -180 come 180, and also -90 to 90.
In ELI5 fashion, this method distance from center (radius), what method it's turned side to side (theta), and how it's turned forwards and backward (phi).
It's quiet 360°, just on another plane.
Degrees is a measure up of angle. For that you need to define 3 points:
one beginning point
the ar of the angle
the finishing point
Whatever you do in in between is approximately you. If you take trip along a sphere and also you begin at one point and finish up in ~ a 2nd point you have to decide where you specify the allude of the angle. In a sphere logically it would certainly be the middle of it, thereby resembling sinus curve kind of angle.
I hope this provides sense.
EDIT: This picture shows my 3 points
Degree's space a 2 dimentional function. Over there are essentially 360o of 360o in a sphere.
Edit: perhaps 180 not that i think about it. A circle would only need to make a fifty percent turn.
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If this is the case, what would a 3D function's "unit" it is in called, have the right to can it be measured choose °?
Degrees are used to measure up in two dimensions.
Spheres, being 3D have 3 Dimensions. You would only have the ability to measure degrees along a single mix of axis, xy or zx, an interpretation that the final measurement of "degrees" would come out choose X° on axis 1 of X° on axis 2
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