macrofire Posted September 19, 2012 Report Share Posted September 19, 2012 Question 1How would one create 3-D angles in R3?Question 2Could there be 3-D trigonometric functions (for the tetrahedron) and how do they relate to 3-D angles?Question 3Are there simple parallels between 3-D angles and 2-D angles? 3-D trig functions and 2-D trig functions?Question 4Can we create complex angles (imaginary angles, superangles...etc) that can be mapped onto some number larger than 1 or smaller than -1 using the sine or cosine?Question 5Can the results of question 4, if any, be extended to 3-D angles and 3-D trig functions? Reply Link to post Share on other sites More sharing options...
aldld Posted September 26, 2012 Report Share Posted September 26, 2012 I don't know about "3D angles" (you'd need more than one parameter to specify an "angle" at least.For question 4 though, you may want to check out hyperbolic functions http://en.wikipedia.org/wiki/Hyperbolic_function Reply Link to post Share on other sites More sharing options...
Fermat Posted September 26, 2012 Report Share Posted September 26, 2012 Wow, those are some really good question I've never really thought of angles in that way.But I can't really help Reply Link to post Share on other sites More sharing options...
Fermat Posted November 22, 2012 Report Share Posted November 22, 2012 Did some research and found this: http://en.wikipedia.org/wiki/Steradian, I think it should answer question 1. Reply Link to post Share on other sites More sharing options...
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