I present a new type of angle measure called quaterns. Measuring rotation in quaterns means that all of the trigonometric functions and their inverses become algebraic, not transcendental. No transcendental functions, no imaginary numbers, no infinite sums. If computer graphics were rendered using quaterns, it would greatly decrease computing time, because the current algorithms use truncated infinite sums, whereas using quatern rotation would be algebraic. Note that the paper and also the comments in the video contain links to the online calculators that greatly speed the work, if you would like to try it for yourself.
This most recent paper is submitted, it demonstrates solving a triangle algebraically. Here is the preprint: https://vixra.org/abs/2303.0144
Here is a video wherein I demonstrate using this method to solve a triangle: https://youtu.be/KDYj4HDBfGs
Here is the paper from two years ago first introducing the idea. At that time, I did not know how to add or subtract quaterns, so they were only good for approximate solutions. The new paper already posted up above shows how to add and subtract quaterns, so now all solutions are exact: https://vixra.org/abs/2102.0114
Algebraic rotation -- no transcendental functions
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Algebraic rotation -- no transcendental functions
Joseph Bakhos
Web site: https://taurusreport.com/
Youtube: https://www.youtube.com/playlist?list=P ... 0X0c2X7M80
email: joebakhos@taurusreport.com
Web site: https://taurusreport.com/
Youtube: https://www.youtube.com/playlist?list=P ... 0X0c2X7M80
email: joebakhos@taurusreport.com
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