Area of a Circle (intuition)pic.twitter.com/pmj5CA8N2h
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Find out the 'unraveling' function i wrote for this animation
That is, find the function that ensures that each circular slice remains the length of its circumference as it unravels
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(a+t)r , a being unravelled, t being not-unravelled yet. a+t=2pi. a*r is the line segment tangent to circle at angle t. Leave the rest for audience homework(t goes from 2pi to 0).
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gotta write down a single piecewise function in a defined coordinate system :D
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R(theta) = random(0,R) and run until you get the right simulation
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Bogo clout
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at each frame a line is a q portion of a circle around (x,y) with r radius, and a line from (x + sin(q*2pi)*r, y + cos(q*2pi)*r) to (x + sin(q*2pi)*r + 2pi*(1-q)*cos((1-q)*2pi)*r, y + cos(q*2pi)*r + 2pi*(1-q)*sin((1-q)*2pi)*r)
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Here's what I did Cut point is the point where the circle gets cut off when coming in from counter CW direction. The final line segment L(θ) from the cut point to the end point that ensures the length of the line is equal to the arc length lostpic.twitter.com/9NgSdgumtL
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I couldn't answer that, but in my discrete model the surface area of a circle = radius x circumf. of compressed quanta, no pi. And changing the circumf. maintains proportionality to the r, unlike Ehrenfest's disk. Thus avoiding non-Euclidean geometry.https://www.scribd.com/document/390899168/MQ-Mechanics-of-the-Quantum-Property-5-Hydrogen-Energy-Level-Ratios-From-Counting-Compressed-Quanta-Scribd …
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