“Aristotle maintained that women have fewer teeth than men; although he was twice married, it never occurred to him to verify this statement by examining his wives' mouths.” - Bertrand Russell on Aristotle's Mistake
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Saturday, April 13, 2013
L is for Logarithmic Spirals
Oh wow! I am so proud of this! Sorry I'm late, but I was playing with the draw function in HTML5. The picture you see is a spiral I drew! There are many different shapes and sizes that they can come in, and they follow a pattern of r=e^(a*theta), where r is the distance from the origin, e is Euler's Number (about 1.618282) and a is the angle. I lied above, what I drew is an Archimedes spiral with an equation of r=a+b(theta). I know, it should be a logarithmic function, but I've already spent a day on this trying to get this right. It's easier, especially for someone with little programing experience. This spiral uses (1 + sqrt(5))/2 as it's angle. Why? Well, I'll explain it on P day.
When I first discovered the art I could make using fractal creation programs, I locked myself in my room for days.
ReplyDeleteDropping by from A to Z. This is my first year participating and I am having a blast.
Brett Minor
Transformed Nonconformist
Who thought you could do such fun things with math. :) That is pretty cool.
ReplyDeleteBanned complain !! Complaining only causes life and mind become more severe. Enjoy the rhythm of the problems faced. No matter ga life, not a problem not learn, so enjoy it :)
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I'm so confused by why you're saying that e is Euler's Number (about 1.618282). Isn't it approximately 2.718281828...
ReplyDelete