Pythagorean Spiral
A Pythagorean spiral is a spiral based on the Pythagorean theorem. The spiral is made up of triangles and will continue infinitely.
This is image is proof of the Pythagorean theorem. The Squares on each side of the triangle have a certain amount of cubes around the middle, this represents the length of the side squared. Example: The side of A is 3inches so 3 squared is 9 there are nine cubes on A. Same goes for B, the side is 4 so 4 X 4 is 16. So 9 + 16 = 25, 25 squared is 5.
Reflection!
The Process was more or less understanding the two equations for Pythagorean theorem, then using those to figure out the spiral. What went well? Well I actually understand and can apply the equations to whatever sides I need to, Challenges? I really came across none. Except finding a pattern in the spiral, I was unable to find one. Habit of a mathematician? Looking for patterns, even though I didn't find one.
The Process was more or less understanding the two equations for Pythagorean theorem, then using those to figure out the spiral. What went well? Well I actually understand and can apply the equations to whatever sides I need to, Challenges? I really came across none. Except finding a pattern in the spiral, I was unable to find one. Habit of a mathematician? Looking for patterns, even though I didn't find one.