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Originally Posted by SimpleKid18 If you want to see what you can make of the number 'loop' that I found hilst fiddling with an equation. It can be seen in the Mathematics section of the articles called The Number Spiral. If you want a spreadsheet of the numbers so you can see the whole pattern or a word document containing all 1-99 numbers, then e-mail me at |
I like your number spiral. I guess the resounding question would be: what would be the mechanism for creating the spiral?
Here are some pages you might enjoy:
http://online.redwoods.cc.ca.us/instruct/darnold/CalcProj/Fall98/DarrenT/EquiangularSpiral.html In mathematics, Descartes was the first to discover the equiangular spiral formula around the middle of 17th century. Was SimpleKid18 the first to discover the spiral vortex?
The logarithmic spiral forms as the radius grows exponentially with the angle:
http://www.2dcurves.com/spiral/spirallo.html
This would make sense from a growth perspective, as the angular motion is linear (based on a constant accretive spin process of the organism) yet the radius grows exponentially as the organisms growth is exponential
If you are looking for a tie in to physics:
- the force that makes a point move in a logarithmic spiral orbit is proportional to 1/r3 3)
- a particle moving in a uniform magnetic field, perpendicular to that field, forms a logarithmic spiral.
If you are looking to form some biological shapes, perhaps try the Gielis curve
http://www.2dcurves.com/power/powergc.html