Daily Equation #5 - Fermat's Spiral
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This is Day 5 of my collection of printable equations. To see the whole collection, go to:…
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Informacje o modelu
- Źródło
- Printables
- Kategoria
- Math
- Licencja
- Creative Commons — Attribution — Noncommercial
This is Day 5 of my collection of printable equations. To see the whole collection, go to: http://www.thingiverse.com/thing:227210
For today's equation, I'm revisiting the Archimede's spiral (r = atheta) of day #3 (http://www.thingiverse.com/thing:228425). A variant is Fermat's spiral, r = +/-atheta^0.5 (http://en.wikipedia.org/wiki/Fermat%27s_spiral). In contrast to Archimede's, Fermat's spiral exhibits a flat region near theta = 0 and a continuously decreasing distance between turns. It also, to the best of my knowledge, has no practical application. But it looks cool.
Details:
- units are in mm
- curve thickness was reduced from 5 to 3 mm to avoid overlap.
- a = 1.5 (to give a diameter of 100 after 3 turns)
- Range(theta) = 0 to 1080
- stl resized to make x axis = 100 mm
As always, I'm going to continue to post one equation per day until get bored or people lose interest. If there's a particular equation you'd like to see, leave a comment and I'll give it a shot.
Instructions
All files can be printed without support. Photos shown were printed on a Replicator 2 and sliced using the standard setting on Makerware.
Category: Math