Pythagorean Theorem Proof
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A very nice visual and intuitive proof of the pythagorean theorem.
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- Printables
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- Math
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- Creative Commons — Attribution — Share Alike
I don't know who originally uploaded the model, but I found the model below, and although beautiful, I had a few problems with it, most notably:
The print-in-place margins are too large, so the chain becomes wobbly.
The model is too small to demonstrate in class.
The Tinkercad model is crude. I like round circles.
It is VERY fragile because of the printed axles that can only be printed vertically.
I did a complete redesign in FreeCAD, solving all the above problems. The model is now twice as big in the x and y dimensions. I added a very thin lid to stabilize the axles. The circles are much rounder. The chain has much tighter tolerances, so it is much less stretchy.
I added very small fillets to most of the sharp corners, to make it less prone to warping, and make it more printer friendly in general.
Printing Instructions
I recommend using a draft shield when printing the base for improved thermals. If this doesn't work, you could try mouse ears.
For the chain, I use a raft. It should also be printed with supports.
The rest can be printed with standard profiles. Every model is in the recommended print orientation.
Remixing or Printing with Logo
I uploaded my FreeCAD file for easy remixing. Also, I printed my school's logo on the square piece. My method:
Prepare an SVG without crossing perimeters. Use few colors; I simplified to 3 colors. I exported an SVG for each color.
Import the SVG. Choose SVG as geometry.
In the Draft workbench, select all parts, then choose "Draft to Sketch" in the modification menu.
Delete the original parts.
Add the sketch to a new body. In the body's properties, set "Allow Compound" to true.
Extrude the sketch. I found 0.2 mm to have excellent color opacity, but it might be different with different filaments.
Repeat for each separate color, making each 0.2 mm thicker.
Finish the model, export, and import into PrusaSlicer.
PrusaSlicer will probably recognize the logo and ask to do automatic color changes.
I do ironing on the logo. A badly tuned ironing mode can make your print worse instead of better, so just try it out and then hope and learn! :)