3D-Printable 3D-Printers

Pythagoras was a genius. To conceive the mathematical rules of a triangle and recognise a consistent formula for the dimensions and area of any triangle, without so much as a trigonometric lookup table... remarkable. Literally changed the world. And is still doing so. Now, before I proceed, 3D printing a 3D printer is not an original idea. Josef Prusa makes a living out of printing printers that can print printers. The whole RepRap movement is founded on this concept, but today, I want to share the basic concepts of how it can be done, and look at maximising the printing, while minimising the purchases. Essentially, using Pythagoras to conceptually "print" a printer frame. For example, like this... A Pythagorean printable printer frame, showing bed alignment of a single part as it might be printed on an earlier generation of itself. How's this work? Well, Pythagoras worked out that the diagonal of a square is equal to the side of a square time the square root of 2. Fo...