Square Packing Puzzle 3D Printer Model
The file 'Square Packing Puzzle 3D Printer Model' is (stl,heic,HEIC) file type, size is 3.9MB.
The file 'Square Packing Puzzle 3D Printer Model' is (stl,heic,HEIC) file type, size is 3.9MB.
Are you ready for an extremely challenging, yet extremely unsatisfying puzzle?
Youtube Video: https://youtube.com/shorts/A1xIHoCRcwQ?feature=share
What configuration enables n equal squares to fit within the smallest possible bounding square? The current answers for n=11, and n=17 are very counterintuitive, and make a great puzzle! N=11 is the lowest number where the blocks are at an angle besides 0 or 45 degrees, and n=17 is the lowest number for which the blocks are placed at 3 different angles.
For more information, check out this website: https://erich-friedman.github.io/papers/squares/squares.html
I have included STL files for both DUPLO and LEGO sizes. In both cases, I used the following numbers to get the frame size:
Square Width= OPTIMUM_EDGE* BLOCK_WIDTH
For 11 squares, OPTIMUM_EDGE=3.8771
For 17 squares, OPTIMUM_EDGE=4.6756
For DUPLO, BLOCK_WIDTH=31.7 mm, and for Lego, BLOCK_WIDTH= 16 mm.
Depending on the tolerances of your printer, you may need to slightly scale the frame up or down to get a snug fit.
| Duplo_11_20H_6W_10T.stl | 94.2KB | |
| Duplo_17_6W_20H_10T.stl | 95.6KB | |
| IMG_1696.heic | 1.5MB | |
| IMG_1870.HEIC | 2.3MB | |
| Lego_11.stl | 83.1KB | |
| Lego_17.stl | 84.7KB |
