Trilobite and crab, tiles and puzzle

prusaprinters

<p>This Thing constructs trilobite-and-crab tilings. They are described in <a href="https://arxiv.org/abs/1608.07167">The Trilobyte and Crab: A Full Explanation, by Chaim Goodman-Strauss</a>. These tiles can be assembled into patterns that fill the entire plane, but no such pattern can have a translational symmetry. This Thing contains three versions:</p> <ul> <li>A pair of tiles that have markings on top. A proper tiling matches these markings, and the markings illuminate the non-periodic but systematic structure of a tiling.</li> <li>A 50-piece jigsaw puzzle that is a 3D map of the Earth's topography and bathymetry. There are only two piece shapes, apart from the edges, and these pieces interlock in such a way that they can only go together in a way that would match the markings above.</li> <li>A pair of pieces with both markings and interlocking for use as a doormat. (Work in progress.)<br/> The code in the Jupyter notebook is not very general but can be adapted to produce other variants, for example a jigsaw puzzle with more pieces (this one fits on a single mk3 bed).</li> </ul> <h3>Print instructions</h3><h3>Category: Math Print Settings</h3> <p><strong>Printer Brand:</strong> Prusa</p> <p><strong>Printer:</strong> <a href="http://amzn.to/2rqZ6Uo">i3 MK3</a></p> <p><strong>Rafts:</strong> No</p> <p><strong>Supports:</strong> No</p> <p><strong>Resolution:</strong> 0.1 mm or 0.35 mm</p> <p><strong>Infill:</strong> default</p> <p><strong>Filament:</strong> any PLA blue, green, white<br/> <strong>Notes:</strong></p> <p>Although these objects make much more sense in color, they are designed so that a single color change at each specified altitude produces the desired effect. For the marked tiles the altitudes should be obvious; for the jigsaw puzzle the altitudes corresponding to deep water, shallow water, sea level, and mountain are indicated in the Jupyter notebook and set in the 3mf file.</p> <p>The files for download here do not include the bathymetry plus topography data set I used; the Jupyter notebook should indicate where to get it (it's in the public domain, from the US government, available as long as that organization is not shut down).</p>