Tabbed Cairo and Prismatic tiles

thingiverse

@mathgrrl penned an engaging piece about her affinity for Cairo and Prismatic pentagonal tiles back in 2014 - I still can't believe it's been five whole years since then! http://makerhome.blogspot.com/2014/05/day-265-cairo-and-prismatic-pentagons.html and shared a version here https://www.thingiverse.com/thing:338803 Here is another rendition of the tiles with tabs for joining them in OpenSCAD, making them fully customizable. The tabs boast rotational symmetry around their midpoint and are scaled to match the length of each side, ensuring they only connect at sides of equal lengths. The image showcases a tiling constructed from laser-cut birch plywood. As with my other recent tilings, you can adjust the inset (offset) to achieve a snug fit on either 3D prints or 2D laser-cuts. The approach using perimeter definitions makes it easy to add new tiles: when tiling with these two tiles, it seemed that a hex tile would fit perfectly, and this defines one which matches the corresponding side: function hex() = let(r = sqrt(3) - 1) repeat_peri([[r,120]],6);