3-Splatts
Description
# 3-splatts Splatts are a geometrical puzzle developed by Mark Owen and Matthew Richards at Cambridge University in 1986. For more details, please see Mark's page: [Splatts](https://www.quinapalus.com/splatts.html). This set of 3-splatts is reproduced by kind permission of Mark Owen, and was developed in OpenSCAD by [Stewart Russell](https://scruss.com/blog/). It is provided to you under the [Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)](https://creativecommons.org/licenses/by-nc-sa/4.0/) licence. Making this model for money is not allowed. Please contact Mark if you wish to pursue commercial licensing. A single *splatt* (or *1-splatt*) is a [truncated octahedron](https://en.wikipedia.org/wiki/Truncated_octahedron). It is formed by intersecting a regular [octahedron](https://en.wikipedia.org/wiki/Octahedron) with a slightly smaller cube sized such that all the sides of the resulting polyhedron have the same length. A *3-splatt* is a group of three joined splatts. There are six unique 3-splatts, which in Mark and Matthew's original paper are given the names *Simon*, *John*, *Michael*, *David*, *Mark* and *Matthew*. ## Printing the models Three 3MF print projects are provided here: * **3splatts-20mm.3mf** - this has a nominal splatt size of 20 mm. It will likely need quite a fine layer height, as parts this small need smooth surfaces to fit together. Not recommended. * **3splatts-30mm.3mf** - here, the splatts are nominally 30 mm high. * **3splatts-40mm.3mf** - with a splatt height of 40 mm, this set is particularly grand and pleasing. It is an excessively long print (12h 40), though, and may not fit on all print beds. Because support is required for some of the models, it's recommended to use PLA for its crisp support removal. If your slicer supports [lightning infill](https://ultimaker.com/learn/how-to-use-lightning-infill) (Ultimaker Cura and PrusaSlicer both do), it's highly recommended for very light but rigid prints. For example, the 40 mm *Simon* 3-splatt has a volume of 96 cm^3 but has a mass of only 19 g when printed this way. * *Simon* and *David* do not require supports at all. * *Michael* is easiest printed on end, so will likely need a brim to help with adhesion. * *John*, *Mark* and *Matthew* all must be printed with support as they have large horizontal overhangs. Paint-on supports for the affected facets results in easily-removed support material. As with all tessellating toys, you'll need to remove excess brim and support material for a good fit. ## Design Each splatt is *very* slightly over-sized (by approximately 0.00153%) to ensure that OpenSCAD merges the shapes together correctly. Despite this, some faces came out with confused normal directions that some slicers might grumble about. All the models have been run through [ADMesh](https://github.com/admesh/admesh) for peace and a quiet life. Full instructions for modifying and using the source of the model are given in the OpenSCAD file itself. If you wish to cut out your own splatts, a 2d net (generated by [dxf2papercraft](http://dxf2papercraft.sourceforge.net/), ADMesh and Inkscape) of the 40 mm 1-splatt is included. You'll need 18 of these to make a full set of six 3-splatts.
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