Summary
These pendants are based on an irregular 15 sided polygon composed of a pentagon, five squares, and twenty rhombs. One is a portion of a pattern that tiles the plane and comes from Kevin Jardine's Imperfect Congruence site - http://gruze.org/tilings/globe - where it is called the globe "jewel". The second is a variation which has a 5 fold rotation axis.
The construction is the same as that used for thing:163043, Multicolored Pendants. Stl files for the bases and inserts are provided along with the openSCAD code that created them.
Stl files are:
globe_jewel_base.stl and 5_fold_base.stl - the two bases for inserts and 5 files of inserts - pentagon.stl, square.stl, 5-rhomb.stl, 10-rhomb.stl and 20-rhomb.stl.
Instructions
All files are best printed directly on the build platform.
As with thing:163043, Multicolored Pendants, a tiny spot of adhesive is placed in a recess and the insert pressed into place.
The globe "jewel" pendant differs from the version in Jardine's tiling for convenience in construction. The edge lengths of the polygons are not uniform and some of the rhombs have been altered to better fit the recesses. The inserts are not suitable for tiling.
The full globe tiling includes 20 sided polygons. A portion of the full tiling is shown in the image at the right above. It was constructed by placing tiles on a piece of black felt. The tiles are a set of polygons with uniform edge length. The openSCAD code that was used to generate the tiles is globe_tiles.scad and is included.
The image shows how the globe "jewel" fits into the overall tiling. Four "jewels" occur in mirrored pairs which share 3 rhombs.
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