6-Fold Plaques from Triangles

by pmoews, published

6-Fold Plaques from Triangles by pmoews Apr 14, 2013

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1132Views 881Downloads Found in Math Art
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Here are four decorative plaques and the triangular based motifs from which they are constructed.

Six copies of a simple motif are rotated, each by a different multiple of 60 degrees, around a common axis. The six copies are then combined with openSCAD to form a plaque with 6-fold symmetry.

Seven stl files are provided, 3 simple motifs, and 4 sixfold plaques:

motif_11.stl a simple motif made of 11 triangles
motif_12.stl a simple motif made of 12 triangles
motif_18.stl a simple motif makde of 18 triangles

plaque_11.stl a plaque derived from motif_11
plaque_12.stl a plaque derived from motif_12
plaque_18a.stl a plaque derived from motif_18
plaque_18b.stl a plaque derived from motif_18

The openSCAD program that produced the plaques is an experiment suggested by the nice way that the triangular based terdragons combine to form six fold arrays - see thing:69361. It contains 9 motifs and uses a simple method for choosing rotational axes. The motifs and a few examples of the translation method are included in a pdf file.


The plaques can be printed with or without a raft.

The motifs are at the same scale as the plaques and can be superimposed on the plaque to identify the rotation axes.

The openSCAD code is parametric and is capable of creating a multitude of plaques.

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