
Amethyst is a purple form of quartz. I became fascinated with the structure of the crystals after zooming in on this photograph of an amethyst geode that I took a week ago in New Hampshire at
Gemstar Gemstones in Enfield. I saw the individual crystals in the photos below. This was the first time I ever saw a hexagonal prism in "real life." I have read that the crystals have a tetrahedral structure. Tetrahedrals are one of the
five Platonic Solids (
regular polyhedra). I also read that amethyst crystals are
trigonal, meaning they have three-fold symmetry. An excellent discussion of trigonal crystals appears
here.
Here, I zoomed in on the first photo. You can see the six-sided prisms here.If you have Apple's QuickTime software click here to see
an interactive QTVR crystal of amethyst. Click here to view an
interactive 3D model of the amethyst structure (this will open a new browser window).
Here I zoomed in even further and clearly saw the hexagonal prism.If only we had the time to teach polyhedra to our students in the field while we collect rocks. I know they would never forget the experience or the mathematics.
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