triclinic

09-09

Posted on by Jean Constant

09-09. Sapphirine #7.

Sapphirine may be a tiny mineral but it taught me a tall and humbling lesson.

First – the P1 symmetry that many mathematicians find boring. From Nature perspective, it creates tremendously intricate structures in three dimensions. I’ll put a screenshot of the original resource for future reference.

resource2-start

Second, the more information on the screen, the more I have an urge to discard most of the peripheral objects to focus and capture the essence of the message.

I’m not sure I did it successfully, but it led me to quite a week of practice of minimalism style. Still surprised after 35 weeks in this Geometry of Nature projects! Thanks for the journey little crystal.

09-09

09-08

Posted on by Jean Constant

09-08. Sapphirine #6.

There is something very totemic in the polyhedral arrangement of the sapphirine crystal. Quite impressive for such a small mineral

From a resource by P. B. Moore

09-08

09-07

Posted on by Jean Constant

09-07. Sapphirine #5.

Another beautiful sculpture could have been coming from a Brancusi or Noguchi sketchbook.

All I had to do was to reduce the number of atoms from 202 to 53 and polyhedra down to 13

It only took me a few hours to get there, but a privilege of the arts – nature is an inspiration to us and needs not to be tied to the exact descriptive we would expect from our scientists.

09-07

09-06

Posted on by Jean Constant

09-06. Sapphirine #4.

Nothing more I wanted to do here!

The sapphirine crystal structure is so odd – it makes for a unique and remarkable design. This is the polyhedra P1 symmetry view from the c axis I extracted from the Vesta software. Abstract, modern and so timeless at the same time. 

Nature never ceases to surprise the designer in me!

From a resource by Higgins & Ribbe – a sapphirine from Madagascar

09-06

09-05

Posted on by Jean Constant

09-05. Sapphirine #3.

Sapphirine on a cube.

From a close-up of a sapphirine cell structure to a reconstructed sapphirine cube – it all looks very busy – yet playful, somewhere.

From a resource by S. Merlino

09-05

 

09-03

Posted on by Jean Constant

09-03. Sapphirine #1.

I’ve always found Cubism a little unsettling, maybe because of its lack of any apparent symmetry. A little like sapphirine it seems (the double p came at the end of the 1800’s), the mineral of week 36.

All this mineral has in common with Sapphire (a variety of corundum) is its dark blue color. Where the Sapphire is trigonal, the sapphirine is triclinic – meaning three unequal axes all intersecting at oblique angles while crystals in the trigonal system are symmetrically triangular.

The sapphirine P1 symmetry is called periodic by mathematicians. It is far from obvious and hard to find at a glance. It will be interesting to explore for a week these tightly packed, busy little atoms and find beauty in their apparent chaos.

09-03

08-05

Posted on by Jean Constant

08-05. Kaolinite #7.

A mineral with a sense of humor!

Kaolinite geometry lends itself well to some mathematical fun. Maybe a very subjective interpretation of the crystal shape – but in my mind, it fits quite naturally iin paper making production.

The polyhedra chain at the bottom of the image: a kaolin ream of paper. The two central motives: the same ream of paper cut in 8×10 sheets of paper neatly stacked on top of each other.

Credit should go to VESTA artistic side and its very inspiring mineral modeling visualization.

From a resource by Bish and Von Dreele.

08-05

08-04

Posted on by Jean Constant

08-04. Kaolinite #6.

The Kaolinite crystal has a simple double triangle geometry – or maybe not that simple design-wise if you let symmetry and tessellation take over. Another gift of nature for us to grab if we know where to look.

From a resource by W. Gruner.

08-04

08-03

Posted on by Jean Constant

08-03. Kaolinite #5.

Kaoline puts me again in an origami state of mind. The vertices arrangement of its geometry and the prominent double triangle may have something to do with it.

08-03