10-07

10-07. Rutile #7.

I started the week with a mask – I end this short exploration of the Rutile geometry with another mask. No recursion, just a front, perspective view of its structure. Such a well-balanced symmetry, it was a pleasure exploring this mineral and finding so many hidden links with pure geometry, abstract design, and West Africa local cultures.

10-07

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10-06

10-06. Rutile #6.

The binding pattern of the rutile crystal is just too pretty to be tampered with! And it brings to mind this deja-vu feeling of some patterns used by local cultures where the mineral can be found. Coincidence maybe, but a beautiful geometrical coincidence.

10-06

10-05

10-05. Rutile #5.

Dancing in front of your eyes: 2029 atoms, 3354 bonds, 559 polyhedra – plus three who escaped this collective shimmy.

From a 1963 resource by R. Wyckoff.

10-05

10-04

10-04. Rutile #4

I’m going tribal. I don’t know why, but that’s what happened – a front view of a rutile crystal shape, some real rutile inclusion, and behind, the unit cell polyhedral structure.

It kind of destroys the poetry of not knowing – but that’s what it is!

From a resource by W.H. Baur.

10-04

10-01

10-01. Rutile #1.

Rutile, strange and mysterious as an African mask.It will be the mineral of week #40 of this short tour of the geometry of Nature. Rutile can be found on the African continent from Sierra Leone to South Africa as well as in Europe Australia and America. Rutile has among the highest refractive indices of any known crystal. What makes it unique is that it often develops in other crystals and make them more valuable in the process creating asterism or cat eye like effect in sapphire, topaz, and rubies.

Considering its size and shape, its structure is quite complex – a tetragonal unit cell where the titanium cations have a coordination number of 6 and are surrounded by an octahedron of 6 oxygen atoms. Maybe that’s what guided me to do the background of this visualization as a pattern of a rutile’s binding between its various atoms. Impressive and inspiring symmetry! The central object itself is a recursive progression of a rutile unit cell polyhedra & atoms.

One last thing about this mineral, nano-size rutile particles are used in sunscreen lotions and because of their optical properties are very effective at absorbing the sun UV radiation. Summer is gone in one part of the world but it’s just starting in another!

10-01