01-07 – Diamond #7.

In geometry, the hypercube is the generalization of a  3 D cube as seen from an outside perspective. What happens then to objects moving outside of the 4D boundaries as in the central hypercube?

Is there such a thing as a fifth dimension? And if so what are its parameters?

From an original template by M. Straumanis.

52 grains of sand


01-05 – Diamond #5.

A 4D diamond – or the making of a rose-cut!

The rose cut is a cube appearing within a diamond.  Its geometry was created back in the 16oos. Although it may not have been intended that way – it is the first and closest representation of a hypercube created from a natural element. The background sphere of the image (the matrix) is composed of 9196 atoms, 16729 bonds, 3363 polyhedra. The cubes are the structure of the binding connection between the atoms. Original file, courtesy T. Kiszenick.

52 grains of sand


01-04 – Diamond #4.

Oops – First hurdle! Was it the .cif file, the VESTA program, Illustrator – or even my graphic card? – I lost all my transparencies! The file looks beautiful in VESTA, but I couldn’t export it the way I wanted. I’ll have to move on with what I’ve got. R. Wyckoff’s file dates back to 1963 – minimal in the life of a diamond – an eternity in the life of a computer!

52 grains of sand


01-03 – Diamond #3.

Each honeycomb is a very complex shape – 290 atoms, 1654 bonds. For some reason, it reminds me of a Tangram puzzle – The triangle shape maybe? I inserted one of yesterday’s polyhedra to highlight the difference between images originating from the same template.

52 grains of sand


01-01 – Diamond.

Starting the year with a diamond looks like a good foundation for this 52 weeks project. Carbon apparently is the common element to all known life. This particular figure is composed of 46 atoms, 56 bonding, and 14 polyhedra. Tweaking a 3D figure into an orthographic projection transforms it into a set of patterns that reminds me of many ancient cultures. Maybe they knew something about it too?

52 grains of sand