i have discovered my version of the quasicrystal's tessellation on the 28th December 2004, eight years before the Nobel Prize was given for the discovery of the quasicrystals by Dan Shechtman in 1982.
In the spring/summer of 2005 my friends and i have rented a 100 acre farm outside of the King city North of Toronto at Kleinburg, where i have made the first ever pentagon tile painting based on my design. First beaing a partial image of the pentagon tile made on 100% hamp canvas, the second being the first and biggest mandala of it, the full circle, with each arm in different colours.

By autumn of that year, i have presented my first pentagon tile triptych The Colour Wheel Series I, done using the fluorescent & metallic acrylics on 60"x60" canvas in the middle, with two 48"x48" flanked on the both sides, at the Museum Of Contemporary Canadian Art as part of a group show organized by Monty Cantsin Amen.

In 2006 my big 1st colour wheel of the pentagon tile painting was accepted, to my surprise, and printed on the cover of the MAPS.org 2006 calendar commemorating 100th birthday of Dr. Albert Hofmann, who notoriously was first ever to experience the psychedelic effects of the LSD 25, the lucky number he apparently got in a dream, while famously riding his bicycle on the 19th April 1943.

I am humbled and excited to have been able to contribute to this new field of quasicrystal geometry which can aide in pioneering new frontiers in science and its application for the benefit of the human kind. I want to specifically thank Yehudah H Cullman for pointing out to me the discovery of the quasicrystals and that there was no, to his satisfaction, a pentagon tile due to mathematical impossibilities. i have decided to give it a try designing new pentagon tile based on the x-ray photograph i saw. And on that same day, after only a few hours of thinking about it, i have come up with my version of the pentagon tile. The image with an artist statement:

"The Best Science Visualizations of the Year

13 / 16Seen under an electron microscope, a newly-discovered group of so-called quasicrystals form Penrose tiles, a pattern named after mathematician and physicist Roger Penrose. It was once considered mathematically impossible for crystals to take this form; the discovery otherwise won a Nobel prize in 2012. The impossible, it seems, is merely improbable."

(via Wired Science)
http://www.wired.com/2014/12/best-science-graphics-visualizations-2014#slide-id-1680773:full

http://en.wikipedia.org/wiki/Wikipedia:Featured_picture_candidates/AlexanderBraun