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May 5, 2015

Crystal Pattern

Posted By Snow at 5/05/2015



ما شاء الله it's beautiful... This is a girih pattern said to be from Iran.

In my eyes, it seems to look similar to quasicrystal. Quasicrystal is thought to be a new discovery in maths and chemistry; but this beautiful pattern has graced the architectures in the muslim world as early as the 13th century. Like the Darb-i Imam in Isfahan, Iran dan Alhambra Palace in Spain. [Nobel | NYT] الحمد لله

Pattern in Darb-i Imam
SCIENCE MAG


The patterns on the medieval architectures are not simply patterns. When chemists see it, they see how atoms can bond into quasicrystals.

So, how does both mosaic tiles and atoms bond into quasicrystals? See the shapes below, all of them can be tiled repeatedly without leaving gaps — except for the pentagon. OK I'm not an expert... ha ha. But if you want to tile the pentagon nicely, you break the pentagon into smaller pieces, rotate and tile, until you get a pattern which does not repeat. Right?



A pattern which does not repeat, is quasicrystal.

And the size of the rotated pieces are related to the Golden Ratio, as to not leave gaps. | reference

بسم الله الرحمن الرحيم
أفلم ينظروا إلى السماء فوقهم كيف بنيناها وزيناها وما لها من فروج
Have they not looked at the heaven above them - how We structured it and adorned it and (how) it has no rifts? [Al-Quran 50:6]
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OK, this is my attempt to tile pentagons, hexagons & octagons. Is the Iranian soul in my blood... but more importantly, is this right? Hope I'm not mistaken. Well, it has its measurements. Perhaps one day, Allah SWT will bless with the knowledge to build medieval 14th century dome, like Turabeg Khanym. ما شاء الله



Nobel Prize in Chemistry 2011
Quasicrystal by Dan Shechtman


Atoms were believed to be packed inside crystals in symmetrical patterns that were repeated periodically. But Shechtman saw atoms in crystals packed in a pattern that could not be repeated. Initially, his findings was dismissed as impossible, and he was asked to leave his research group. But eventually it forced scientists to reconsider their conception of the very nature of matter.

A Swedish company has also found quasicrystal in certain steels, which reinforces it like armor. | Nobel


I seek refuge in Allah SWT from errors
Only Allah SWT Knows Best والله أعلم

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1 comments on "Crystal Pattern"

Snow on May 6, 2015, 1:44:00 PM said...

This was inspired when I looked down at people circling the Kaabah | photo
And this is the 'pentagon galaxy' | photo
Are they quasicrystals? What are they... (◠v◠)'


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