Animated Quasicrystal
Δημοσιεύτηκε στις 4 Φεβ 2014
From Wikipedia:
"A
quasiperiodic crystal, or, put succinctly, quasicrystal, is a structure
that is ordered but not periodic. A quasicrystalline pattern can
continuously fill all available space, but it lacks translational
symmetry. While crystals, according to the classical crystallographic
restriction theorem, can possess only two, three, four, and six-fold
rotational symmetries, the Bragg diffraction pattern of quasicrystals
shows sharp peaks with other symmetry orders, for instance five-fold."
This
quasicrystal has 29-fold rotational symmetry and is made by rotating 29
plane waves by π/n for n=1 to 29 and adding them all together. The
basic idea behind this animation is that the pixel at (x,y) is
determined by
f(x,y)=Σ sin(x cos(π/n) - y sin(π/n) + θₙ)
with
each f(x,y) rescaled to lie in the range [0,1]. The animation is made
by transitioning through several color gradients and rescaling methods,
while being parametrized by the individual phases θₙ.
Another animation with 7-fold symmetry can be found here: http://youtu.be/W_ufqM-V84o
----------------------------------------
The music is "Explore, be curious" by Cloudkicker, available under the Creative Commons Attribution license.
http://cloudkickermusic.com/track/exp...
http://creativecommons.org/licenses/b...
http://cloudkickermusic.com/
http://blog.cloudkickermusic.com/
https://soundcloud.com/bmsharp
"A
quasiperiodic crystal, or, put succinctly, quasicrystal, is a structure
that is ordered but not periodic. A quasicrystalline pattern can
continuously fill all available space, but it lacks translational
symmetry. While crystals, according to the classical crystallographic
restriction theorem, can possess only two, three, four, and six-fold
rotational symmetries, the Bragg diffraction pattern of quasicrystals
shows sharp peaks with other symmetry orders, for instance five-fold."
This
quasicrystal has 29-fold rotational symmetry and is made by rotating 29
plane waves by π/n for n=1 to 29 and adding them all together. The
basic idea behind this animation is that the pixel at (x,y) is
determined by
f(x,y)=Σ sin(x cos(π/n) - y sin(π/n) + θₙ)
with
each f(x,y) rescaled to lie in the range [0,1]. The animation is made
by transitioning through several color gradients and rescaling methods,
while being parametrized by the individual phases θₙ.
Another animation with 7-fold symmetry can be found here: http://youtu.be/W_ufqM-V84o
----------------------------------------
The music is "Explore, be curious" by Cloudkicker, available under the Creative Commons Attribution license.
http://cloudkickermusic.com/track/exp...
http://creativecommons.org/licenses/b...
http://cloudkickermusic.com/
http://blog.cloudkickermusic.com/
https://soundcloud.com/bmsharp
Κατηγορία
Άδεια
- Τυπική άδεια YouTube
ANAΡΤΗΣΗ ΑΠΟ ΤΟ YOUTUBE 6/5/2015
Δεν υπάρχουν σχόλια:
Δημοσίευση σχολίου