a perspective on mathematics, the pattern, and the abstract

Posts tagged: animation

The secret lives of invisible magnetic fields are revealed as chaotic ever-changing geometries . All action takes place around NASA’s Space Sciences Laboratories, UC Berkeley, to recordings of space scientists describing their discoveries . Actual VLF audio recordings control the evolution of the fields as they delve into our inaudible surroundings, revealing recurrent ‘whistlers’ produced by fleeting electrons . Are we observing a series of scientific experiments, the universe in flux, or a documentary of a fictional world?.(via Magnetic Movie)

This video, by Semiconductor, is an artistic rendering exemplifying the dynamics of electromagnetic phenomenon happening around us and through out the universe. The animations are set to audio from VLF radio-wave recordings produced from real ambient sources such as weather systems, electrical storms, the Earth’s core, the upper atmosphere, and solar wind traveling to us all the way from the Sun.

Also, be sure to check out one of my favorite blogs, spooky(abstr)action, over at spookyactioncollective.tumblr.com where you can find quality posts ranging on topics like science, math, and technology amongst many other intriguing and peculiar things.

Transverse plane wave

Propagation of a transverse spherical wave in a 2d grid

Plane pressure pulse wave

Representation of the propagation of an omnidirectional pulse wave on a 2d grid

Source:
magna-cold-pizza

Notes: 49
9/15/11 — 1:13pm
Filed under:
#GIF
#science
#waves
#animation
#physics
#wavy

More IFS here

GIF source: Java app

An ideal rotation around the point at infinity in the disc and upper half plane model of the hyperbolic plane

Source:
bulatov.org

Notes: 41
8/12/11 — 5:10pm
Filed under:
#GIF
#animation
#math
#geometry
#hyperbolic geometry

Rotation around the symmetry axis of 4th order in the disk and upper half plane models

A Moebius transformation can be used to transform the disk model to the upper half plane model of the hyperbolic plane.

Source:
bulatov.org

Notes: 20
8/12/11 — 3:32pm
Filed under:
#GIF
#animation
#math
#Moebius transform
#conformal
#hyperbolic geometry
Hyperbolic translation along the horizontal axis in the disc model, and along both horizontal and vertical directions in the band model

Source:
bulatov.org

Notes: 24
8/12/11 — 2:43pm
Filed under:
#GIF
#animation
#math
#geometry
#hyperbolic geometry
An ideal rotation around the point at infinity in the disc and band model of the hyperbolic plane

Source:
bulatov.org

Notes: 5
8/12/11 — 1:50pm
Filed under:
#GIF
#animation
#math
#geometry
#hyperbolic geometry

Rotation around the symmetry axis of 4th order in the disk and band models

Source:
bulatov.org

Notes: 18
8/12/11 — 12:58pm
Filed under:
#GIF
#animation
#math
#geometry
#rotation
#hyperbolic geometry

This is a hyperbolic tiling with right angled regular pentagons shown in the disk model and the band model. The animation shows how one model is transformed to the other using the complex map

The points +1 and -1 get sent to +∞ and -∞, respectively, and the points +i and -i remain fixed.

Source:
bulatov.org

High-res
Notes: 9
8/12/11 — 12:34pm
Filed under:
#GIF
#animation
#math
#geometry
#conformal map
#hyperbolic geometry
This is a hyperbolic tessellation with Schläfli symbol {4, 12} shown in the Poincaré disk model and in the band model. The animation displays a rotation of the hyperbolic plane.

Source:
images.math.cnrs.fr

Notes: 32
8/11/11 — 6:48pm
Filed under:
#GIF
#animation
#math
#geometry
#tessellation
#hyperbolic geometry
#tilings
#papers
This is a shiny torus knot.

Source:
zipper.deviantart.com

Notes: 97
8/8/11 — 7:00pm
Filed under:
#GIF
#animation
#math
#knot theory
#torus