Tuesday, December 16, 2014


This dancer comes close to how it feels when I'm imaging the motion of particles in my mind : )


On a funky sided note 'Akasha Tattva' is the 0val particle that is the Aether:

"Akasha (or Akash, Ākāśa, आकाश) is the Sanskrit word meaning "aether" in both its elemental and metaphysical senses.

Akasha is space in the Jain conception of the cosmos. It falls into the Ajiva category, divided into two parts: Loakasa (the part occupied by the material world) and Aloakasa (the space beyond it which is absolutely void and empty). In Loakasa the universe forms only a part. Akasha is that which gives space and makes room for the existence of all extended substances." http://en.wikipedia.org/wiki/Akasha

Akasha - Spirit - black or indigo vesica piscis or egg.

The mathematical ratio of the height of the vesica piscis to the width across its center is the square root of 3

Monday, December 15, 2014


(J. Lampel & F. Steinmetz)


Rough storyboard for the movie:

Animated gif version:
Check out this incredible animation by 'Aixponza' that has a similar vibe:

Tuesday, November 25, 2014

Sunday, November 16, 2014

Back Bone & Grid

Saturday, November 8, 2014


Particle Pair Creation

Torus Formation (Snake & Apple)


Monday, September 15, 2014

Harmonograph / Elementary Rhythmic Patterns

A harmonograph is a mechanical apparatus that employs pendulums to create a geometric image ...

(source: Wiki + BirdandBee)

The most elementary patterns are:
Torus (Open phase - unison 1:1) 
Fig. 8 (Open phase - octave 2:1) 
Trefoil-knot (Counter current - octave 2:1) 

(Source: Wooden book Sacred Number)

Sunday, August 24, 2014

Connected Funnels

1. There is a motor that keeps the big wheel spinning.
2. There is a connection between small and big : flow / transmission.
3. The big wheel acts like a Flywheel with lots of potential energy.

-- Falcao Soliton / U-Tube --

4. Now for the transmission between the big and the small wheel, like a bike, you need a chain/flow and they have to be able to rotate at dependently. This you get when you have a diagonal flow which is the case for the vortices in the water, when there’s a sinkhole or a connection.
5. So there are two different wheels with two different velocities.
6. To get this you need a structure (which is generated by the movement with the dinner plate).
7. This all brings us to the Torus which is a large rotating Flywheel, and a small inner wheel string-shape : Funnel.
8. Same thing for the fig. 8
9. The string in between also causes for dissipation so everything is in balance and can keep on going. Suction on top with the Open funnels, Dissipation along the wire.
10. The different rotational direction of the 2 U-turn vortices keeps the connection flow in balance, like the chain-link of a bike but twisted.
11. There’s an overal equilibrium state thanks to a 3 Dimensional structure.

Friday, August 15, 2014

Extra Dimensions (V=1)

  • 1D: you can keep a steady line; with a velocity in the x=1
  • 2D: you can keep a stationary formations: square, circle … or a wavy path; the velocity becomes a combination of xy
  • 3D: to move those rotating 2D formations forward you need a 3th dimension (xy-z). Because if you move a rotating formation forward in 2D, every particle starts to have a different velocity, only by adding an extra dimension is it possible to move them together forward in a particular direction, and keep their formation rotation going.
  • 4D: to move those round or forward moving formations, one needs again an extra dimension; xyza


Saturday, August 2, 2014

Closed Hilbert Curve

After finding a topic on Continuous Fractal Space-Filling (Hilbert) Curves ...

... in a math-book in the library this week ...

... I started looking for them on the internet and came across a neat tool on the Wolfram-site:

(CDF player: http://www.wolfram.com/cdf-player/ - 200 Mb or so)

But because the curve was open, I asked the developer Dr. Michael Trott if he could ad a closing option, like the picture in the book … and hey! he send me this adjusted cdf-file/code where the loop is closed ... et voilà there was the Fig. 8 knot, check it out:

Friday, July 11, 2014

Ovals & Trefoil Knot


Wednesday, July 2, 2014

Two ellipses scanning for contact

Simulation made by Krypt0n

Yellow and purple are the tangent at the closest points, white connecting line is the shortest distance between ellipses, long white lines are tests for: http://en.wikipedia.org/wiki/Hyperplane_separation_theorem

Game Theory / Deflection Scheme

Saturday, April 26, 2014

Game Developer

I'm looking for a Game Developer ...

War of the Ants

TV noise is a fun reference for the Aether medium.
See post: Spiraling Figure 8

Noise, in analog video and television, is a random dot pattern of static displayed when no transmission signal is obtained by the antenna receiver of television sets and other display devices. The random pattern superimposed on the picture, visible as a random flicker of "dots" or "snow", is the result of electronic noise and radiated electromagnetic noise accidentally picked up by the antenna.

Since one impression of the "snow" is of fast-flickering black bugs on a cool white background, in Sweden, Denmark and Hungary the phenomenon is often called myrornas krig in Swedish, myrekrig in Danish, hangyák háborúja in Hungarian, and semut bertengkar in Indonesian, which translate to "War of the Ants" or sometimes hangyafoci which means "ant soccer", and in Romanian, purici, which translates into "fleas".

Tuesday, March 11, 2014

Tippy Top

A 'Tippy Top' is a spherical object like an oval/ellipse with its center of mass out of the middle when spun. The reason it tip's over has got to do with Momentum of inertiaTorque and Force of friction.

Monday, March 3, 2014

Figure 8

... a flower (8) might pop up ...

Thursday, February 13, 2014

Extreme Vortex Confinement

Simulation made by JAHC

Vorticity Confinement has a basic familiarity to solitary wave approach which is extensively used in many condensed matter physics applications. The effect of VC is to capture the small scale features over as few as 2 grid cells as they convect through the flow.

Thursday, February 6, 2014

Granular Medium

Granular-Medium simulations made by Nicholas Guttenberg with his GRNLR particle simulator. The program was orignally used for studying granular jets, wet granular droplet impact, and tipping icebergs.
Ref. "An approximate hard sphere method for densely packed granular flows" (link - 283 kb
Ref.: "Grains and gas flow: Molecular dynamics with hydrodynamic interactions" (link - 207 kb)

In WooDEM we had the problem that particles slowed down due to dissipation (Coefficient of Restitution < 1). So energy was being constantly removed from the simulation due to collisions, to keep the particles going Nicholas used 3 solutions in his program for adding energy:

A. Swimmers: after interaction a force is added to keep the particle's velocity close to 1

  • The first ‘v’ is a vector,
  • |v|^2 is a scalar,
  • ’a’ is a scalar that controls how strong this force is.
This turns the particles into active swimmers, and you can create interesting structure by doing this in the presence of a high density of particles (basically they have to move because of the force, but they want to be still because they're near the jamming point, so they end up moving in large-scale vortices similar to those in the Twirls video).
B. Thermalisation: adding a force to keep energy despite dissipation

  • ’T’ is the desired temperature (normally there'd be a measure of dissipation, but your dissipation is due to inelastic collisions),
  • ‘dt’ a time-step used by the algorithm (needed for of how noise scales),
  • ‘eta’ a random number generated every time you call the function to get the force. 
This will cause the particle motions to have some relatively constant level of energy despite dissipation. 
C. Rescale time-step: so motion occurs at a constant velocity

For hard grains there is no inherent energy scale, so a system of grains moving at 1mm/year and a system of grains moving at 100 m/s have the same physics, just strewn out over a different time scale.
What you could do is snap a frame at irregular intervals. First at every second, as the grains slow down, then every 2, 4, 8, ... The right interval to use would be based on the square root of the system's average energy (e.g. sum up v^2 for every grain, divide by the number of grains, then take the square root and multiply by a constant to make it look good).


Wednesday, January 29, 2014

LC : Nemantic, Smectic and Chiral Phase


"One of the most common Liquid Crystal (LC) phases is the nematic. The word nematic comes from the Greek νήμα (nema), which means "thread". This term originates from the thread-like topological defects observed in nematics, which are formally called 'disclinations'. Nematics also exhibit so-called "hedgehog" topological defects. In a nematic phase, the calamitic or rod-shaped organic molecules have no positional order, but they self-align to have long-range directional order with their long axes roughly parallel. Thus, the molecules are free to flow and their center of mass positions are randomly distributed as in a liquid, but still maintain their long-range directional order."
Mutually tangled colloidal knots and induced defect loops in nematic fields

"Colloidal dispersions in liquid crystals can serve as asoft-matter toolkit for the self-assembly of composite materials with pre-engineered properties and structures that are highly dependent on particle-induced topological defects. Here, we demonstrate that bulk and surface defects in nematic fluids can be patterned by tuning the topology of colloidal particles dispersed in them. In particular, by taking advantage of two-photon photopolymerization techniques to make knot-shaped microparticles, we show that the interplay of the topologies of the knotted particles, the nematic field and the induced defects leads to knotted, linked and other topologically non-trivial field configurations."
Phase Separation of mixtures of isotropic liquids and liquid crystals

"Elasticity of LC-rich nematic phase affects the phase separated domain pattern significantly. For examples, we often observed the triangle and tear shaped droplets of isotropic phase. We demonstrated the two types of ordering processes, which we called isotropic and nematic spinoidal decompositions."

"When the mixture is quenched to the point, where is metastable for phase separation and unstable for nematic ordering. nematic transition occurs quickly than phase separation. In this case, the phase separation proceeds via nucleation and growth process."
Möbius strip ties liquid crystal in knots

  • Liquid crystal are composed of long, thin, rod-like molecules which align themselves so they all point in the same direction. By controlling the alignment of these molecules, scientists can literally tie them in a knot.
  • To do this, they simulated adding a micron sized silica particle - or colloid - to the liquid crystal. This disrupts the orientation of the liquid crystal molecules.
  • For example, a colloid in the shape of a sphere will cause the liquid crystal molecules to align perpendicular to the surface of the sphere, a bit like a hedgehog’s spikes.
  • Using a theoretical model, the University of Warwick scientists have taken this principle and extended it to colloids which have a knotted shape in the form a Möbius strip. http://www2.warwick.ac.uk/newsandevents/pressreleases/m246bius_strip_ties
Liquid-crystal-mediated self-assembly at nanodroplet interfaces

Technological applications of liquid crystals have generally relied on control of molecular orientation at a surface or an interface. Such control has been achieved through topography, chemistry and the adsorption of monolayers or surfactants. The role of the substrate or interface has been to impart order over visible length scales and to confine the liquid crystal in a device. Here, we report results from a computational study of a liquid-crystal-based system in which the opposite is true: the liquid crystal is used to impart order on the interfacial arrangement of a surfactant.

"Schematic of alignment in the smectic phases. The smectic A phase (left) has molecules organized into layers. In the smectic C phase (right), the molecules are tilted inside the layers. The smectic phases, which are found at lower temperatures than the nematic, form well-defined layers that can slide over one another in a manner similar to that of soap. The word "smetic" originates from the Latin word "smecticus", meaning cleaning, or having soap like properties.[21] The smectics are thus positionally ordered along one direction. In the Smectic A phase, the molecules are oriented along the layer normal, while in the Smectic C phase they are tilted away from the layer normal. These phases are liquid-like within the layers. There are many different smectic phases, all characterized by different types and degrees of positional and orientational order."
The Growth and Buckling of a Smectic Liquid Crystal Filament

Growth by permeation and drag-induced buckling instabilities have been observed in the dynamics of thin filaments in an isotropic-Smectic A ($I-S_A$) phase transition of liquid crystal fluid, and in lipid bilayer tubes evolving in a fluid medium. With motivation from the experiments with liquid crystal, we have been studying the dynamics of a growing elastic filament immersed in a Stokes fluid. By combining results from slender body theory, Green's function methods, and elasticity theory, we express the self-induced velocity of the filament as the nonlocal consequence of forces the filament exerts upon the incompressible fluid by its elastic response and growth.

"The chiral nematic phase exhibits chirality (handedness). This phase is often called the cholesteric phase because it was first observed for cholesterol derivatives. Only chiral molecules (i.e., those that have no internal planes of symmetry) can give rise to such a phase. This phase exhibits a twisting of the molecules perpendicular to the director, with the molecular axis parallel to the director. The finite twist angle between adjacent molecules is due to their asymmetric packing"

Tuesday, January 28, 2014

Test Results

A. One cw-flow colliding against one ccw-flow -> forming a central Stem-like flow:

B. Ellipsoidal vs. Spherical particles:

C. Spherical: Two circular flows (cw - ccw) quickly smoothing out into one circular flow:

D. Ellipsoidal: Out of the tessellated starting setting, flows start to emerge after a few seconds:

Friday, January 24, 2014

Spin Around & Aligning with the Hertz Model

By changing the 'Material model' in the Woo-DEM from 'Linear' to 'Hertz' it is possible to make the particles go round, be it Clock-Wise or Counter Clock-Wise, the direction is incidental.

“The Hertz-Mindlin model begins by assuming that contacting solids are isotropic and elastic, and that the representative dimensions of the contact area are very small compared to the various radii of curvature of the undeformed bodies. Another assumption of the Hertz-Mindlin model is that the two solids are perfectly smooth. Only the normal pressures that arise during contact are considered (the extensions of Hertz theory for the tangential component of traction will be discussed later). The Hertz-Mindlin contact-force-displacement law is nonlinear elastic, with path dependence and dissipation due to slip, and omits relative roll and torsion between the two spheres. Strictly speaking, the simplified contact force-displacement law is thermodynamically inconsistent (i.e., unphysical), since it permits energy generation at no cost.”

If you want you could check out the action yourself in Woo-DEM,  the program is free (http://www.launchpad.net/woo), and it’s just a 5 to 10 minute download & installation, copy these lines into your Ubuntu Terminal and you're good:

sudo add-apt-repository ppa:eudoxos/woo-daily
sudo apt-get update
sudo apt-get install python-woo

or use the singlecore-version:

sudo add-apt-repository ppa:eudoxos/woo-daily
sudo apt-get update
sudo apt-get install python-woo-singlecore

To start the program simply type in ‘woo’ and next you can press the F10-key to launch the control panels. Chose at the Preprocess-tab the preset plugin ‘EllGroup (woo.pre.ell2d)’, select Hertz (highlighted in yellow) to make ‘m go round and press the arrow in the lower right corner to process these  settings.

Press Play (>) at ‘Simulation’ to start all the action, you can switch ‘Trace particles’ on/off at the Trace-tab; for coloring the particles look at the Display-tab where you set ‘colorBy’ to ‘angVel’ and select ‘Z’ at ‘vecAxis’ or chose some other settings, have fun!

btw notice that the 'Restitution coefficient' (COR) is set to 0.7 if you boost it up to 0.99 then there's less disipation, and the particles will move more dynamic and for a longer time, but by doing so the subtle aligning interaction is gone and they become again chaotic, acting similar to the ‘Linear’ method ... and that *special* circular motion is gone. Hopefully this can be fixed.

For more info on Contact Models and Coefficient Of Restitution in Woo: