Pressure is Balanced Out vs Colliding

## Thursday, July 4, 2024

### Tweedle Dee - Tweedle Dum

## Friday, March 29, 2024

### Dynamic Foam Emerging from a Gas of Vibrating Particles

The hypothesis is that the Dynamic Foam ...

... can emerge out of a gas of particles that have an attraction-repulsion force that's in-sync with their vibrational rhythm.

**repel**their neighbours while

**expanding**(+) vs

**attract**when

**contracting**(-)

**different timing**can be contracting and attracting each other, but when one starts to expand again before the other, it will push that neighbour away ->

**chaos**

**same timing**are in harmony and bounce together ->

**spherical**or

**linear group**

**Random**-->

**Voronoi**

## Saturday, March 16, 2024

### Mockups in Midjourney

So long story short I haven't been able to make any significant leap forward to boost up the simulator to a large scale, so I've switched now to make an animation of the whole concept and made some mockups in Midjourney. To be continued ...

### Physics of the Dynamic Foam

• The tiny vibrations are like gas-particles and Space became a dense misty cloud.

• At random points in this cloud the vibrations started to align and harmonise (blue).

• The expanding harmonious dots collided and form a pressure regions (red).

• A Voronoi pattern (foam) formed and the edges distributed the intense pressure.

• The pressure distribution can’t make <90°-turns and is cut-off at certain junctions.

• The strength of the currents in the edges affect the size of the cells: heating up vs. cooling down. Changing cells-sizes change consequentially the angles … and the mesh becomes dynamic.

• Stable fluctuations emerge that form strings that can turn into knots.

• Gradual pathways 'pinch' Space.

### Flow regulated by Local Tree Network:

The idea was to simplifying the Monte-Carlo-Marcov-Chain method to just a small Local Tree Network.

a. It’s still the same starting idea of junctions are open ( > 90°) or closed ( < 90°)

b. The simplification was to calculate the weight of each edge based on the number of connections with only small local percolation-tree, that should do:

c. The total weight of the edges of around a cell defines its pressure.

d. The pressure changes between cells pushes them further or closer together.

Here’s a small test by Markus Rawdy who came up with this sim in Houdini:

### The Fabric of Space

The Fabric of Space is a Semi-Solid like a Foam .

Think of this Truchet FBM Lace toy by Fenix to get a feeling:

1. Currents in the edges.

2. When a junction is open current can pass.

3. Depending on the Force of the current a Bubble/Field can Expend or Shrink.

We can model this foam with a tri/tet mesh.

4. When there is a lot of current in ‘voronoi’ edge Y between A,B than the ‘delaunay’ edge between A-B contracts, otherwise it expands.

The diagram below shows the different parts of calculating the Gates, using a Graph Network to calculate the flow in all the Edges, and finally how the mesh contracts or expands at different parts.

Note, the idea is that by using a small local tree this whole Graph-Network is no longer necessary, see next Local Tree Network post.

### Processing Schemes & Diagrams II

1. A tri/tet (Delaunay) mesh is the physical backbone.

2. Via the Barycenters we can check if ‘gates’ of it’s dual (virtual) Voronoi mesh are open or closed.

3. The results form a Graph Network.

4. With Monte Carlo Markov Chains (MCMC) walks we measure the currents.

5. The value of these currents defines the deformation of the dual tri/tet-edges.

6. Loop back to 2.

## Tuesday, July 11, 2023

### Markov-Chains in VoroX

For VoroX.jl BenoĆ®t build a system that is similar to Google’s PageRank that uses Markov Chains, where web-crawlers are released onto the internet to measure the connections and generate rating of sites.

**• Energy, Scale and Critically**

**• Circumcenter / Barycenter / Incenter**

**• Expansive Flow / Contractive Flow**

**Height:**

**Point size, Center size, Edge width, Circuit width:**

**Decay:**