The Mono Matrix demo circut is a 2D matrix of the same or HLO circut used in the power smart head and other desighns. Each node only requires one non-inverting gain stage, only two chips 74HC245 chips are needed for 16 nodes. The capaciter values and resister values aren't important so long as there are all the same. The capaciter and resistor values setthe RC time constants and influence the propagation delay. For the 3D liquid matrix idea I suggest you use clean tap water. I haven't identified a suitable resistively volume for making a continuous resistive plane (sphere ect). The demo circut is powered from a 2V LDO regulator with a LED for Vref to avoid the use of current limiting resistors for the LED output resulting in a significant saving in resistors.
Theory of Operation
The theory of the Mono Matrix is each node is either on (2Vin), off (0Vin), or oscillating (1Vin) depending on the local volatage potential at that point in the matrix. Each node injects a charge into the matrix when changing states (on, off, oscillating), the potential of the adjacent nodes is affected by the sudden change in potential integrated by the matrix time constant and dropping off in a time delayed radial potential gradient pattern away from the injected node. The interaction between nodes should take the form of radial wave propagation with constructive or destuctive interference between other waves in the matrix which may be in or out of phase with each other. There are numerous options to bias the matrix with local or distribted potentials. The LEDs indicate the presence of wave peaks and valleys, this is the substrate for a complex wave form generator. Each node in the matrix uses a non-inverting gain element as a threshold detector with regenerative feedback. Think of this plane as the surface of a liquid with peaks and valleys of waves distorting the surface surface to represent local voltage potentials at each matrix node. Instead of lunar gravitational energy to generate waves, each node in the matrix provides positive feedback to sustain and propagate waveform transistions. The nature of the monocore (a.k.a the High Low Oscillator) is that for input transitions it behaves like an integrator Nu until the inouts reaches the threshold (approx 1/2 Vcc) when the output rapidly changes state while injecting a charge into the matrix thereby regenerating the potential at that node. That way a voltage transition injected (with a switch or sensor) at one corner or edge o the matrix propagates through the array with speed proportional to the local potential and R/C time constant of each node and with LEDs indicating the progress of the wave propagation. Not only that, but a MonoCore will oscillate if the input conditions are on average near the midpoint of the power supply (HC threshold) and this leads to wave self generation. The array can be biased by a voltage gradient across the matrix such that waves follow the gradients and nodes with potential in threshold region behaving as unstable waveform attractors. Waves are dynamically moving voltage gradients. Waves which are injected or self generated at different points in the matrix will interact in complex ways when collide and depending on their phase relationship can demostate phenomena which are akin to optical reflection, refraction, interence, etc.
In the demo circut the 10M resistor connected to each corner node of the matrix with connections to 0V and +2V providing two diagonal potential gradients across the matrix with the nodes at the center of the matrrix midpotential. Tjis should result in starlike LED patterns. Sensors can be used wity 10M resistors to bias individual nodes to 0V, 1V, or 2V reference voltage. The effect of a 1x8 Mono Matrix is, after powering up and with the compents shown, the high bias point monocore 1 is the first to time out and switches and switch states. This resulting in a positve wave rippling from node 1 to 8 with about 0.2 second delay at each node. Then after 2 seconds, the wave reverses with a negative front rippilnig from node 8 to 1 and this continues indefinitely. If a pulse is injected in the center of the array the wave spreads away from the center in two directions.
It requires very little to add memory to the matrix by adding some DC positive feedback at a node which creates a dc potential well biasing the TC of the node and making it more level sensitive and earlier to trigger from an incoming wavefront. The result would be a preferential path through the matrix following potential distributed potential wells.