A glance at this hypercube gave me a vision of a hyper-tetrahedron. There is such a thing, but it wasn’t what I imagined. So I call this a Double Tetrahedron. I pictured a tetrahedron, a 3D object, projected onto a flat surface. By mentally grabbing an apex I saw it could be dragged into a parallelogram shape. Then I pictured two of those in 3D, one positioned over the other. Then I connected each of the four apexes of the top one to the bottom one. It took a few pencil sketches to clarify.

I saw that each apex plus connecting edge made four edges out of each apex. Now I placed a Quantussy Cell at each node. Since a Quantussy Cell has two inputs and two outputs, all I had to do was figure out how to connect them, so as to make a modular patch.

Details of the geometry

Above I have replicated the block diagram of a Quantussy Cell. It outputs a triangle, sine, or ramp wave at the Green terminal and a Sample & Hold output at the Red terminal. Gray is the input to the S&H that comes out at the Red. Violet goes into a second S&H that is used internally to control the speed of the LFO.

The diagram shows how the eight cells are interconnected. My strategy was to have the Red to Violet paths form a complete cycle around all eight and likewise for the Green to Gray (dotted lines).

Implementation

Four of the cells were made with a Tromso + half of a Frogleg Synthesis Dual S&H. The other four were each made of one Xaoc Batumi LFO + a 2hp S&H.

For the audio, the first stereo voice takes two sine waves from Cubusynth Engine through Patching Panda Punch V3 and then through a tanh[3] channel and then through Non-Linear Memory Machine. The second stereo voice uses the Dannysound oscillators, Cu-Bit Cascades, and Qu-Bit Aurora. Lots of CV taken from the Quantussy Cell arrangement was used for modulation.