A bit more math, singing that Sycl song.

VEXEL: One point-unit in the geometry, containing the mathematical state and data fields for that coordinate. NGine: The active transformation associated with each VEXEL. It reads the VEXEL, consults neighboring state, rules, and lookup tables, and produces the next state. VEXAFRACTA: The complete N × N × N volume formed from stacked VEXEL planes. Conceptual […]

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Current design thoughts

1. Initial goals and expectations – a self-interacting computational field: Fractal-like and harmonic organization emerges from bulk interaction rather than from computation within individual units. 2. Core Data Layer – The Sigmoid LUT (TANH to be considered separately): At the foundation sits a highly optimized 256-entry lookup table (LUT) generated via a classic logistic sigmoid […]

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Paradox Lost

A short list of well known paradoxes and my solutions Zeno’s Paradox: before an object can travel a distance, it must first travel half the distance. To travel that remaining half, it must first travel half of that distance (a quarter of the total), and so on, infinitely. Because this requires an infinite number of […]

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An Engine of Necessity

Modern CPUs have multiple cores, thread and resource management and context switching in ways that were nearly unimaginable in the old days. But they still excel at running serial, sequential programs. GPUs, NPUs and other massively parallel processors are far better at concurrency, simultaneous processing of many small computations across large chunks of data, parallel […]

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