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voxleone 2 days ago

I'm trying to approach spatial reasoning by introducing quaternions to navigate graphs. It is a change in the unit of traversal — from positional increment to rotational progression. This reframing has cascading effects. It alters how we model motion, how we think about proximity, and ultimately how systems relate to space itself.

The traditional metaphor of movement — stepping from point A to point B — is spatially intuitive but semantically impoverished. It ignores the continuity of direction, the embodiment of motion, and the nontriviality of turning. Quaternion-based traversal reintroduces these elements. It is not just more precise; it is more faithful to the mechanisms by which physical and virtual entities evolve through space. In other words objects 'become' the model.

https://github.com/VoxleOne/SpinStep/blob/main/docs/index.md