They are very concise, and yet they emphasise the geometric considerations which are often obscured by the use of co-ordinates. Differential Geometry of Three Dimensions. By Prof. C. E. Weatherburn.

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Grassmann-Clifford-Hodge multilinear differential geometric algebra. The Grassmann.jl package provides tools for computations based on multi-linear algebra and spin groups using the extended geometric ...

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The subject is presented consistently in a unified geometric formalism, relying on the calculus of exterior forms and the mathematics needed to develop the theory is explained in appropriate chapters.

Preliminary notions -- Vectors -- Circles -- Coaxal systems of circles -- The representation of circles by points in space of three dimensions -- Mappings of the euclidean plane -- Mappings of the ...

Aether addresses a fundamental challenge in AI: integrating geometric reconstruction with generative modeling for human-like spatial reasoning. Our framework unifies three core capabilities: (1) 🌏 4D ...

This particular "treehouse" was designed by James G. Tropfenbaum and, to no one's surprise at seeing the exterior, was built in 1979. Perhaps less expected is the interior, where the vibe is more loft ...