Published on: 2025-07-26 02:34:56
It can be tempting to assume that your intuitions about three-dimensional space carry over to higher-dimensional realms. After all, adding another dimension simply creates a new direction to move around in. It doesn’t change the defining features of space: its endlessness and its uniformity. But different dimensions have decidedly different personalities. In dimensions 8 and 24, it’s possible to pack balls together especially tightly. In other dimensions, there are “exotic” spheres that look ir
Keywords: dimensions exotic manifold sphere spheres
Find related items on AmazonPublished on: 2025-11-13 15:54:17
Projective Geometric Algebra Using one extra dimension, we obtain the plane-based Projective Geometric Algebra for 2 and 3 dimensions. Its elements are points, lines and planes. It includes elements at infinity and has exception free join and meet operations. Its even subalgebra provides in rotations & translations and is isomorphic to the dual quaternions
Keywords: algebra dimensions elements geometric projective
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