the.com/manifold
reality folded so cleverly that locally it lies flat while globally it bends everything.
means In math, a space that looks flat and ordinary up close but can be globally curved or twisted; more loosely, something with many parts, forms, or facets (and in engines, the branched pipe that gathers or distributes gas to the cylinders).
from From Old English 'manigfeald' — literally 'many-fold,' built from 'manig' (many) plus '-feald,' the same fold-sense that gives us 'twofold' and 'threefold.' So the word is itself a picture of something folded many times over. The mathematical sense (German 'Mannigfaltigkeit,' Riemann's coinage in the 19th century) and the engine sense both grow from that same old image of layered, multiple folds.
- local trick
- every patch looks like ordinary flat space
- engine guts
- intake manifolds split one airflow many ways
- einstein's stage
- spacetime is a four-dimensional curved manifold
- poincaré bounty
- its conjecture won a refused million dollars
- hidden dimensions
- string theory hides six in a Calabi-Yau
riemann manifold — curved space in differential geometry where distances and angles are well-defined, foundational to einstein's general relativity
calabi-yau manifold — 6-dimensional shape in string theory with special geometric properties, predicts 10 dimensions of space-time
grassmannian manifold — space of all k-dimensional linear subspaces of n-dimensional space, used in computer vision and algebraic geometry