Ethan Hein

Music, technology, evolution, pop ephemera.

Posts tagged topology

Sep 28
Half-steps on the circle of fifths, fifths on the circle of half-steps on Flickr.

Half-steps on the circle of fifths, fifths on the circle of half-steps on Flickr.
Posted at 1:44 PM 7 notes Tagged: musictheorysymmetrymathharmonydualitynetworksethanheinchiralityvisualizationgeometryconsiliencetopologyecstaticrationalismomnigrafflemusicdiagramflowchartstypographyresonance

Sep 17

isomorphismes:

More drawings by Robert Ghrist. Point-set topology, differential topology, geometric topology, symplectic topology, algebraic topology illustrated. From his (free) notes on applied homology.

GLOSSARY

  • Topology = connections between things.
  • Manifolds come in a wide variety of shapes, but they’re all tame.
  • Vector fields = arrows on a manifold.
  • Differential = linear approximation.
  • Symplectic = isotropic + antisymmetric + bilinear. (erm, not as complicated as it sounds)
  • Phase Space means these things can be conceptual rather than literal.

(via isomorphismes)
Posted at 4:41 PM 82 notes Tagged: topologyhomologydifferential geometrymathematicsRobert Ghrist
Source: math.upenn.edu