File:3-orbifold-voronoi-animated.gif
Summary
Animated slices of the three-dimensional orbifold T^3 / S_3. Slices of cubes standing on end (with their long diagonals perpendicular to the plane of the image) form colored Voronoi regions (colored by chord type) which represent the three note chords at their centers, with augmented chords at the very center, surrounded by major and minor triads (lime green and navy blue). The white regions are degenerate trichords (one-note repeated three time), with the three lines (representing two note chords) connecting their centers forming the walls of the twisted triangular prism, 2D planes perpendicular to plane of the image acting as mirrors
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 14:50, 8 January 2017 | | 800 × 800 (1.69 MB) | 127.0.0.1 (talk) | Animated slices of the three-dimensional orbifold T^3 / S_3. Slices of cubes standing on end (with their long diagonals perpendicular to the plane of the image) form colored Voronoi regions (colored by chord type) which represent the three note chords at their centers, with augmented chords at the very center, surrounded by major and minor triads (lime green and navy blue). The white regions are degenerate trichords (one-note repeated three time), with the three lines (representing two note chords) connecting their centers forming the walls of the twisted triangular prism, 2D planes perpendicular to plane of the image acting as mirrors |
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