Matemáticas Visibles
Submitted by Aubin Arroyo on
Matemáticas Visibles
Users
Note Compass
Why is the music scale irregular? Why are there black and white keys in the piano, distributed in such a peculiar pattern? Why do we have a scale with tones and semitones? And more deeply, how notes are grouped into families, and what role do they play within such families?
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The Harmonic Series #3 - 3D display
Sing into the microphone and move the synthesizer sliders to hear and see shifting chords.
The Harmonic Series #1 - Laser
Submitted by IMAGINARY on
Two notes can sound pleasant or jarring -consonant or dissonant - and everything in between. Sing with a friend and see how you sound.
Earth Day 2019
Submitted by Jeffrey Ventrella on
A pentagonal geodesic animation based on the golden mean
KnotPortal
A VR software to explore knots through portals
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Geometry and Imagination Exhibition Video – ICM2018
Submitted by Humberto José B... on
This video was part of the exhibition “Geometry and Imagination: Patterns in Nature and Culture” presented during ICM 2018.
Journeys of Women in Mathematics
Submitted by International M... on
World Women in Mathematics : successes and barriers for women in mathematics from an international perspective, told in the words of the women themselves.
Bach Mass B Minor Canon
Submitted by Ulrich Seidel on
J. S. Bach probably is one of the composers with most affinity to mathematics. He developed the art of fugue in a programmatic way in his work “The Art of Fugue”. So he used all kinds of techniques that are characteristic for composing fugues and canons. Canons are a special case of fugues. In the most strictest form they consist of just one melody that starts to different times in at least two voices. The canon melody repeats several times in a loop, at least one time for each voice. There are many ways to vary the melody with transformations that are well known from geometry: translation (transposition), rotation, scaling, mirror transformations. Bach liked composing canons and fugues so much that he used this technique even implicit. His great mass in B Minor ends with the Dona nobis pacem, where a canon melody is varied and hard to discover. The animation shows how the canon is constructed and a little excerpt of the beginning and the end of that movement.
Related Plane-filling Curves
Submitted by Jeffrey Ventrella on
This picture shows three plane-filling curves of the Eisenstein 3 family (on the left) along with three related curves of the Eisenstein 9 family (on the right).