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Fatboy Slim & Riva Star - Eat Sleep Rave Repeat (Calvin Harris Remix) by Calvinharris

— 8 months ago
backwardinduction:

In topology, the trefoil knot is the simplest example of a nontrivial knot. The trefoil can be obtained by joining together the two loose ends of a common overhand knot, resulting in a knotted loop. As the simplest knot, the trefoil is fundamental to the study of mathematical knot theory, which has diverse applications in topology, geometry, physics, and chemistry.
The trefoil knot is named after the three-leaf clover (or trefoil) plant.
(http://en.wikipedia.org/wiki/Trefoil_knot)

backwardinduction:

In topology, the trefoil knot is the simplest example of a nontrivial knot. The trefoil can be obtained by joining together the two loose ends of a common overhand knot, resulting in a knotted loop. As the simplest knot, the trefoil is fundamental to the study of mathematical knot theory, which has diverse applications in topologygeometryphysics, and chemistry.

The trefoil knot is named after the three-leaf clover (or trefoil) plant.

(http://en.wikipedia.org/wiki/Trefoil_knot)

(via visualizingmath)

— 11 months ago with 136 notes

twocubes:

So, the euler spiral! It’s the big one at the top. It’s traced out by the parametric equations written under it.

I thought something interesting would happen if I replaced the cosine and the sine with the derivatives of the parameterizations of various other curves, and then this happened.

(via visualizingmath)

— 11 months ago with 2164 notes
mathisbeauty:

elegantly constructed proofs through visual inspection

mathisbeauty:

elegantly constructed proofs through visual inspection

— 11 months ago with 788 notes

centerofmath:

Mobius Strip Building Brings Loops And Bling To Taiwan

What a great reminder of the elegance and beauty of math!


“Vincent Callebaut Architectures Mobius strips hover somewhere in between 2D and 3D, creating an infinite surface in the process. While the idea of Mobius strip architecture has been tackled before, perhaps no scheme has been so ambitious as Vincent Callebaut’s “Swallow’s Nest,” a proposed arts and literature center for the Taiwanese city of Taichung. Composed of a series of isosceles triangles gradually rotated around an ellipse, the building creates a dramatic division between interior and exterior while allowing the integration of public space into the center of the building by means of “the Infinite Patio.” The twisting of the structure also allows for three large vaulted spaces for the display of art objects.”

Read more of this article here!

(via visualizingmath)

— 11 months ago with 809 notes
visualizingmath:

Submitted by Ambitious-drawings: Recursive Tree in Sine Motion by Gerhard Funk. Code.

visualizingmath:

Submitted by Ambitious-drawings: Recursive Tree in Sine Motion by Gerhard Funk. Code.

— 11 months ago with 288 notes