Neon Pi

Mathematical Randomness

[tobiasmar-deactivated20121011]

[theautologicalmetaphor]

[numberrr-blog]

Sierpinski triangle

[fuckyeahfluiddynamics]

[the-rx]

These images from a numerical simulation of a mixing layer between fluids of different density show the development and breakdown to Kelvin-Helmholtz waves.  The black fluid is 3 times denser than the white fluid, and, as the two layers shear past one another, billow-like waves form (Fig 1(a)). Inside those billows, secondary and even tertiary billows form (Fig 1(a) and (b)).  Fig 1 (c)-(e) show successive closeups on these waves, showing their beautiful fractal-like structure. (Photo credit: J. Fontane et al, 2008 Gallery of Fluid Motion) #

[un]

O_O

[unironicenthusiast]

It is magic until you understand it; and it is mathematics thereafter.

Bharati Krishna Tirthaji (via mathstalio)

[aevz]

Jason Davies

[midcenturia-blog]

Meyer Tennenbaum, Color Abstract No.6, 1970

[geometrydaily]

#200 Ripples – Two-hundred pieces and we are all still here, unbelievable – A new minimal geometric composition each day

[mathhombre]

Logarithmic Spirals, continued

Now with optionalAngle Control. I also fixed a lot of the issues with the other one not working well for any number of radians.

Teacher page (can download) and student page (in browser applet) on GeoGebraTube.

[noahsmirror-deactivated20170720]

“Sendoff” by Allen Taylor

[inthismomentifeelalive]

Inspired by my favorite representation of infinity: the Apollonian Gasket. 

[mathhombre]

Logarithmic Spirals

Made a GeoGebra sketch for a last fun activity for exponential/logarithms unit in my algebra class.

It’s a classic construction that goes back at least to Descartes and Bernoulli. Bernoulli asked for one of these on his gravestone and the carver messed it up!

On GeoGebraTube: teacher and student.

[zzzzzz7-deactivated20131122]

[dagothar]

[themathkid]

What.

[infinity-imagined]

[imaginaryelliy]

[neonpi-blog]

What is the nature of numbers? What do numbers mean? How can numbers exist? How can anything besides the number one exist? Everything is a multiple of one thing, but slicing one thing in half gives you two, two of one, and there is always still a one, nothing else but “two”…

[expose-the-light]

[numberrr-blog]

Soap bubbles are physical illustrations of the complex mathematical problem of minimal surface. They will assume the shape of least surface area possible containing a given volume. A true minimal surface is more properly illustrated by a soap film, which has equal pressure on inside as outside, hence is a surface with zero mean curvature. A soap bubble is a closed soap film: due to the difference in outside and inside pressure, it is a surface of constant mean curvature.

[oplik]