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(a,b) parameter space for the Brookes reaction-diffusion system, shown in the classic xmorphia style by having different values in different parts of the domain.
Note how the stripes form a rather small region on the border to the boring homogeneous domain; the dimples are even harder to find.
"Mandelbrot set" for the map zn+1=Mi(zn)2, where Mi(z) are three Möbius transforms cyclically applied after each other. The transforms are -1/z, (-0.43-i)/((3-.1i)z - i), (wz-i)/(iz+.3+.1*i) where w is used as the control parameter varying across the images. z starts from zero, and the location after 300 iterations derermines the color (angle determines hue, magnitude value).
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Source code of Matlab for a color-controlled robot . When you display a particular color to the webcam, the robot swings into action. To Buy click on www.roboshop.in/handmade-projects-w-tutorials/color-contr...
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Estas notas de clases presentan un acercamiento a la teorÃa y aplicación de técnicas de aproximación numérica. Aquà se encontraran fundamentos de análisis numérico, aplicación de métodos numéricos en la solución de problemas, y una programación en MATLAB de los métodos propuestos.
The movement of the "economic centre of gravity" across history.
The centre was calculated by taking the Maddison historical economy dataset and calculate the GDP-weighted average of the country locations (taken from the Nationmaster database). This point is located inside the Earth, so it was projected radially onto the surface and plotted.
See also www.aleph.se/andart/archives/2011/04/why_bayadaratskaya_b...
Section through the Mandelbrot-Julia set, defined as the points (z,c) in C^2 where z_{n+1}=z_n^2+c does not diverge for z_0=z. This section corresponds to real c. The color denotes the magnitude of the smallest iterate.
Note the soft flat face, corresponding to the Julia set c=0.25 which suffers an implosion when c is increased, turning into rays of Fatou dust.
Building infrastructure outside the embankment area.
Matlab, Bangladesh.
Photo credit: Alex Fischer/REACH
If you use one of our photos, please credit it accordingly and let us know. You can reach us via Flickr or at reach@water.ox.ac.uk
Section through the Mandelbrot-Julia set, defined as the points (z,c) in C^2 where z_{n+1}=z_n^2+c does not diverge for z_0=z. This section corresponds to c=0.4*i+a real number. The color denotes the magnitude of the smallest iterate.
A brick factory worker stands beside a hanging latrine above a river in rural Matlab, Bangladesh. The use of such latrines contaminates waterways used for bathing and collecting drinking water with diarrhoeal diseases.
Photo: Guy Collender
Date: 2011
Watch Dr Sirajul Islam, of ICDDR,B, talk about the problems of hanging latrines in SHARE's video on Bangladesh: www.youtube.com/user/SHAREResearch#p/a/u/0/thHRIyxj3jI
Section through the Mandelbrot-Julia set, defined as the points (z,c) in C^2 where z_{n+1}=z_n^2+c does not diverge for z_0=z. This section corresponds to z_0=0.4*i+a real number. The color denotes the magnitude of the smallest iterate.
Swedish Ambassador to Bangladesh H E Charlotta Schlyter, Ms Carin Zetterlund, First Secretary/Deputy Head of Development Section and Ms Lena Nordström, Head of Staff MoFA visited icddr,b’s Matlab field site - one of the developing world’s richest, most comprehensive and longest-running data resources.
The guests visited icddr,b health and demographic data collection facilities, ongoing studies in the villages, the Matlab hospital, especially providing services for women and children and a mother care unit.
The guests also took a boat ride to Matlab, using the same route once taken by hundreds of thousands of cholera patients from remote areas to reach icddr,b’s floating hospital on a barge, which now remains parked at Matlab, bearing witness to the history of humanitarian efforts. Photos: Rabiul Hasan / icddr,b
Resembling a woven blanket, this image is the MATLAB-generated visualization of 16,384 different experiments (each represented by a row) with 84 separate parameters (each represented by a column).
Terms of Use: Our images are freely and publicly available for use with the credit line, "Courtesy of Pacific Northwest National Laboratory." Please use provided caption information for use in appropriate context.
"Mandelbrot set" of the map zn+1=M(zn) where M(z) = (exp(.3*i+.5)z + w)/(exp(i*3.3-.3)z + exp(.3*i)), a simple Möbius transformation. The color of the pixels denote where in the complex plane zero ends up.
The fact that the usual Mandelbrot set shows up is not too odd - the map does involve a translation and a squaring. But changing M to other Möbius transforms warp it to all sorts of other fractals.
Here I color the Mandelbrot set based on the orbit of the points: each step adds red if it has negative real part, green if it has positive imaginary part and blue if it is outside the circle |z|=2/3. Each iteration contributes exponentially less, resulting in a color mixture.
It nicely fills in the "aura" close to the set.
Output from a simple life extension model described here. Blue curve is cohort life expectancy for children born that year, green is mean age of death that year, red curves denote the ability of medicine to slow ageing damage.
An experiment in coupled "reaction-diffusion systems" (actually, using a mexican hat convolution more akin to field models of neural activity in the cortex). There are two variables with sigmoidal transfer functions, and an adaptation variable that causes the pattern to shift.
Point set generated by inversions in a group of spheres located at the corners of a cube with side = 1.5.