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Zooms of the Mandelbrot set around a point projected so that the distance to the point forms a logarithmic scale. Details on the left edge are ~10^15 times smaller than on the right edge.
The rightmost black blob in the pictures is the main "continent" of the set. Satelite sets of different sizes can be seen linked by fractal chains of varying complexity.
The colors are set using the distance estimator method.
Photo credit: Emily Barbour/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
The Mandelbrot set-equivalent for the Crocus fractals. Produced by iterating z=(1/2)^(1/3) with cz/(1+z^3) for 100 iterations. Hue designates angle, color magnitude. The domain is from -2-2i to 2+2i.
For more details, see www.aleph.se/andart/archives/2007/03/crocus_fractals.html
Zoom of the Mandelbrot set around a point projected so that the distance to the point forms a logarithmic scale. Details on the left edge are ~10^15 times smaller than on the right edge.
The rightmost black blob in the pictures is the main "continent" of the set. Satelite sets of different sizes can be seen linked by fractal chains of varying complexity.
The colors are set using the distance estimator method.
I'm planning to buy my first house soon. Since I'm not yet invested in real estate, I've been looking for the right time to enter the market. I know that trying to time the market is a fool's game, but I am that fool.
The most relevant data I've been able to locate is the S&P/Case-Shiller Home Price Indices. It is calculated by comparing the selling price of homes in a given metro area in a given month against previous selling prices for the same property. There are lots of other numbers you could track (housing starts, current inventory levels, asking prices, etc.), but this is where the rubber meets the road. It reflects what prices homes are actually fetching in a given area at a given time.
Home prices have a natural seasonality in Boston, rising in the spring and falling in the fall, so I've been focusing on year-on-year changes. I designed this plot to make it easy to compare this change. Each year is a line. If you cut the plot out of the page and glued the left to the right edge, the cylinder would be a continuous line changing color at the start of each year.
The most interesting events for me are when the lines cross. They represent points in time where house prices are the same from one year to the next. That happened in Boston in April 2006, as the market began to cool. For nearly four years after that, the average home in Boston was worth less than it was a year before. This free fall came to an end in December 2009, when finally the lines crossed again and the market held its value.
January's numbers came in today and again the year-on-year values are in the black. The index is down compared to December, though. We're not out of the woods yet, but we may be at the beginning of the recovery.
Crossposted to Matthew J. Simoneau's Weblog, Facebook, and Twitter.
Simple estimation of "desirability" of locations as the sum of factors (each normalized to be in [0,1]) corresponding to level of precipitation, deviation from 15 degrees temperature, closeness to the sea and local economy. The most desirale location was Tokyo. Other high-scoring places were California, Chile, south Australia, Osaka, Paris and the Namibian coast.
Solar Transit of Venus, 2012
I'm finally getting my shots of the transit of Venus together as a video. I had a bit of trouble with the set of photos. I wasn't as prepared as I would have liked to have been. The day of the transit started off cloudy, so I didn't bother getting ready, and then the clouds parted. I ran out with the ED80 telescope and a simple alt-az mount, and started snapping photos. It didn't take me long to realize that I was going to have problems tracking the entire transit with the alt-az mount, so I ran back inside and grabbed the EQ5 polar mount. After a quick (and very rough) polar alignment, I swapped mounts. That's what caused the field rotation you see about half way through the video. Luckily, the clouds mostly stayed away during the transit. The video cuts off before the end of the transit; I could have shot a bit more, but I setup too close to the house, and didn't think about the chimney getting in the way (that's the chimney that cuts off the final shot).
Once I had the sequence of photos, I didn't at first think they would make much of a video. Since I started with a non-motorized alt-az mount (and tracked by hand), and then switched to a poorly-polar-aligned polar mount, the solar disk moved quite a bit from shot to shot. My first approach was to try to align the frames in Photoshop, but I gave up after I realized that was going to take forever. My second stab at making a video started with an attempt to align the shots by cross-correlation, which I quickly coded up in Matlab. But, since the entire disk is not visible in each shot, the cross-correlation did a very poor job of aligning the shots. I tried edge-finding with cross-correlation, but that wasn't much better. I then thought about using a feature-locator algorithm (like SIFT) to find points to align the images, but didn't pursue that approach since the few features to track weren't visible in all frames. Finally, I hit on the idea of using a Hough circle finding algorithm. That worked very well, but was horribly slow (my Matlab implementation was a little rough). After letting the Hough alignment run over night, I had the stack of aligned frames that I assembled into this video.
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.
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Some of the pictures in my "My Images" folder, plotted based on standard deviation of red and blue level.
I placed three images of Sir Isaac Newton close to the three roots of Z^3-1=0 and ran Newton's method in the complex plane, coloring the initial points after the color of the first image pixel they ended up in (plus some darkening based on the number of iterations).
Love, horticulture and Matlab were just a few of the topics illuminated in 11,000 donated books strewn over an 8,000 square foot stretch of E. Liberty St. in Ann Arbor, MI on October 23, 2018.
Devised by Spanish art collective Luzinterruptus and brought to Michigan by the U-M Institute for the Humanities, the glowing installation offered Ann Arborites a central place to gather and share in their appreciation for the written word. As the sky became black, the piece turned interactive, inviting onlookers to take from the collection, adding to their own.
Photo: Evan Dougherty/University of Michigan Engineering
Air is horrible secondary to innumerable brick kilns in the area, but it makes for pleasant sunsets.
Pork-chop plot showing total delta-v needed for moving from Ceres to Extropia.
It does not make use of Oberth maneuvers or multiple orbits around the sun, so these values are a bit higher than they would be in a real mission. Given that these are intended for use in a roleplaying game, that is probably enough precision anyway.
HIGS offers MATLAB, JAVA, Python, Simulink, NS2 project implementation software. We provide the best PhD research help and image processing projects in MATLAB.
Very rough estimation of the radiation dose/hour one meter away from a fuel array filled with spent light water reactor fuel as a function of time. The initial composition based on table 1 in aries.ucsd.edu/snowmass/SG-A/ans96-transmutation_paper.pdf
and the initial radioactivity by figure 1 in
www.osti.gov/bridge/servlets/purl/10137382-BSfGip/native/...
The green lines mark the acute effects after one hour exposure. I have added the contributions of various isotopes in blue, but not taken daughter products into account.
The roleplaying game 2300AD has a fairly elaborate planet generation system. This is the results of generating 10,000 planets in the inner, life and outer zones using the rules.
One of the surprises is the larger fraction of gas giants in the life zone compared to the outer zone. This occurs because they are more likely to get a heavy core than in the outer zone, where an ice core has a hard time getting enough gravity to attract a dense atmosphere.
I made a cut-off at 100,000 km diameter; the gas giants go all the way up to 500,000 km. That big giants would not actually have that radius, since the pressure would cause them to become denser. Their likely diameters are going to be Jupiter-like, around 133,000 km.
Zooms of the Mandelbrot set around a point projected so that the distance to the point forms a logarithmic scale. Details on the left edge are ~10^15 times smaller than on the right edge.
The rightmost black blob in the pictures is the main "continent" of the set. Satelite sets of different sizes can be seen linked by fractal chains of varying complexity.
The colors are set using the distance estimator method.
Different projections of Bucky Ball(truncated Icosahedron),Dodecahedron,Icosahedron and Rhombic Triacontahedon .First column is hyperbolic,second is original polyhedron,third column is spherical.What can I say about last column.
Generated in MATLAB.
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.
The Mammals, displayed using a further development of my Voronoi treemap code (now with nicer borders and more robust calculations). Each polygon represents a mammalian species or group of species, distributed inside larger groupings.
Plot of travel time as a function of delta V for a trajectory from Mercury to Venus. The colors denote different start dates (red late in the year).
Note that there is an asymptote to the left: below a certain delta V a ship cannot reach the destination. There are many possible low delta V trajectories, but they all take more than 30 days. Ships faster than ~150 km/s can begin to press this travel time, and beyond 900 km/s delta-V the trip can be made in a day.
Today I finally made progress with a GUI for ginger. A command window is for people like me who know the system inside and out and need to perform low-level functions.
The satellite windows visualize the different experiments being conducted in realtime and allow the users to draw the data from across a network if needed.
The code for the sattelite windows is easily adapted to fit any allspice node and run alongside the existing windows.
The whole thing is written in matlab using GUIDE. I know I know, its not fancy but at least its cross platform!
Learn more here uivast.com/project-ginger
Zoom of the Mandelbrot set around a point projected so that the distance to the point forms a logarithmic scale. Details on the left edge are ~10^15 times smaller than on the right edge.
The rightmost black blob in the pictures is the main "continent" of the set. Satelite sets of different sizes can be seen linked by fractal chains of varying complexity.
The colors are set using the distance estimator method.
Plot of travel time as a function of delta V for a trajectory from Mars to Extropia. The colors denote different start dates (red late in the year).
Note that there is an asymptote to the left: below a certain delta V a ship cannot reach the destination. The right end of the curve is due to lack of sampled trajectories with very high delta V, the actually curve continues indefinitely.
Pork-chop plot showing total delta-v needed for moving from Venus to Mercury.
It does not make use of Oberth maneuvers or multiple orbits around the sun, so these values are a bit higher than they would be in a real mission. Given that these are intended for use in a roleplaying game, that is probably enough precision anyway.
Pork-chop plot showing total delta-v needed for moving from Luna to Venus.
It does not make use of Oberth maneuvers or multiple orbits around the sun, so these values are a bit higher than they would be in a real mission. Given that these are intended for use in a roleplaying game, that is probably enough precision anyway.