Sometimes there's a dominant structure turning out too strong. Try burying it in a noise colored Flokati. Nevermind that the wool will find its way all over the place.

Pure as knitted by my old friend .

Sometimes there's a dominant structure turning out too strong. Try burying it in a noise colored Flokati. Nevermind that the wool will find its way all over the place.

Pure as knitted by my old friend .

the solar system is mostly dull, pastel colors. Earth is by far the most vibrant among them.

lecturing / german language Show more

lecturing / german language Show more

Astronomers Count all the Photons in the Universe. Spoiler Alert: 4,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 Photons #astronomy #news

of course, the nanomb2 algorithm (aka "super series approximation") does work sometimes, and when it does it is often much faster than the older series approximation algorithm, which in turn is much faster than perturbation iterations alone, which in turn is much faster than using plain iteration with high precision numbers for each pixel

the algorithm works by approximating the orbit near a periodic cycle (usually a minibrot island) by a polynomial in *two* variables representing small changes in C and Z. you end up with a polynomial that does P iterations at once (a "super iteration"), where P is the period of the cycle.

this polynomial is only valid while dC and dZ are small, but when they get big you can switch to a different polynomial corresponding to a nearby less zoomed in minibrot of lower period. one "super-iteration" takes longer than one perturbation iteration or one plain iteration, but you need far fewer, so it works out faster.

combined with interior checking, you can set the iteration count exceedingly high (100100100 is routine for me now) with little-to-no slowdown, and get super-crisp minibrot boundaries

#fractals #mandelbrot #math #maths

I wanted stripes, but it's difficult to obtain a striped palette by pressing "p" in XaoS. So I went for binary decomposition. Fading from black&white via gray to white&black is what this picture aims to show off. It yields a kind of 3d look.

made wielding

And I like to mock Mandelbrot experts by posting examples like this bad pun questioning period doubling wisdom:

Or this illusive "Mandelbrot with holes" featuring unexpected shapes made of pure trickery and vileness:

It's December again, so I allow myself to spend time finding pictures of the Mandelbrot set. Here's a beautiful example I posted to diaspora:

This one is about as big as it can get. If you try and pull apart empty space further than that, the microcosm inside will quickly snap back to mu set shape, after which the gap closes quickly with a hiss and emitting lo-fi phonons. They aren't stable, and this one will persist for roughly five years, and collapse on... Friday, April 7th... around 21:43 UTC... and nine seconds.

descartes :descartes: duchatelet :duchatelet: euler :euler: fibonacci :fibonacci: gauss :gauss: germain :germain: hilbert :hilbert: hopper :hopper: kovalevskaya :kovalevskaya: leibniz :leibniz: lovelace :lovelace: newton :newton: noether :noether: pythagoras :pythagoras: ramanujan :ramanujan: turing :turing:

:hilbert: "a mathematical problem … should be to us a guide post on the mazy paths to hidden truths, and ultimately a reminder of our pleasure in the successful solution."

The State Court of Berlin has ordered the German-language Wikipedia to remove claims linking CS prof Alex Waibel to US intelligence. "Whether the claims were justified or not was not taken into account by the court" — instead it seems the court disagrees with Wikipedia's policy of repeating claims from published sources, and insists that potentially-harmful claims can only be published by people who have researched them directly. (in German), via

@11011110 direct thanks to our glorious benefactor @ColinTheMathmo, who funds the whole operation

@christianp Whatever it was, thanks for all your efforts not only in bringing it back up this time, but for providing and maintaining this service more generally!

Together with crashed Fritzboxes, systemd has been dominating this year's sysop support requests by a large margin.

I'm still learning how to permanently sabotage systemd, but I have found out that you can simply buy and hook up a dsl modem in spite of your provider's claims that only a fritz box will work!

rm -rf /lib/systemd/
touch /lib/systemd
chmod 000 /lib/systemd

Here we go once more. Debian just tried again to force systemd onto my box. It is about the shittiest piece of software I have seen. It cannot even keep its own shit together, has memory leaks, security issues galore, and crashes regularily. Band aid:

rm -rf /lib/systemd
apt-mark hold systemd

After power cycling it's already much better. Now get networking up without init:


apt-get install runit-init
cp /sbin/init /sbin/runit-init


What do you mean "there will be no whirled peas", @universetoday? Where's the fun in that?


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