Svetlana Nikolova

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Moving hyperbolic tilling

Moving hyperbolic tilling.<p>Finally I managed to make it:) In the end I used Moebius transformations to make it move.

5 Simple Math Problems No One Can Solve

Easy to understand, supremely difficult to prove.<p>Mathematics can get pretty complicated. Fortunately, not all math problems need to be inscrutable. Here are five current problems in the field of mathematics that anyone can understand, but nobody has been able to solve.



<b>Harmonographs</b><p>A harmonograph is a mechanical device consisting of two or more pendulums attached to a pen. The swinging pendulums control the motion of the pen, tracing out a geometric pattern on a sheet of paper.<p>Since the system is damped by friction, the pattern spirals in on itself as time progresses.<p>Each of the GIFs above simulate the output of a 4-pendulum system (modeled after a harmonograph as configured in this video). The different outputs are generated by using different pendulum …

Golden ratio dream. Related: Square, Fractal.



<b>fractal flames</b><p>you should REALLY check out Tomasz Sulej’s excellent tutorial about ‘Variations’. all I have done here for now is turn his examples into GIFs.<p>and check out his gorgeous Tumblr as well: @folds2d

As the disk sector is being completed, the centroid spirals into the center

As the disk sector is being completed, the centroid spirals into the center.

Logarithms, explained.

<b>Logarithms explained in one handy gif.</b><p><b>Logarithms explained in a two-handed gif.</b><p>From the TED-Ed Lesson Logarithms, explained - Steve Kelly


However, it does not preserve elements of the models.<p>We <i>do</i> have a type of function that does preserve elements, a bijection.<p>We also want a slightly stronger version of the homomorphism, where things are related in one <i>if and only if</i> they are related in the other.<p>We call a bijective homomorphism an <b>isomorphism</b><p>In a sense, this allows a much more natural way of saying two things have the “same” structure.<p>Since all statements about a structure are preserved under isomorphism, we can prove statements …

Sesame Street and Philip Glass: Geometry of Circles (1979)

Performed by Stephen Malinowski and accompanied by his Music Animation Machine classical music visualizations, enjoy Frédéric Chopin's Etude, opus 25 …


just some right angles, moving back and forth and stuff

The hypnotic, kinetic wind sculptures of Anthony Howe

Kinetic sculptor Anthony Howe creates abstract, organic sculptures from various metals and polymers. He is based in Eastsound, Washington state.<p>For …

The Heartland’s best hits: top Kansas sights along I-70

This is the stuff road trips through Middle America are made of: slurping milkshakes at a Formica countertop in a diner that hasn’t changed since 1950, cruising by fields of sunflowers and amber waves of grain that stretch as far as the eye can see, and stopping at the quirky, always-superlative …

Allen Fieldhouse

Zhelyu Zhelev, Bulgarian president - obituary

Bulgaria’s first democratically elected president who laid the groundwork for his country’s entry into the EU<p>Zhelyu Zhelev, who has died aged 79, was a former anti-communist dissident who became the first democratically elected president of Bulgaria and led his country from 1990 to 1997.<p>Zhelev’s …

RBS could write down value of US bank Citizens by some £4bn

The Royal Bank of Scotland could write down the value of its US bank – Citizens – by about £4bn next week, potentially erasing much of the UK …