Imperfect Congruence - It is a curious fact that no edge-to-edge regular polygon tiling of the plane can include a pentagon ... This website explains the basic mathematics of a particular class of tilings of the plane, those involving regular polygons such as triangles or hexagons. As will be shown, certain combinations of regular polygons cannot be extended to a full tiling of the plane without involving additional shapes, such as rhombs. The site contains some commentary on Renaissance research on this subject carried out by two renowned figures, the mathematician-astronomer Johannes Kepler and the artist Albrecht Dürer. [more inside]
92 Gears is a lovely, hypnotic animated GIF. Ball Bearings in a Hypersphere is a mathematical discussion of its generalizations.
Making Of The Bear and The Hare - For the John Lewis Christmas advert Hornet/Blinkink directors Elliot Dear and Yves Geleyn took the two most traditional and time-honored animation processes – stop-motion and traditional hand-drawn 2D animation – and combined them to create something innovative and unique.
Pony Creator - create ponies (in the My Little Pony:Friendship is Magic style). [Flash]
Beaded Polyhedra ❂ More beadwork (mathematical and otherwise) by Gwen Fisher ❂ Still more beadwork galleries at beAdinfinitum ❂ Three-dimensional finite point groups and the symmetry of beaded beads [pdf - some algebra, but lots of illustrations]
Plus magazine has compiled all their articles on mathematics and the arts into one handy-dandy page full of highly enjoyable articles ranging from limericks and screeching violins to the restoration of frescoes.
Visual Aesthetics in Early Computing (1950-80) - a little look back at plotters and light pens and flow charts, which I found a bit nostalgic. You can watch Lapis, Permutations and Arabesque on YouTube.
Some lesser-known superheroes and their stories.
Skelewags - drawings from a delightful Burtonish/Goreyesque world, including some skewed takes on Carroll's Alice.
Art Deliverance - Alex Klochkov's gallery of abandonment from the Soviet Union. There's next to no explanation of the photos, unfortunately. Indirectly via Retrospectacle's post about the brain lab.
FillCell is a sort of graffiti wall of mini-posters drawn with very simple tools (to impressive effect, in some cases). Flash - drag the background to see more of the wall.
basik.ru (seen previously) is a vast photo- and art-blog - so vast it can be a little overwhelming, so here are some places to dive in: 3D baked goods, food sculptures, sprouting keyboards and books, bookish figures, more wire warriors, surreal prints and photoshoppery, miniature architecture, wall-painting architecture, facial archetypes from the Soviet Union, a grotesque alphabet book and other freakish critters, old bicycle cards, a porcelain zodiac set, a bridge to nowhere, итд, итд, итд...
Biro-art - fantastic ballpoint drawings.
Sphere and circle arrangements, the Droste effect, and more: mathematical imagery by Jos Leys. The Droste effect article is informative, too.
Caligraft - computational calligraphy.
Rock art tour in the Sahara.
Painted beehive panels (accompanying article here) from the Museum of Apiculture [virtual tour, flash] in Radovljica, Slovenia.
Balance of Contradictions and Flawless Imperfection (caution: slow-loading images in the latter), two galleries of Ukrainian surrealist Sergey Poyarkov, whose name I stumbled across via this amusingly Ukraine-centric map.
Watercolor landscapes of Poland, Slovakia, Ukraine, and Hungary by Thomas Ender (1793-1875). The main frame for each painting allows you to open a large view, or read about the region depicted.