The Dot and the Line: A Romance in Lower Mathematics 1965
Animated work detailing the unrequited love that a line has for a dot, and the heartbreak that results due to the dot's feelings for a lively squiggle.
Animated work detailing the unrequited love that a line has for a dot, and the heartbreak that results due to the dot's feelings for a lively squiggle.
A portrait of the visionary Dutch artist M. C. Escher (1898-1972), according to his own words, taken from his diary, his correspondence and the texts of his lectures.
Set in a world of only two dimensions inhabited by sentient geometric shapes, the story follows Arthur Square and his ever-curious granddaughter Hex. When a mysterious visitor arrives from Spaceland, Arthur and Hex must come to terms with the truth of the third dimension, risking dire consequences from the evil Circles that have ruled Flatland for a thousand years.
Flatland is a two-dimensional universe occupied by living geometric figures - squares, triangles, circles, etc. A Square, Attorney At Law, finds himself in the middle of two upheavals: the rise of martial law by the circular leadership of Flatland, and the arrival of A Sphere, CEO Of Messiah, Incorporated, a creature from a hitherto-unknown third dimensional world.
Until recently geometry was 'cold', incapable of describing the irregular shape of a cloud, the slope of a mountain or the beauty of the human body. With fractal geometry, Benoit Mandelbrot gave us a language for our natural world. In this captivating documentary, the man himself explains this groundbreaking discovery.
Nine chapters, two hours of maths, that take you gradually up to the fourth dimension. Mathematical vertigo guaranteed!
An experimental mathematics film designed to elucidate the study of four-line conics.
Considered to be artist Martin Blaszko's only incursion into film. Through the experimentation with various film techniques, the artist speaks of the laws of geometry which are an important part of his work, and other obsessions of his, such as, bipolarity, the monumental, and the city as a source of aesthetic emotion.
An experimental animation for "One of These Days" by Pink Floyd.
Tondo introduces the cosmic formalism that was the primary theme of Al Jarnow's independent films. An infinite gridscape alternates with vibrating etchings, spirograms and other surreal realities.
Shows how Jim and Bob use protractor and ruler to study such figures as rectangles, triangles and circles, and such principles as congruence, similarity and symmetry, in constructing a model porch.
The primary motif in this silent picture is a grid that controls the shapes and motions of forms contained within the framework of a rotating cube. Constructed from interlocking cycles, the film explores branches and loops along paths laid down by geometric logic.
Zdeněk Miler's animation short about geometrical shapes.
A filmed exercise that follows in the path of Rotating Cubic Grid and Cubits, the predictably titled Cube features cubes of varying shapes and size sliding around and growing into and out of one another, demonstrating how multiple parts can make up a whole.
Jarnow adapts an architectural grid catalogue of cubic rotations in order to explore a direct relationship between animation procedure and logical numerical operations. The film is as much the making of animation as it is a paper model of a computer. The cube sheet, upon which the film is based, is so constructed that a horizontal cubic rotation and a diagonal pan yields a diagonal rotation. Combinations of these primary moves result in more complex rotations throughout this awe inspiring film.
In what would become a familiar theme throughout his carrer, Jarnow explores the earth from above, invoking Buckminster Fuller's Dymaxion and the Gnomic map to illustrate different geometric and compromise projections.
Jarnow regularizes a child's primitive sketch of a house into increasingly firmer architecture, showing how the same place might by rendered by different hands. Objects twist and turn, a drawing resolving into a wall painting, as the perspective shifts, boxes within boxes, until the viewer is back outside
Toroid is an experimental audio-reactive animation work that demonstrates the possibilities of harnessing digital waveforms of electronic origin into a continual source of power. By making the invisible visible, the work bears similarity and inspiration from the extensive quantum energy research at CERN which seeks to uncover and control the particles in and around us. In this era of over-production and over-algorithmic data illusion of choices, Toroid inserts itself in the digital narrative as a power source simulation showing a possibility for ensuring a positive flow of eternal (renewable) energy working in parallel with the natural order.
Japan's first computer generated animation