Mamori

An exploration of the relationship between sound and picture inspired by the two lights (twi-light) found inside film projectors.

A horse goddess gives birth to three powerful brothers who set out into the Underworld to save three princesses from three evil dragons and reclaim their ancestors' lost kingdom.

The weird hand creatures undergo different transformations in synchrony with the music.

During the 1995 Summer Institute at The Geometry Center, a team of undergraduates, middle and high school mathematics teachers and Center staff developed curriculum materials supporting The Shape of Space video. The team developed a comprehensive curriculum, covering many areas related to the video. The following materials were selected for distribution based on their direct relevence to understanding the video itself.

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 live action footage of a smiling, bespectacled (presumably) Western tourist set against the familiar cadence of an accelerating train revving up as it leaves the station sets the mesmerizing tone for the film's abstract panoramic survey of an Ozu-esque Japanese landscape of electrical power lines, passing trains, railroad tracks, and the gentle slope of obliquely peaked, uniform rooflines as Breer distills the essential geometry of Mount Fuji into a collage of acute angles and converging (and bifurcating) lines .

A pioneer of visual music and electronic art, Mary Ellen Bute produced over a dozen short abstract animations between the 1930s and the 1950s. Set to classical music by the likes of Bach, Saint-Saëns, and Shoshtakovich, and replete with rapidly mutating geometries, Bute’s filmmaking is at once formally rigorous and energetically high-spirited, like a marriage of high modernism and Merrie Melodies. In the late 1940s, Lewis Jacobs observed that Bute’s films were “composed upon mathematical formulae depicting in ever-changing lights and shadows, growing lines and forms, deepening colors and tones, the tumbling, racing impressions evoked by the musical accompaniment.” Bute herself wrote that she sought to “bring to the eyes a combination of visual forms unfolding along with the thematic development and rhythmic cadences of music.”

A colourful "fountain performance".

Three memories that become one. An attempt to merge heterogeneous materials: a film sequence shot in Rome, a photo from the 1930s, a noisy soundtrack. Fragmented lines, exploding bass frequencies and flickering.

Flash projection from dutch visual artist Han Hoggerbrugge

In this video, children see how Tad and Lily use what they know about 2D shapes to learn about 3D shapes. Sharing food provides a meaningful context to introduce fractions as equal parts of a whole. Children also observe many different ways to measure things.