Dragon Fold and other ways to fill space

Duration: 0:07:00

Year Published: 1968

Creator: Bruce and Katharine Cornwell | Cornwell Bruce and Catherine | International Film Bureau

Format: 16mm

Color: Color

Sound: sound

Description: Solves the dilemma of filling a space with a single, simple curve that includes every point in space, is constructed in a single unit of time, and moves from generation to generation in one ordered step. Uses computer animation to illustrate inefficiency of filling space with a tessellation of crosses. Proceeds to fill space with replication of squares. Demonstrates how manipulation of Sierpinski Curves and Dragon Curves can produce a curve that includes every point in space. Uses captions instead of narration to introduce different portions of the film. Accompanies the visuals with contemporary music. , The concept of a single closed curve which is the locus of a point that touches every point in a unit area is shown in the Dragon Fold curve and in the Sierpinski curve. Helps develop an intuitive feeling for the infinity of space.

Complete Record: , Solves the dilemma of filling a space with a single, simple curve that includes every point in space, is constructed in a single unit of time, and moves from generation to generation in one ordered step. Uses computer animation to illustrate inefficiency of filling space with a tessellation of crosses. Proceeds to fill space with replication of squares. Demonstrates how manipulation of Sierpinski Curves and Dragon Curves can produce a curve that includes every point in space. Uses captions instead of narration to introduce different portions of the film. Accompanies the visuals with contemporary music., The concept of a single closed curve which is the locus of a point that touches every point in a unit area is shown in the Dragon Fold curve and in the Sierpinski curve. Helps develop an intuitive feeling for the infinity of space.NOTE: Two (or more) records have been merged together to create this data.