Dragon Fold and other ways to fill space
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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 catalog 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.
Sources
- 16mm Filmography (legacy record) — title, year, creator, length, format, color, sound, description, catalog record
Original permalink · Record added 2024-04-20 16:25:55