Space Filling Curves

Synopsis

Presents two examples of space filling curves - continuous curves passing through every point in a square. The curves are constructed graphically as limit curves, using a computer animated sequence of approximation curves. Points on the approximation curves can be seen approaching the limit points. These concepts are first illustrated on easier examples, such as a circle and a snowflake curve of infinite length. The film gives a visual introduction to the idea of limits, as well as several examples useful in analysis and topology. Filmed on the IBM 360/67 computer with the Stromberg DatagraphiX 4060 Graphic Recorder.

Series

Topology Film Project, Series

Language

English

Country

United States

Medium

Film; Film. 16mm. sd. col. 26 min.

Technical information

Black-and-white / Sound

Year of production

1973

Availability

Hire

Uses

Final courses. Postgraduates.*

Subjects

Mathematics

Keywords

topology

Credits

Director

William Hansard

Producer

Nelson L Max

Distribution Formats

Type

Film

Format

16mm

Production Company

Name

USA

Sponsor

Name

USA

Distributor

Name

Higher Education Film & Video Library

Email

services@bufvc.ac.uk

Web

http://bufvc.ac. External site opens in new window

Phone

020 7393 1503

Fax

020 7393 1555

Address

c/o British Universities Film & Video Council
77 Wells Street
London
W1T 3QJ

Notes

Catalogue available from British Universities Film & Video Council.