“The Sudanese Mobius Band” by Asimov and Lerner

  • ©Dan Asimov and Doug Lerner


Conference:


SIGGRAPH Video Review:


Track:


    06

Title:


    The Sudanese Mobius Band

Director(s):


Company / Institution / Agency:


  • University of California, Berkeley

Description:


    The surface depicted is the most symmetrical Mobius band possible, and it lives in 4-D space. To view it, it is first projected into 3-space, where it extends infinitely far, and has a perfectly circular edge.

Hardware:


    HARDWARE: Cray 1, Dicomed film recorder, Oxberry
    optical printer

Software:


    SOFTWARE DEVELOPER: FORTRAN rendering software was designed and
    implemented by Dan Asimov and Doug Lerner


Additional Contributors:


    Music: Simon Saiz
    Opticals: John Blunden
    Mentor: Nelson Max
    Produced at: Lawrence Livermore National Laboratory, Livermore, California 1984


Additional Information:


    Format: 1:00; 16mm; sound

    Technical notes:
    The surface is implicitly defined by two equations,
    w (x2 – y2) = 2 xyz
    x2 + y2 + z2 + w2 = 1
    plus the inequality,
    (x2 – y2) z > 0.
    This is stereographically projected to 3-space
    (ignoring the point at infinity).

Animation / Video Overview:


Type: