SHAPESHIFTER: An interactive program for experimenting with complex-plane transformations

  • Authors:
  • Harry R. Lewis

  • Affiliations:
  • -

  • Venue:
  • ACM '68 Proceedings of the 1968 23rd ACM national conference
  • Year:
  • 1968

Quantified Score

Hi-index 0.00

Visualization

Abstract

SHAPESHIFTER shows graphically the effects of various transformations applied to a set of points in the complex plane. The user prints in his own handwriting a formula or series of formulas which serves as the real-time input to the program. By experimentally changing the transformation he can gain an understanding, difficult to achieve formally, of its general properties, the effects of parameters and signs, the location and nature of singular points, conformality, etc.