Asymmetry vs. Symmetry in a New Class of Space-Filling Curves

Douglas M. McKenna
Bridges London: Mathematics, Music, Art, Architecture, Culture (2006)
Pages 371–378


A novel Peano curve construction technique shows how the self-referential interplay between symmetry and asymmetry based on the translation, rotation, scaling, and mirroring of a single angled line segment that traverses a square evinces rich visual beauty and optical intrigue.