Printing by Rolling Möbius Band Stencils: Glide Reflection Embodied in Physical Action

Simon Morgan
Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (2013)
Pages 603–610 Workshop Papers


This hands-on workshop involves making ordinary untwisted band stencils and Möbius band stencils. Then it explores printing patterns with them by rolling them out. The two types of pattern are compared for symmetry and isometric transformation properties of translation and glide reflection. The materials and activities have been selected for low cost and ease of use to enable the activity’s transfer to a range of classroom settings in art and or mathematics. Interlocking tiles extend these frieze patterns to ones with rotations and to rosette patterns.