Department of Mathematics and Systems Analysis

Crystal Flowers in Halls of Mirrors

Robin Landsdorff, Rasmus Ruohola, Sara Saukkonen, Riikka Schroderus


Our project work consists of two separate steel and wood structures which together create a Möbius strip. We wanted to explore the possibilities of illusions and try to give the spectator a feeling of surprise and enlightening realization. Our work has two main features: anamorphosis and the Möbius strip itself.

The Möbius strip is a model example of a non-orientable surface. If embedded in Euclidean space this topological phenomenon is seen as one-sidedness. The Möbius strip has only one boundary component which is homeomorphic to a circle. The Euler characteristic V-E+F of a Möbius strip is zero.

Anamorphosis is a term used for a phenomenon where an object or image requires a specific view point or device to be properly seen. Here, it is created by cutting the Möbius strip in two pieces with suitable scaling so that a certain view point gives the illusion of one whole Möbius strip. When viewed from another location the pieces are just separate objects, independent from another.

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