Department of Mathematics and Systems Analysis

Crystal Flowers in Halls of Mirrors



Robin Landsdorff, Rasmus Ruohola, Sara Saukkonen, Riikka Schroderus

MÖB&IUS

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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