Self anamorphic curves

Andrew Crompton, Frank Brown

Research output: Contribution to journalArticlepeer-review

Abstract

A curve is called self-anamorphic if it is the same shape as its reflection in a curved mirror except for rotation and rescaling. We show here that self-anamorphic curves exist for images seen in conical mirrors viewed from above. This is perhaps surprising because reflections seen in cones are typically so deformed that they have been used in the past to reveal images concealed in anamorphic art. Fourier analysis is used to find a general solution for self-anamorphic curves and four examples are illustrated. One of them is the familiar heart shape. Its unexpected appearance where it seems not to belong is reminiscent of the unexpected appearance of lifelike forms in the style of design known to art historians as the Grotesque
Original languageEnglish
Pages (from-to)69
Number of pages76
JournalJournal of Mathematics and the Arts
Volume2
Issue number4
Publication statusPublished - Jun 2008

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