Droste effect

The woman holds an object bearing a smaller image of her holding the same object, which in turn bears a smaller image of her holding the same object, and so on.

The Droste effect is a specific kind of recursive picture,^[1] one that in heraldry is termed mise en abyme. An image exhibiting the Droste effect depicts a smaller version of itself in a place where a similar picture would realistically be expected to appear. This smaller version then depicts an even smaller version of itself in the same place, and so on. Only in theory could this go on forever; practically, it continues only as long as the resolution of the picture allows, which is relatively short, since each iteration geometrically reduces the picture's size. It is a visual example of a strange loop, a self-referential system of instancing which is the cornerstone of fractal geometry.

Origin

Droste effect recursion in VLC media player.

The effect is named after the image on the tins and boxes of Droste cocoa powder, one of the main Dutch brands, which displayed a nurse carrying a serving tray with a cup of hot chocolate and a box with the same image.^[2] This image, introduced in 1904 and maintained for decades with slight variations, became a household notion. Reportedly, poet and columnist Nico Scheepmaker introduced wider usage of the term in the late 1970s.^[3]

The Droste effect was used by Giotto di Bondone in 1320, in his Stefaneschi Triptych. The polyptych altarpiece portrays in its center panel Cardinal Giacomo Gaetani Stefaneschi offering the triptych itself to St. Peter.^[4] There are also several examples from medieval times of books featuring images containing the book itself or window panels in churches depicting miniature copies of the window panel itself. See the collection of articles Medieval mise-en-abyme: the object depicted within itself^[5] for examples and opinions on how this effect was used symbolically.

See also

• Audio feedback
• Fractal
• M. C. Escher
• Optical feedback
• Self-similarity
• Strange loop

References

1. ^ Nänny. Max and Fischer, Olga, The Motivated Sign: Iconicity in Language and Literature p. 37, John Benjamins Publishing Company, (2001) ISBN 9-027-22574-5
2. ^ Törnqvist, Egil. Ibsen: A Doll's House, pp.105, Cambridge University Press (1995) ISBN 0-521-47866-9
3. ^ Droste, altijd welkom
4. ^ Giotto di Bondone and assistants: Stefaneschi triptych
5. ^ Medieval 'mise-en-abyme': the object depicted within itself (collection of papers)

External links

• Escher and the Droste effect
• The Math Behind the Droste Effect (article by Jos Leys summarizing the results of the Leiden study and article)
• Droste Effect with Mathematica
• Droste Effect from Wolfram Demonstrations Project
• Droste Effect with Adobe Pixel Bender for Adobe Photoshop, Adobe After Effects, Adobe Flash, etc. By Tom Beddard.
• Live Droste effect on YouTube