NEW! Impossible Motion Got the First Prize.
I am happy to announce that this illusion won the first prize at the
Best Illusion of the Year Contest 2010 held on May 10th, 2010 in Naples, Florida.
Thank you
very much for warm encouragement.
Snap Shot Images
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A short description is here (pdf).
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A constructin kit (figures of unfolded surfaces) is
here (pdf file) . Do not
forget to add margins to glue them up. A short description about the way
of constructing the solid is
here.
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Nature News
This is a collection of recent ten impossible motions.
This is an introduction to impossible solids and impossible motions.
Solid objects which generate anomalous pictures
Copyright in 1997 by Kokichi Sugihara
The following are not painting, but photographs of real paper-made
objects. If you want to make them by yourself, copy the figures
of the unfolded surfaces. Don't forget to add margins to paste up.
Escher's Endless Stairs
Unfolded surface (ps file)
Unfolded surface (pdf file)
U and Bar
Unfolded surface (ps file)
Unfolded surface (pdf file)
Two Rings
Unfolded surface (ps file)
Unfolded surface (pdf file)
References
- Kokichi SUGIHARA:
Classification of impossible objects.
Perception, Vol.11, No.1 (January 1982), pp.65-74.
- Kokichi SUGIHARA:
Mathematical structures of line drawings of polyhedrons.
--- Toward man-machine communication by means of line drawings.
IEEE Transactions on Pattern Analysis and Machine Intelligence,
Vol.PAMI-4, No.5 (September 1982), pp.458-469.
- Kokichi SUGIHARA:
An algebraic and combinatorial approach to the analysis of line
drawings of polyhedra.
Discrete Applied Mathematics, Vol.9 (1984), pp.77-104.
- Kokichi SUGIHARA:
A necessary and sufficient condition for a picture to represent
a polyhedral scene.
IEEE Transactions on Pattern Analysis and Machine Intelligence,
Vol.PAMI-6, No.5 (September 1984), pp.578-586.
- Kokichi SUGIHARA: Machine Interpretation of Line Drawings.
MIT Press, Massachusetts, 1986.
- Kokichi SUGIHARA:
Three-dimentional realization of anomalous pictures---An application of
picture interpretation theory to toy design.
Pattern Recognition, Vol.30, No.7 (1997), pp.1061-1067.
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