zonneve@IAEhv.nl
Another way is to display a left-right pair that can be viewed by staring
(somewhat painful because of the great base) or through a spreader
(VCH, http://www.vchgroup.de/vch/,
markets a mirror stereoscope).
Click on L-R.
The images are in 800*600*256 resolution. The colours are somewhat changed by Windows as the palette used cannot be displayed in a window. Better colours, no dithering, can be obtained by down-loading an image and displaying it using a viewer like Graphics Workshop or Lview. All pictures have been produced through ray-tracing.
We give some pictures of uniform polyhedra. (cf. M.J.Wenniger, Polyhedron Models, 1979, Cambridge Univ. Press)
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L-R truncated icosahedron (football)
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L-R truncated icosahedron with holes
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L-R path on football;
path that is left is equal to the one cut away; the cutting line is a Hamilton
path on the football
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L-R icosidodecahedron with holes
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L-R icosidodecahedron with holes
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L-R stellated octahedron
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L-R small stellated dodecahedron
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L-R great stellated dodecahedron
Next we give some pictures of Hamilton paths on uniform polyhedra. With execption of the tetrahedron and the dodecahedron, the path is not unique.
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L-R truncated octahedron
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L-R truncated icosahedron
Next we give some pictures based on a sculpture by the Russian constructivist Gabo.
Next we give some pictures of generalisations of the Gabo-surface.
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L-R generalisation 1 of Gabo-surface
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L-R generalisation 2 of Gabo-surface
Next come some pictures of knots.
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L-R trefoil knot, cannot be
painted with more than two colours due to a Moebius twist of 180 degrees
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L-R trefoil knot, triangular
cross-section; cannot be painted with more than one colour due to a Moebius
twist of 120 degrees
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L-R trefoil knot, square
cross-section; cannot be painted with more than two colours due to a Moebius
twist of 180 degrees
Next come some pictures of special constructions.
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L-R four triangles of circular cross-section
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L-R four triangles of square cross-section