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Search: BP1232
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BP1232 Curves with at least one crossing vs. curves do not cross.
(edit; present; nest [left/right]; search; history)
COMMENTS

Based on BP30, "curve with exactly one self-crossing vs. curve without a self-crossing". This is just a slightly more general version.

CROSSREFS

Adjacent-numbered pages:
BP1227 BP1228 BP1229 BP1230 BP1231  *  BP1233 BP1234 BP1235 BP1236 BP1237

EXAMPLE

EX6881

KEYWORD

stub, notso, traditional

CONCEPT x-crossing (info | search),
existence (info | search)

WORLD

crosscurves [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP30 A curve with one self-crossing vs. a curve without a self-crossing.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 223.

CROSSREFS

BP1232 is almost exactly the same, but allowing for multiple curves and multiple self-crossings.

Adjacent-numbered pages:
BP25 BP26 BP27 BP28 BP29  *  BP31 BP32 BP33 BP34 BP35

KEYWORD

nice, finished, traditional, bongard

CONCEPT x-crossing (info | search),
existence (info | search)

WORLD

crosscurve [smaller | same | bigger]
zoom in right (curve_or_outline)

AUTHOR

Mikhail M. Bongard

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