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Search: author:Aaron David Fairbanks
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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

BP1230 Invariant under scaling by a certain amount vs. not.
(edit; present; nest [left/right]; search; history)
COMMENTS

Each example on the left is imagined to continue beyond the bounding box.

CROSSREFS

Adjacent-numbered pages:
BP1225 BP1226 BP1227 BP1228 BP1229  *  BP1231 BP1232 BP1233 BP1234 BP1235

KEYWORD

stub, notso, perfect, infinitedetail, left-couldbe, bordercontent, blackwhiteinvariant

CONCEPT fractal (info | search),
recursion (info | search),
symmetry (info | search)

AUTHOR

Aaron David Fairbanks

BP1229 Translational symmetry vs. no translational symmetry.
(edit; present; nest [left/right]; search; history)
COMMENTS

Each example on the left is imagined to continue beyond the bounding box.

CROSSREFS

Adjacent-numbered pages:
BP1224 BP1225 BP1226 BP1227 BP1228  *  BP1230 BP1231 BP1232 BP1233 BP1234

KEYWORD

stub, notso, seemslike

CONCEPT symmetry (info | search)

AUTHOR

Aaron David Fairbanks

BP1228 Frieze pattern with glide reflection symmetry vs. not.
(edit; present; nest [left/right]; search; history)
COMMENTS

Each example on the left is imagined to continue beyond the bounding box.

CROSSREFS

Adjacent-numbered pages:
BP1223 BP1224 BP1225 BP1226 BP1227  *  BP1229 BP1230 BP1231 BP1232 BP1233

KEYWORD

stub, notso, traditional, bordercontent, seemslike

CONCEPT symmetry (info | search)

AUTHOR

Aaron David Fairbanks

BP1227 Appears on its own right side vs. does not.
(edit; present; nest [left/right]; search; history)
COMMENTS

This was created as an example of a Bongard Problem that could include an image of a Bongard Problem with the same solution as itself but could not include the very image of itself (appearing within itself fractally).

CROSSREFS

See also BP961, "appears on its own left side vs. appears on its own right side".

Adjacent-numbered pages:
BP1222 BP1223 BP1224 BP1225 BP1226  *  BP1228 BP1229 BP1230 BP1231 BP1232

KEYWORD

stub, precise, allsorted, notso, handed, leftright, example, perfect, infinitedetail

CONCEPT fractal (info | search),
recursion (info | search)

AUTHOR

Aaron David Fairbanks

BP1226 Three identical elements vs. other number of identical elements.
(edit; present; nest [left/right]; search; history)
COMMENTS

Based on BP91, which is the same, except for that the right side is "four identical elements".

CROSSREFS

Adjacent-numbered pages:
BP1221 BP1222 BP1223 BP1224 BP1225  *  BP1227 BP1228 BP1229 BP1230 BP1231

KEYWORD

stub, arbitrary, number, traditional

CONCEPT number (info | search),
three (info | search)

AUTHOR

Aaron David Fairbanks

BP1224 Grey shape present vs. not.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1219 BP1220 BP1221 BP1222 BP1223  *  BP1225 BP1226 BP1227 BP1228 BP1229

KEYWORD

stub, notso, dithering

CONCEPT existence (info | search),
texture (info | search)

AUTHOR

Aaron David Fairbanks

BP1223 Center square is black vs. center square is white.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples are a three by three grid of black or white squares.

CROSSREFS

Adjacent-numbered pages:
BP1218 BP1219 BP1220 BP1221 BP1222  *  BP1224 BP1225 BP1226 BP1227 BP1228

KEYWORD

stub, left-finite, right-finite, traditional, finishedexamples, fixedgrid, preciseworld

CONCEPT outlined_filled (info | search),
center (info | search)

AUTHOR

Aaron David Fairbanks

BP1222 Same shape up to resizing vs. different shapes.
(edit; present; nest [left/right]; search; history)
CROSSREFS

BP57 instead requires the shapes are identical, even in size.

Adjacent-numbered pages:
BP1217 BP1218 BP1219 BP1220 BP1221  *  BP1223 BP1224 BP1225 BP1226 BP1227

KEYWORD

stub, precise, allsorted, traditional

CONCEPT size (info | search),
same_shape (info | search),
same (info | search)

AUTHOR

Aaron David Fairbanks

BP1221 Square present vs. no square present.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Nearly identical to BP1209, which is the same except the square is always empty (and the right side still has no squares, empty or not).

Adjacent-numbered pages:
BP1216 BP1217 BP1218 BP1219 BP1220  *  BP1222 BP1223 BP1224 BP1225 BP1226

KEYWORD

stub

CONCEPT existence (info | search),
square (info | search)

AUTHOR

Aaron David Fairbanks

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