The On-Line Encyclopedia of Bongard Problems

Search: author:Aaron David Fairbanks

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Fractal topologically closed (each white point has a neighborhood of pure white surrounding it) vs. not

(edit; present; nest [left/right]; search; history)

	COMMENTS	`It isn't possible to unambiguously communicate whether or not a few specific points are missing.`
	CROSSREFS	`Adjacent-numbered pages: BP1234 BP1235 BP1236 BP1237 BP1238 * BP1240 BP1241 BP1242 BP1243 BP1244`
	KEYWORD	`notso, perfect, infinitedetail`
	CONCEPT	`fractal (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1238

Fractal with hole vs. fractal with no hole (simply connected).

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP1233 BP1234 BP1235 BP1236 BP1237 * BP1239 BP1240 BP1241 BP1242 BP1243`
	KEYWORD	`notso, perfect, infinitedetail`
	CONCEPT	`closed_open (info \| search),` `existence (info \| search),` `fractal (info \| search),` `hole (info \| search),` `loop (info \| search)`
	WORLD	`connected_fractal_self_tile [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1236

Bongard Problem with solution relating to concept: connected component vs. Bongard Problem unrelated to this concept.

BP1100

BP1237

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP1231 BP1232 BP1233 BP1234 BP1235 * BP1237 BP1238 BP1239 BP1240 BP1241`
	KEYWORD	`meta (see left/right), metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "connected_component"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1235

Bongard Problem with solution relating to concept: distingushing between distinct curves that cross vs. Bongard Problem unrelated to this concept.

BP31	BP190	BP391	BP560	BP562	BP576
BP788	BP932	BP1099	BP1100	BP1101	BP1102
BP1109	BP1233

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP1230 BP1231 BP1232 BP1233 BP1234 * BP1236 BP1237 BP1238 BP1239 BP1240`
	KEYWORD	`meta (see left/right), metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "distinguishing_crossing_curves"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1234

Bongard Problem with solution relating to concept: diagonal vs. Bongard Problem unrelated to this concept.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP1229 BP1230 BP1231 BP1232 BP1233 * BP1235 BP1236 BP1237 BP1238 BP1239`
	KEYWORD	`meta (see left/right), metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "diagonal"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1233

Different curves cross each other vs. curves only cross themselves (or do not cross at all).

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP1228 BP1229 BP1230 BP1231 BP1232 * BP1234 BP1235 BP1236 BP1237 BP1238`
	KEYWORD	`notso, traditional`
	CONCEPT	`distinguishing_crossing_curves (info \| search),` `x-crossing (info \| search)`
	WORLD	`smooth_crosscurves [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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`

BP1231

Bongard Problems where some information is left out from examples and they are only sorted on the side they seem to fit vs. other Bongard Problems.

BP1228

BP1229

(edit; present; nest [left/right]; search; history)

	COMMENTS	`Bongard Problems sorted left have the keyword "seemslike" on the OEBP.` `In a "seemslike" Bongard Problem, some relevant information is left out by the way objects are displayed. Solutions to "seemslike" BPs sound like "Seems like a ___ based on the information available vs. seems like a ___ based on the information available". The two sides are typically negations of one another (keyword notso).` `Since there is information missing, examples can only be sorted assuming they appear in a way that hints psychologically at what they actually are (see help).`
	CROSSREFS	`Although the rule sorting the underlying objects may be precise, the rule sorting the projections of the objects with lost information is fuzzy and subjective.` `See also left-couldbe (and right-couldbe), concerning situations in which the information given may be enough to determine when examples fail to satisfy a rule but is never enough to determine when they do satisfy the rule ("could be ___ vs. clearly is not"). In contrast to "seemslike" Bongard Problems, left-couldbe Bongard Problems can be precise; both evidence of fitting right and absence of evidence of fitting right is clear-cut, so no psychologically helpful hints (help) are needed.` `Adjacent-numbered pages: BP1226 BP1227 BP1228 BP1229 BP1230 * BP1232 BP1233 BP1234 BP1235 BP1236`
	KEYWORD	`meta (see left/right), links, keyword`
	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`

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