The On-Line Encyclopedia of Bongard Problems

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Visual Bongard Problems such that if black and white are switched some examples switch sides vs. visual Bongard Problems that would always sort two switched versions the same way.

	BP157	BP196	BP211	BP337	BP859	BP962
	BP971	BP972	BP1008	BP1161	BP1249	BP1252

	BP170	BP359	BP524	BP1089	BP1093	BP1210
	BP1230

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

	COMMENTS	`Left-sorted examples have the keyword "blackwhite" on the OEBP.` `Right-sorted examples have the keyword "blackwhiteinvariant" on the OEBP.` `All examples are visual Bongard Problems that allow black to touch the bounding box (keyword bordercontent).`
	CROSSREFS	`Adjacent-numbered pages: BP551 BP552 BP553 BP554 BP555 * BP557 BP558 BP559 BP560 BP561`
	KEYWORD	`meta (see left/right), links, keyword, invariance, wellfounded`
	CONCEPT	`black_white_inversion (info \| search)`
	WORLD	`visualbp [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP948

Image of Bongard Problem such that pixel-inverting examples flips the solution vs. image of Bongard Problem such that pixel-inverting examples leaves the solution invariant.

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

	CROSSREFS	`See BP556 (keyword blackwhite) for the version with links to pages on the OEBP instead of images of Bongard Problems.` `Adjacent-numbered pages: BP943 BP944 BP945 BP946 BP947 * BP949 BP950 BP951 BP952 BP953`
	KEYWORD	`meta (see left/right), miniproblems, presentationinvariant`
	CONCEPT	`black_white_inversion (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1093

"Inverted symmetry" present vs. not

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

	CROSSREFS	`Adjacent-numbered pages: BP1088 BP1089 BP1090 BP1091 BP1092 * BP1094 BP1095 BP1096 BP1097 BP1098`
	KEYWORD	`nice, precise, allsorted, boundingbox, left-narrow, right-null, perfect, pixelperfect, preciseworld, bordercontent, blackwhiteinvariant`
	CONCEPT	`black_white_inversion (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

BP1107

Contains smaller copy of self with black and white inverted vs. not so.

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

	COMMENTS	`There are various problematic cases left out. Are black and white to be inverted within a fractal's convex hull or its outermost outline?` `Must this outline be preserved around the smaller inverted version of the fractal, or is it allowed to bleed into other white areas?` `No examples have been included in this Bongard Problem whose placement depends on these questions.`
	CROSSREFS	`Adjacent-numbered pages: BP1102 BP1103 BP1104 BP1105 BP1106 * BP1108 BP1109 BP1110 BP1111 BP1112`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`black_white_inversion (info \| search),` `fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`fractal [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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