The On-Line Encyclopedia of Bongard Problems

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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`

BP109

Circle on the right of the box vs. circle on the left of the box.

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

	CROSSREFS	`Adjacent-numbered pages: BP104 BP105 BP106 BP107 BP108 * BP110 BP111 BP112 BP113 BP114`
	KEYWORD	`noisy, dual, handed, leftright, traditional`
	CONCEPT	`absolute_position (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP953

Image of this Bongard Problem vs. empty image.

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	COMMENTS	`"Image of Bongard Problem with solution X vs. empty image" where X is the phrase in quotes.`
	CROSSREFS	`See BP959, BP902.` `Adjacent-numbered pages: BP948 BP949 BP950 BP951 BP952 * BP954 BP955 BP956 BP957 BP958`
	KEYWORD	`nice, precise, meta (see left/right), miniproblems, overriddensolution, right-full, right-null, perfect, infinitedetail, experimental, funny`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`zoom in left (bp953_image) \| zoom in right (blank_image)`
	AUTHOR	`Leo Crabbe`

BP171

Angle bisectors meet at the incenter vs. perpendicular bisectors meet at the orthocenter.

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	CROSSREFS	`Adjacent-numbered pages: BP166 BP167 BP168 BP169 BP170 * BP172 BP173 BP174 BP175 BP176`
	KEYWORD	`nice, math, traditional`
	CONCEPT	`triangle_incenter (info \| search),` `triangle_orthocenter (info \| search),` `triangle (info \| search)`
	AUTHOR	`Harry E. Foundalis`

BP312

Lines intersect within the box vs. lines intersect out of the box.

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	CROSSREFS	`Adjacent-numbered pages: BP307 BP308 BP309 BP310 BP311 * BP313 BP314 BP315 BP316 BP317`
	KEYWORD	`precise, allsorted, boundingbox, perfect, unorderedpair, traditional, preciseworld, absoluteposition`
	CONCEPT	`completed_out_of_box (info \| search),` `vertex_of_meeting_lines (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Jakub Štepo`

BP537

Meta Bongard Problems vs. other Bongard Problems.

BP200	BP501	BP503	BP504	BP506	BP507
BP508	BP509	BP510	BP511	BP512	BP513
BP514	BP515	BP516	BP517	BP518	BP519
BP520	BP521	BP522	BP526	BP534	BP535
BP537	BP539	BP541	BP542	BP544	BP546
BP547	BP549	BP550	BP552	BP553	. . .

	BP1	BP2	BP3	BP4	BP5	BP6
	BP7	BP8	BP9	BP10

?
BP1080

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	COMMENTS	`Bongard Problems sorted left have the keyword "meta" on the OEBP.` `Meta Bongard Problems are Bongard Problems that sort Bongard Problems. Sometimes abbreviated MBPs.` `The first meta Bongard Problem was BP200.` `Some meta BP pages sort images of Bongard Problems (keyword miniproblems), while other meta BP pages sort other BP pages (keyword links).`
	CROSSREFS	`BPs that sort meta-BPs are labelled metameta.` `Adjacent-numbered pages: BP532 BP533 BP534 BP535 BP536 * BP538 BP539 BP540 BP541 BP542`
	KEYWORD	`meta (see left/right), links, keyword, world, left-self, sideless, metameta, left-full, feedback`
	CONCEPT	`recursion (info \| search)`
	WORLD	`bp [smaller \| same \| bigger] zoom in left (linksbp)`
	AUTHOR	`Aaron David Fairbanks`

BP133

Dots collinear with center of circle vs. dots not collinear with center of circle.

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

	CROSSREFS	`Adjacent-numbered pages: BP128 BP129 BP130 BP131 BP132 * BP134 BP135 BP136 BP137 BP138`
	KEYWORD	`traditional`
	CONCEPT	`all (info \| search),` `collinear (info \| search),` `center_of_circle (info \| search),` `center (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP1012

No tile shares a partial side with another tile vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1007 BP1008 BP1009 BP1010 BP1011 * BP1013 BP1014 BP1015 BP1016 BP1017`
	KEYWORD	`precise, allsorted, perfect`
	CONCEPT	`infinite_plane (info \| search),` `tessellation (info \| search),` `tiling (info \| search)`
	WORLD	`wallpaper_tiling_1_polygon [smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

BP937

Shapes have equal perimeter vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP932 BP933 BP934 BP935 BP936 * BP938 BP939 BP940 BP941 BP942`
	KEYWORD	`precise, allsorted, unstable, left-narrow, perfect, unorderedpair`
	CONCEPT	`perimeter (info \| search)`
	WORLD	`2_fill_shapes [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP1057

Filled subsection divides the grid vs. not so

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	CROSSREFS	`Adjacent-numbered pages: BP1052 BP1053 BP1054 BP1055 BP1056 * BP1058 BP1059 BP1060 BP1061 BP1062`
	KEYWORD	`math, grid, left-listable, right-listable`
	CONCEPT	`division (info \| search),` `tiling (info \| search)`
	WORLD	`zoom in left`
	AUTHOR	`Jago Collins`

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