The On-Line Encyclopedia of Bongard Problems

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BP959

This image of this Bongard Problem vs. empty image.

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	CROSSREFS	`See BP953, BP902.` `Adjacent-numbered pages: BP954 BP955 BP956 BP957 BP958 * BP960 BP961 BP962 BP963 BP964`
	KEYWORD	`less, meta (see left/right), miniproblems, left-finite, right-finite, left-full, right-full, right-null, perfect, infinitedetail, finished, experimental, funny`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`zoom in left \| zoom in right (blank_image)`
	AUTHOR	`Aaron David Fairbanks, Leo Crabbe`

BP1211

Triangle vs. anything else.

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

	CROSSREFS	`See BP6 for "triangle vs. quadrilateral".` `Adjacent-numbered pages: BP1206 BP1207 BP1208 BP1209 BP1210 * BP1212 BP1213 BP1214 BP1215 BP1216`
	KEYWORD	`stub, notso, left-narrow, traditional`
	CONCEPT	`triangle (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP130

Closed region is made of curves if flaws are ignored vs. closed region is a polygon if flaws are ignored.

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

	CROSSREFS	`Adjacent-numbered pages: BP125 BP126 BP127 BP128 BP129 * BP131 BP132 BP133 BP134 BP135`
	KEYWORD	`noisy, traditional`
	CONCEPT	`curved_straight (info \| search),` `imperfection_small (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP201

Two of the shapes make tiles along their border lines vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP196 BP197 BP198 BP199 BP200 * BP202 BP203 BP204 BP205 BP206`
	KEYWORD	`noisy, traditional`
	CONCEPT	`rotation_required (info \| search),` `tiling (info \| search),` `imagined_motion (info \| search),` `motion (info \| search)`
	WORLD	`fill_shapes [smaller \| same \| bigger]`
	AUTHOR	`Giuseppe Insana`

BP244

Scanning left-to-right, top-to-bottom, each filled box is separated from the next filled box by the same number of empty boxes vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP239 BP240 BP241 BP242 BP243 * BP245 BP246 BP247 BP248 BP249`
	KEYWORD	`left-finite, right-finite, traditional`
	CONCEPT	`all (info \| search),` `subtraction (info \| search),` `outlined_filled (info \| search),` `wrapping_around_bounding_box (info \| search),` `same_number (info \| search),` `same (info \| search),` `texture (info \| search)`
	AUTHOR	`Matthew J. Howells`

BP55

A circle is at the left of the cavity if you look from inside the figure vs. a circle is at the right of the cavity if you look from inside the figure.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 232.`
	CROSSREFS	`Adjacent-numbered pages: BP50 BP51 BP52 BP53 BP54 * BP56 BP57 BP58 BP59 BP60`
	KEYWORD	`dual, handed, finished, traditional, bongard`
	CONCEPT	`indentation (info \| search),` `on_line_or_curve (info \| search),` `separation_of_joined_objects (info \| search),` `tracing_line_or_curve (info \| search),` `rotational_direction (info \| search),` `direction (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP576

Vertices may be partitioned into two sets such that no two vertices in the same set are connected versus not so.

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

	COMMENTS	`Left examples are called "bipartite graphs."`
	CROSSREFS	`Adjacent-numbered pages: BP571 BP572 BP573 BP574 BP575 * BP577 BP578 BP579 BP580 BP581`
	KEYWORD	`precise, allsorted, notso, math, traditional, preciseworld`
	CONCEPT	`graph (info \| search),` `distinguishing_crossing_curves (info \| search)`
	WORLD	`graph [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP105

Ends of line point to the same direction vs. ends of line do not point to the same direction.

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

	CROSSREFS	`Adjacent-numbered pages: BP100 BP101 BP102 BP103 BP104 * BP106 BP107 BP108 BP109 BP110`
	KEYWORD	`noisy, traditional`
	CONCEPT	`slope_at_endpoint (info \| search),` `tracing_line_or_curve (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP1279

Circled points are all possible vertices a square with a particular side length can take, provided that each of its corners lie on a grid point vs. not so.

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

	COMMENTS	`Rotation of the square is allowed.`
	CROSSREFS	`See BP1280 for version with hexagons on a hexagonal grid.` `Adjacent-numbered pages: BP1274 BP1275 BP1276 BP1277 BP1278 * BP1280 BP1281 BP1282 BP1283 BP1284`
	KEYWORD	`hard, precise, allsorted, unwordable, hardsort, left-finite, right-finite, left-full, fixedgrid, preciseworld`
	CONCEPT	`square (info \| search)`
	AUTHOR	`Leo Crabbe`

BP194

Background is a parallelogram vs. background is a triangle.

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

	CROSSREFS	`Adjacent-numbered pages: BP189 BP190 BP191 BP192 BP193 * BP195 BP196 BP197 BP198 BP199`
	KEYWORD	`easy, nice, noisy, traditional`
	CONCEPT	`shape_background (info \| search),` `number (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search),` `triangle (info \| search)`
	AUTHOR	`Harry E. Foundalis`

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