The On-Line Encyclopedia of Bongard Problems

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All curves spiral counterclockwise, starting from maximum curvature vs. all curves spiral clockwise, starting from maximum curvature.

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	CROSSREFS	`Adjacent-numbered pages: BP203 BP204 BP205 BP206 BP207 * BP209 BP210 BP211 BP212 BP213`
	KEYWORD	`traditional`
	CONCEPT	`all (info \| search),` `turn_orientation (info \| search),` `tracing_line_or_curve (info \| search),` `rotational_direction (info \| search),` `direction (info \| search)`
	AUTHOR	`Giuseppe Insana`

BP129

Indentation on protrusion vs. indentation on indentation.

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	CROSSREFS	`Adjacent-numbered pages: BP124 BP125 BP126 BP127 BP128 * BP130 BP131 BP132 BP133 BP134`
	KEYWORD	`traditional`
	CONCEPT	`indentation (info \| search),` `protrusion (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP1283

If two nodes are linked, they are each linked to a different number of nodes vs. not so.

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	REFERENCE	`https://en.wikipedia.org/wiki/Highly_irregular_graph`
	CROSSREFS	`Adjacent-numbered pages: BP1278 BP1279 BP1280 BP1281 BP1282 * BP1284 BP1285 BP1286 BP1287 BP1288`
	CONCEPT	`graph (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1209

Empty square present vs. no square present.

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	CROSSREFS	`Nearly identical to BP1221, which is the same except non-empty squares are allowed.` `See BP24 for "circle present vs. not".` `Adjacent-numbered pages: BP1204 BP1205 BP1206 BP1207 BP1208 * BP1210 BP1211 BP1212 BP1213 BP1214`
	KEYWORD	`stub, left-narrow, traditional`
	CONCEPT	`empty (info \| search),` `existence (info \| search),` `square (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP825

Ticks mark an infinite sequence of angles on circle such that each angle is the double of the subsequent angle in the sequence (angle measured from rightmost indicated point) vs. not so.

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	COMMENTS	`This is solvable; it was solved by Sridhar Ramesh.` `A full turn is considered "the same angle" as no turns; likewise for adding and subtracting full turns from any angle. All sequences of angles shown start at the rightmost tick.` `It doesn't matter whether the angle is measured clockwise or counterclockwise, as long as the choice is consistent.`
	CROSSREFS	`Adjacent-numbered pages: BP820 BP821 BP822 BP823 BP824 * BP826 BP827 BP828 BP829 BP830`
	KEYWORD	`hard, convoluted, notso, math, solved`
	CONCEPT	`sequence (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP365

Two independent quantities changing simultaneously vs. determined by just one changing quantity.

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	COMMENTS	`Examples sorted right may feature multiple quantities, but one changing quantity determines all changing quantities.` `The distinction between the two sides is fuzzy. For example the left-sorted example EX4364 could be viewed as determined by just the one changing quantity of width and the fact that the height is given by two times the width minus one. On the other hand the right-sorted example EX4370 could be viewed as determined by the two changing quantities number of black squares and number of white squares, ignoring the fact that the total number of squares is always six.`
	CROSSREFS	`Adjacent-numbered pages: BP360 BP361 BP362 BP363 BP364 * BP366 BP367 BP368 BP369 BP370`
	KEYWORD	`fuzzy, traditional, rules, miniworlds`
	CONCEPT	`size_increase_decrease (info \| search),` `tracing_line_or_curve (info \| search)`
	WORLD	`constant_change_seq_increase_right [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP63

Shading thicker on the right side vs. shading thicker on the left side.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 234.`
	CROSSREFS	`Adjacent-numbered pages: BP58 BP59 BP60 BP61 BP62 * BP64 BP65 BP66 BP67 BP68`
	KEYWORD	`dual, handed, finished, traditional, viceversa, bongard`
	CONCEPT	`left_right (info \| search),` `curve_texture (info \| search),` `texture (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP290

If any non-nosed faces exist, they are happy if and only if happy nosed faces exist as well vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP285 BP286 BP287 BP288 BP289 * BP291 BP292 BP293 BP294 BP295`
	KEYWORD	`convoluted`
	CONCEPT	`existence (info \| search),` `iff (info \| search)`
	AUTHOR	`"Lewis"`

BP307

Dots are in tight clusters around convex vertices vs. dots are spread around.

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	CROSSREFS	`BP308 is similar.` `Adjacent-numbered pages: BP302 BP303 BP304 BP305 BP306 * BP308 BP309 BP310 BP311 BP312`
	KEYWORD	`traditional`
	CONCEPT	`vertex_of_meeting_lines (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search)`
	AUTHOR	`"Lewis"`

BP162

Every other side, if extended, passes through one point vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP157 BP158 BP159 BP160 BP161 * BP163 BP164 BP165 BP166 BP167`
	KEYWORD	`hard, noisy, traditional`
	CONCEPT	`lines_coincide (info \| search),` `every_other (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Harry E. Foundalis`

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