The On-Line Encyclopedia of Bongard Problems

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Clockwise spiraling curve vs. counter-clockwise spiraling curve.

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	COMMENTS	`All examples in this Bongard Problem are non-self-intersecting spiraling curves, perhaps wiggly, perhaps with corners.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 219.`
	CROSSREFS	`Adjacent-numbered pages: BP11 BP12 BP13 BP14 BP15 * BP17 BP18 BP19 BP20 BP21`
	KEYWORD	`nice, handed, gap, finished, traditional, bongard`
	CONCEPT	`turn_orientation (info \| search),` `tracing_line_or_curve (info \| search),` `rotational_direction (info \| search),` `direction (info \| search)`
	WORLD	`spiral [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

A cross, circle, and triangle arranged counterclockwise vs. a cross, circle, and triangle arranged clockwise.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 231.`
	CROSSREFS	`Adjacent-numbered pages: BP49 BP50 BP51 BP52 BP53 * BP55 BP56 BP57 BP58 BP59`
	KEYWORD	`dual, handed, finished, orderedtriplet, traditional, bongard`
	CONCEPT	`turn_orientation (info \| search),` `rotational_direction (info \| search),` `triangle (info \| search),` `direction (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

All turns are in one direction and rectangular loop exists vs. turns in different directions and no rectangular loop exists.

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	CROSSREFS	`Adjacent-numbered pages: BP115 BP116 BP117 BP118 BP119 * BP121 BP122 BP123 BP124 BP125`
	KEYWORD	`traditional`
	CONCEPT	`all (info \| search),` `turn_orientation (info \| search),` `tracing_line_or_curve (info \| search),` `turning_direction (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

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`

What comes out of black circle has a clockwise direction vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP221 BP222 BP223 BP224 BP225 * BP227 BP228 BP229 BP230 BP231`
	KEYWORD	`traditional`
	CONCEPT	`turn_orientation (info \| search),` `protrusion (info \| search),` `rotational_direction (info \| search),` `direction (info \| search)`
	AUTHOR	`Giuseppe Insana`

Two identical overlapping objects of which the top is rotated slightly clockwise vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP254 BP255 BP256 BP257 BP258 * BP260 BP261 BP262 BP263 BP264`
	KEYWORD	`traditional`
	CONCEPT	`turn_orientation (info \| search),` `rotation_required (info \| search),` `objects_overlap (info \| search),` `overlap (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`Andreas Gunnarsson`

Closed curves clockwise, open curves counterclockwise vs. closed curves counterclockwise, open curves clockwise.

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	CROSSREFS	`Adjacent-numbered pages: BP308 BP309 BP310 BP311 BP312 * BP314 BP315 BP316 BP317 BP318`
	KEYWORD	`dual, handed, leftright, updown, traditional`
	CONCEPT	`turn_orientation (info \| search),` `closed_open (info \| search)`
	AUTHOR	`Jakub Štepo`

Any one gear turns all vs. no gear turns all.

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	CROSSREFS	`See BP536 for all gears can turn.` `Adjacent-numbered pages: BP331 BP332 BP333 BP334 BP335 * BP337 BP338 BP339 BP340 BP341`
	KEYWORD	`nice, stretch, physics, traditional`
	CONCEPT	`all (info \| search),` `turn_orientation (info \| search),` `every_other (info \| search),` `gear (info \| search),` `on_line_or_curve (info \| search),` `tracing_line_or_curve (info \| search),` `imagined_motion (info \| search),` `motion (info \| search)`
	WORLD	`gears [smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Aaron David Fairbanks`

Counterclockwise along the curve following the arrow vs. clockwise along the curve following the arrow.

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	CROSSREFS	`Adjacent-numbered pages: BP358 BP359 BP360 BP361 BP362 * BP364 BP365 BP366 BP367 BP368`
	KEYWORD	`easy, nice, dual, handed, leftright, updown, gap, traditional`
	CONCEPT	`arrow (info \| search),` `turn_orientation (info \| search),` `tracing_line_or_curve (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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