The On-Line Encyclopedia of Bongard Problems

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Arrows pointing in different directions vs. arrows pointing in the same direction.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 231.`
	CROSSREFS	`Adjacent-numbered pages: BP47 BP48 BP49 BP50 BP51 * BP53 BP54 BP55 BP56 BP57`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`arrow (info \| search),` `tracing_lines_or_curves_meet (info \| search),` `pointing_to (info \| search),` `tracing_line_or_curve (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Extensions of segments cross at one point vs. extensions of segments do not cross at one point.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 239.`
	CROSSREFS	`Adjacent-numbered pages: BP73 BP74 BP75 BP76 BP77 * BP79 BP80 BP81 BP82 BP83`
	KEYWORD	`finished, unorderedtriplet, traditional, bongard`
	CONCEPT	`all (info \| search),` `lines_coincide (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	WORLD	`three_segments [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Internal arrows point outward vs. internal arrows point inward.

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	CROSSREFS	`Adjacent-numbered pages: BP97 BP98 BP99 BP100 BP101 * BP103 BP104 BP105 BP106 BP107`
	KEYWORD	`traditional`
	CONCEPT	`arrow (info \| search),` `between (info \| search),` `tracing_lines_or_curves_meet (info \| search),` `tracing_line_or_curve (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

One circle passes through the center of the other circle vs. no circle passes through the center of the other circle.

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	CROSSREFS	`Adjacent-numbered pages: BP99 BP100 BP101 BP102 BP103 * BP105 BP106 BP107 BP108 BP109`
	KEYWORD	`precise, unorderedpair, traditional`
	CONCEPT	`on_line_or_curve (info \| search),` `center_of_circle (info \| search),` `center (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Triangle points to center of circle vs. triangle does not point to center of circle.

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	CROSSREFS	`Adjacent-numbered pages: BP112 BP113 BP114 BP115 BP116 * BP118 BP119 BP120 BP121 BP122`
	KEYWORD	`traditional`
	CONCEPT	`between (info \| search),` `on_line_or_curve (info \| search),` `midpoint (info \| search),` `pointing_to (info \| search),` `center_of_circle (info \| search),` `center (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `triangle_arrow (info \| search),` `triangle (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

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

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	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`

Circle centers are collinear vs. circle centers are not collinear.

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	CROSSREFS	`Adjacent-numbered pages: BP129 BP130 BP131 BP132 BP133 * BP135 BP136 BP137 BP138 BP139`
	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`

Midpoints are collinear vs. midpoints are not collinear.

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	CROSSREFS	`Adjacent-numbered pages: BP156 BP157 BP158 BP159 BP160 * BP162 BP163 BP164 BP165 BP166`
	KEYWORD	`nice, unorderedtriplet, traditional`
	CONCEPT	`all (info \| search),` `collinear (info \| search),` `midpoint (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Harry E. Foundalis`

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`

Center of circle in triangle perpendicular to the other two vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP173 BP174 BP175 BP176 BP177 * BP179 BP180 BP181 BP182 BP183`
	KEYWORD	`traditional`
	CONCEPT	`center_of_circle (info \| search),` `center (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search),` `triangle (info \| search)`
	AUTHOR	`Harry E. Foundalis`

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