The On-Line Encyclopedia of Bongard Problems

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Taller than wide vs. wider than tall.

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	COMMENTS	`All examples in this Bongard Problem are oblong connected figures made up of some curves.` `Shapes as tall as they are wide would be ambiguous.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 216.`
	CROSSREFS	`Adjacent-numbered pages: BP2 BP3 BP4 BP5 BP6 * BP8 BP9 BP10 BP11 BP12`
	KEYWORD	`easy, nice, dual, handed, rotate, stretch, finished, traditional, bongard`
	CONCEPT	`horizontal (info \| search),` `line_slope (info \| search),` `vertical (info \| search),` `quantity_comparison (info \| search)`
	WORLD	`Multiple options: figure_made_of_curves [smaller \| same \| bigger], oblong_axis_aligned_figure_made_of_curves [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Tall rectangle OR wide ellipse vs. wide rectangle OR tall ellipse.

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	COMMENTS	`All examples in this Bongard Problem are outlines of ellipses or rectangles aligned to the x-y-axes.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 218.`
	CROSSREFS	`Adjacent-numbered pages: BP8 BP9 BP10 BP11 BP12 * BP14 BP15 BP16 BP17 BP18`
	KEYWORD	`precise, stretch, finished, traditional, preciseworld, bongard`
	CONCEPT	`or (info \| search),` `horizontal (info \| search),` `line_slope (info \| search),` `vertical (info \| search)`
	WORLD	`rectangle_or_ellipse_outline_axis_aligned [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

The axis of the hole is parallel to the figure axis vs. the axis of the hole is perpendicular to the figure axis.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 225.`
	CROSSREFS	`Adjacent-numbered pages: BP30 BP31 BP32 BP33 BP34 * BP36 BP37 BP38 BP39 BP40`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`hole (info \| search),` `line_slope (info \| search),` `same (info \| search),` `texture (info \| search),` `parallel (info \| search),` `perpendicular (info \| search)`
	WORLD	`elongated_shape_one_small_elongated_centered_hole [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Segments approximately parallel to each other vs. large angles between segments.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 226.`
	CROSSREFS	`Adjacent-numbered pages: BP34 BP35 BP36 BP37 BP38 * BP40 BP41 BP42 BP43 BP44`
	KEYWORD	`finished, unorderedtriplet, traditional, bongard`
	CONCEPT	`all (info \| search),` `line_slope (info \| search),` `same (info \| search),` `similar (info \| search),` `three (info \| search),` `parallel (info \| search)`
	WORLD	`three_segments [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Negative slope vs. positive slope.

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	COMMENTS	`All examples feature a white circle and a black circle. The answer refers to the slope of the line connecting the two circles.` `The coloring of the circles is irrelevant.`
	CROSSREFS	`Adjacent-numbered pages: BP101 BP102 BP103 BP104 BP105 * BP107 BP108 BP109 BP110 BP111`
	KEYWORD	`nice, noisy, dual, handed, rotate, orderedpair, traditional`
	CONCEPT	`positive_negative_slope (info \| search),` `line_slope (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Some slope vs. another slope.

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	CROSSREFS	`Adjacent-numbered pages: BP153 BP154 BP155 BP156 BP157 * BP159 BP160 BP161 BP162 BP163`
	KEYWORD	`dual, arbitrary, rotate, traditional`
	CONCEPT	`line_slope (info \| search),` `specific_value (info \| search),` `specificity (info \| search)`
	AUTHOR	`Harry E. Foundalis`

Small variance of slopes vs. large variance of slopes.

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	CROSSREFS	`Adjacent-numbered pages: BP168 BP169 BP170 BP171 BP172 * BP174 BP175 BP176 BP177 BP178`
	KEYWORD	`nice, spectrum, traditional, continuous`
	CONCEPT	`all (info \| search),` `pattern_or_random (info \| search),` `line_slope (info \| search),` `statistical_variance (info \| search),` `similar (info \| search)`
	AUTHOR	`Harry E. Foundalis`

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