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`

Horizontal pinch vs. vertical pinch.

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	COMMENTS	`All examples in this Bongard Problem are outlines of shapes. More specifically, all examples have a thin horizontal or vertical bridge in the middle connecting two wide ends.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 220.`
	CROSSREFS	`Adjacent-numbered pages: BP14 BP15 BP16 BP17 BP18 * BP20 BP21 BP22 BP23 BP24`
	KEYWORD	`dual, rotate, finished, traditional, bongard`
	CONCEPT	`horizontal (info \| search),` `neck_narrowing (info \| search),` `vertical (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

The vibration amplitude increases from left to right vs. the vibration amplitude decreases from left to right.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 228.`
	CROSSREFS	`Adjacent-numbered pages: BP38 BP39 BP40 BP41 BP42 * BP44 BP45 BP46 BP47 BP48`
	KEYWORD	`dual, handed, leftright, finished, traditional, viceversa, bongard`
	CONCEPT	`size_increase_decrease (info \| search),` `horizontal (info \| search),` `leftward_rightward (info \| search),` `regular_irregular_change (info \| search),` `tracing_line_or_curve (info \| search),` `wave (info \| search)`
	WORLD	`wave_horizontal_increase_or_decrease [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

A set of triangles elongated horizontally vs. a set of triangles elongated vertically.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 235.`
	CROSSREFS	`Adjacent-numbered pages: BP60 BP61 BP62 BP63 BP64 * BP66 BP67 BP68 BP69 BP70`
	KEYWORD	`noisy, spectrum, rotate, finished, traditional, viceversa, bongard`
	CONCEPT	`convex_hull (info \| search),` `elongated_compact (info \| search),` `horizontal (info \| search),` `cluster (info \| search),` `similar_feature (info \| search),` `similar (info \| search),` `vertical (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Unconnected circles on a horizontal line vs. unconnected circles on a vertical line.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 235.`
	CROSSREFS	`Adjacent-numbered pages: BP61 BP62 BP63 BP64 BP65 * BP67 BP68 BP69 BP70 BP71`
	KEYWORD	`noisy, finished, traditional, bongard`
	CONCEPT	`collinear (info \| search),` `horizontal (info \| search),` `on_line_or_curve (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search),` `vertical (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Vertical hatched lines vs. horizontal hatched lines.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 245.`
	CROSSREFS	`Adjacent-numbered pages: BP90 BP91 BP92 BP93 BP94 * BP96 BP97 BP98 BP99 BP100`
	KEYWORD	`dual, rotate, finished, traditional, bongard`
	CONCEPT	`horizontal (info \| search),` `texture_area (info \| search),` `texture (info \| search),` `vertical (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Polygon stands on side vs. polygon stands on vertex.

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	CROSSREFS	`Adjacent-numbered pages: BP111 BP112 BP113 BP114 BP115 * BP117 BP118 BP119 BP120 BP121`
	KEYWORD	`noisy, traditional`
	CONCEPT	`base (info \| search),` `horizontal (info \| search),` `uppermost_lowermost (info \| search),` `vertex_of_meeting_lines (info \| search),` `vertical (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Dots are vertices of a triangle standing on a side vs. dots are vertices of a triangle standing on a vertex.

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	CROSSREFS	`Adjacent-numbered pages: BP127 BP128 BP129 BP130 BP131 * BP133 BP134 BP135 BP136 BP137`
	KEYWORD	`noisy, traditional`
	CONCEPT	`base (info \| search),` `horizontal (info \| search),` `vertex_of_meeting_lines (info \| search),` `triangle (info \| search),` `vertical (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Three collinear and two others, the two are vertical vs. the two are horizontal.

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	CROSSREFS	`Adjacent-numbered pages: BP142 BP143 BP144 BP145 BP146 * BP148 BP149 BP150 BP151 BP152`
	KEYWORD	`traditional`
	CONCEPT	`collinear (info \| search),` `horizontal (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `vertical (info \| search),` `two (info \| search),` `three (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

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