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`

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`

Triangle above circle vs. circle above triangle.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 225.`
	CROSSREFS	`Adjacent-numbered pages: BP31 BP32 BP33 BP34 BP35 * BP37 BP38 BP39 BP40 BP41`
	KEYWORD	`spectrum, dual, handed, updown, rotate, finished, orderedpair, traditional, continuous, viceversa, bongard`
	CONCEPT	`above_below (info \| search),` `triangle (info \| search),` `quantity_comparison (info \| search)`
	WORLD	`one_circle_one_eq-tri_small_outlines [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`

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`

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`

No axis of symmetry vs. vertical axis of symmetry.

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	CROSSREFS	`BP50 is the same solution (with the sides switched), using multiple shapes and with some shapes filled in black.` `BP1206 is like BP50 but instead of "no axis of symmetry at all" it uses "no vertical axis of symmetry".` `Adjacent-numbered pages: BP147 BP148 BP149 BP150 BP151 * BP153 BP154 BP155 BP156 BP157`
	KEYWORD	`rotate, stretch, traditional`
	CONCEPT	`existence (info \| search),` `symmetry_axis (info \| search),` `symmetry (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`

Stays put vs. tumbles.

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	CROSSREFS	`BP273 has the same solution, except all examples are letters.` `Adjacent-numbered pages: BP194 BP195 BP196 BP197 BP198 * BP200 BP201 BP202 BP203 BP204`
	KEYWORD	`nice, handed, updown, rotate, physics, anticomputer, perfect`
	CONCEPT	`base (info \| search),` `downward_upward (info \| search),` `tumbles_or_stays_put (info \| search),` `line_absolute_direction (info \| search),` `absolute_direction (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `direction (info \| search),` `gravity (info \| search)`
	AUTHOR	`Harry E. Foundalis`

Stays put (both when placed on its top and bottom) vs. tumbles (when placed on its bottom).

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	CROSSREFS	`See BP199 for the original "stays put vs. tumbles".` `Adjacent-numbered pages: BP268 BP269 BP270 BP271 BP272 * BP274 BP275 BP276 BP277 BP278`
	KEYWORD	`rotate, physics`
	CONCEPT	`base (info \| search),` `downward_upward (info \| search),` `tumbles_or_stays_put (info \| search),` `line_absolute_direction (info \| search),` `absolute_direction (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `direction (info \| search),` `gravity (info \| search)`
	WORLD	`arial_font_centered_connected_symbol [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

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