The On-Line Encyclopedia of Bongard Problems

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BP57

Identical figures vs. figures not identical.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 232.`
	CROSSREFS	`BP1222 is similar but allows the shapes to be different sizes.` `BP343 is about existence of a pair of identical shapes among many shapes.` `Adjacent-numbered pages: BP52 BP53 BP54 BP55 BP56 * BP58 BP59 BP60 BP61 BP62`
	KEYWORD	`nice, finished, unorderedpair, traditional, bongard`
	CONCEPT	`identical (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP56

All figures of the same color vs. figures of different colors.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 232.`
	CROSSREFS	`Adjacent-numbered pages: BP51 BP52 BP53 BP54 BP55 * BP57 BP58 BP59 BP60 BP61`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`all (info \| search),` `outlined_filled (info \| search),` `same_feature (info \| search),` `same (info \| search),` `texture (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP55

A circle is at the left of the cavity if you look from inside the figure vs. a circle is at the right of the cavity if you look from inside the figure.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 232.`
	CROSSREFS	`Adjacent-numbered pages: BP50 BP51 BP52 BP53 BP54 * BP56 BP57 BP58 BP59 BP60`
	KEYWORD	`dual, handed, finished, traditional, bongard`
	CONCEPT	`indentation (info \| search),` `on_line_or_curve (info \| search),` `separation_of_joined_objects (info \| search),` `tracing_line_or_curve (info \| search),` `rotational_direction (info \| search),` `direction (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP54

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`

BP53

Inside figure has fewer angles than outside figure vs. inside figure has more angles than outside figure.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 231.`
	CROSSREFS	`Adjacent-numbered pages: BP48 BP49 BP50 BP51 BP52 * BP54 BP55 BP56 BP57 BP58`
	KEYWORD	`spectrum, finished, traditional, discrete, viceversa, bongard`
	CONCEPT	`inside (info \| search),` `number (info \| search),` `quantity_comparison (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP52

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`

BP51

Two circles close to each other vs. no two circles close to each other.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 230.`
	CROSSREFS	`Adjacent-numbered pages: BP46 BP47 BP48 BP49 BP50 * BP52 BP53 BP54 BP55 BP56`
	KEYWORD	`nice, finished, traditional, bongard`
	CONCEPT	`near_far (info \| search)`
	WORLD	`four_dot_outlines [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP50

Vertical axis of symmetry vs. no axis of symmetry.

(edit; present; nest [left/right]; search; history)

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 230.`
	CROSSREFS	`BP152 is the same solution (with the sides switched), using connected shapes and without black filling.` `BP1206 was created to be a slightly different version of this: "vertical axis of symmetry vs. no vertical axis of symmetry." (That less specific solution fits this Bongard Problem as well.)` `Adjacent-numbered pages: BP45 BP46 BP47 BP48 BP49 * BP51 BP52 BP53 BP54 BP55`
	KEYWORD	`nice, stretch, left-narrow, finished, traditional, bongard`
	CONCEPT	`symmetry_axis (info \| search),` `symmetry (info \| search)`
	WORLD	`curves_and_fill_shapes_separate_drawing [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP49

Points inside the figure outline are grouped more densely than outside the contour vs. points outside the figure contour are grouped more densely than inside the contour.

(edit; present; nest [left/right]; search; history)

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 230.`
	CROSSREFS	`Adjacent-numbered pages: BP44 BP45 BP46 BP47 BP48 * BP50 BP51 BP52 BP53 BP54`
	KEYWORD	`finished, traditional, viceversa, bongard`
	CONCEPT	`inside (info \| search),` `interior_exterior (info \| search),` `near_far (info \| search),` `feature_cluster (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP48

Solid dark figures above the outline figures vs. outline figures above the solid dark figures.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 229.`
	CROSSREFS	`Adjacent-numbered pages: BP43 BP44 BP45 BP46 BP47 * BP49 BP50 BP51 BP52 BP53`
	KEYWORD	`noisy, finished, traditional, viceversa, bongard`
	CONCEPT	`above_below (info \| search),` `average (info \| search),` `outlined_filled (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `texture (info \| search)`
	WORLD	`circle_square_eq-tri_small_some_outline_some_fill [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

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