The On-Line Encyclopedia of Bongard Problems

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BP51

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

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

	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.

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

	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`

BP47

Triangle inside of the circle vs. circle inside of the triangle.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 229.`
	CROSSREFS	`Adjacent-numbered pages: BP42 BP43 BP44 BP45 BP46 * BP48 BP49 BP50 BP51 BP52`
	KEYWORD	`finished, traditional, viceversa, bongard`
	CONCEPT	`inside (info \| search),` `triangle (info \| search)`
	WORLD	`circle_triangle_outlines_nest [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP46

Triangle on top of the circle vs. circle on top of the triangle.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 229.`
	CROSSREFS	`Adjacent-numbered pages: BP41 BP42 BP43 BP44 BP45 * BP47 BP48 BP49 BP50 BP51`
	KEYWORD	`finished, traditional, viceversa, bongard`
	CONCEPT	`3d_front_back (info \| search),` `objects_overlap (info \| search),` `overlap (info \| search),` `triangle (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP45

Outline figure on top of solid black figure vs. black figure on top of outline figure.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 228.`
	CROSSREFS	`Adjacent-numbered pages: BP40 BP41 BP42 BP43 BP44 * BP46 BP47 BP48 BP49 BP50`
	KEYWORD	`dual, finished, traditional, viceversa, bongard`
	CONCEPT	`3d_front_back (info \| search),` `outlined_filled (info \| search),` `objects_overlap (info \| search),` `overlap (info \| search),` `texture (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP44

Small circles on different arcs vs. small circles on one arc.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 228.`
	CROSSREFS	`Adjacent-numbered pages: BP39 BP40 BP41 BP42 BP43 * BP45 BP46 BP47 BP48 BP49`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`between (info \| search),` `cusp (info \| search),` `on_line_or_curve (info \| search),` `separation_of_joined_objects (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP43

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

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

	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`

BP42

Points inside the figure outline are on a straight line vs. points inside the figure outline are not on a straight line.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 227.`
	CROSSREFS	`Adjacent-numbered pages: BP37 BP38 BP39 BP40 BP41 * BP43 BP44 BP45 BP46 BP47`
	KEYWORD	`noisy, finished, traditional, bongard`
	CONCEPT	`collinear (info \| search),` `interior_exterior (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search)`
	WORLD	`dots_and_outline_three_are_nested [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

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