The On-Line Encyclopedia of Bongard Problems

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A cross is located on the extension of the ellipse axis vs. a circle is located on the extension of the ellipse axis.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 235.`
	CROSSREFS	`Adjacent-numbered pages: BP59 BP60 BP61 BP62 BP63 * BP65 BP66 BP67 BP68 BP69`
	KEYWORD	`noisy, dual, finished, orderedtriplet, traditional, bongard`
	CONCEPT	`collinear (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

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

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

	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.

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

	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`

There are no side branches of the second order vs. there are side branches of the second order.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 237.`
	CROSSREFS	`Adjacent-numbered pages: BP65 BP66 BP67 BP68 BP69 * BP71 BP72 BP73 BP74 BP75`
	KEYWORD	`nice, finished, traditional, bongard`
	CONCEPT	`recursion_number (info \| search),` `recursion (info \| search),` `tracing_line_or_curve (info \| search),` `trunk_of_tree (info \| search),` `two (info \| search)`
	WORLD	`curve_tree [smaller \| same \| bigger] zoom in left (curve_tree_one_level)`
	AUTHOR	`Mikhail M. Bongard`

There are inside figures of the second order vs. there are no inside figures of the second order.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 237.`
	CROSSREFS	`See BP1022 for a Problem about presence of nesting.` `Adjacent-numbered pages: BP66 BP67 BP68 BP69 BP70 * BP72 BP73 BP74 BP75 BP76`
	KEYWORD	`nice, finished, traditional, bongard`
	CONCEPT	`recursion_number (info \| search),` `inside (info \| search),` `recursion (info \| search),` `two (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

The long axes of the ellipse and rectangle are perpendicular vs. the long axes of the ellipse and rectangle are parallel.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 238.`
	CROSSREFS	`Adjacent-numbered pages: BP68 BP69 BP70 BP71 BP72 * BP74 BP75 BP76 BP77 BP78`
	KEYWORD	`noisy, finished, traditional, bongard`
	CONCEPT	`imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `parallel (info \| search),` `perpendicular (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Triangle located at the concave side of an arc vs. triangle located at the convex side of an arc.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 238.`
	CROSSREFS	`Adjacent-numbered pages: BP70 BP71 BP72 BP73 BP74 * BP76 BP77 BP78 BP79 BP80`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`concave_convex_region (info \| search),` `on_sides_of_curve (info \| search),` `triangle (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Long sides concave vs. long sides convex.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 239.`
	CROSSREFS	`Adjacent-numbered pages: BP71 BP72 BP73 BP74 BP75 * BP77 BP78 BP79 BP80 BP81`
	KEYWORD	`nice, stretch, finished, traditional, viceversa, bongard`
	CONCEPT	`indentation (info \| search),` `size (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Angle divided in half vs. angle not divided in half.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 239.`
	CROSSREFS	`Adjacent-numbered pages: BP72 BP73 BP74 BP75 BP76 * BP78 BP79 BP80 BP81 BP82`
	KEYWORD	`nice, notso, stretch, finished, traditional, bongard`
	CONCEPT	`angle (info \| search),` `half (info \| search),` `same_feature (info \| search),` `same (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

The convex hull of the crosses forms an equilateral triangle vs. the convex hull of the crosses does not form an equilateral triangle.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 241.`
	CROSSREFS	`Adjacent-numbered pages: BP77 BP78 BP79 BP80 BP81 * BP83 BP84 BP85 BP86 BP87`
	KEYWORD	`noisy, notso, finished, traditional, bongard`
	CONCEPT	`convex_hull (info \| search),` `equilateral_triangle (info \| search),` `triangle (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

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