The On-Line Encyclopedia of Bongard Problems

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Is polygon vs. is smooth without straight lines or corners.

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	COMMENTS	`All examples in this Bongard Problem are outlines of shapes.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 215.`
	CROSSREFS	`Adjacent-numbered pages: BP1 BP2 BP3 BP4 * BP6 BP7 BP8 BP9 BP10`
	KEYWORD	`easy, nice, ignoreimperfections, finished, traditional, bongard`
	CONCEPT	`curved_straight (info \| search)`
	WORLD	`shape_outline [smaller \| same \| bigger] zoom in left (polygon_outline)`
	AUTHOR	`Mikhail M. Bongard`

Triangle vs. quadrilateral.

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	COMMENTS	`All examples in this Problem are outlines of polygons or solid black polygons.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 215.`
	CROSSREFS	`BP1211 is "triangle vs. anything else".` `Adjacent-numbered pages: BP1 BP2 BP3 BP4 BP5 * BP7 BP8 BP9 BP10 BP11`
	KEYWORD	`easy, nice, precise, number, ignoreimperfections, finished, traditional, preciseworld, bongard`
	CONCEPT	`number (info \| search),` `triangle (info \| search),` `three (info \| search),` `four (info \| search)`
	WORLD	`Multiple options: polygon_outline_or_fill [smaller \| same \| bigger], triangle_or_quadrilateral_outline_or_fill [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Ends of the curve are parallel vs. ends of the curve are perpendicular.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 237.`
	CROSSREFS	`Adjacent-numbered pages: BP67 BP68 BP69 BP70 BP71 * BP73 BP74 BP75 BP76 BP77`
	KEYWORD	`nice, precise, unstable, ignoreimperfections, finished, traditional, bongard`
	CONCEPT	`slope_at_endpoint (info \| search),` `tracing_line_or_curve (info \| search),` `parallel (info \| search),` `perpendicular (info \| search)`
	WORLD	`curve [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Three identical elements vs. four identical elements.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 244.`
	CROSSREFS	`BP1226 is "three identical elements vs. other number of identical elements".` `Adjacent-numbered pages: BP86 BP87 BP88 BP89 BP90 * BP92 BP93 BP94 BP95 BP96`
	KEYWORD	`number, ignoreimperfections, finished, traditional, bongard`
	CONCEPT	`indentation (info \| search),` `on_line_or_curve (info \| search),` `number (info \| search),` `protrusion (info \| search),` `separation_of_joined_objects (info \| search),` `same (info \| search),` `three (info \| search),` `four (info \| search)`
	WORLD	`curves_and_fill_shapes_drawing [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Concave shape vs. convex shape.

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	CROSSREFS	`BP4 is the same solution (flipped) but without the distracting dots (and also with some shapes filled in black and/or curvy instead of just polygon outlines).` `Adjacent-numbered pages: BP131 BP132 BP133 BP134 BP135 * BP137 BP138 BP139 BP140 BP141`
	KEYWORD	`noisy, ignoreimperfections, traditional`
	CONCEPT	`concave_convex_angle (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

A little less than a regular shape vs. a little more than a regular shape.

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	CROSSREFS	`Adjacent-numbered pages: BP143 BP144 BP145 BP146 BP147 * BP149 BP150 BP151 BP152 BP153`
	KEYWORD	`fuzzy, ignoreimperfections, traditional`
	CONCEPT	`imperfection_small (info \| search),` `missing_part (info \| search),` `extra_part (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

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