The On-Line Encyclopedia of Bongard Problems

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BP292

Angle made by shapes with vertex at square is not acute vs. angle made by shapes with vertex at square is acute.

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	CROSSREFS	`Adjacent-numbered pages: BP287 BP288 BP289 BP290 BP291 * BP293 BP294 BP295 BP296 BP297`
	KEYWORD	`precise, spectrum, traditional, preciseworld`
	CONCEPT	`acute (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`"Lewis"`

BP528

Highly iterated fractal vs. fractal after only few iterations.

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	CROSSREFS	`Adjacent-numbered pages: BP523 BP524 BP525 BP526 BP527 * BP529 BP530 BP531 BP532 BP533`
	KEYWORD	`world, contributepairs`
	CONCEPT	`fractal (info \| search)`
	WORLD	`zoom in left (fractal)`
	AUTHOR	`Aaron David Fairbanks`

BP269

Center of symmetry vs. no center of symmetry.

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	CROSSREFS	`Adjacent-numbered pages: BP264 BP265 BP266 BP267 BP268 * BP270 BP271 BP272 BP273 BP274`
	CONCEPT	`symmetry (info \| search)`
	WORLD	`arial_font_centered_connected_symbol [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

BP891

Dots can be connected to create one triangle within another vs. not so.

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	COMMENTS	`Or equivalently, "3 dots within boundary of convex hull vs. not so". - Leo Crabbe, Aug 01 2020`
	CROSSREFS	`Adjacent-numbered pages: BP886 BP887 BP888 BP889 BP890 * BP892 BP893 BP894 BP895 BP896`
	KEYWORD	`nice, precise, allsorted, preciseworld`
	CONCEPT	`convex_hull (info \| search),` `triangle (info \| search)`
	WORLD	`6_dots [smaller \| same \| bigger]`
	AUTHOR	`Cameron Fetter`

BP295

Line joins large and small square vs. line joins the two middle-sized squares.

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	CROSSREFS	`Adjacent-numbered pages: BP290 BP291 BP292 BP293 BP294 * BP296 BP297 BP298 BP299 BP300`
	KEYWORD	`traditional`
	CONCEPT	`correspondence (info \| search),` `size (info \| search)`
	AUTHOR	`"Lewis"`

BP161

Midpoints are collinear vs. midpoints are not collinear.

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	CROSSREFS	`Adjacent-numbered pages: BP156 BP157 BP158 BP159 BP160 * BP162 BP163 BP164 BP165 BP166`
	KEYWORD	`nice, unorderedtriplet, traditional`
	CONCEPT	`all (info \| search),` `collinear (info \| search),` `midpoint (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Harry E. Foundalis`

BP811

Archimedean tiling (regular polygons, all vertices look the same) versus two-uniform tiling (regular polygons, two different kinds of vertex).

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	CROSSREFS	`Adjacent-numbered pages: BP806 BP807 BP808 BP809 BP810 * BP812 BP813 BP814 BP815 BP816`
	KEYWORD	`nice, math`
	CONCEPT	`infinite_plane (info \| search),` `tiling (info \| search),` `symmetry (info \| search)`
	WORLD	`wallpaper_tiling [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP899

Regions in drawing (ignore background) can be coloured using three or fewer colours such that no adjacent regions are coloured the same colour vs. four colours are required.

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	COMMENTS	`This Problem is related to the four colour theorem.`
	CROSSREFS	`Adjacent-numbered pages: BP894 BP895 BP896 BP897 BP898 * BP900 BP901 BP902 BP903 BP904`
	KEYWORD	`hard, nice, math`
	CONCEPT	`separated_regions (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

BP206

Curve ends in a roughly up or down direction vs. curve ends in a roughly left or right direction.

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	CROSSREFS	`Adjacent-numbered pages: BP201 BP202 BP203 BP204 BP205 * BP207 BP208 BP209 BP210 BP211`
	KEYWORD	`traditional`
	CONCEPT	`downward_upward (info \| search),` `slope_at_endpoint (info \| search),` `line_or_curve_endpoint (info \| search),` `horizontal (info \| search),` `leftward_rightward (info \| search),` `tangent_absolute_direction (info \| search),` `absolute_direction (info \| search),` `vertical (info \| search),` `direction (info \| search)`
	AUTHOR	`Giuseppe Insana`

BP2

Big vs. small.

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	COMMENTS	`The meaning of "big" left intentionally vague. There are various specific ways to define size, such as diameter, minimum distance between points on edge, and size of smallest bounding circle.` `All examples in this Bongard Problem are single simple shapes, either outlines or solid black.` `All examples on the same side are approximately the same size.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 214.`
	CROSSREFS	`Adjacent-numbered pages: BP1 * BP3 BP4 BP5 BP6 BP7`
	KEYWORD	`easy, nice, fuzzy, spectrum, size, stable, finished, traditional, continuous, bongard`
	CONCEPT	`size (info \| search)`
	WORLD	`outline_or_fill_shape [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

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