The On-Line Encyclopedia of Bongard Problems

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BP13

Tall rectangle OR wide ellipse vs. wide rectangle OR tall ellipse.

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	COMMENTS	`All examples in this Bongard Problem are outlines of ellipses or rectangles aligned to the x-y-axes.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 218.`
	CROSSREFS	`Adjacent-numbered pages: BP8 BP9 BP10 BP11 BP12 * BP14 BP15 BP16 BP17 BP18`
	KEYWORD	`precise, stretch, finished, traditional, preciseworld, bongard`
	CONCEPT	`or (info \| search),` `horizontal (info \| search),` `line_slope (info \| search),` `vertical (info \| search)`
	WORLD	`rectangle_or_ellipse_outline_axis_aligned [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP260

Squares are either all empty or all contain something vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP255 BP256 BP257 BP258 BP259 * BP261 BP262 BP263 BP264 BP265`
	KEYWORD	`traditional`
	CONCEPT	`all (info \| search),` `or (info \| search),` `empty (info \| search)`
	AUTHOR	`Carla Rispoli`

BP266

At least one touch or cross point vs. no touch or cross point.

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	CROSSREFS	`Adjacent-numbered pages: BP261 BP262 BP263 BP264 BP265 * BP267 BP268 BP269 BP270 BP271`
	CONCEPT	`x-crossing (info \| search),` `or (info \| search),` `existence (info \| search),` `t-point (info \| search)`
	WORLD	`arial_font_centered_symbol [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

BP270

Only vertical or horizontal lines vs. neither vertical nor horizontal lines.

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	CROSSREFS	`Adjacent-numbered pages: BP265 BP266 BP267 BP268 BP269 * BP271 BP272 BP273 BP274 BP275`
	CONCEPT	`or (info \| search),` `horizontal (info \| search),` `vertical (info \| search)`
	WORLD	`arial_font_centered_connected_symbol [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

BP341

Strictly increasing or strictly decreasing border line vs. both increasing and decreasing border line.

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	CROSSREFS	`Adjacent-numbered pages: BP336 BP337 BP338 BP339 BP340 * BP342 BP343 BP344 BP345 BP346`
	KEYWORD	`math, perfect, pixelperfect, traditional`
	CONCEPT	`size_increase_decrease (info \| search),` `or (info \| search),` `outlined_filled (info \| search),` `tracing_line_or_curve (info \| search),` `texture (info \| search)`
	WORLD	`function_graph_black_below_white_above [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1129

An oval is sorted left; shapes are sorted left when they can be built out of others sorted left by A) joining side by side (at a point) or B) joining one on top of the other (joining one's entire bottom edge to the other's entire top edge).

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	COMMENTS	`This was an unintended solution for BP1130.` `In category theory lingo, left examples are built by repeated horizontal composition and vertical composition. (Making horizontal lines as 0-ary vertical compositions is here forbidden.)`
	CROSSREFS	`Anything fitting right in BP1130 fits right here.` `Adjacent-numbered pages: BP1124 BP1125 BP1126 BP1127 BP1128 * BP1130 BP1131 BP1132 BP1133 BP1134`
	KEYWORD	`hard, less, convoluted, solved, inductivedefinition`
	CONCEPT	`or (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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