The On-Line Encyclopedia of Bongard Problems

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Convex vs. concave.

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	COMMENTS	`All examples in this Problem are outlines of shapes or solid black shapes.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 215.`
	CROSSREFS	`BP136 is the same solution (flipped) but with only polygonal outlines and also with extraneous dots distracting from the solution.` `Adjacent-numbered pages: BP1 BP2 BP3 * BP5 BP6 BP7 BP8 BP9`
	KEYWORD	`easy, nice, precise, unstable, right-narrow, finished, traditional, bongard`
	CONCEPT	`concave_convex_angle (info \| search)`
	WORLD	`outline_or_fill_shape [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`

Convex central interior vs. concave central interior.

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	CROSSREFS	`Adjacent-numbered pages: BP169 BP170 BP171 BP172 BP173 * BP175 BP176 BP177 BP178 BP179`
	KEYWORD	`noisy, traditional`
	CONCEPT	`concave_convex_angle (info \| search)`
	AUTHOR	`Harry E. Foundalis`

All interiors are convex vs. at least one concave interior.

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	CROSSREFS	`Adjacent-numbered pages: BP172 BP173 BP174 BP175 BP176 * BP178 BP179 BP180 BP181 BP182`
	KEYWORD	`traditional`
	CONCEPT	`all (info \| search),` `concave_convex_angle (info \| search)`
	AUTHOR	`Harry E. Foundalis`

Concave if proximal border points are connected vs. convex if proximal border points are connected.

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	CROSSREFS	`Adjacent-numbered pages: BP177 BP178 BP179 BP180 BP181 * BP183 BP184 BP185 BP186 BP187`
	KEYWORD	`nice, traditional`
	CONCEPT	`concave_convex_angle (info \| search),` `near_far (info \| search)`
	AUTHOR	`Harry E. Foundalis`

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