The On-Line Encyclopedia of Bongard Problems

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The sum of vertices, line ends, and dots is 7 vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP225 BP226 BP227 BP228 BP229 * BP231 BP232 BP233 BP234 BP235`
	KEYWORD	`arbitrary, traditional`
	CONCEPT	`addition (info \| search),` `line_or_curve_endpoint (info \| search),` `dot (info \| search),` `vertex_of_meeting_lines (info \| search)`
	AUTHOR	`Giuseppe Insana`

Lines plus triangles equal stars vs. lines minus triangles equal stars.

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	CROSSREFS	`Adjacent-numbered pages: BP228 BP229 BP230 BP231 BP232 * BP234 BP235 BP236 BP237 BP238`
	KEYWORD	`traditional`
	CONCEPT	`addition (info \| search),` `number (info \| search)`
	AUTHOR	`Peter Shanahan`

The sum of the ratios of the filled areas is 1 vs. the sum of the ratios of the filled areas is other than 1.

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	CROSSREFS	`Adjacent-numbered pages: BP283 BP284 BP285 BP286 BP287 * BP289 BP290 BP291 BP292 BP293`
	KEYWORD	`nice, notso, traditional`
	CONCEPT	`addition (info \| search),` `outlined_filled (info \| search),` `ratio (info \| search),` `texture (info \| search)`
	AUTHOR	`"Lewis"`

Adding the top two waves yields the bottom wave vs. not so.

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	COMMENTS	`This problem is about wave interference.`
	CROSSREFS	`Adjacent-numbered pages: BP376 BP377 BP378 BP379 BP380 * BP382 BP383 BP384 BP385 BP386`
	KEYWORD	`nice, notso, math, orderedtriplet, traditional`
	CONCEPT	`addition (info \| search),` `wave (info \| search),` `2_inputs_1_output (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

The leftmost two add (as vectors) to the right versus no two add to a third.

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	CROSSREFS	`Adjacent-numbered pages: BP785 BP786 BP787 BP788 BP789 * BP791 BP792 BP793 BP794 BP795`
	KEYWORD	`math, structure, orderedtriplet, traditional`
	CONCEPT	`addition (info \| search),` `2_inputs_1_output (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

The leftmost two angles measured from thin line add to the rightmost versus no two angles add to a third.

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	COMMENTS	`This answer is independent of whether angles are measured clockwise or counter-clockwise; only a consistent choice must be made.`
	CROSSREFS	`Adjacent-numbered pages: BP786 BP787 BP788 BP789 BP790 * BP792 BP793 BP794 BP795 BP796`
	KEYWORD	`math, structure, orderedtriplet, traditional`
	CONCEPT	`addition (info \| search),` `2_inputs_1_output (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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