The On-Line Encyclopedia of Bongard Problems

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BP171

Angle bisectors meet at the incenter vs. perpendicular bisectors meet at the orthocenter.

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	CROSSREFS	`Adjacent-numbered pages: BP166 BP167 BP168 BP169 BP170 * BP172 BP173 BP174 BP175 BP176`
	KEYWORD	`nice, math, traditional`
	CONCEPT	`triangle_incenter (info \| search),` `triangle_orthocenter (info \| search),` `triangle (info \| search)`
	AUTHOR	`Harry E. Foundalis`

BP203

Prime number vs. composite number.

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	CROSSREFS	`Adjacent-numbered pages: BP198 BP199 BP200 BP201 BP202 * BP204 BP205 BP206 BP207 BP208`
	KEYWORD	`noisy, number, math`
	CONCEPT	`prime (info \| search)`
	AUTHOR	`Giuseppe Insana`

BP319

The number of dots in one cluster is a multiple of the other vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP314 BP315 BP316 BP317 BP318 * BP320 BP321 BP322 BP323 BP324`
	KEYWORD	`math, traditional`
	CONCEPT	`multiple_of (info \| search),` `number (info \| search),` `dot (info \| search),` `proportional (info \| search)`
	WORLD	`two_dot_clusters [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP326

Straight line tangent to circle vs. straight line not tangent to circle.

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	CROSSREFS	`Adjacent-numbered pages: BP321 BP322 BP323 BP324 BP325 * BP327 BP328 BP329 BP330 BP331`
	KEYWORD	`math, traditional`
	CONCEPT	`tangent (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP327

Straight line tangent to curve vs. straight line not tangent to curve.

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	CROSSREFS	`Adjacent-numbered pages: BP322 BP323 BP324 BP325 BP326 * BP328 BP329 BP330 BP331 BP332`
	KEYWORD	`math, traditional`
	CONCEPT	`tangent (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP333

Drawing of platonic solid (regular polyhedron) vs. drawing of non-platonic solid.

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	CROSSREFS	`Adjacent-numbered pages: BP328 BP329 BP330 BP331 BP332 * BP334 BP335 BP336 BP337 BP338`
	KEYWORD	`stretch, math, 3d, traditional, left-couldbe`
	AUTHOR	`Aaron David Fairbanks`

BP334

Odd number of dots vs. even number of dots.

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	CROSSREFS	`See BP334 for a version of the same idea, but using arbitrary shapes instead of dots.` `Adjacent-numbered pages: BP329 BP330 BP331 BP332 BP333 * BP335 BP336 BP337 BP338 BP339`
	KEYWORD	`precise, allsorted, number, math, left-narrow, right-narrow, right-null, help, traditional, preciseworld`
	CONCEPT	`even_odd (info \| search)`
	WORLD	`dots [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP335

Tessellates the plane vs. does not tessellate the plane.

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	COMMENTS	`EX7152 is an example of a shape than can be stretched in such a way that it no longer tessellates the plane. This is a property that is only exhibited by shapes that tessellate with rotated copies of themselves. - Leo Crabbe, Mar 05 2021`
	CROSSREFS	`Adjacent-numbered pages: BP330 BP331 BP332 BP333 BP334 * BP336 BP337 BP338 BP339 BP340`
	KEYWORD	`nice, stretch, unstable, math, hardsort, creativeexamples, proofsrequired, perfect, pixelperfect, traditional`
	CONCEPT	`infinite_plane (info \| search),` `tessellation (info \| search),` `tiling (info \| search)`
	WORLD	`shape [smaller \| same \| bigger] zoom in left (fill_shape)`
	AUTHOR	`Aaron David Fairbanks`

BP339

Union of left sets is right set vs. intersection of left sets is right set.

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	CROSSREFS	`Adjacent-numbered pages: BP334 BP335 BP336 BP337 BP338 * BP340 BP341 BP342 BP343 BP344`
	KEYWORD	`math, structure, orderedtriplet, traditional, both, neither`
	CONCEPT	`set_intersection (info \| search),` `left_right (info \| search),` `set_union (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP340

Regular star polygon vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP335 BP336 BP337 BP338 BP339 * BP341 BP342 BP343 BP344 BP345`
	KEYWORD	`math, traditional`
	CONCEPT	`tracing_line_or_curve (info \| search),` `vertex_of_meeting_lines (info \| search),` `write_in_single_stroke (info \| search)`
	WORLD	`figure_made_of_segments [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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