The On-Line Encyclopedia of Bongard Problems

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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`

BP336

Any one gear turns all vs. no gear turns all.

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	CROSSREFS	`See BP536 for all gears can turn.` `Adjacent-numbered pages: BP331 BP332 BP333 BP334 BP335 * BP337 BP338 BP339 BP340 BP341`
	KEYWORD	`nice, stretch, physics, traditional`
	CONCEPT	`all (info \| search),` `turn_orientation (info \| search),` `every_other (info \| search),` `gear (info \| search),` `on_line_or_curve (info \| search),` `tracing_line_or_curve (info \| search),` `imagined_motion (info \| search),` `motion (info \| search)`
	WORLD	`gears [smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Aaron David Fairbanks`

BP337

Black is below upward slopes vs. black is below downward slopes.

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	CROSSREFS	`Adjacent-numbered pages: BP332 BP333 BP334 BP335 BP336 * BP338 BP339 BP340 BP341 BP342`
	KEYWORD	`nice, dual, handed, leftright, updown, blackwhite, traditional`
	CONCEPT	`above_below (info \| search),` `downward_upward (info \| search),` `outlined_filled (info \| search),` `texture (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP338

High approximate similarity vs. lower approximate similarity.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP333 BP334 BP335 BP336 BP337 * BP339 BP340 BP341 BP342 BP343`
	KEYWORD	`spectrum, traditional, continuous`
	CONCEPT	`imperfection_small (info \| search),` `same_shape (info \| search),` `same (info \| search),` `similar_shape (info \| search),` `similar (info \| search)`
	WORLD	`two_shapes [smaller \| same \| bigger]`
	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.

(edit; present; nest [left/right]; search; history)

	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`

BP341

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

(edit; present; nest [left/right]; search; history)

	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`

BP342

Exactly one axis of symmetry vs. either zero or more than one axis of symmetry.

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	CROSSREFS	`Adjacent-numbered pages: BP337 BP338 BP339 BP340 BP341 * BP343 BP344 BP345 BP346 BP347`
	KEYWORD	`traditional, finishedexamples`
	CONCEPT	`exists_one (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `symmetry_axis (info \| search),` `symmetry (info \| search)`
	WORLD	`shape_outline [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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