The On-Line Encyclopedia of Bongard Problems

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BP863

Two shapes can tessellate the plane together vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP858 BP859 BP860 BP861 BP862 * BP864 BP865 BP866 BP867 BP868`
	KEYWORD	`nice, precise, allsorted, math, hardsort, creativeexamples, unorderedpair`
	CONCEPT	`infinite_plane (info \| search),` `tessellation (info \| search),` `tiling (info \| search)`
	WORLD	`2_shapes [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP1099

Considering only the ways they are connected, anything that can be said about a given node can be said about every other node vs. not so.

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	REFERENCE	`https://en.wikipedia.org/wiki/Vertex-transitive_graph`
	CROSSREFS	`Adjacent-numbered pages: BP1094 BP1095 BP1096 BP1097 BP1098 * BP1100 BP1101 BP1102 BP1103 BP1104`
	KEYWORD	`precise, allsorted, notso, math, preciseworld`
	CONCEPT	`graph (info \| search),` `distinguishing_crossing_curves (info \| search)`
	WORLD	`graph [smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

BP11

Thin and elongated vs. compact.

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	COMMENTS	`All examples in this Bongard Problem are shape outlines.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 217.`
	CROSSREFS	`Adjacent-numbered pages: BP6 BP7 BP8 BP9 BP10 * BP12 BP13 BP14 BP15 BP16`
	KEYWORD	`nice, fuzzy, spectrum, stretch, stable, world, finished, traditional, bongard`
	CONCEPT	`elongated_compact (info \| search)`
	WORLD	`shape_outline [smaller \| same \| bigger] zoom in left (elongated_outline)`
	AUTHOR	`Mikhail M. Bongard`

BP38

Triangle larger than circle vs. triangle smaller than circle.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 226.`
	CROSSREFS	`Adjacent-numbered pages: BP33 BP34 BP35 BP36 BP37 * BP39 BP40 BP41 BP42 BP43`
	KEYWORD	`spectrum, finished, orderedpair, traditional, continuous, viceversa, bongard`
	CONCEPT	`size (info \| search),` `triangle (info \| search),` `quantity_comparison (info \| search)`
	WORLD	`one_circle_outline_one_triangle_outline_nest [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

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`

BP389

Loops are entangled (in 3-D) vs. loops can be separated (in 3-D).

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	CROSSREFS	`Adjacent-numbered pages: BP384 BP385 BP386 BP387 BP388 * BP390 BP391 BP392 BP393 BP394`
	KEYWORD	`nice, precise, allsorted, contributepairs, traditional`
	CONCEPT	`knot (info \| search),` `topological_transformation (info \| search),` `imagined_motion (info \| search),` `motion (info \| search)`
	WORLD	`link_two_knots [smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

BP131

Dots are vertices of a parallelogram vs. dots are not vertices of a parallelogram.

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	CROSSREFS	`Adjacent-numbered pages: BP126 BP127 BP128 BP129 BP130 * BP132 BP133 BP134 BP135 BP136`
	KEYWORD	`noisy, traditional`
	CONCEPT	`existence (info \| search),` `length_line_or_curve (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP991

Can be arranged with multiple copies of itself to form some convex shape vs. not so.

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	CROSSREFS	`This is a generalization of BP820.` `Adjacent-numbered pages: BP986 BP987 BP988 BP989 BP990 * BP992 BP993 BP994 BP995 BP996`
	KEYWORD	`precise, allsorted, perfect`
	CONCEPT	`tiling (info \| search)`
	WORLD	`fill_shape [smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

BP259

Two identical overlapping objects of which the top is rotated slightly clockwise vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP254 BP255 BP256 BP257 BP258 * BP260 BP261 BP262 BP263 BP264`
	KEYWORD	`traditional`
	CONCEPT	`turn_orientation (info \| search),` `rotation_required (info \| search),` `objects_overlap (info \| search),` `overlap (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`Andreas Gunnarsson`

BP126

One large and one small object vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP121 BP122 BP123 BP124 BP125 * BP127 BP128 BP129 BP130 BP131`
	KEYWORD	`traditional`
	CONCEPT	`number (info \| search),` `separation_of_joined_objects (info \| search),` `size (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

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