The On-Line Encyclopedia of Bongard Problems

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There exists an edge such that removing it yields two disconnected graphs (i.e., the minimum number of edges whose removal results in two disconnected graphs is 1) vs. the minimum number of edges whose removal results in two disconnected graphs is 2.

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	CROSSREFS	`Adjacent-numbered pages: BP386 BP387 BP388 BP389 BP390 * BP392 BP393 BP394 BP395 BP396`
	KEYWORD	`nice, precise, traditional, preciseworld`
	CONCEPT	`graph (info \| search),` `distinguishing_crossing_curves (info \| search),` `existence (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search)`
	WORLD	`connected_graph [smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

BP371

Net (folding along edges can make a 3D solid) vs. not a net.

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	CROSSREFS	`Adjacent-numbered pages: BP366 BP367 BP368 BP369 BP370 * BP372 BP373 BP374 BP375 BP376`
	KEYWORD	`math`
	CONCEPT	`3d_net (info \| search),` `3d_solid (info \| search)`
	WORLD	`polygon_outlines_sharing_edges [smaller \| same \| bigger] zoom in left (polyhedron_net)`
	AUTHOR	`Aaron David Fairbanks`

BP1238

Fractal with hole vs. fractal with no hole (simply connected).

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	CROSSREFS	`Adjacent-numbered pages: BP1233 BP1234 BP1235 BP1236 BP1237 * BP1239 BP1240 BP1241 BP1242 BP1243`
	KEYWORD	`notso, perfect, infinitedetail`
	CONCEPT	`closed_open (info \| search),` `existence (info \| search),` `fractal (info \| search),` `hole (info \| search),` `loop (info \| search)`
	WORLD	`connected_fractal_self_tile [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP204

Five vs. four.

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	CROSSREFS	`Adjacent-numbered pages: BP199 BP200 BP201 BP202 BP203 * BP205 BP206 BP207 BP208 BP209`
	KEYWORD	`noisy, number, traditional`
	CONCEPT	`number (info \| search)`
	AUTHOR	`Giuseppe Insana`

BP1011

Polygon can be inscribed in a circle vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1006 BP1007 BP1008 BP1009 BP1010 * BP1012 BP1013 BP1014 BP1015 BP1016`
	KEYWORD	`hard, precise, stretch, challenge, left-narrow, perfect, preciseworld`
	CONCEPT	`circle (info \| search),` `imagined_entity (info \| search)`
	WORLD	`fill_polygon [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP1108

Solid chunk of black space in neighborhood of any point of the fractal vs. solid chunk of white space in any neighborhood.

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	CROSSREFS	`Adjacent-numbered pages: BP1103 BP1104 BP1105 BP1106 BP1107 * BP1109 BP1110 BP1111 BP1112 BP1113`
	KEYWORD	`right-null, perfect, infinitedetail, assumesfamiliarity, neither`
	CONCEPT	`topological_density (info \| search),` `fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`fractal [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP59

Figures are similar vs. figures are not similar.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 233.`
	CROSSREFS	`Adjacent-numbered pages: BP54 BP55 BP56 BP57 BP58 * BP60 BP61 BP62 BP63 BP64`
	KEYWORD	`nice, finished, unorderedpair, traditional, bongard`
	CONCEPT	`similar_shape (info \| search),` `similar (info \| search)`
	WORLD	`two_outlines [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP558

Point sequence that is increasing or decreasing in height vs. point sequence that alternates in height

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	COMMENTS	`All examples in this Problem are groups of 3 dots.` `Any example where 2 adjacent dots have the same height would be ambiguously sorted.`
	CROSSREFS	`Adjacent-numbered pages: BP553 BP554 BP555 BP556 BP557 * BP559 BP560 BP561 BP562 BP563`
	EXAMPLE	`Reading from right to left in the first box on the left hand side: the 2nd dot is higher than the 1st, and the 3rd is higher than the 2nd, so the sequence of dots is strictly increasing in height.`
	KEYWORD	`nice, precise, antihuman, orderedtriplet, preciseworld`
	CONCEPT	`coordinate (info \| search)`
	WORLD	`three_points [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP1045

More of some color vs. half and half.

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	CROSSREFS	`Adjacent-numbered pages: BP1040 BP1041 BP1042 BP1043 BP1044 * BP1046 BP1047 BP1048 BP1049 BP1050`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP357

Decelerating change in quantity, left-to-right vs. accelerating change in quantity, left-to-right.

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	CROSSREFS	`Adjacent-numbered pages: BP352 BP353 BP354 BP355 BP356 * BP358 BP359 BP360 BP361 BP362`
	KEYWORD	`dual, leftright, creativeexamples, structure, traditional, rules, miniworlds`
	CONCEPT	`acceleration (info \| search),` `size_increase_decrease (info \| search),` `tracing_line_or_curve (info \| search)`
	WORLD	`quantity_change_seq_increase_right [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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