The On-Line Encyclopedia of Bongard Problems

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BP882

Vaguely positive vs. vaguely negative

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	COMMENTS	`Requires cultural knowledge, e.g. for specific warning symbols`
	CROSSREFS	`Adjacent-numbered pages: BP877 BP878 BP879 BP880 BP881 * BP883 BP884 BP885 BP886 BP887`
	KEYWORD	`easy, less, abstract, spectrum, anticomputer, subjective, culture, invalid`
	AUTHOR	`Thomas Joyce`

BP939

Optical illusions vs. not so.

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	COMMENTS	`Panels on the left hand side contain geometrical objects that appear distorted (to a human) due to surrounding information.`
	REFERENCE	`Vicente Sierra-Vázquez & Ignacio Serrano-Pedraza, Application of Riesz transforms to the isotropic AM-PM decomposition of geometrical-optical illusion images, April 2010, Figure 1.`
	CROSSREFS	`Adjacent-numbered pages: BP934 BP935 BP936 BP937 BP938 * BP940 BP941 BP942 BP943 BP944`
	KEYWORD	`fuzzy, anticomputer, subjective, contributepairs, invalid, experimental`
	CONCEPT	`length_line_or_curve (info \| search),` `visual_illusion (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1002

Vaguely self-similar (looks like self-similar fractal after one iteration) vs. not so.

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	CROSSREFS	`See BP1004 for a Problem about conceptual self-similarity instead of visual self-similarity.` `See BP188 for a similar Problem restricted to shape outlines made of shape outlines.` `Adjacent-numbered pages: BP997 BP998 BP999 BP1000 BP1001 * BP1003 BP1004 BP1005 BP1006 BP1007`
	KEYWORD	`easy, nice, fuzzy, abstract, anticomputer, concept, traditional`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search),` `similar_shape (info \| search),` `similar (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1004

The whole satisfies the same rule as its parts vs. not so.

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	COMMENTS	`The "whole" is the entire panel including the bounding box. A "part" is some region either stylistically different or amply separated in space from everything else. Smaller parts-within-parts don't count as parts.` `Rhetorical question: Where would the collection of left examples of this Bongard Problem be sorted by this Bongard Problem? (The question is whether these examples considered together satisfy the pattern that all the parts do, namely that the whole satisfies the pattern that all the parts do.)` `See BP793 and BP999 for similar paradoxes.`
	CROSSREFS	`See BP1006 for the version about numerical properties where each part is a cluster of dots; examples in that BP would be sorted the same way here that they are there.` `See BP999 and BP1003 for versions where each object is itself a collection of objects, so that the focus is on rules specifically pertaining to collections (e.g. "all the objects are different").` `See BP1002 for a Bongard Problem about only visual self-similarity instead of conceptual self-similarity.` `The rule shown in each panel is "narrow" (see BP513^left and BP514^left).` `Adjacent-numbered pages: BP999 BP1000 BP1001 BP1002 BP1003 * BP1005 BP1006 BP1007 BP1008 BP1009`
	KEYWORD	`nice, abstract, anticomputer, creativeexamples, left-narrow, rules, miniworlds`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1092

Has element-wise 180 degree rotational symmetry vs. does not.

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	CROSSREFS	`Adjacent-numbered pages: BP1087 BP1088 BP1089 BP1090 BP1091 * BP1093 BP1094 BP1095 BP1096 BP1097`
	KEYWORD	`nice, anticomputer`
	CONCEPT	`element_wise_symmetry (info \| search),` `rotational_symmetry (info \| search)`
	AUTHOR	`William B Holland`

BP1110

The process that turns one object into the other is the same both ways vs. the process changes depending on which object is chosen as the starting point.

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	REFERENCE	`https://en.wikipedia.org/wiki/Duality_(mathematics)` `https://en.wikipedia.org/wiki/Involution_(mathematics)`
	CROSSREFS	`This is a special case of BP841 and a generalisation of BP822.` `Adjacent-numbered pages: BP1105 BP1106 BP1107 BP1108 BP1109 * BP1111 BP1112 BP1113 BP1114 BP1115`
	KEYWORD	`nice, abstract, math, anticomputer, creativeexamples, left-narrow, unorderedpair, rules, miniworlds, dithering`
	CONCEPT	`function (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1260

Same transformation applied to circle, triangle, and square vs. different transformations applied.

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	CROSSREFS	`BP839 is about applying opposite transformations to a single object.` `Adjacent-numbered pages: BP1255 BP1256 BP1257 BP1258 BP1259 * BP1261 BP1262 BP1263 BP1264 BP1265`
	KEYWORD	`easy, nice, abstract, arbitrary, anticomputer, left-null, structure, orderedtriplet, traditional, rules`
	CONCEPT	`circle (info \| search),` `analogy (info \| search),` `square (info \| search),` `same (info \| search),` `triangle (info \| search),` `function (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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