The On-Line Encyclopedia of Bongard Problems

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BP250

Tetrahedron projected on the box plane vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP245 BP246 BP247 BP248 BP249 * BP251 BP252 BP253 BP254 BP255`
	KEYWORD	`stretch, traditional, left-couldbe`
	CONCEPT	`number (info \| search),` `3d_solid (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Andreas Gunnarsson`

BP24

A circle vs. no circle.

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	COMMENTS	`All small squares appearing in this problem are axis-aligned.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 221.`
	CROSSREFS	`Adjacent-numbered pages: BP19 BP20 BP21 BP22 BP23 * BP25 BP26 BP27 BP28 BP29`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`circle (info \| search),` `existence (info \| search)`
	WORLD	`circle_square_eq-tri_small_outlines [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP1118

Self-similar only scaled about one point vs. multiple centers of self-similarity.

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	COMMENTS	`There is only ever one such center of self-similarity or infinitely many.`
	CROSSREFS	`Adjacent-numbered pages: BP1113 BP1114 BP1115 BP1116 BP1117 * BP1119 BP1120 BP1121 BP1122 BP1123`
	KEYWORD	`nice, perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1210

Vertical, horizontal, and both diagonal axes of symmetry vs. not (more specifically, one or fewer axes of symmetry).

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	CROSSREFS	`Adjacent-numbered pages: BP1205 BP1206 BP1207 BP1208 BP1209 * BP1211 BP1212 BP1213 BP1214 BP1215`
	KEYWORD	`stub, left-narrow, traditional, blackwhiteinvariant`
	CONCEPT	`symmetry_axis (info \| search),` `symmetry (info \| search),` `four (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP192

Elongated vertically vs. elongated horizontally.

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	CROSSREFS	`Adjacent-numbered pages: BP187 BP188 BP189 BP190 BP191 * BP193 BP194 BP195 BP196 BP197`
	KEYWORD	`nice, noisy, traditional`
	CONCEPT	`convex_hull (info \| search),` `elongated_compact (info \| search),` `horizontal (info \| search),` `vertical (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP1050

One color is multiple of the other vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1045 BP1046 BP1047 BP1048 BP1049 * BP1051 BP1052 BP1053 BP1054 BP1055`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP262

Exactly one point where lines bend at an angle vs. not exactly one point where lines bend at an angle.

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	CROSSREFS	`Adjacent-numbered pages: BP257 BP258 BP259 BP260 BP261 * BP263 BP264 BP265 BP266 BP267`
	KEYWORD	`less, convoluted, traditional`
	CONCEPT	`angle (info \| search),` `number (info \| search)`
	AUTHOR	`Pablo Barenbaum`

BP299

Lines if slightly extended make up a regular polygon vs. lines if slightly extended cannot make up a regular polygon.

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	CROSSREFS	`Adjacent-numbered pages: BP294 BP295 BP296 BP297 BP298 * BP300 BP301 BP302 BP303 BP304`
	KEYWORD	`traditional`
	CONCEPT	`imperfection_small (info \| search)`
	WORLD	`segments [smaller \| same \| bigger]`
	AUTHOR	`"Lewis"`

BP917

Reversible transformations vs. non-reversible transformations.

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	COMMENTS	`All examples depict a process that transforms one object into another (two example input-output pairs are provided in every panel). In left-sorted examples, each input corresponds to a unique output, whereas in right-sorted examples, different inputs could potentially lead to the same output. There is a sense in which all the processes described on the right "lose" some amount of the input's information.`
	REFERENCE	`https://en.wikipedia.org/wiki/Injective_function`
	CROSSREFS	`Adjacent-numbered pages: BP912 BP913 BP914 BP915 BP916 * BP918 BP919 BP920 BP921 BP922`
	KEYWORD	`nice, abstract, creativeexamples, structure, rules, miniworlds`
	CONCEPT	`convey_enough_information (info \| search),` `function (info \| search)`
	AUTHOR	`Leo Crabbe`

BP925

The numbers of dots differ by three vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP920 BP921 BP922 BP923 BP924 * BP926 BP927 BP928 BP929 BP930`
	KEYWORD	`math, unorderedpair, traditional`
	CONCEPT	`subtraction (info \| search),` `number (info \| search),` `dot (info \| search),` `three (info \| search)`
	WORLD	`two_dot_clusters [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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