The On-Line Encyclopedia of Bongard Problems

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Connected fractal vs. disconnected fractal.

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	CROSSREFS	`Adjacent-numbered pages: BP1232 BP1233 BP1234 BP1235 BP1236 * BP1238 BP1239 BP1240 BP1241 BP1242`
	KEYWORD	`notso, perfect, infinitedetail`
	CONCEPT	`connected_component (info \| search),` `fractal (info \| search)`
	WORLD	`fractal_self_tile [smaller \| same \| bigger] zoom in left (connected_fractal_self_tile)`
	AUTHOR	`Jago Collins`

BP172

Rotationally symmetric vs. not.

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	COMMENTS	`The rotational symmetry axis is about the center of the object, not the bounding box. Positioning within the bounding box is noise.`
	CROSSREFS	`Adjacent-numbered pages: BP167 BP168 BP169 BP170 BP171 * BP173 BP174 BP175 BP176 BP177`
	KEYWORD	`traditional`
	CONCEPT	`rotational_symmetry (info \| search),` `symmetry (info \| search)`
	AUTHOR	`Harry E. Foundalis`

BP65

A set of triangles elongated horizontally vs. a set of triangles elongated vertically.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 235.`
	CROSSREFS	`Adjacent-numbered pages: BP60 BP61 BP62 BP63 BP64 * BP66 BP67 BP68 BP69 BP70`
	KEYWORD	`noisy, spectrum, rotate, finished, traditional, viceversa, bongard`
	CONCEPT	`convex_hull (info \| search),` `elongated_compact (info \| search),` `horizontal (info \| search),` `cluster (info \| search),` `similar_feature (info \| search),` `similar (info \| search),` `vertical (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP1003

The combined collection obeys the same rule as the sub-collections vs. not so.

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	COMMENTS	`Since it is most intuitive to imagine spatially squishing together all the collections in the process of combining them into one big collection, avoid rules that involve relative spatial positionings of objects.`
	CROSSREFS	`Contrast BP999, which is very similar. There, when considering the whole picture, the collections are to be treated as individual objects; here, when considering the whole picture, the collections are to be combined into one big collection. A picture showing (for example) an odd number of even-numbered groups would be sorted differently by these two BPs.` `Also contrast BP1004, which is about a collection of plain objects obeying the same rule as all the objects (instead of a collection of [collections of objects] obeying the same rule as all the [collections of objects]).` `See BP1006 for the version with only number-based properties. All panels in that Bongard Problem fit the same way in this Bongard Problem as well.` `Adjacent-numbered pages: BP998 BP999 BP1000 BP1001 BP1002 * BP1004 BP1005 BP1006 BP1007 BP1008`
	KEYWORD	`nice, abstract, notso, creativeexamples, rules, miniworlds`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe, Aaron David Fairbanks`

BP1138

Each attribute is shared by every group or none vs. some attribute is shared by exactly two groups

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	COMMENTS	`Attributes are shading, shape, and number.` `There are always three groups.` `This problem is related to the card game Set.`
	CROSSREFS	`Adjacent-numbered pages: BP1133 BP1134 BP1135 BP1136 BP1137 * BP1139 BP1140 BP1141 BP1142 BP1143`
	KEYWORD	`nice, precise, allsorted, notso, preciseworld`
	CONCEPT	`all (info \| search),` `number (info \| search),` `same (info \| search),` `two (info \| search),` `three (info \| search)`
	AUTHOR	`William B Holland`

BP146

A shape contains a square if and only if it is a circle vs. a shape contains a square if and only if it is a triangle.

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	CROSSREFS	`Adjacent-numbered pages: BP141 BP142 BP143 BP144 BP145 * BP147 BP148 BP149 BP150 BP151`
	KEYWORD	`traditional`
	CONCEPT	`iff (info \| search),` `inside (info \| search),` `triangle (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP904

Rows show all possible ways a certain number of dots can be divided between a certain number of bins vs. not so.

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	COMMENTS	`The rows in the panels on the right hand side show all the ways you can divide a certain number of dots between a certain number of bins, ignoring which bins they are placed in.`
	CROSSREFS	`Adjacent-numbered pages: BP899 BP900 BP901 BP902 BP903 * BP905 BP906 BP907 BP908 BP909`
	KEYWORD	`solved, left-null, grid, left-listable, right-listable`
	CONCEPT	`permutation (info \| search)`
	AUTHOR	`Molly C Klenzak`

BP13

Tall rectangle OR wide ellipse vs. wide rectangle OR tall ellipse.

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	COMMENTS	`All examples in this Bongard Problem are outlines of ellipses or rectangles aligned to the x-y-axes.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 218.`
	CROSSREFS	`Adjacent-numbered pages: BP8 BP9 BP10 BP11 BP12 * BP14 BP15 BP16 BP17 BP18`
	KEYWORD	`precise, stretch, finished, traditional, preciseworld, bongard`
	CONCEPT	`or (info \| search),` `horizontal (info \| search),` `line_slope (info \| search),` `vertical (info \| search)`
	WORLD	`rectangle_or_ellipse_outline_axis_aligned [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP375

Representationally uniform vs. representationally non-uniform.

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	CROSSREFS	`Adjacent-numbered pages: BP370 BP371 BP372 BP373 BP374 * BP376 BP377 BP378 BP379 BP380`
	KEYWORD	`nice, traditional`
	CONCEPT	`simplicity (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP310

Enclosed square repelled by the outside squares, closest to the side of the enclosing square thats farthest from the common center of the outside squares. vs. enclosed square attracted by the outside squares, closest to the side of the enclosing square thats closest to the common center of the outside squares..

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	CROSSREFS	`Adjacent-numbered pages: BP305 BP306 BP307 BP308 BP309 * BP311 BP312 BP313 BP314 BP315`
	KEYWORD	`traditional`
	CONCEPT	`cluster_barycenter (info \| search),` `inside (info \| search),` `interior_exterior (info \| search),` `near_far (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`"Lewis"`

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