The On-Line Encyclopedia of Bongard Problems

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BP87

Four parts vs. five parts.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 242.`
	CROSSREFS	`Adjacent-numbered pages: BP82 BP83 BP84 BP85 BP86 * BP88 BP89 BP90 BP91 BP92`
	KEYWORD	`number, finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `four (info \| search),` `five (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP37

Triangle above circle vs. circle above triangle.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 226.`
	CROSSREFS	`Adjacent-numbered pages: BP32 BP33 BP34 BP35 BP36 * BP38 BP39 BP40 BP41 BP42`
	KEYWORD	`noisy, spectrum, finished, traditional, continuous, viceversa, bongard`
	CONCEPT	`above_below (info \| search),` `triangle (info \| search),` `quantity_comparison (info \| search)`
	WORLD	`one_circle_one_square_one_eq-tri_small_outlines [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP1237

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`

BP363

Counterclockwise along the curve following the arrow vs. clockwise along the curve following the arrow.

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	CROSSREFS	`Adjacent-numbered pages: BP358 BP359 BP360 BP361 BP362 * BP364 BP365 BP366 BP367 BP368`
	KEYWORD	`easy, nice, dual, handed, leftright, updown, gap, traditional`
	CONCEPT	`arrow (info \| search),` `turn_orientation (info \| search),` `tracing_line_or_curve (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP160

Quadrilateral that is nearly a triangle vs. typical quadrilateral.

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	CROSSREFS	`Adjacent-numbered pages: BP155 BP156 BP157 BP158 BP159 * BP161 BP162 BP163 BP164 BP165`
	KEYWORD	`perfect, traditional`
	CONCEPT	`imperfection_small (info \| search),` `number (info \| search),` `triangle (info \| search)`
	WORLD	`Multiple options: [smaller \| same \| bigger], quadrilateral_outline [smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP557

Equal horizontal length vs. not

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	COMMENTS	`All examples in this Problem are pairs of straight line segments.` `This problem communicates the idea of projected distance, in this case from 2D to 1D (x-axis).`
	CROSSREFS	`Adjacent-numbered pages: BP552 BP553 BP554 BP555 BP556 * BP558 BP559 BP560 BP561 BP562`
	KEYWORD	`nice, precise, allsorted, stretch, perfect, unorderedpair, preciseworld`
	CONCEPT	`projection (info \| search)`
	WORLD	`two_segments [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

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`

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