The On-Line Encyclopedia of Bongard Problems

Search: keyword:right-finite

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Scanning left-to-right, top-to-bottom, each filled box is separated from the next filled box by the same number of empty boxes vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP239 BP240 BP241 BP242 BP243 * BP245 BP246 BP247 BP248 BP249`
	KEYWORD	`left-finite, right-finite, traditional`
	CONCEPT	`all (info \| search),` `subtraction (info \| search),` `outlined_filled (info \| search),` `wrapping_around_bounding_box (info \| search),` `same_number (info \| search),` `same (info \| search),` `texture (info \| search)`
	AUTHOR	`Matthew J. Howells`

BP376

A "chess piece" that moves as shown may reach every square vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP371 BP372 BP373 BP374 BP375 * BP377 BP378 BP379 BP380 BP381`
	KEYWORD	`precise, allsorted, notso, left-finite, right-finite, traditional, fixedgrid, preciseworld`
	CONCEPT	`all (info \| search),` `chess-like (info \| search),` `imagined_motion (info \| search),` `motion (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP503

"Nice" Bongard Problems vs. Bongard Problems the OEBP does not need more like.

BP1	BP2	BP3	BP4	BP5	BP6
BP7	BP8	BP9	BP11	BP12	BP15
BP16	BP20	BP23	BP30	BP32	BP33
BP50	BP51	BP57	BP59	BP62	BP70
BP71	BP72	BP74	BP76	BP77	BP85
BP97	BP98	BP100	BP106	BP108	. . .

BP213	BP214	BP221	BP231	BP237	BP262
BP538	BP545	BP548	BP555	BP570	BP801
BP862	BP882	BP915	BP920	BP941	BP1000
BP1008	BP1042	BP1043	BP1129	BP1150

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	COMMENTS	`Left-sorted Bongard Problems have the keyword "nice" on the OEBP.` `Right-sorted Bongard Problems have the keyword "less." They are not necessarily "bad," but we do not want more like them.`
	CROSSREFS	`Adjacent-numbered pages: BP498 BP499 BP500 BP501 BP502 * BP504 BP505 BP506 BP507 BP508`
	KEYWORD	`subjective, meta (see left/right), links, keyword, oebp, right-finite, left-it, feedback, time`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP504

BP pages on the OEBP in need of more examples vs. BP pages with a list of examples that should not be altered.

BP860	BP865	BP928	BP969	BP970	BP988
BP989	BP993	BP994	BP1001	BP1082	BP1085
BP1091	BP1098	BP1137	BP1206	BP1207	BP1208
BP1209	BP1210	BP1211	BP1213	BP1214	BP1215
BP1216	BP1217	BP1218	BP1220	BP1221	BP1222
BP1223	BP1224	BP1226	BP1227	BP1228	. . .

BP1	BP2	BP3	BP4	BP5	BP6
BP7	BP8	BP9	BP10	BP11	BP12
BP13	BP14	BP15	BP16	BP17	BP18
BP19	BP20	BP21	BP22	BP23	BP24
BP25	BP26	BP27	BP28	BP29	BP30
BP32	BP33	BP34	BP35	BP36	. . .

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	COMMENTS	`Left-sorted Bongard Problems have the keyword "stub" on the OEBP.` `Right-sorted Bongard Problems have the keyword "finished" on the OEBP.` `Users are not able to add or remove examples from Problems tagged "finished." (This is unusual; most Bongard Problems on the OEBP can be expanded indefinitely by users.)` `A "finished" Bongard Problem will always admit the alternative, convoluted solution "is [left example 1] OR is [left example 2] OR . . . OR is [last left example] vs. is [right example 1] OR is [right example 2] OR . . . OR is [last right example]".`
	CROSSREFS	`Bongard's original Problems are tagged "finished."` `Adjacent-numbered pages: BP499 BP500 BP501 BP502 BP503 * BP505 BP506 BP507 BP508 BP509`
	KEYWORD	`meta (see left/right), links, keyword, oebp, presentationmatters, left-finite, right-finite, instruction`
	WORLD	`bppage [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP544

Everything vs. nothing.

	&(%	0	BP1	BP544	BP1073
		dog	nothing

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	COMMENTS	`All ideas and things, with no limits.`
	CROSSREFS	`Adjacent-numbered pages: BP539 BP540 BP541 BP542 BP543 * BP545 BP546 BP547 BP548 BP549`
	KEYWORD	`notso, meta (see left/right), links, world, left-self, right-finite, right-full, left-null, left-it, feedback, experimental, funny`
	CONCEPT	`existence (info \| search)`
	WORLD	`everything [smaller \| same] zoom in left (everything) \| zoom in right (nothing)`
	AUTHOR	`Aaron David Fairbanks`

BP795

Image of a Bongard Problem that would sort itself on its own right versus image of a Bongard Problem that would sort itself on its own left.

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	COMMENTS	`"BONGARD HELL."` `This the flipped version of BP793 but using only images of Bongard Problems with solution "__ half more black/less white than other half versus vice versa," that all use rotated, reflected, and inverted versions of the same examples.`
	CROSSREFS	`See BP971 (left vs. right more black) and BP972 (top vs. bottom more black).` `Adjacent-numbered pages: BP790 BP791 BP792 BP793 BP794 * BP796 BP797 BP798 BP799 BP800`
	KEYWORD	`hard, nice, abstract, dual, handed, leftright, meta (see left/right), miniproblems, presentationmatters, left-finite, right-finite, assumesfamiliarity, structure, experimental, funny`
	WORLD	`bongard_hell [smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Aaron David Fairbanks`

BP854

Nothing vs. nothing.

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	CROSSREFS	`Adjacent-numbered pages: BP849 BP850 BP851 BP852 BP853 * BP855 BP856 BP857 BP858 BP859`
	KEYWORD	`left-finite, right-finite, left-full, right-full, finished, experimental, funny`
	WORLD	`nothing [same \| bigger] zoom in left (nothing) \| zoom in right (nothing)`
	AUTHOR	`Aaron David Fairbanks`

BP934

If "distance" is taken to be the sum of horizontal and vertical distances between points, the 3 points are equidistant from each other vs. not so.

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	COMMENTS	`In other words, we take the distance between points (a,b) and (c,d) to be equal to \|c-a\| + \|d-b\|, or, in other words, the distance of the shortest path between points that travels along grid lines. In mathematics, this way of measuring distance is called the 'taxicab' or 'Manhattan' metric. The points on the left hand side form equilateral triangles in this metric.` `⠀` `An alternate (albeit more convoluted) solution that someone may arrive at for this Problem is as follows: The triangles formed by the points on the left have some two points diagonal to each other (in the sense of bishops in chess), and considering the corresponding edge as their base, they also have an equal height. However, this was proven to be equivalent to the Manhattan distance answer by Sridhar Ramesh. Here is the proof:` `⠀` `An equilateral triangle amounts to points A, B, and C such that B and C lie on a circle of some radius centered at A, and the chord from B to C is as long as this radius.` A Manhattan circle of radius R is a turned square, ♢, where the Manhattan distance between any two points on opposite sides is 2R, and the Manhattan distance between any two points on adjacent sides is the larger distance from one of those points to the corner connecting those sides. Thus, to get two of these points to have Manhattan distance R, one of them must be a midpoint of one side of the ♢ (thus, bishop-diagonal from its center) and the other can then be any point on an adjacent side of the ♢ making an acute triangle with the aforementioned midpoint and center.
	CROSSREFS	`Adjacent-numbered pages: BP929 BP930 BP931 BP932 BP933 * BP935 BP936 BP937 BP938 BP939`
	KEYWORD	`hard, allsorted, solved, left-finite, right-finite, perfect, pixelperfect, unorderedtriplet, finishedexamples`
	CONCEPT	`triangle (info \| search)`
	WORLD	`3_dots_on_square_grid [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP959

This image of this Bongard Problem vs. empty image.

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	CROSSREFS	`See BP953, BP902.` `Adjacent-numbered pages: BP954 BP955 BP956 BP957 BP958 * BP960 BP961 BP962 BP963 BP964`
	KEYWORD	`meta (see left/right), miniproblems, left-finite, right-finite, left-full, right-full, right-null, perfect, infinitedetail, finished, experimental, funny`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`zoom in left \| zoom in right (blank_image)`
	AUTHOR	`Aaron David Fairbanks, Leo Crabbe`

BP962

White vs. black.

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	CROSSREFS	`Adjacent-numbered pages: BP957 BP958 BP959 BP960 BP961 * BP963 BP964 BP965 BP966 BP967`
	KEYWORD	`precise, allsorted, minimal, dual, blackwhite, gap, left-finite, right-finite, left-full, right-full, left-null, finished, preciseworld, unstableworld`
	WORLD	`[smaller \| same \| bigger] zoom in left (blank_image) \| zoom in right (black_image)`
	AUTHOR	`Leo Crabbe`

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