The On-Line Encyclopedia of Bongard Problems

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Three parts vs. five parts.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 242.`
	CROSSREFS	`Adjacent-numbered pages: BP80 BP81 BP82 BP83 BP84 * BP86 BP87 BP88 BP89 BP90`
	KEYWORD	`nice, number, finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `three (info \| search),` `five (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Three parts vs. five parts.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 242.`
	CROSSREFS	`Adjacent-numbered pages: BP81 BP82 BP83 BP84 BP85 * BP87 BP88 BP89 BP90 BP91`
	KEYWORD	`number, finished, traditional, bongard`
	CONCEPT	`branch_point (info \| search),` `lines_coincide (info \| search),` `number (info \| search),` `three (info \| search),` `five (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Four parts vs. five parts.

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	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`

Three parts vs. five parts.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 243.`
	CROSSREFS	`Adjacent-numbered pages: BP83 BP84 BP85 BP86 BP87 * BP89 BP90 BP91 BP92 BP93`
	KEYWORD	`number, finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `separation_of_joined_objects (info \| search),` `three (info \| search),` `five (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Three parts vs. five parts.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 243.`
	CROSSREFS	`Adjacent-numbered pages: BP84 BP85 BP86 BP87 BP88 * BP90 BP91 BP92 BP93 BP94`
	KEYWORD	`number, finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `feature_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `three (info \| search),` `five (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Five concavities vs. not five concavities.

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	CROSSREFS	`Adjacent-numbered pages: BP226 BP227 BP228 BP229 BP230 * BP232 BP233 BP234 BP235 BP236`
	KEYWORD	`less, noisy, arbitrary, traditional`
	CONCEPT	`indentation (info \| search),` `number (info \| search),` `five (info \| search)`
	AUTHOR	`Giuseppe Insana`

5 collinear objects, of which the 3rd is moved elsewhere vs. 5 collinear objects, of which the 2nd/4th is moved elsewhere.

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	CROSSREFS	`Adjacent-numbered pages: BP297 BP298 BP299 BP300 BP301 * BP303 BP304 BP305 BP306 BP307`
	KEYWORD	`traditional`
	CONCEPT	`collinear (info \| search),` `ordinal_orering (info \| search),` `two (info \| search),` `three (info \| search),` `four (info \| search),` `five (info \| search)`
	AUTHOR	`"Lewis"`

Fractal is tiled by three smaller copies of itself vs. fractal is tiled by five smaller copies of itself.

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	COMMENTS	`More specifically, all left examples shown in this Problem have Hausdorff dimension log2(3) while all right examples have Hausdorff dimension log3(5).` `Left examples can tile themselves by any power of 3 smaller same-sized copies of themselves while right examples can tile themselves by any power of 5 smaller same-sized copies of themselves.` `Homage to Bongard's original three versus five Problems.`
	CROSSREFS	`Adjacent-numbered pages: BP526 BP527 BP528 BP529 BP530 * BP532 BP533 BP534 BP535 BP536`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search),` `tiling (info \| search),` `three (info \| search),` `five (info \| search)`
	WORLD	`fractal_self_tile [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Colors divide dots into some fifths vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1043 BP1044 BP1045 BP1046 BP1047 * BP1049 BP1050 BP1051 BP1052 BP1053`
	KEYWORD	`precise, allsorted, arbitrary, preciseworld`
	CONCEPT	`ratio (info \| search),` `five (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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