The On-Line Encyclopedia of Bongard Problems

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More black circles than white circles vs. at least as many white circles as black circles.

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

	CROSSREFS	`See the twin BP1046.` `Adjacent-numbered pages: BP1039 BP1040 BP1041 BP1042 BP1043 * BP1045 BP1046 BP1047 BP1048 BP1049`
	KEYWORD	`precise, allsorted, spectrum, discrete, preciseworld`
	CONCEPT	`ratio (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1045

More of some color vs. half and half.

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

	CROSSREFS	`Adjacent-numbered pages: BP1040 BP1041 BP1042 BP1043 BP1044 * BP1046 BP1047 BP1048 BP1049 BP1050`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1047

At least twice as many of one color than the other vs. neither color attains double the other.

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

	CROSSREFS	`See the twin BP1052.` `Adjacent-numbered pages: BP1042 BP1043 BP1044 BP1045 BP1046 * BP1048 BP1049 BP1050 BP1051 BP1052`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search),` `two (info \| search),` `three (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1048

Colors divide dots into some fifths vs. not so.

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

	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`

BP1051

White is multiple of black vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP1046 BP1047 BP1048 BP1049 BP1050 * BP1052 BP1053 BP1054 BP1055 BP1056`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1052

More than twice as many of one color than the other vs. neither color exceeds double the other.

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

	CROSSREFS	`See the twin BP1047.` `Adjacent-numbered pages: BP1047 BP1048 BP1049 BP1050 BP1051 * BP1053 BP1054 BP1055 BP1056 BP1057`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1053

Two parts black to one part white vs. not so.

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

	CROSSREFS	`See the twin BP1047.` `Adjacent-numbered pages: BP1048 BP1049 BP1050 BP1051 BP1052 * BP1054 BP1055 BP1056 BP1057 BP1058`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search),` `one (info \| search),` `two (info \| search),` `three (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1054

Ratio of total circles to black circles is a power of two vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP1049 BP1050 BP1051 BP1052 BP1053 * BP1055 BP1056 BP1057 BP1058 BP1059`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search),` `two (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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