The On-Line Encyclopedia of Bongard Problems

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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`

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`

BP1050

One color is multiple of the other vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP1045 BP1046 BP1047 BP1048 BP1049 * BP1051 BP1052 BP1053 BP1054 BP1055`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (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`

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`

BP1046

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

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

	CROSSREFS	`See the twin BP1044.` `Adjacent-numbered pages: BP1041 BP1042 BP1043 BP1044 BP1045 * BP1047 BP1048 BP1049 BP1050 BP1051`
	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`

BP1044

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`

BP1022

Nesting vs. no nesting.

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

	CROSSREFS	`See BP1061 for a version of this with only squares and which allows infinite nesting.` `See BP71 for a Problem about counting levels of nesting.` `Adjacent-numbered pages: BP1017 BP1018 BP1019 BP1020 BP1021 * BP1023 BP1024 BP1025 BP1026 BP1027`
	KEYWORD	`easy, nice, precise, allsorted, traditional`
	CONCEPT	`recursion_number (info \| search),` `separated_regions (info \| search),` `inside (info \| search),` `recursion (info \| search)`
	WORLD	`varied_thickness_curves_drawing [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1019

White space in two circles maximum vs. white space in three circles maximum.

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

	CROSSREFS	`Adjacent-numbered pages: BP1014 BP1015 BP1016 BP1017 BP1018 * BP1020 BP1021 BP1022 BP1023 BP1024`
	KEYWORD	`nice, precise, traditional`
	CONCEPT	`recursion_number (info \| search),` `separated_regions (info \| search),` `circle (info \| search),` `recursion (info \| search),` `two (info \| search),` `three (info \| search)`
	WORLD	`circles_cross [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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