The On-Line Encyclopedia of Bongard Problems

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BP1032

Left infinite vs. left finite.

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

	CROSSREFS	`See BP1041 for right finite vs. right infinite. That is this Problem with with sides flipped and sides of mini-Problems flipped.` `See BP515 (left-finite) for a version that sorts links to Bongard Problems and not just about numbers, instead of images of Bongard Problems (miniproblems) about numbers.` `Adjacent-numbered pages: BP1027 BP1028 BP1029 BP1030 BP1031 * BP1033 BP1034 BP1035 BP1036 BP1037`
	KEYWORD	`precise, allsorted, handed, leftright, math, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	CONCEPT	`finite_infinite (info \| search)`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1033

Left all even vs. some odd is left.

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

	CROSSREFS	`Adjacent-numbered pages: BP1028 BP1029 BP1030 BP1031 BP1032 * BP1034 BP1035 BP1036 BP1037 BP1038`
	KEYWORD	`precise, allsorted, handed, leftright, math, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1034

"Multiple of ___ vs. other number" vs. other solution.

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

	CROSSREFS	`Adjacent-numbered pages: BP1029 BP1030 BP1031 BP1032 BP1033 * BP1035 BP1036 BP1037 BP1038 BP1039`
	KEYWORD	`precise, allsorted, handed, leftright, math, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1035

"___th powers vs. other numbers" vs. other solution.

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

	CROSSREFS	`Adjacent-numbered pages: BP1030 BP1031 BP1032 BP1033 BP1034 * BP1036 BP1037 BP1038 BP1039 BP1040`
	KEYWORD	`precise, allsorted, handed, leftright, math, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1036

"Powers of ___ vs. other numbers" vs. other solution.

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

	CROSSREFS	`Adjacent-numbered pages: BP1031 BP1032 BP1033 BP1034 BP1035 * BP1037 BP1038 BP1039 BP1040 BP1041`
	KEYWORD	`precise, allsorted, handed, leftright, math, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1037

A multiple of a left number fits right vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP1032 BP1033 BP1034 BP1035 BP1036 * BP1038 BP1039 BP1040 BP1041 BP1042`
	KEYWORD	`precise, allsorted, handed, leftright, math, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1038

Reciprocals of right numbers summed in infinite series converge vs. diverge.

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

	CROSSREFS	`Adjacent-numbered pages: BP1033 BP1034 BP1035 BP1036 BP1037 * BP1039 BP1040 BP1041 BP1042 BP1043`
	KEYWORD	`hard, precise, allsorted, handed, leftright, math, challenge, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1039

"Greater than ___ vs. less than ___" vs. other solution.

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

	CROSSREFS	`See the twin BP1031.` `Adjacent-numbered pages: BP1034 BP1035 BP1036 BP1037 BP1038 * BP1040 BP1041 BP1042 BP1043 BP1044`
	KEYWORD	`precise, allsorted, notso, handed, leftright, math, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1040

Left is union of (non-constant) arithmetic progressions vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP1035 BP1036 BP1037 BP1038 BP1039 * BP1041 BP1042 BP1043 BP1044 BP1045`
	KEYWORD	`hard, precise, allsorted, convoluted, notso, handed, leftright, math, challenge, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1041

Right finite vs. right infinite.

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

	CROSSREFS	`See BP1032 for left infinite vs. left finite. That is this Problem with with sides flipped and sides of mini-Problems flipped.` `See BP516 (right-finite) for a version that sorts links to Bongard Problems and not just about numbers, instead of images of Bongard Problems (miniproblems) about numbers.` `Adjacent-numbered pages: BP1036 BP1037 BP1038 BP1039 BP1040 * BP1042 BP1043 BP1044 BP1045 BP1046`
	KEYWORD	`precise, allsorted, handed, leftright, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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