The On-Line Encyclopedia of Bongard Problems

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BP351

Discrete quantity vs. continuous quantity.

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	CROSSREFS	`See BP873 for the version with Bongard Problems.` `Adjacent-numbered pages: BP346 BP347 BP348 BP349 BP350 * BP352 BP353 BP354 BP355 BP356`
	KEYWORD	`creativeexamples, structure, sequence, traditional, rules`
	CONCEPT	`size_increase_decrease (info \| search),` `discrete_continuous (info \| search),` `iteration (info \| search),` `tracing_line_or_curve (info \| search)`
	WORLD	`constant_change_seq_increase_right [smaller \| same \| bigger] zoom in left (constant_change_discrete_seq_increase_right)`
	AUTHOR	`Aaron David Fairbanks`

BP365

Two independent quantities changing simultaneously vs. determined by just one changing quantity.

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	COMMENTS	`Examples sorted right may feature multiple quantities, but one changing quantity determines all changing quantities.` `The distinction between the two sides is fuzzy. For example the left-sorted example EX4364 could be viewed as determined by just the one changing quantity of width and the fact that the height is given by two times the width minus one. On the other hand the right-sorted example EX4370 could be viewed as determined by the two changing quantities number of black squares and number of white squares, ignoring the fact that the total number of squares is always six.`
	CROSSREFS	`Adjacent-numbered pages: BP360 BP361 BP362 BP363 BP364 * BP366 BP367 BP368 BP369 BP370`
	KEYWORD	`fuzzy, traditional, rules, miniworlds`
	CONCEPT	`size_increase_decrease (info \| search),` `tracing_line_or_curve (info \| search)`
	WORLD	`constant_change_seq_increase_right [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP843

Lower bound is object vs. lower bound is nothing.

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	CROSSREFS	`Adjacent-numbered pages: BP838 BP839 BP840 BP841 BP842 * BP844 BP845 BP846 BP847 BP848`
	KEYWORD	`creativeexamples, structure, rules`
	CONCEPT	`empty (info \| search)`
	WORLD	`constant_change_seq_increase_right_lower_bound [smaller \| same \| bigger] zoom in left (constant_change_seq_increase_right_low_bound_obj)`
	AUTHOR	`Aaron David Fairbanks`

BP870

Increasing quantity has upper bound (will get "stopped" by something) vs. not so.

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	CROSSREFS	`See BP352 for a version about lower bounds.` `Related to BP380.` `Adjacent-numbered pages: BP865 BP866 BP867 BP868 BP869 * BP871 BP872 BP873 BP874 BP875`
	KEYWORD	`creativeexamples, structure, rules`
	WORLD	`constant_change_seq_increase_right [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP893

As one quantity increases an equally obvious opposite quantity decreases vs. there is one obvious quantity, which increases as the sequence progresses right.

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	COMMENTS	`Another way of phrasing the solution: "Neither direction would more naturally be called increase in quantity vs. rightward progression would be called an increase."` `Most right examples shown are unboundedly increasing, since finite sequences showing a quantity increasing usually also suggest "distance to end of sequence" as a decreasing opposite quantity. Even so, there are some finite sequences with one direction more intuitively increase-like than the other.`
	CROSSREFS	`Adjacent-numbered pages: BP888 BP889 BP890 BP891 BP892 * BP894 BP895 BP896 BP897 BP898`
	KEYWORD	`creativeexamples, structure, rules`
	WORLD	`constant_change_seq_increase_right [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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