The On-Line Encyclopedia of Bongard Problems

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BP369

All points (small white circles) on one figure can be glued together to make the other figure vs. not so.

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

	CROSSREFS	`See BP851 for a version where the figure must stay within the 2D plane and cannot pass through itself while being deformed.` `Adjacent-numbered pages: BP364 BP365 BP366 BP367 BP368 * BP370 BP371 BP372 BP373 BP374`
	KEYWORD	`nice, math, traditional`
	CONCEPT	`topological_transformation (info \| search),` `imagined_motion (info \| search),` `motion (info \| search)`
	WORLD	`zoom in left (figure_made_of_curves_and_quotient_by_hollow_dots)`
	AUTHOR	`Aaron David Fairbanks`

BP851

Figure with points (small white circles) can be smoothly deformed within the 2D plane without passing through itself so that all points touch to make the other figure vs. not so (movement out of the plane required).

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

	CROSSREFS	`All examples here fit left in BP369, a version where the figure is allowed to pass through itself while being deformed.` `Adjacent-numbered pages: BP846 BP847 BP848 BP849 BP850 * BP852 BP853 BP854 BP855 BP856`
	KEYWORD	`math, traditional`
	CONCEPT	`topological_transformation (info \| search)`
	WORLD	`figure_made_of_curves_and_quotient_by_hollow_dots [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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