The On-Line Encyclopedia of Bongard Problems

Search: +meta:BP655

Displaying 1-4 of 4 results found.

page 1

Sort: id Format: long Filter: (all | no meta | meta) Mode: (words | no words)

No knot (unknot) vs. knot.

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

	COMMENTS	`To hint at the solution, left examples can be arranged in a sequence to show the unknot tying itself.`
	CROSSREFS	`Adjacent-numbered pages: BP377 BP378 BP379 BP380 BP381 * BP383 BP384 BP385 BP386 BP387`
	KEYWORD	`nice, math, anticomputer, help, traditional`
	CONCEPT	`knot (info \| search),` `topological_transformation (info \| search)`
	WORLD	`knot [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Loops are entangled (in 3-D) vs. loops can be separated (in 3-D).

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

	CROSSREFS	`Adjacent-numbered pages: BP384 BP385 BP386 BP387 BP388 * BP390 BP391 BP392 BP393 BP394`
	KEYWORD	`nice, precise, allsorted, contributepairs, traditional`
	CONCEPT	`knot (info \| search),` `topological_transformation (info \| search),` `imagined_motion (info \| search),` `motion (info \| search)`
	WORLD	`link_two_knots [smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

Prime knot vs. composite knot.

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

	REFERENCE	`https://en.wikipedia.org/wiki/Prime_knot`
	CROSSREFS	`Adjacent-numbered pages: BP848 BP849 BP850 BP851 BP852 * BP854 BP855 BP856 BP857 BP858`
	KEYWORD	`math, hardsort`
	CONCEPT	`knot (info \| search)`
	WORLD	`knot [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

The removal of any one loop disentangles the whole arrangement vs. not so.

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

	COMMENTS	`Left-hand examples are called "Brunnian links".`
	REFERENCE	`https://en.wikipedia.org/wiki/Brunnian_link`
	CROSSREFS	`Adjacent-numbered pages: BP1131 BP1132 BP1133 BP1134 BP1135 * BP1137 BP1138 BP1139 BP1140 BP1141`
	KEYWORD	`precise, hardsort`
	CONCEPT	`knot (info \| search)`
	WORLD	`link [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

page 1

		Hints
(Greetings from The On-Line Encyclopedia of Bongard Problems!)