The On-Line Encyclopedia of Bongard Problems

Search: BP1199

Displaying 1-3 of 3 results found.

page 1

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

The only rectangles are the individual regions and the whole vs. there is some other rectangle made of rectangles.

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

CROSSREFS

All of the examples fitting left here would fit right in BP1200 except for (1) a single rectangle, (2) two rectangles stacked vertically, or (3) two rectangles side by side horizontally.

All of the examples fitting left in BP1097 (re-styled) would fit right here (besides the two possible arrangements made up of just two rectangles, but those aren't shown there).

See BP1201 for the version with triangles.

Adjacent-numbered pages: BP1194 BP1195 BP1196 BP1197 BP1198 * BP1200 BP1201 BP1202 BP1203 BP1204

KEYWORD

precise, traditional, left-listable, right-listable

AUTHOR

Aaron David Fairbanks

BP1201

The only triangles are the individual regions and the whole vs. there is some other triangle made of triangles.

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

	CROSSREFS	`See BP1199 for the version with rectangles.` `Adjacent-numbered pages: BP1196 BP1197 BP1198 BP1199 BP1200 * BP1202 BP1203 BP1204 BP1205 BP1206`
	KEYWORD	`precise, traditional, left-listable, right-listable`
	CONCEPT	`triangle (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1200

The whole rectangle can be filled in by successively replacing pairs of adjacent rectangles with one vs. not so.

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

	COMMENTS	`Another wording: "can be repeatedly broken along 'fault lines' to yield individual pieces vs not."`
	REFERENCE	`Robert Dawson, A forbidden suborder characterization of binarily composable diagrams in double categories, Theory and Applications of Categories, Vol. 1, No. 7, p. 146-145, 1995.`
	CROSSREFS	`All of the examples fitting left here would fit right in BP1199 except for (1) a single rectangle, (2) two rectangles stacked vertically, or (3) two rectangles side by side horizontally.` `All of the examples fitting right in in BP1097 (re-styled) would fit right here (besides a single solid block, but that isn't shown there).` `Adjacent-numbered pages: BP1195 BP1196 BP1197 BP1198 BP1199 * BP1201 BP1202 BP1203 BP1204 BP1205`
	KEYWORD	`hard, precise, challenge, proofsrequired, inductivedefinition, left-listable, right-listable`
	AUTHOR	`Aaron David Fairbanks`

page 1

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