The On-Line Encyclopedia of Bongard Problems

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BP1022

Nesting vs. no nesting.

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

	CROSSREFS	`See BP1061 for a version of this with only squares and which allows infinite nesting.` `See BP71 for a Problem about counting levels of nesting.` `Adjacent-numbered pages: BP1017 BP1018 BP1019 BP1020 BP1021 * BP1023 BP1024 BP1025 BP1026 BP1027`
	KEYWORD	`easy, nice, precise, allsorted, traditional`
	CONCEPT	`recursion_number (info \| search),` `separated_regions (info \| search),` `inside (info \| search),` `recursion (info \| search)`
	WORLD	`varied_thickness_curves_drawing [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1086

Endpoints of curve have the same height vs. not so.

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

	REFERENCE	`Solution idea seen here: https://justpuzzles.wordpress.com/2019/07/05/bongard-problem-36-2.`
	CROSSREFS	`Adjacent-numbered pages: BP1081 BP1082 BP1083 BP1084 BP1085 * BP1087 BP1088 BP1089 BP1090 BP1091`
	KEYWORD	`nice, rotate, stretch, left-narrow, traditional`
	CONCEPT	`same (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Teun Spaans`

BP1104

Vertically centered versus horizontally centered

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	COMMENTS	`It is easier to notice that the left examples are vertically centered than that the right examples are horizontally centered. - Aaron David Fairbanks, Dec 27 2022`
	CROSSREFS	`Adjacent-numbered pages: BP1099 BP1100 BP1101 BP1102 BP1103 * BP1105 BP1106 BP1107 BP1108 BP1109`
	KEYWORD	`easy, nice, precise, minimal, boundingbox, perfect, pixelperfect, traditional, finishedexamples, preciseworld, absoluteposition, unstableworld`
	CONCEPT	`center_bounding_box (info \| search),` `center (info \| search)`
	WORLD	`horizontal_line_segment [smaller \| same \| bigger]`
	AUTHOR	`Widad Dabbas`

BP1155

Shapes are sorted according to a simple rule that uniquely determines where everything goes vs. shapes are sorted according to some other rule (or lack thereof).

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

	CROSSREFS	`Adjacent-numbered pages: BP1150 BP1151 BP1152 BP1153 BP1154 * BP1156 BP1157 BP1158 BP1159 BP1160`
	KEYWORD	`abstract, unwordable, creativeexamples, right-unknowable, traditional, finishedexamples, rules`
	AUTHOR	`Leo Crabbe`

BP1175

Each symbol appears once in any given row or column vs. not so.

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

	REFERENCE	`https://en.wikipedia.org/wiki/Latin_square`
	CROSSREFS	`Adjacent-numbered pages: BP1170 BP1171 BP1172 BP1173 BP1174 * BP1176 BP1177 BP1178 BP1179 BP1180`
	KEYWORD	`precise, traditional, grid, miniworlds, dithering`
	AUTHOR	`Leo Crabbe`

BP1192

Short, short, long, short, long vs. not.

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	COMMENTS	`All examples in this Problem are paths of short and long line segments which do not self-intersect. This could be a useful world to use in an abstract binary sequence BP.`
	CROSSREFS	`Adjacent-numbered pages: BP1187 BP1188 BP1189 BP1190 BP1191 * BP1193 BP1194 BP1195 BP1196 BP1197`
	KEYWORD	`nice, notso, arbitrary, traditional`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

BP1197

No sequence is repeated twice in a row vs. some sequence is repeated twice in a row.

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

	REFERENCE	`https://en.wikipedia.org/wiki/Square-free_word`
	CROSSREFS	`Adjacent-numbered pages: BP1192 BP1193 BP1194 BP1195 BP1196 * BP1198 BP1199 BP1200 BP1201 BP1202`
	KEYWORD	`precise, allsorted, notso, left-narrow, sequence, traditional, preciseworld, dithering, left-listable`
	CONCEPT	`two (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1199

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`

BP1206

Vertical axis of symmetry vs. no vertical axis of symmetry.

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

	COMMENTS	`The solution for this Bongard Problem is also a (less specific) solution for BP500, "vertical axis of symmetry vs. no axis of symmetry".`
	CROSSREFS	`BP1207 is the same solution but using the horizontal axis instead of the vertical axis.` `BP1215 is the same solution but with the NW/SE diagonal instead of the vertical axis.` `Adjacent-numbered pages: BP1201 BP1202 BP1203 BP1204 BP1205 * BP1207 BP1208 BP1209 BP1210 BP1211`
	KEYWORD	`stub, notso, stretch, left-narrow, traditional`
	CONCEPT	`symmetry_axis (info \| search),` `symmetry (info \| search),` `vertical (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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