The On-Line Encyclopedia of Bongard Problems

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Connected fractal vs. disconnected fractal.

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	CROSSREFS	`Adjacent-numbered pages: BP1232 BP1233 BP1234 BP1235 BP1236 * BP1238 BP1239 BP1240 BP1241 BP1242`
	KEYWORD	`notso, perfect, infinitedetail`
	CONCEPT	`connected_component (info \| search),` `fractal (info \| search)`
	WORLD	`fractal_self_tile [smaller \| same \| bigger] zoom in left (connected_fractal_self_tile)`
	AUTHOR	`Jago Collins`

BP1212

Shape tiles a square vs. not

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	CROSSREFS	`Adjacent-numbered pages: BP1207 BP1208 BP1209 BP1210 BP1211 * BP1213 BP1214 BP1215 BP1216 BP1217`
	WORLD	`zoom in left (fill_shape)`
	AUTHOR	`Jago Collins`

BP1193

Long, short, short, short vs. short, long, long, short

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	COMMENTS	`In morse code, the solution to this BP is B vs. P.`
	CROSSREFS	`Adjacent-numbered pages: BP1188 BP1189 BP1190 BP1191 BP1192 * BP1194 BP1195 BP1196 BP1197 BP1198`
	KEYWORD	`arbitrary, funny, neither`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

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`

BP1191

One natural way of matching up the two collections vs. multiple natural ways of matching up the two collections.

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	COMMENTS	`Jago originally designed this as a triptych. EX9655, EX9656, and EX9657 belong in a third category displayed further right of the two categories shown here. The third category is "all possible ways of matching are equally natural". - Aaron David Fairbanks, Apr 18 2022`
	CROSSREFS	`Adjacent-numbered pages: BP1186 BP1187 BP1188 BP1189 BP1190 * BP1192 BP1193 BP1194 BP1195 BP1196`
	KEYWORD	`nice, abstract, creativeexamples, structure, miniworlds, dithering`
	AUTHOR	`Jago Collins`

BP1163

Eventually blinks vs. never blinks.

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	COMMENTS	`The intended presentation is that the animations are displayed without access to the underlying GIF files, so that there is no way to tell a dot blinks besides waiting.`
	CROSSREFS	`Adjacent-numbered pages: BP1158 BP1159 BP1160 BP1161 BP1162 * BP1164 BP1165 BP1166 BP1167 BP1168`
	KEYWORD	`example, animated, right-unknowable, finished, experimental, funny`
	AUTHOR	`Aaron David Fairbanks, Jago Collins`

BP1137

Constructible Polygon vs. Non-constructible Polygon

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	REFERENCE	`https://en.wikipedia.org/wiki/Straightedge_and_compass_construction` `https://en.wikipedia.org/wiki/Constructible_polygon`
	CROSSREFS	`Adjacent-numbered pages: BP1132 BP1133 BP1134 BP1135 BP1136 * BP1138 BP1139 BP1140 BP1141 BP1142`
	KEYWORD	`stub, precise, math, hardsort, proofsrequired, preciseworld`
	AUTHOR	`Jago Collins`

BP1123

Can be cut into tiles forming a checkerboard pattern vs. not so.

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	COMMENTS	`All examples in this Problem are grids consisting of two objects.`
	CROSSREFS	`Adjacent-numbered pages: BP1118 BP1119 BP1120 BP1121 BP1122 * BP1124 BP1125 BP1126 BP1127 BP1128`
	EXAMPLE	`EX9124 shows a 9 square by 9 square grid. Take each tile to be 3 squares by 3 squares; there is a 3 tile by 3 tile checkerboard pattern. (One of these tiles is itself a checkerboard pattern; the other is all black squares.)`
	KEYWORD	`hard, nice, precise, allsorted, hardsort, grid, miniworlds`
	AUTHOR	`Jago Collins`

BP1098

Concave shapes whose cavities are similar to the shape vs. concave shape whose cavities are not similar to the shape.

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	COMMENTS	`"I am agnostic on whether to let this world include examples such as EX8932, where pixelation is used, or examples such as suggested by EX8928 similar to the "Topologist's Comb" (link in references) which are not locally path-connected. These two examples were provided by Aaron David Fairbanks." - Jago Collins 28th January 2021`
	REFERENCE	`https://en.wikipedia.org/wiki/Similarity_(geometry)` `https://en.wikipedia.org/wiki/Self-similarity` `https://en.wikipedia.org/wiki/Comb_space`
	CROSSREFS	`Adjacent-numbered pages: BP1093 BP1094 BP1095 BP1096 BP1097 * BP1099 BP1100 BP1101 BP1102 BP1103`
	EXAMPLE	`A circle with a circle cut out of it does not fit left, because with the circle cut out of it, our shape is no longer a circle.`
	KEYWORD	`stub, precise, allsorted, left-narrow, perfect, infinitedetail`
	CONCEPT	`self-reference (info \| search)`
	AUTHOR	`Jago Collins`

BP1097

"Fault line" present vs. not

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	CROSSREFS	`Adjacent-numbered pages: BP1092 BP1093 BP1094 BP1095 BP1096 * BP1098 BP1099 BP1100 BP1101 BP1102`
	KEYWORD	`nice, precise, notso, left-finite, right-finite, preciseworld`
	AUTHOR	`Jago Collins`

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