The On-Line Encyclopedia of Bongard Problems

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Polygons where all sides are different lengths vs. Polygons where not all sides are different lengths.

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	COMMENTS	`All examples in this Problem are outlines of convex polygons.` `This is a generalisation of scalene triangles to any polygon.`
	CROSSREFS	`The left side implies the right side of BP329 (regular vs. irregular polygons), but the converse is not true.` `The left side of BP329 implies the right side, but the converse is not true.` `Adjacent-numbered pages: BP919 BP920 BP921 BP922 BP923 * BP925 BP926 BP927 BP928 BP929`
	EXAMPLE	`Any scalene triangle will fit on the left, because no two sides are equal.` `However, any regular polygon will not fit on the left, because all of its sides are equal.` `A random convex polygon will "almost surely" fit on the left.`
	KEYWORD	`nice, stretch, right-narrow, traditional`
	CONCEPT	`all (info \| search)`
	WORLD	`polygon_outline [smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

Every vertex is connected to every other vs. vertices are connected in a cycle (no other connections).

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	COMMENTS	`Complete graphs with zero, one, two, or three vertices would be ambiguously categorized (fit in overlap of both sides).` `Left examples are called "fully connected graphs." Right examples are called "cycle graphs."`
	CROSSREFS	`Adjacent-numbered pages: BP927 BP928 BP929 BP930 BP931 * BP933 BP934 BP935 BP936 BP937`
	KEYWORD	`precise, left-narrow, right-narrow, both, preciseworld`
	CONCEPT	`graph (info \| search),` `distinguishing_crossing_curves (info \| search),` `all (info \| search),` `loop (info \| search)`
	WORLD	`connected_graph [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

3 in a row vs. not

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	CROSSREFS	`Adjacent-numbered pages: BP1044 BP1045 BP1046 BP1047 BP1048 * BP1050 BP1051 BP1052 BP1053 BP1054`
	KEYWORD	`teach, creativeexamples, left-narrow, right-narrow, contributepairs, fixedgrid, miniworlds`
	CONCEPT	`three (info \| search)`
	AUTHOR	`Jago Collins`

Axis of symmetry along the NW/SE diagonal vs. axis of symmetry along the NE/SW diagonal

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	CROSSREFS	`Adjacent-numbered pages: BP1208 BP1209 BP1210 BP1211 BP1212 * BP1214 BP1215 BP1216 BP1217 BP1218`
	KEYWORD	`stub, dual, handed, leftright, updown, rotate, stretch, left-narrow, right-narrow, traditional, both`
	CONCEPT	`diagonal (info \| search),` `symmetry_axis (info \| search),` `symmetry (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Arrow pointing north-west vs. arrow pointing south-east.

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	CROSSREFS	`BP1218 is "arrow pointing north-west vs. arrow pointing elsewhere".` `Adjacent-numbered pages: BP1211 BP1212 BP1213 BP1214 BP1215 * BP1217 BP1218 BP1219 BP1220 BP1221`
	KEYWORD	`stub, precise, dual, handed, leftright, updown, rotate, left-narrow, right-narrow, traditional`
	CONCEPT	`diagonal (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Blank image (square) vs. image of blank square.

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	CROSSREFS	`See also BP1056, "blank image vs. nothing".` `BP1 is also a (less specific) solution to this.` `BP1209 (flipped) is also a (less specific) solution to this.` `Adjacent-numbered pages: BP1214 BP1215 BP1216 BP1217 BP1218 * BP1220 BP1221 BP1222 BP1223 BP1224`
	KEYWORD	`minimal, gap, left-narrow, right-narrow, left-finite, right-finite, left-full, right-full, left-null, funny, unstableworld`
	CONCEPT	`empty (info \| search),` `square (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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