The On-Line Encyclopedia of Bongard Problems

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BP925

The numbers of dots differ by three vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP920 BP921 BP922 BP923 BP924 * BP926 BP927 BP928 BP929 BP930`
	KEYWORD	`math, unorderedpair, traditional`
	CONCEPT	`subtraction (info \| search),` `number (info \| search),` `dot (info \| search),` `three (info \| search)`
	WORLD	`two_dot_clusters [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP924

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`

BP922

One row is rearranged to make the other by swapping an odd number of object pairs vs. one row is rearranged to make the other by swapping an even number of object pairs.

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

	COMMENTS	`The mathematical terms for these operations are even and odd permutations.`
	CROSSREFS	`Adjacent-numbered pages: BP917 BP918 BP919 BP920 BP921 * BP923 BP924 BP925 BP926 BP927`
	KEYWORD	`precise, allsorted, math, left-narrow, right-narrow, unorderedpair, preciseworld, left-listable`
	CONCEPT	`even_odd (info \| search),` `permutation (info \| search)`
	AUTHOR	`Leo Crabbe`

BP920

Is exact specific image (EX6205) vs. is not.

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

	COMMENTS	`A spot-the-difference exercise.` `Arguably invalid (solution not simple).`
	CROSSREFS	`Adjacent-numbered pages: BP915 BP916 BP917 BP918 BP919 * BP921 BP922 BP923 BP924 BP925`
	KEYWORD	`less, precise, convoluted, arbitrary, stretch, unstable, left-finite, left-full, perfect, pixelperfect, experimental, funny`
	CONCEPT	`imperfection_small (info \| search),` `specificity (info \| search)`
	WORLD	`bmp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP917

Reversible transformations vs. non-reversible transformations.

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

	COMMENTS	`All examples depict a process that transforms one object into another (two example input-output pairs are provided in every panel). In left-sorted examples, each input corresponds to a unique output, whereas in right-sorted examples, different inputs could potentially lead to the same output. There is a sense in which all the processes described on the right "lose" some amount of the input's information.`
	REFERENCE	`https://en.wikipedia.org/wiki/Injective_function`
	CROSSREFS	`Adjacent-numbered pages: BP912 BP913 BP914 BP915 BP916 * BP918 BP919 BP920 BP921 BP922`
	KEYWORD	`nice, abstract, creativeexamples, structure, rules, miniworlds`
	CONCEPT	`convey_enough_information (info \| search),` `function (info \| search)`
	AUTHOR	`Leo Crabbe`

BP915

Finite number of dots vs. infinite number of dots.

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

	CROSSREFS	`Adjacent-numbered pages: BP910 BP911 BP912 BP913 BP914 * BP916 BP917 BP918 BP919 BP920`
	KEYWORD	`less, notso, spectrum, number, example, left-null, impossible, experimental`
	CONCEPT	`finite_infinite (info \| search)`
	WORLD	`dots [smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

BP912

Imperfectly drawn shapes vs. perfectly drawn shapes.

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

	CROSSREFS	`Adjacent-numbered pages: BP907 BP908 BP909 BP910 BP911 * BP913 BP914 BP915 BP916 BP917`
	KEYWORD	`perfect, contributepairs`
	CONCEPT	`curve_texture (info \| search)`
	WORLD	`zoom in right (shape_outline)`
	AUTHOR	`Leo Crabbe`

BP911

Red shape vs. blue shape.

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

	CROSSREFS	`Adjacent-numbered pages: BP906 BP907 BP908 BP909 BP910 * BP912 BP913 BP914 BP915 BP916`
	KEYWORD	`easy, dual, arbitrary, color, experimental`
	AUTHOR	`Aaron David Fairbanks`

BP907

One dot cluster is the product of the other two vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP902 BP903 BP904 BP905 BP906 * BP908 BP909 BP910 BP911 BP912`
	KEYWORD	`unorderedtriplet`
	CONCEPT	`2_inputs_1_output (info \| search),` `product (info \| search)`
	WORLD	`3_dot_clusters [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP905

Graph can be redrawn such that no edges intersect vs. not so.

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	COMMENTS	`A graph is a collection of vertices and edges. Vertices are the dots and edges are the lines that connect the dots. On the left, all edges can be redrawn (curved lines are allowed and moving vertices is allowed) such that no edges cross each other and each vertex is still connected to the same other vertices. These graphs are called planar.`
	CROSSREFS	`Adjacent-numbered pages: BP900 BP901 BP902 BP903 BP904 * BP906 BP907 BP908 BP909 BP910`
	KEYWORD	`nice, precise, allsorted, notso, math, left-null, preciseworld`
	CONCEPT	`graph (info \| search),` `topological_transformation (info \| search)`
	WORLD	`connected_graph [smaller \| same \| bigger]`
	AUTHOR	`Molly C Klenzak`

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