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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

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

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

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

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

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

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

BP924 Polygons where all sides are different lengths vs. Polygons where not all sides are different lengths.
(edit; present; nest [left/right]; search; history)
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

BP925 The numbers of dots differ by three vs. not so.
(edit; present; nest [left/right]; search; history)
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

BP926 Numbers of dots in ascending order from left to right vs. numbers of dots neither in ascending nor descending order from left to right.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP921 BP922 BP923 BP924 BP925  *  BP927 BP928 BP929 BP930 BP931

KEYWORD

nice, math, sequence, traditional, left-listable, right-listable

CONCEPT number (info | search),
dot (info | search)

WORLD

dot_clusters_sequence_horizontal [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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