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BP357 Decelerating change in quantity, left-to-right vs. accelerating change in quantity, left-to-right.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP352 BP353 BP354 BP355 BP356  *  BP358 BP359 BP360 BP361 BP362

KEYWORD

dual, leftright, creativeexamples, structure, traditional, rules, miniworlds

CONCEPT acceleration (info | search),
size_increase_decrease (info | search),
tracing_line_or_curve (info | search)

WORLD

quantity_change_seq_increase_right [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP363 Counterclockwise along the curve following the arrow vs. clockwise along the curve following the arrow.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP358 BP359 BP360 BP361 BP362  *  BP364 BP365 BP366 BP367 BP368

KEYWORD

easy, nice, dual, handed, leftright, updown, gap, traditional

CONCEPT arrow (info | search),
turn_orientation (info | search),
tracing_line_or_curve (info | search)

AUTHOR

Aaron David Fairbanks

BP372 Shape below fits on the left vs. shape below fits on the right.
(edit; present; nest [left/right]; search; history)
COMMENTS

See BP805 for the version of this with box-based BPs.

CROSSREFS

Adjacent-numbered pages:
BP367 BP368 BP369 BP370 BP371  *  BP373 BP374 BP375 BP376 BP377

KEYWORD

nice, dual, handed, leftright, creativeexamples, structure, traditional, rules

CONCEPT bongard_problem (info | search),
categorization (info | search),
feature_cluster (info | search),
cluster (info | search),
choice (info | search)

WORLD

bdimage_shapes_extra_below_clear_sort [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP793 Image of a Bongard Problem that would sort itself on its own left versus image of a Bongard Problem that would sort itself on its own right.
?
?
(edit; present; nest [left/right]; search; history)
COMMENTS

Rhetorical question: Where does this Bongard Problem sort an image of itself?

See BP999 and BP1004 for similar paradoxes.


Bongard Problems fitting left here evidently come in three categories: 1) would sort all Bongard Problems with the same solution left, 2) would sort all Bongard Problems with the same solution right, or 3) would sort some Bongard Problems with the same solution left and some right. See BP927.

CROSSREFS

See BP517 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).


See BP954, which is about Bongard Problems not only sorting themselves, but moreover fractally appearing in themselves as panels.

Adjacent-numbered pages:
BP788 BP789 BP790 BP791 BP792  *  BP794 BP795 BP796 BP797 BP798

KEYWORD

hard, nice, abstract, dual, handed, leftright, solved, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, experimental

WORLD

boxes_bpimage_sorts_self [smaller | same | bigger]
zoom in left (boxes_bpimage_sorts_self_left) | zoom in right (boxes_bpimage_sorts_self_right)

AUTHOR

Aaron David Fairbanks

BP795 Image of a Bongard Problem that would sort itself on its own right versus image of a Bongard Problem that would sort itself on its own left.
(edit; present; nest [left/right]; search; history)
COMMENTS

"BONGARD HELL."

This the flipped version of BP793 but using only images of Bongard Problems with solution "__ half more black/less white than other half versus vice versa," that all use rotated, reflected, and inverted versions of the same examples.

CROSSREFS

See BP971 (left vs. right more black) and BP972 (top vs. bottom more black).

Adjacent-numbered pages:
BP790 BP791 BP792 BP793 BP794  *  BP796 BP797 BP798 BP799 BP800

KEYWORD

hard, nice, abstract, dual, handed, leftright, meta (see left/right), miniproblems, presentationmatters, left-finite, right-finite, assumesfamiliarity, structure, experimental, funny

WORLD

bongard_hell [smaller | same | bigger]
zoom in left | zoom in right

AUTHOR

Aaron David Fairbanks

BP796 Image of a Bongard Problem that would sort a blank panel on its left versus image of a Bongard Problem that would sort a blank panel on its right.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP567 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).

Adjacent-numbered pages:
BP791 BP792 BP793 BP794 BP795  *  BP797 BP798 BP799 BP800 BP801

KEYWORD

hard, nice, abstract, dual, handed, leftright, challenge, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant

WORLD

boxes_bpimage [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP805 Bongard Problem sorts example below on the left versus Bongard Problem sorts example below on the right.
(edit; present; nest [left/right]; search; history)
COMMENTS

See BP372 for the version of this with BPs with black shapes as examples instead of boxes.

CROSSREFS

Adjacent-numbered pages:
BP800 BP801 BP802 BP803 BP804  *  BP806 BP807 BP808 BP809 BP810

KEYWORD

nice, dual, handed, leftright, creativeexamples, structure, contributepairs, rules

CONCEPT bongard_problem (info | search),
categorization (info | search),
choice (info | search)

WORLD

boxes_bdimage_six_per_side_extra_below_clear_sort [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP830 Image of a Bongard Problem with left side a "positive" property and right side the "negative" property versus vice versa.
(edit; present; nest [left/right]; search; history)
COMMENTS

Left: the left hand side is enough to communicate the answer; the left pattern can be seen without the counterexamples on the right.

Right: the right hand side is enough to communicate the answer; the right pattern can be seen without counterexamples on the left.


Flipping a BP will switch its sorting.


The following is taken from the comments on page BP513 (keyword left-narrow):

Call a pattern "narrow" if it is likely to be noticed in a collection of examples, without any counterexamples provided.

A collection of triangles will be recognized as such; "triangles" is a narrow pattern. A collection of non-triangular shapes will just be seen as "shapes"; "not triangles" is not narrow.

Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").

CROSSREFS

See keywords left-narrow and right-narrow.

Adjacent-numbered pages:
BP825 BP826 BP827 BP828 BP829  *  BP831 BP832 BP833 BP834 BP835

KEYWORD

dual, handed, leftright, meta (see left/right), miniproblems, contributepairs, viceversa, presentationinvariant

WORLD

boxes_bpimage_three_per_side [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP881 Right pattern is proper subset of left pattern vs. right pattern is not subset of left pattern.
(edit; present; nest [left/right]; search; history)
COMMENTS

You can try to interpret these images as Bongard Problems. This works just when the left side includes no objects that would fit in with the right side (as in EX7357 but not EX7361), the solution is "not [right pattern] vs. [right pattern]"; otherwise there is no apparent solution.


The solvable Bongard Problems sorted left here are right-narrow and not left-narrow, with the left side the negation of the right side (see notso).

CROSSREFS

Adjacent-numbered pages:
BP876 BP877 BP878 BP879 BP880  *  BP882 BP883 BP884 BP885 BP886

KEYWORD

abstract, handed, leftright, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant

WORLD

bpimage_shapes_nosoln_allowed [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP931 Some number labels its own position in the sequence from left to right vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Right examples are called "derangements".

CROSSREFS

Adjacent-numbered pages:
BP926 BP927 BP928 BP929 BP930  *  BP932 BP933 BP934 BP935 BP936

KEYWORD

handed, leftright, sequence, traditional, left-listable, right-listable

CONCEPT number (info | search),
dot (info | search),
self-reference (info | search)

WORLD

dot_clusters_sequence_horizontal [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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