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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.
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(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

BP831 Image of a Bongard Problem with left side having two rules and right side narrowing it down vs. image of Bongard Problem whose right hand side adds no information.
(edit; present; nest [left/right]; search; history)
COMMENTS

Right examples are Bongard Problems in which the left hand side is enough to communicate the full answer.


No examples shown have right side with multiple rules and left side narrowing down the answer.

CROSSREFS

Adjacent-numbered pages:
BP826 BP827 BP828 BP829 BP830  *  BP832 BP833 BP834 BP835 BP836

KEYWORD

hard, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, contributepairs

WORLD

boxes_bpimage_three_per_side [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP871 A reflection can switch an object's sorting vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

In particular, horizontal reflections work in all left examples.

An image of this Bongard Problem would fit on the left.

CROSSREFS

See BP552 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).

Adjacent-numbered pages:
BP866 BP867 BP868 BP869 BP870  *  BP872 BP873 BP874 BP875 BP876

KEYWORD

hard, abstract, challenge, meta (see left/right), miniproblems, creativeexamples, presentationmatters, infodense, assumesfamiliarity, structure

WORLD

bpimage_shapes [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP872 A rotation can switch an object's sorting vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP553 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).

Adjacent-numbered pages:
BP867 BP868 BP869 BP870 BP871  *  BP873 BP874 BP875 BP876 BP877

KEYWORD

hard, challenge, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure

WORLD

bpimage_shapes [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP875 Bongard Problem would sort all relevant examples vs. possible objects similar to those seen on both sides would have no clear sorting.
(edit; present; nest [left/right]; search; history)
COMMENTS

Left examples partition a pool of objects cleanly into two classes.

CROSSREFS

See BP509 (keyword "allsorted") for the version with links to pages on the OEBP instead of images of Bongard Problems.

The left side implies BP876left.

Adjacent-numbered pages:
BP870 BP871 BP872 BP873 BP874  *  BP876 BP877 BP878 BP879 BP880

KEYWORD

hard, challenge, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant

WORLD

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

AUTHOR

Aaron David Fairbanks

BP876 Precise sorting of potential examples vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Left Bongard Problems do not have to sort all relevant examples; if they would leave some border cases unsorted, it just has to be clear precisely which examples those would be.


Often a precise divide between values on a spectrum comes from intuitively "crossing a threshold." For example, there is an intuitive threshold between acute and obtuse angles. Two sides of a Bongard Problem on opposite ends of a threshold, coming close to it, are interpreted as having precise divide between sides, right up against that threshold.

CROSSREFS

See BP508 for the version with links to pages on the OEBP instead of images of Bongard Problems.

Adjacent-numbered pages:
BP871 BP872 BP873 BP874 BP875  *  BP877 BP878 BP879 BP880 BP881

KEYWORD

hard, notso, challenge, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant

WORLD

bpimage_shapes [smaller | same | bigger]
zoom in left (bpimage_shapes_exact_sort)

AUTHOR

Aaron David Fairbanks

BP877 "Less than vs. greater than" (or vice versa) vs. "equal to vs. greater than" (or less than).
(edit; present; nest [left/right]; search; history)
COMMENTS

Left examples are quantity-comparison Problems in which the dividing point on the spectrum separating the sides lands between them. Right examples are quantity-comparison Problems in which the dividing point is the entirety of one of the sides (always the left side, for clarity).

Only less-than vs. greater-than Problems may have imprecise (BP876right) dividing point between sides.

CROSSREFS

Adjacent-numbered pages:
BP872 BP873 BP874 BP875 BP876  *  BP878 BP879 BP880 BP881 BP882

KEYWORD

hard, challenge, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant

WORLD

bpimage_shapes_quantity_soln [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP878 Some object(s) fit precisely between the sides vs. there is no object fitting between the sides.
(edit; present; nest [left/right]; search; history)
COMMENTS

"Allsorted" Bongard Problems (BP875left) always fit as right examples.

Left examples are never "allsorted".

CROSSREFS

Adjacent-numbered pages:
BP873 BP874 BP875 BP876 BP877  *  BP879 BP880 BP881 BP882 BP883

KEYWORD

hard, challenge, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant

WORLD

bpimage_shapes_exact_sort [smaller | same | bigger]
zoom in left | zoom in right (bpimage_shapes_exact_sort_no_midway)

AUTHOR

Aaron David Fairbanks

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