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BP889 Odd number of enclosed regions vs. even number of enclosed regions.
(edit; present; nest [left/right]; search; history)
COMMENTS

The use of numbers and pictures are only a distraction.


See BP966 for the version in which the background counts.

CROSSREFS

Adjacent-numbered pages:
BP884 BP885 BP886 BP887 BP888  *  BP890 BP891 BP892 BP893 BP894

KEYWORD

number

CONCEPT separated_regions (info | search),
even_odd (info | search)

AUTHOR

Thomas Joyce

BP890 Bongard Problem with solution relating to concept: physically fitting vs. Bongard Problem unrelated to this concept.
BP175
BP850
BP892
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP885 BP886 BP887 BP888 BP889  *  BP891 BP892 BP893 BP894 BP895

KEYWORD

meta (see left/right), links, metaconcept

CONCEPT This MBP is about BPs that feature concept: "physically_fitting"

AUTHOR

Leo Crabbe

BP891 Dots can be connected to create one triangle within another vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Or equivalently, "3 dots within boundary of convex hull vs. not so". - Leo Crabbe, Aug 01 2020

CROSSREFS

Adjacent-numbered pages:
BP886 BP887 BP888 BP889 BP890  *  BP892 BP893 BP894 BP895 BP896

KEYWORD

nice, precise, allsorted, preciseworld

CONCEPT convex_hull (info | search),
triangle (info | search)

WORLD

6_dots [smaller | same | bigger]

AUTHOR

Cameron Fetter

BP892 Black shapes can be arranged such that they fit inside rectangular outline vs. not so.
?
(edit; present; nest [left/right]; search; history)
COMMENTS

There is a slight ambiguity here regarding whether a shape could be placed within another shape's hole. This is a question of how one perceives the Problem: are we sliding shapes around on a table in 2D or are we allowed to 'lift' them in 3D space?

CROSSREFS

Adjacent-numbered pages:
BP887 BP888 BP889 BP890 BP891  *  BP893 BP894 BP895 BP896 BP897

KEYWORD

nice, precise, perfect, pixelperfect, help

CONCEPT rotation_required (info | search),
physically_fitting (info | search)

AUTHOR

Leo Crabbe

BP893 As one quantity increases an equally obvious opposite quantity decreases vs. there is only one obvious quantity, which increases as the sequence progresses right.
(edit; present; nest [left/right]; search; history)
COMMENTS

Another way of phrasing the solution: "Neither direction would more naturally be called increase in quantity vs. rightward progression would be called an increase."


Most right examples shown are unboundedly increasing, since finite sequences showing a quantity increasing usually also suggest "distance to end of sequence" as a decreasing opposite quantity. Even so, there are some finite sequences with one direction more intuitively increase-like than the other.

CROSSREFS

Adjacent-numbered pages:
BP888 BP889 BP890 BP891 BP892  *  BP894 BP895 BP896 BP897 BP898

KEYWORD

creativeexamples, structure, rules

WORLD

constant_change_seq_increase_right [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP894 Examples fit solution (once it is known) relatively obviously vs. examples fit solution in subtle or complex, harder-to-see ways.
(edit; present; nest [left/right]; search; history)
COMMENTS

One left and one right example with each solution are shown for help.


This BP is fuzzy for multiple reasons. How obvious it is that an example fits a rule is subjective. Also, somebody could read the simplicity of all included examples as part of a Bongard Problem's solution. For example, the more obvious version of "square number of dots vs. non-square number of dots" could be interpreted as "square small number of dots arranged in easy-to-read way vs. non-square small number of dots arranged in easy-to-read way."


Whether this Bongard Problem solution would categorize an image of itself left or right depends on the difficulty of the solutions of the mini-Problems.

CROSSREFS

See keyword help.

See keyword hardsort.

Adjacent-numbered pages:
BP889 BP890 BP891 BP892 BP893  *  BP895 BP896 BP897 BP898 BP899

KEYWORD

fuzzy, abstract, notso, subjective, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, contributepairs

WORLD

boxes_bpimage_three_per_side [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP895 Meta Bongard Problems that sort Bongard Problems based on other information than just their solutions (e.g. what format the Bongard Problem is, or what specific examples are shown in it) vs. Meta Bongard Problems that sort Bongard Problems purely based on solution.
BP504
BP793
BP795
BP802
BP803
BP827
BP831
BP834
BP871
BP872
BP894
BP1150
BP200
BP796
BP829
BP830
BP832
BP833
BP835
BP836
BP868
BP873
BP874
BP875
BP876
BP877
BP878
BP879
BP880
BP881
BP895
BP927
BP944
BP948
BP952
BP954
BP987
BP1024
BP1025
BP1026
BP1027
BP1028
BP1029
BP1030
BP1031
BP1032
BP1033

. . .

?
BP828
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted Bongard Problems have the keyword "presentationmatters" on the OEBP.

Right-sorted Bongard Problems have the keyword "presentationinvariant" on the OEBP.


Meta Bongard problems that sort Bongard Problems purely based on their solutions usually have two versions in the database: one that sorts images of Bongard Problems and one that sorts links to pages on the OEBP. If both versions exist, users should make them cross-reference one another. (Meta Bongard Problems that sort images of Bongard Problems have the keyword miniproblems, whereas meta Bongard Problems that sort links to OEBP pages have the keyword links.)


For meta-pages on the OEBP that sort other pages on the OEBP (keyword links), "presentationmatters" means factoring in content like the BP number, the currently uploaded examples, the wording of the title, the description, and so on, rather than just the solution (that is, how the page would sort all potential examples). This is unusual.


"One solution vs. multiple solutions" (BP828) seems like a border-case. - Aaron David Fairbanks, Aug 01 2020

CROSSREFS

See BP1010 (projectionmatters versus 3d) for a similar idea: there 2D representations are to 3D objects as here Bongard Problems are to Bongard Problem solutions.

Adjacent-numbered pages:
BP890 BP891 BP892 BP893 BP894  *  BP896 BP897 BP898 BP899 BP900

KEYWORD

fuzzy, meta (see left/right), links, keyword, right-self, sideless, metameta, right-it, dependence, presentationinvariant

WORLD

metabp [smaller | same | bigger]

AUTHOR

Jago Collins

BP896 Filled completely by fluid poured into gap (assuming there is already air) vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

For a non-physics-based solution, "there exists a never-vertically-increasing path starting from the opening to each point in the interior vs. not so." - Aaron David Fairbanks, Aug 01 2020

CROSSREFS

Adjacent-numbered pages:
BP891 BP892 BP893 BP894 BP895  *  BP897 BP898 BP899 BP900 BP901

KEYWORD

nice, handed, updown, physics

CONCEPT liquid_flow (info | search),
gravity (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Zane Fry

BP897 Wide angles connected to narrow angles vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Another solution is that right examples can be folded down flat onto one isosceles triangle while left examples cannot.

All examples in this Problem feature four isosceles triangles connected by corners and/or edges.

CROSSREFS

This was conceived as a false solution for BP898.

Adjacent-numbered pages:
BP892 BP893 BP894 BP895 BP896  *  BP898 BP899 BP900 BP901 BP902

KEYWORD

precise, allsorted, notso, traditional, preciseworld

CONCEPT triangle (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Molly C Klenzak, Aaron David Fairbanks

BP898 Can fold into tetragonal disphenoid ("isosceles tetrahedron") vs. cannot.
(edit; present; nest [left/right]; search; history)
COMMENTS

Which two sides are the long sides and which side is the short side, or equivalently which angles are the wider angles and which angle is the narrower angle, is the only relevant information to consider for each triangle. Triangles are all assumed isosceles and congruent to one another.


All examples in this Problem feature four of these triangles connected by corners and/or edges.

CROSSREFS

BP897 was conceived as a false solution for this.

Adjacent-numbered pages:
BP893 BP894 BP895 BP896 BP897  *  BP899 BP900 BP901 BP902 BP903

KEYWORD

hard, precise, allsorted, notso, math, preciseworld

CONCEPT triangle (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Molly C Klenzak

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