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BP578 Bongard Problem with solution relating to concept: above / below vs. Bongard Problem unrelated to this concept.
BP36
BP37
BP48
BP67
BP68
BP337
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP573 BP574 BP575 BP576 BP577  *  BP579 BP580 BP581 BP582 BP583

KEYWORD

meta (see left/right), links, metaconcept

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

WORLD

bp [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP577 Concept MBPs about "primitive" concepts vs. concept MBPs about "composite" concepts.
BP580
BP581
BP585
BP587
BP588
BP589
BP592
BP593
BP595
BP596
BP600
BP603
BP604
BP606
BP608
BP609
BP610
BP613
BP615
BP616
BP617
BP621
BP622
BP623
BP626
BP627
BP629
BP634
BP637
BP639
BP641
BP650
BP651
BP652
BP653

. . .

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

This is the keyword "primitive" on the OEBP.

These concepts are primitive to visual cognition.

CROSSREFS

Adjacent-numbered pages:
BP572 BP573 BP574 BP575 BP576  *  BP578 BP579 BP580 BP581 BP582

KEYWORD

meta (see left/right), links, keyword, metameta

WORLD

metaconcept [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP576 Vertices may be partitioned into two sets such that no two vertices in the same set are connected versus not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Left examples are called "bipartite graphs."

CROSSREFS

Adjacent-numbered pages:
BP571 BP572 BP573 BP574 BP575  *  BP577 BP578 BP579 BP580 BP581

KEYWORD

precise, allsorted, notso, math, traditional, preciseworld

CONCEPT graph (info | search),
distinguishing_crossing_curves (info | search)

WORLD

graph [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP575 Non-number-based Bongard Problems vs. Bongard Problems whose solutions only depend on counting the number of something.
BP6
BP10
BP23
BP85
BP86
BP87
BP88
BP89
BP90
BP91
BP96
BP98
BP107
BP110
BP150
BP202
BP203
BP204
BP232
BP277
BP334
BP384
BP569
BP889
BP915
BP945
BP966
BP988
BP989
BP1226
(edit; present; nest [left/right]; search; history)
COMMENTS

Right examples have the keyword "number" on the OEBP. The solution must only depend on counting the number of something: no comparison between numbers of different things.


When a "number" Bongard Problem sorts numbers unambiguously (keyword precise), the left side and the right side define disjoint sets of numbers. When a "number" Bongard Problem sorts all numbers (keyword allsorted), the subsets are complements of one another.


Many but not all right examples require nontrivial mathematical knowledge to solve (keyword math).

CROSSREFS

BP200 is a version of this with sides flipped, sorting pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP, and with emphasis on feature-based solutions as an alternative to number-based solutions.

Adjacent-numbered pages:
BP570 BP571 BP572 BP573 BP574  *  BP576 BP577 BP578 BP579 BP580

KEYWORD

meta (see left/right), links, keyword, dependence

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP574 BP page intends to include all possible examples fitting right vs. other BP pages.
BP544
BP854
BP953
BP959
BP962
BP1056
BP1141
BP1219
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted BPs have the keyword "right-full" on the OEBP.


BPs are sorted based on how BP573 (left-full) would sort them were they flipped; see that page for a description.

CROSSREFS

For non-meta BPs, right-full implies right-finite (at least until the OEBP implements a feature that allows algorithmic generation of infinite examples).

Adjacent-numbered pages:
BP569 BP570 BP571 BP572 BP573  *  BP575 BP576 BP577 BP578 BP579

KEYWORD

meta (see left/right), links, keyword

WORLD

bppage [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP573 BP page intends to include all possible examples fitting left vs. other BP pages.
BP1
BP537
BP854
BP868
BP902
BP920
BP959
BP962
BP1056
BP1156
BP1219
BP1220
BP1263
BP867
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted BPs have the keyword "left-full" on the OEBP.


For meta-BPs about solution ideas, left-full only means the BP page hopes to include all fitting BP pages on the OEBP (as opposed to all possible Bongard Problems).


As with applying the keywords left-finite and right-finite, deciding what should count as "different" examples depends on the Bongard Problem.


Note this is not just BP574 (right-full) flipped.


TODO: Maybe this should be changed into two keywords: one for non-meta-BPs and one for meta-BPs. - Aaron David Fairbanks, Feb 11 2021

CROSSREFS

For non-meta BPs, left-full implies left-finite (at least until the OEBP implements a feature that allows algorithmic generation of infinite examples).

Adjacent-numbered pages:
BP568 BP569 BP570 BP571 BP572  *  BP574 BP575 BP576 BP577 BP578

KEYWORD

meta (see left/right), links, keyword

WORLD

bppage [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP572 Physical Bongard Problems vs. other visual Bongard Problems
BP199
BP234
BP273
BP274
BP336
BP358
BP366
BP367
BP536
BP551
BP850
BP896
BP933
BP1016
BP1095
BP1256
(edit; present; nest [left/right]; search; history)
COMMENTS

Left examples have the keyword "physics" on the OEBP. These are visual Bongard Problems that are most easily recognized by people as depicting some physics-related phenomenon. Usually, since physics is described by mathematics, this means there is also a (perhaps complicated) solution that can be described in terms of pure geometry.

CROSSREFS

See also keyword math.

Adjacent-numbered pages:
BP567 BP568 BP569 BP570 BP571  *  BP573 BP574 BP575 BP576 BP577

KEYWORD

meta (see left/right), links, keyword, wellfounded

WORLD

visualbp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP571 Bongard Problems that require mathematical understanding to solve vs. other Bongard Problems.
BP171
BP203
BP319
BP326
BP327
BP333
BP334
BP335
BP339
BP340
BP341
BP344
BP369
BP370
BP378
BP380
BP381
BP382
BP384
BP505
BP560
BP562
BP563
BP569
BP576
BP788
BP790
BP791
BP797
BP801
BP806
BP809
BP810
BP811
BP813

. . .

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

Left examples have the keyword "math" on the OEBP.


Although everything is arguably related to math, these BP solutions include content that people don't inherently understand without learning at least some mathematics.


Left examples do not technically have "culturally-dependent" content (keyword culture), but knowledge and previous learning plays a role in how easy they are to solve.

CROSSREFS

Adjacent-numbered pages:
BP566 BP567 BP568 BP569 BP570  *  BP572 BP573 BP574 BP575 BP576

KEYWORD

fuzzy, meta (see left/right), links, keyword

WORLD

bp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP570 Shape outlines that aren't triangles vs. black shapes that aren't squares.
(edit; present; nest [left/right]; search; history)
COMMENTS

An example of an overriddensolution.

CROSSREFS

Adjacent-numbered pages:
BP565 BP566 BP567 BP568 BP569  *  BP571 BP572 BP573 BP574 BP575

KEYWORD

less, example, overriddensolution, experimental, funny, neither

WORLD

outline_or_fill_shape [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP569 Triangular number of dots vs. non-triangular number of dots
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are groups of black dots.


The nth triangular number is the sum over the natural numbers from 1 to n, where n > 0. Note: 0 is the 0th triangular number. The first few triangular numbers are 0, 1, 3 (= 1+2) and 6 (= 1+2+3)

CROSSREFS

Adjacent-numbered pages:
BP564 BP565 BP566 BP567 BP568  *  BP570 BP571 BP572 BP573 BP574

KEYWORD

nice, precise, allsorted, notso, number, math, left-narrow, left-null, help, preciseworld

WORLD

dots [smaller | same | bigger]

AUTHOR

Leo Crabbe

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