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BP391 There exists an edge such that removing it yields two disconnected graphs (i.e., the minimum number of edges whose removal results in two disconnected graphs is 1) vs. the minimum number of edges whose removal results in two disconnected graphs is 2.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP386 BP387 BP388 BP389 BP390  *  BP392 BP393 BP394 BP395 BP396

KEYWORD

nice, precise, traditional, preciseworld

CONCEPT graph (info | search),
distinguishing_crossing_curves (info | search),
existence (info | search),
imagined_shape (info | search),
imagined_entity (info | search)

WORLD

connected_graph [smaller | same | bigger]

AUTHOR

Jago Collins

BP393 Correct vs. incorrect.
(edit; present; nest [left/right]; search; history)
COMMENTS

"True" vs. "false."

CROSSREFS

Adjacent-numbered pages:
BP388 BP389 BP390 BP391 BP392  *  BP394 BP395 BP396 BP397 BP398

KEYWORD

nice, fuzzy, abstract, collective, contributepairs, traditional, rules, miniworlds, dithering

CONCEPT categorization (info | search),
true_false (info | search)

AUTHOR

Jago Collins

BP394 For each colored square only, there exists a path starting on it that covers each square of the figure exactly once vs. there is no path that starts on a colored square and covers each square of the figure exactly once.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP389 BP390 BP391 BP392 BP393  *  BP395 BP396 BP397 BP398 BP399

KEYWORD

hard, nice, solved, traditional, dithering, left-listable, right-listable

CONCEPT existence (info | search),
path (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search)

AUTHOR

Jago Collins

BP517 Meta Bongard Problems that sort themselves left vs. meta Bongard Problems that sort themselves right.
BP512
BP518
BP537
BP541
BP542
BP544
BP547
BP561
BP794
BP867
BP902
BP967
BP1000
BP1007
BP1074
BP1075
BP1113
BP1126
BP1150
BP1158
BP508
BP509
BP522
BP539
BP546
BP565
BP821
BP895
BP919
BP950
BP1162
BP1194
?
BP517
?
BP1073
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted BPs have the keyword "left-self" on the OEBP. Right-sorted BPs have the keyword "right-self."

These keywords are added to pages automatically.


Rhetorical questions: Where does this BP sort itself? Where does this BP sort the flipped version of itself?

CROSSREFS

See BP793 for the version sorting pictures of Bongard Problems (miniproblems) instead of links to pages on the OEBP.


See BP1075 for an example of a BP that is tagged "left-self" but would still be tagged "left-self" after the sides in the title were flipped. (This is unusual; a "left-self" BP after being flipped is typically "right-self" and vice versa.)

Adjacent-numbered pages:
BP512 BP513 BP514 BP515 BP516  *  BP518 BP519 BP520 BP521 BP522

KEYWORD

nice, dual, meta (see left/right), links, keyword, side, metameta, feedback

WORLD

Multiple options:
linksbp [smaller | same | bigger],
bp_in_own_world [smaller | same | bigger]
zoom in left | zoom in right

AUTHOR

Aaron David Fairbanks

BP523 Same amount of black in any vertical slice vs. varying amounts of black in vertical slices.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP518 BP519 BP520 BP521 BP522  *  BP524 BP525 BP526 BP527 BP528

KEYWORD

nice, precise, rotate, stretch, unstable, perfect, pixelperfect, traditional

WORLD

shapes_can_touch_box [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP533 Contains smaller copy of itself vs. doesn't.
(edit; present; nest [left/right]; search; history)
COMMENTS

A smaller copy of EX6409 (the black area) can be located within itself, but some of the white space inside it is not retained in this smaller copy.

CROSSREFS

Adjacent-numbered pages:
BP528 BP529 BP530 BP531 BP532  *  BP534 BP535 BP536 BP537 BP538

KEYWORD

nice, perfect, infinitedetail, contributepairs

CONCEPT fractal (info | search),
recursion (info | search),
self-reference (info | search)

WORLD

connected_built_from_self_tile_fractals [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP543 Image depicting infinitely many objects vs. image depicting finitely many objects.
(edit; present; nest [left/right]; search; history)
COMMENTS

Another solution is "evokes infinity vs. not so." Or "seen as having arbitrarily fine detail." All left examples show objects getting smaller and smaller and closer and closer together approaching some limit within the box.

CROSSREFS

Adjacent-numbered pages:
BP538 BP539 BP540 BP541 BP542  *  BP544 BP545 BP546 BP547 BP548

KEYWORD

nice, abstract, concept, infinitedetail

CONCEPT finite_infinite (info | search)

AUTHOR

Aaron David Fairbanks

BP557 Equal horizontal length vs. not
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are pairs of straight line segments.


This problem communicates the idea of projected distance, in this case from 2D to 1D (x-axis).

CROSSREFS

Adjacent-numbered pages:
BP552 BP553 BP554 BP555 BP556  *  BP558 BP559 BP560 BP561 BP562

KEYWORD

nice, precise, allsorted, stretch, perfect, unorderedpair, preciseworld

CONCEPT projection (info | search)

WORLD

two_segments [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP558 Point sequence that is increasing or decreasing in height vs. point sequence that alternates in height
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are groups of 3 dots.


Any example where 2 adjacent dots have the same height would be ambiguously sorted.

CROSSREFS

Adjacent-numbered pages:
BP553 BP554 BP555 BP556 BP557  *  BP559 BP560 BP561 BP562 BP563

EXAMPLE

Reading from right to left in the first box on the left hand side: the 2nd dot is higher than the 1st, and the 3rd is higher than the 2nd, so the sequence of dots is strictly increasing in height.

KEYWORD

nice, precise, antihuman, orderedtriplet, preciseworld

CONCEPT coordinate (info | search)

WORLD

three_points [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP559 Cross section of a cube vs. not cross section of a cube
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are solid black shapes.


This problem is absurdly hard. It makes a good extreme example. - Aaron David Fairbanks, Nov 23 2020

CROSSREFS

Adjacent-numbered pages:
BP554 BP555 BP556 BP557 BP558  *  BP560 BP561 BP562 BP563 BP564

KEYWORD

hard, nice, precise, allsorted, notso, stretch, challenge, left-narrow, perfect

CONCEPT cube (info | search),
cross_section (info | search)

WORLD

fill_shape [smaller | same | bigger]

AUTHOR

Leo Crabbe

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