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BP818 Dot's position within square is center of square's position within panel vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this problem are dots inside square outlines.

CROSSREFS

Similar to BP1122 (the "fractal" version).

Adjacent-numbered pages:
BP813 BP814 BP815 BP816 BP817  *  BP819 BP820 BP821 BP822 BP823

KEYWORD

nice, notso, boundingbox, absoluteposition

CONCEPT bounding_box (info | search),
self-reference (info | search),
center (info | search),
distance_from_center (info | search)

WORLD

point_inside_square [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP820 Shape can be combined with a copy of itself to form a convex shape vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

For the generalization of this property, see BP991.



Adjacent-numbered pages:
BP815 BP816 BP817 BP818 BP819  *  BP821 BP822 BP823 BP824 BP825

KEYWORD

nice, precise, allsorted

CONCEPT tiling (info | search)

WORLD

fill_shape [smaller | same | bigger]
zoom in left

AUTHOR

Isaac Hathaway

BP821 Impossible Bongard Problems vs. possible Bongard Problems.
BP868
BP915
BP1263
BP252
BP821
(edit; present; nest [left/right]; search; history)
COMMENTS

Bongard Problems sorted left have the keyword "impossible" on the OEBP.


"Impossible Bongard Problem" is a loose term, but it roughly means the Bongard Problem solution idea can't be displayed as an image.


BP868, the version of this whose examples are images of Bongard Problems (miniproblems), rather than links to pages on the OEBP, is impossible. - Aaron David Fairbanks, Jul 29 2020

CROSSREFS

See overriddensolution for solutions that Bongard Problems can have, but that will not be chosen by a reasonable person as the best solution.

Adjacent-numbered pages:
BP816 BP817 BP818 BP819 BP820  *  BP822 BP823 BP824 BP825 BP826

KEYWORD

meta (see left/right), links, keyword, right-self

CONCEPT impossible (info | search)

WORLD

bp [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP822 Two drawn polyhedra are duals vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP817 BP818 BP819 BP820 BP821  *  BP823 BP824 BP825 BP826 BP827

KEYWORD

math, 3d, unorderedpair

AUTHOR

Aaron David Fairbanks

BP823 Conic section (plot of solution to conic equation) vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP818 BP819 BP820 BP821 BP822  *  BP824 BP825 BP826 BP827 BP828

KEYWORD

notso, math, left-couldbe

AUTHOR

Aaron David Fairbanks

BP824 Objects shown chosen from collection in an ordered, algorithmic way vs. random choices involved.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP819 BP820 BP821 BP822 BP823  *  BP825 BP826 BP827 BP828 BP829

KEYWORD

abstract

AUTHOR

Aaron David Fairbanks

BP825 Ticks mark an infinite sequence of angles on circle such that each angle is the double of the subsequent angle in the sequence (angle measured from rightmost indicated point) vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

This is solvable; it was solved by Sridhar Ramesh.


A full turn is considered "the same angle" as no turns; likewise for adding and subtracting full turns from any angle. All sequences of angles shown start at the rightmost tick.


It doesn't matter whether the angle is measured clockwise or counterclockwise, as long as the choice is consistent.

CROSSREFS

Adjacent-numbered pages:
BP820 BP821 BP822 BP823 BP824  *  BP826 BP827 BP828 BP829 BP830

KEYWORD

hard, convoluted, notso, math, solved

CONCEPT sequence (info | search)

AUTHOR

Aaron David Fairbanks

BP826 Hard Bongard Problems a person has been seen to solve without cheating vs. hard Bongard Problems no one is known to have solved yet without cheating.
BP394
BP564
BP793
BP813
BP825
BP849
BP904
BP927
BP934
BP955
BP957
BP1129
BP1130
BP559
BP796
BP801
BP860
BP871
BP872
BP875
BP876
BP877
BP878
BP944
BP954
BP998
BP1011
BP1038
BP1040
BP1120
BP1200
BP1245
(edit; present; nest [left/right]; search; history)
COMMENTS

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

Right examples have the keyword "challenge" on the OEBP.

CROSSREFS

Adjacent-numbered pages:
BP821 BP822 BP823 BP824 BP825  *  BP827 BP828 BP829 BP830 BP831

KEYWORD

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

AUTHOR

Aaron David Fairbanks

BP827 Image of noisy Bongard Problem vs. image of Bongard Problem with minimal noise.
(edit; present; nest [left/right]; search; history)
COMMENTS

"Noise" is a property that changes between examples which is independent to the solution property.

CROSSREFS

See BP511 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).

See BP845 for noise in sequences of quantity increase.

Adjacent-numbered pages:
BP822 BP823 BP824 BP825 BP826  *  BP828 BP829 BP830 BP831 BP832

KEYWORD

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

WORLD

boxes_bpimage_three_per_side [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP828 Image of Bongard Problem with one simple solution vs. image of Bongard Problem with two "independent" simple solutions.
(edit; present; nest [left/right]; search; history)
COMMENTS

Properties are considered independent if none logically implies the other (or its opposite).


Another way of putting it is that on the right, the most descriptive good solution is of the form "[property 1] AND [property 2] vs. neither".

CROSSREFS

Adjacent-numbered pages:
BP823 BP824 BP825 BP826 BP827  *  BP829 BP830 BP831 BP832 BP833

KEYWORD

nice, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure

CONCEPT exists_one (info | search),
two (info | search)

WORLD

boxes_bpimage_three_per_side [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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