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Search: author:Aaron David Fairbanks
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BP368 There is a point that can see (in straight lines) all points vs. there is no point that can see (in straight lines) all points.
(edit; present; nest [left/right]; search; history)
COMMENTS

Left examples are called "star domains."

CROSSREFS

See BP388 for whether a distinguished point can see all points.

Adjacent-numbered pages:
BP363 BP364 BP365 BP366 BP367  *  BP369 BP370 BP371 BP372 BP373

KEYWORD

nice, precise, unstable, perfect, traditional

CONCEPT all (info | search),
existence (info | search),
imagined_point (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search)

WORLD

shape [smaller | same | bigger]
zoom in left (fill_shape_with_seeing_point)

AUTHOR

Aaron David Fairbanks

BP367 Center of mass within the black area of the shape vs. center of mass out of the black area of the shape.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP362 BP363 BP364 BP365 BP366  *  BP368 BP369 BP370 BP371 BP372

KEYWORD

precise, unstable, physics, perfect, pixelperfect, traditional

CONCEPT inside (info | search),
center_of_mass (info | search)

WORLD

shape [smaller | same | bigger]
zoom in left (shape_center_of_mass_falls_inside)

AUTHOR

Aaron David Fairbanks

BP366 White dot is at center of mass vs. white dot is not at center of mass.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP361 BP362 BP363 BP364 BP365  *  BP367 BP368 BP369 BP370 BP371

KEYWORD

physics, traditional

CONCEPT center_of_mass (info | search)

AUTHOR

Aaron David Fairbanks

BP365 Two independent quantities changing simultaneously vs. determined by just one changing quantity.
(edit; present; nest [left/right]; search; history)
COMMENTS

Examples sorted right may feature multiple quantities, but one changing quantity determines all changing quantities.


The distinction between the two sides is fuzzy. For example the left-sorted example EX4364 could be viewed as determined by just the one changing quantity of width and the fact that the height is given by two times the width minus one. On the other hand the right-sorted example EX4370 could be viewed as determined by the two changing quantities number of black squares and number of white squares, ignoring the fact that the total number of squares is always six.

CROSSREFS

Adjacent-numbered pages:
BP360 BP361 BP362 BP363 BP364  *  BP366 BP367 BP368 BP369 BP370

KEYWORD

fuzzy, traditional, rules, miniworlds

CONCEPT size_increase_decrease (info | search),
tracing_line_or_curve (info | search)

WORLD

constant_change_seq_increase_right [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP364 Two clearly separable groups vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

An image of this Bongard Problem will fit as a left example for itself.

CROSSREFS

Adjacent-numbered pages:
BP359 BP360 BP361 BP362 BP363  *  BP365 BP366 BP367 BP368 BP369

KEYWORD

nice, fuzzy, right-null, contributepairs, traditional, miniworlds

CONCEPT feature_cluster (info | search),
cluster (info | search)

AUTHOR

Aaron David Fairbanks

BP363 Counterclockwise along the curve following the arrow vs. clockwise along the curve following the arrow.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP358 BP359 BP360 BP361 BP362  *  BP364 BP365 BP366 BP367 BP368

KEYWORD

easy, nice, dual, handed, leftright, updown, gap, traditional

CONCEPT arrow (info | search),
turn_orientation (info | search),
tracing_line_or_curve (info | search)

AUTHOR

Aaron David Fairbanks

BP362 Image that solves the analogy exists vs. image that solves the analogy does not exist.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP357 BP358 BP359 BP360 BP361  *  BP363 BP364 BP365 BP366 BP367

KEYWORD

creativeexamples, assumesfamiliarity, structure, rules

CONCEPT analogy (info | search),
imagined_shape (info | search),
imagined_entity (info | search)

AUTHOR

Aaron David Fairbanks

BP361 Analogy makes sense vs. analogy does not make sense.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP356 BP357 BP358 BP359 BP360  *  BP362 BP363 BP364 BP365 BP366

KEYWORD

nice, creativeexamples, assumesfamiliarity, structure, traditional, rules

CONCEPT analogy (info | search)

AUTHOR

Aaron David Fairbanks

BP360 Order is high (low entropy) vs. order is low (high entropy).
(edit; present; nest [left/right]; search; history)
COMMENTS

"Order versus chaos."

CROSSREFS

Adjacent-numbered pages:
BP355 BP356 BP357 BP358 BP359  *  BP361 BP362 BP363 BP364 BP365

KEYWORD

nice, abstract, collective, contributepairs, traditional, miniworlds

CONCEPT pattern_or_random (info | search)

AUTHOR

Aaron David Fairbanks

BP359 Random arrangement of pixels vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

By "random" we mean it's reasonable to expect each pixel in the image was chosen with a constant, consistent chance of being black or white.

CROSSREFS

Adjacent-numbered pages:
BP354 BP355 BP356 BP357 BP358  *  BP360 BP361 BP362 BP363 BP364

KEYWORD

nice, right-narrow, collective, experimental, blackwhiteinvariant

CONCEPT pattern_or_random (info | search)

WORLD

bmp [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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