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BP317 Number of enclosed black circles varies in correlation with enclosing circle outline size vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

This is a Bongard Problem about comparing something discrete (number) with something continuous (size).


The inner black circles vary in size randomly. (This forces the solution to be about the discrete number of black circles instead of their combined area.)

CROSSREFS

Adjacent-numbered pages:
BP312 BP313 BP314 BP315 BP316  *  BP318 BP319 BP320 BP321 BP322

KEYWORD

nice, traditional

CONCEPT inside (info | search),
dot (info | search),
proportional (info | search)

AUTHOR

Aaron David Fairbanks

BP318 The numbers of dots can be put into a sequence of consecutive numbers vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP313 BP314 BP315 BP316 BP317  *  BP319 BP320 BP321 BP322 BP323

KEYWORD

nice, traditional

CONCEPT size_increase_decrease (info | search),
iteration (info | search),
number (info | search),
ordinal_orering (info | search),
dot (info | search),
sequence (info | search)

WORLD

dot_clusters [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP320 The numbers of dots in the two clusters are approximately equal (log scale) vs. the numbers of dots in the two clusters differ a lot.
(edit; present; nest [left/right]; search; history)
COMMENTS

The point is that, on the left, the two groups look about the same to the eye at first glance.


In left examples the numbers are off by a factor of 7/6 or less vs. in right examples the numbers are off by a factor of 2 or greater.

CROSSREFS

Adjacent-numbered pages:
BP315 BP316 BP317 BP318 BP319  *  BP321 BP322 BP323 BP324 BP325

KEYWORD

nice, traditional

CONCEPT numerosity (info | search),
similar_number (info | search),
similar (info | search)

WORLD

two_dot_clusters [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP321 Small round object unreachable from the border of the box vs. small round object reachable from the border of the box.
(edit; present; nest [left/right]; search; history)
COMMENTS

Equivalently, "small round object enclosed by white loop vs. not so."

CROSSREFS

Adjacent-numbered pages:
BP316 BP317 BP318 BP319 BP320  *  BP322 BP323 BP324 BP325 BP326

KEYWORD

nice, precise, allsorted, boundingbox, perfect, pixelperfect, traditional, bordercontent

CONCEPT bounding_box (info | search),
path (info | search),
reachable (info | search)

AUTHOR

Aaron David Fairbanks

BP322 One outer outline vs. more than one outer outline.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP317 BP318 BP319 BP320 BP321  *  BP323 BP324 BP325 BP326 BP327

KEYWORD

nice, precise, allsorted, traditional

CONCEPT separated_regions (info | search),
interior_exterior (info | search),
outer_outline (info | search),
recursion (info | search),
one (info | search)

WORLD

nest_shapes [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP328 All sides are equal vs. all angles are equal.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP323 BP324 BP325 BP326 BP327  *  BP329 BP330 BP331 BP332 BP333

KEYWORD

nice, stretch, left-narrow, right-narrow, traditional, finishedexamples, both

CONCEPT angle (info | search),
length_line_or_curve (info | search),
same_feature (info | search),
same (info | search)

WORLD

polygon_outline [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP335 Tessellates the plane vs. does not tessellate the plane.
(edit; present; nest [left/right]; search; history)
COMMENTS

EX7152 is an example of a shape than can be stretched in such a way that it no longer tessellates the plane. This is a property that is only exhibited by shapes that tessellate with rotated copies of themselves. - Leo Crabbe, Mar 05 2021

CROSSREFS

Adjacent-numbered pages:
BP330 BP331 BP332 BP333 BP334  *  BP336 BP337 BP338 BP339 BP340

KEYWORD

nice, stretch, unstable, math, hardsort, creativeexamples, proofsrequired, perfect, pixelperfect, traditional

CONCEPT infinite_plane (info | search),
tessellation (info | search),
tiling (info | search)

WORLD

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

AUTHOR

Aaron David Fairbanks

BP336 Any one gear turns all vs. no gear turns all.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP536 for all gears can turn.

Adjacent-numbered pages:
BP331 BP332 BP333 BP334 BP335  *  BP337 BP338 BP339 BP340 BP341

KEYWORD

nice, stretch, physics, traditional

CONCEPT all (info | search),
turn_orientation (info | search),
every_other (info | search),
gear (info | search),
on_line_or_curve (info | search),
tracing_line_or_curve (info | search),
imagined_motion (info | search),
motion (info | search)

WORLD

gears [smaller | same | bigger]
zoom in left | zoom in right

AUTHOR

Aaron David Fairbanks

BP337 Black is below upward slopes vs. black is below downward slopes.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP332 BP333 BP334 BP335 BP336  *  BP338 BP339 BP340 BP341 BP342

KEYWORD

nice, dual, handed, leftright, updown, blackwhite, traditional

CONCEPT above_below (info | search),
downward_upward (info | search),
outlined_filled (info | search),
texture (info | search)

AUTHOR

Aaron David Fairbanks

BP345 Intersection of circle and square vs. union of circle and square.
(edit; present; nest [left/right]; search; history)
COMMENTS

An image of only a circle or of only a square would be ambiguously categorized.

CROSSREFS

Adjacent-numbered pages:
BP340 BP341 BP342 BP343 BP344  *  BP346 BP347 BP348 BP349 BP350

KEYWORD

nice, left-narrow, right-narrow, traditional, both

CONCEPT set_intersection (info | search),
set_union (info | search),
imagined_shape (info | search),
imagined_entity (info | search),
overlap (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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