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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

BP319 The number of dots in one cluster is a multiple of the other vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP314 BP315 BP316 BP317 BP318  *  BP320 BP321 BP322 BP323 BP324

KEYWORD

math, unorderedpair, traditional

CONCEPT multiple_of (info | search),
number (info | search),
dot (info | search),
proportional (info | search)

WORLD

two_dot_clusters [smaller | same | bigger]

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

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

BP316 At least one path is a cycle vs. no path is a cycle.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP311 BP312 BP313 BP314 BP315  *  BP317 BP318 BP319 BP320 BP321

KEYWORD

traditional

CONCEPT cyclic_path (info | search),
maze (info | search),
path (info | search)

AUTHOR

Jakub Štepo

BP315 One area unreachable by the marked locations vs. all areas reachable by the marked locations.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP310 BP311 BP312 BP313 BP314  *  BP316 BP317 BP318 BP319 BP320

KEYWORD

traditional

CONCEPT maze (info | search),
reachable (info | search)

AUTHOR

Jakub Štepo

BP314 Long distance between the marked locations vs. short distance between the marked locations.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP309 BP310 BP311 BP312 BP313  *  BP315 BP316 BP317 BP318 BP319

KEYWORD

traditional

CONCEPT length_line_or_curve (info | search),
maze (info | search),
path (info | search)

AUTHOR

Jakub Štepo

BP313 Closed curves clockwise, open curves counterclockwise vs. closed curves counterclockwise, open curves clockwise.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP308 BP309 BP310 BP311 BP312  *  BP314 BP315 BP316 BP317 BP318

KEYWORD

dual, handed, leftright, updown, traditional

CONCEPT turn_orientation (info | search),
closed_open (info | search)

AUTHOR

Jakub Štepo

BP312 Lines intersect within the box vs. lines intersect out of the box.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP307 BP308 BP309 BP310 BP311  *  BP313 BP314 BP315 BP316 BP317

KEYWORD

precise, allsorted, boundingbox, perfect, unorderedpair, traditional, preciseworld, absoluteposition

CONCEPT completed_out_of_box (info | search),
vertex_of_meeting_lines (info | search),
imagined_point (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search)

AUTHOR

Jakub Štepo

BP311 Number of sides minus number of pluses = 3 vs. number of sides minus number of pluses = 4.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP306 BP307 BP308 BP309 BP310  *  BP312 BP313 BP314 BP315 BP316

KEYWORD

traditional

CONCEPT subtraction (info | search),
number (info | search)

AUTHOR

Jakub Štepo

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