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BP343 No two shapes are the same vs. at least two shapes are the same.
(edit; present; nest [left/right]; search; history)
CROSSREFS

BP57 is the same solution except all examples have two shapes.

Adjacent-numbered pages:
BP338 BP339 BP340 BP341 BP342  *  BP344 BP345 BP346 BP347 BP348

KEYWORD

traditional, collection

CONCEPT existence (info | search),
identical (info | search),
same_shape (info | search),
same (info | search),
two (info | search)

WORLD

shapes [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP347 No pattern (variety of shapes) vs. all shapes have something in common.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP378 for a similar idea using just two objects per example.

Adjacent-numbered pages:
BP342 BP343 BP344 BP345 BP346  *  BP348 BP349 BP350 BP351 BP352

KEYWORD

nice, left-unknowable, right-narrow, traditional, collection

CONCEPT existence (info | search),
shape_cluster (info | search),
cluster_of_one (info | search),
cluster (info | search)

WORLD

several_small_misc [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP349 One object does not belong to the pattern of the rest vs. all objects form one pattern.
(edit; present; nest [left/right]; search; history)
COMMENTS

The left examples are the right examples with one object altered, which makes the solution easier to see.


"Odd one out."

CROSSREFS

Adjacent-numbered pages:
BP344 BP345 BP346 BP347 BP348  *  BP350 BP351 BP352 BP353 BP354

KEYWORD

anticomputer, help, contributepairs, traditional, rules, collection

CONCEPT categorization (info | search),
existence (info | search),
feature_cluster (info | search),
number_cluster (info | search),
shape_cluster (info | search),
cluster_of_one (info | search),
cluster (info | search),
one (info | search)

AUTHOR

Aaron David Fairbanks

BP379 Complete finite collection vs. incomplete finite collection.
(edit; present; nest [left/right]; search; history)
COMMENTS

Related to BP380 and BP792.

CROSSREFS

Adjacent-numbered pages:
BP374 BP375 BP376 BP377 BP378  *  BP380 BP381 BP382 BP383 BP384

KEYWORD

nice, abstract, traditional, rules, miniworlds, collection

CONCEPT completeness (info | search)

WORLD

collection_of_objects_same_type [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP380 The completed version of the collection indicated by the objects is finite vs. the completed version of the collection indicated by the objects is infinite.
(edit; present; nest [left/right]; search; history)
COMMENTS

Related to BP870 and BP792.


An example with clusters of perfect numbers of dots would be sorted ambiguously, for the time being. Unfortunately the 3rd smallest perfect number is 496. - Leo Crabbe, Oct 18 2024

CROSSREFS

Adjacent-numbered pages:
BP375 BP376 BP377 BP378 BP379  *  BP381 BP382 BP383 BP384 BP385

KEYWORD

math, creativeexamples, traditional, rules, miniworlds, collection

CONCEPT finite_infinite (info | search)

AUTHOR

Aaron David Fairbanks

BP384 Square number of dots vs. non-square number of dots.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are a collection of dots.


An equivalent solution is "Dots can be arranged into a square lattice whose convex hull is a square vs. not so". - Leo Crabbe, Aug 01 2020

CROSSREFS

Adjacent-numbered pages:
BP379 BP380 BP381 BP382 BP383  *  BP385 BP386 BP387 BP388 BP389

EXAMPLE

A single dot fits because 1 = 1*1.

A pair of dots does not fit because there is no integer x such that 2 = x*x.

KEYWORD

nice, precise, allsorted, number, math, left-narrow, left-null, help, traditional, preciseworld, collection

CONCEPT square_number (info | search)

WORLD

dots [smaller | same | bigger]

AUTHOR

Jago Collins

BP792 Complete finite collection versus incomplete infinite collection.
(edit; present; nest [left/right]; search; history)
COMMENTS

Related to BP379 and BP380.


EX10061 can ambiguously be taken to be self-referential as the set of left-hand examples (which would make the right hand solution only "incomplete sets") or the class of finite sets.

CROSSREFS

Adjacent-numbered pages:
BP787 BP788 BP789 BP790 BP791  *  BP793 BP794 BP795 BP796 BP797

KEYWORD

abstract, creativeexamples, rules, miniworlds, collection

CONCEPT completeness (info | search),
finite_infinite (info | search)

WORLD

collection_of_objects_same_type [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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