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BP377 The two objects have similar representations vs. the two objects have dissimilar representations.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP372 BP373 BP374 BP375 BP376  *  BP378 BP379 BP380 BP381 BP382

KEYWORD

unorderedpair, traditional

CONCEPT similar_representation (info | search),
similar (info | search)

AUTHOR

Aaron David Fairbanks

BP378 The two objects are conceptually related vs. the two objects are conceptually unrelated.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP347, which is similar.

Adjacent-numbered pages:
BP373 BP374 BP375 BP376 BP377  *  BP379 BP380 BP381 BP382 BP383

KEYWORD

abstract, math, unorderedpair, traditional

CONCEPT same_concept (info | search),
same (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

BP381 Adding the top two waves yields the bottom wave vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

This problem is about wave interference.

CROSSREFS

Adjacent-numbered pages:
BP376 BP377 BP378 BP379 BP380  *  BP382 BP383 BP384 BP385 BP386

KEYWORD

nice, notso, math, orderedtriplet, traditional

CONCEPT addition (info | search),
wave (info | search),
2_inputs_1_output (info | search)

AUTHOR

Aaron David Fairbanks

BP382 No knot (unknot) vs. knot.
(edit; present; nest [left/right]; search; history)
COMMENTS

To hint at the solution, left examples can be arranged in a sequence to show the unknot tying itself.

CROSSREFS

Adjacent-numbered pages:
BP377 BP378 BP379 BP380 BP381  *  BP383 BP384 BP385 BP386 BP387

KEYWORD

nice, math, anticomputer, help, traditional

CONCEPT knot (info | search),
topological_transformation (info | search)

WORLD

knot [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP383 When the shape is removed from the dots, the dots give enough information to place the shape back where it was vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP378 BP379 BP380 BP381 BP382  *  BP384 BP385 BP386 BP387 BP388

KEYWORD

hard, nice, traditional

CONCEPT imagined_line_or_curve (info | search),
imagined_entity (info | search),
convey_enough_information (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

BP385 Nets of cubes vs. not nets of cubes.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP380 BP381 BP382 BP383 BP384  *  BP386 BP387 BP388 BP389 BP390

KEYWORD

nice, notso, left-finite, traditional

CONCEPT 3d_net (info | search)

WORLD

square_outlines_sharing_edges [smaller | same | bigger]
zoom in left (cube_net)

AUTHOR

Jago Collins

BP386 Lower shape can be used as a tile to build the upper one vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP381 BP382 BP383 BP384 BP385  *  BP387 BP388 BP389 BP390 BP391

KEYWORD

nice, precise, allsorted, left-narrow, perfect, pixelperfect, orderedpair, traditional, preciseworld, left-listable, right-listable

CONCEPT tiling (info | search)

AUTHOR

Jago Collins

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