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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

BP387 Dots can be shared equally between figures vs. dots cannot be shared equally between figures.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP382 BP383 BP384 BP385 BP386  *  BP388 BP389 BP390 BP391 BP392

KEYWORD

nice, traditional

CONCEPT division (info | search)

AUTHOR

Jago Collins

BP388 White dot can see (in straight lines) all black points vs. white dot cannot see (in straight lines) all black points.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP368 for whether ALL points can see all points.

Adjacent-numbered pages:
BP383 BP384 BP385 BP386 BP387  *  BP389 BP390 BP391 BP392 BP393

KEYWORD

nice, traditional

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

WORLD

fill_shape_white_dot [smaller | same | bigger]

AUTHOR

Jago Collins

BP389 Loops are entangled (in 3-D) vs. loops can be separated (in 3-D).
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP384 BP385 BP386 BP387 BP388  *  BP390 BP391 BP392 BP393 BP394

KEYWORD

nice, precise, allsorted, contributepairs, traditional

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

WORLD

link_two_knots [smaller | same | bigger]

AUTHOR

Jago Collins

BP390 Each graph vertex is uniquely defined by its connections (the graph does not admit nontrivial automorphisms) vs. the graph admits nontrivial automorphisms.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP385 BP386 BP387 BP388 BP389  *  BP391 BP392 BP393 BP394 BP395

KEYWORD

precise, allsorted, notso, traditional, preciseworld

CONCEPT graph (info | search),
self-reference (info | search),
topological_transformation (info | search),
imagined_shape (info | search),
imagined_entity (info | search)

WORLD

connected_graph [smaller | same | bigger]

AUTHOR

Jago Collins

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