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Search: author:Leo Crabbe
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BP933 Ball will reach edge of bounding box under gravity vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Strictly this Problem's solution is not actually about gravity, it is about a constant downwards force (the ball's time-independent path does not depend on the magnitude of the force, only direction). The phrasing for the solution is a shorthand that takes advantage of human physical intuition.

CROSSREFS

Adjacent-numbered pages:
BP928 BP929 BP930 BP931 BP932  *  BP934 BP935 BP936 BP937 BP938

KEYWORD

physics

CONCEPT bounding_box (info | search),
imagined_motion (info | search),
gravity (info | search)

WORLD

dot_with_lines_or_curves [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP922 One row is rearranged to make the other by swapping an odd number of object pairs vs. one row is rearranged to make the other by swapping an even number of object pairs.
(edit; present; nest [left/right]; search; history)
COMMENTS

The mathematical terms for these operations are even and odd permutations.

CROSSREFS

Adjacent-numbered pages:
BP917 BP918 BP919 BP920 BP921  *  BP923 BP924 BP925 BP926 BP927

KEYWORD

precise, allsorted, math, left-narrow, right-narrow, unorderedpair, preciseworld, left-listable

CONCEPT even_odd (info | search),
permutation (info | search)

AUTHOR

Leo Crabbe

BP917 Reversible transformations vs. non-reversible transformations.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples depict a process that transforms one object into another (two example input-output pairs are provided in every panel). In left-sorted examples, each input corresponds to a unique output, whereas in right-sorted examples, different inputs could potentially lead to the same output. There is a sense in which all the processes described on the right "lose" some amount of the input's information.

REFERENCE

https://en.wikipedia.org/wiki/Injective_function

CROSSREFS

Adjacent-numbered pages:
BP912 BP913 BP914 BP915 BP916  *  BP918 BP919 BP920 BP921 BP922

KEYWORD

nice, abstract, creativeexamples, structure, rules, miniworlds

CONCEPT convey_enough_information (info | search),
function (info | search)

AUTHOR

Leo Crabbe

BP912 Imperfectly drawn shapes vs. perfectly drawn shapes.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP907 BP908 BP909 BP910 BP911  *  BP913 BP914 BP915 BP916 BP917

KEYWORD

perfect, contributepairs

CONCEPT curve_texture (info | search)

WORLD

zoom in right (shape_outline)

AUTHOR

Leo Crabbe

BP907 One dot cluster is the product of the other two vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP902 BP903 BP904 BP905 BP906  *  BP908 BP909 BP910 BP911 BP912

KEYWORD

unorderedtriplet

CONCEPT 2_inputs_1_output (info | search),
product (info | search)

WORLD

3_dot_clusters [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP900 Black shape is a valid shadow (2D projection) of 3D shape vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP895 BP896 BP897 BP898 BP899  *  BP901 BP902 BP903 BP904 BP905

KEYWORD

3d, orderedpair

CONCEPT 3d_solid (info | search),
projection (info | search)

AUTHOR

Leo Crabbe

BP892 Black shapes can be arranged such that they fit inside rectangular outline vs. not so.
?
(edit; present; nest [left/right]; search; history)
COMMENTS

There is a slight ambiguity here regarding whether a shape could be placed within another shape's hole. This is a question of how one perceives the Problem: are we sliding shapes around on a table in 2D or are we allowed to 'lift' them in 3D space?

CROSSREFS

Adjacent-numbered pages:
BP887 BP888 BP889 BP890 BP891  *  BP893 BP894 BP895 BP896 BP897

KEYWORD

nice, precise, perfect, pixelperfect, help

CONCEPT rotation_required (info | search),
physically_fitting (info | search)

AUTHOR

Leo Crabbe

BP869 Approximately symmetric vs. asymmetric.
(edit; present; nest [left/right]; search; history)
COMMENTS

Or, "evokes idea of symmetry (see BP760) vs. not so," which is also a solution for BP847. - Aaron David Fairbanks, Jul 29 2020

CROSSREFS

Adjacent-numbered pages:
BP864 BP865 BP866 BP867 BP868  *  BP870 BP871 BP872 BP873 BP874

KEYWORD

abstract, spectrum, anticomputer, subjective, concept, perfect

CONCEPT imperfection_small (info | search),
symmetry (info | search)

AUTHOR

Leo Crabbe

BP863 Two shapes can tessellate the plane together vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP858 BP859 BP860 BP861 BP862  *  BP864 BP865 BP866 BP867 BP868

KEYWORD

nice, precise, allsorted, math, hardsort, creativeexamples, unorderedpair

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

WORLD

2_shapes [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP862 Human faces vs. other images.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP857 BP858 BP859 BP860 BP861  *  BP863 BP864 BP865 BP866 BP867

KEYWORD

less, teach, anticomputer, culture, experimental

WORLD

black_and_white_photograph [smaller | same | bigger]
zoom in left (black_and_white_face_photograph)

AUTHOR

Leo Crabbe

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