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BP559 Cross section of a cube vs. not cross section of a cube
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are solid black shapes.


This problem is absurdly hard. It makes a good extreme example. - Aaron David Fairbanks, Nov 23 2020

CROSSREFS

Adjacent-numbered pages:
BP554 BP555 BP556 BP557 BP558  *  BP560 BP561 BP562 BP563 BP564

KEYWORD

hard, nice, precise, allsorted, notso, stretch, challenge, left-narrow, perfect

CONCEPT cube (info | search),
cross_section (info | search)

WORLD

fill_shape [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP820 Shape can be combined with a copy of itself to form a convex shape vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

For the generalization of this property, see BP991.



Adjacent-numbered pages:
BP815 BP816 BP817 BP818 BP819  *  BP821 BP822 BP823 BP824 BP825

KEYWORD

nice, precise, allsorted

CONCEPT tiling (info | search)

WORLD

fill_shape [smaller | same | bigger]
zoom in left

AUTHOR

Isaac Hathaway

BP860 Finitely many copies of the shape can be arranged such that they are locked together vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

This is a generalisation of BP861.

Adjacent-numbered pages:
BP855 BP856 BP857 BP858 BP859  *  BP861 BP862 BP863 BP864 BP865

KEYWORD

hard, nice, stub, precise, stretch, unstable, hardsort, challenge, creativeexamples, perfect, pixelperfect

CONCEPT tiling (info | search)

WORLD

fill_shape [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP861 Shape can be combined with a copy of itself such that they are locked together vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP860 for the more general version of this solution.

Adjacent-numbered pages:
BP856 BP857 BP858 BP859 BP860  *  BP862 BP863 BP864 BP865 BP866

KEYWORD

nice, precise, unstable, perfect, pixelperfect

CONCEPT tiling (info | search)

WORLD

fill_shape [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP991 Can be arranged with multiple copies of itself to form some convex shape vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

This is a generalization of BP820.

Adjacent-numbered pages:
BP986 BP987 BP988 BP989 BP990  *  BP992 BP993 BP994 BP995 BP996

KEYWORD

precise, allsorted, perfect

CONCEPT tiling (info | search)

WORLD

fill_shape [smaller | same | bigger]
zoom in left

AUTHOR

Leo Crabbe

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