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Search: subworld:outline_or_fill_shape
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BP328 All sides are equal vs. all angles are equal.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP323 BP324 BP325 BP326 BP327  *  BP329 BP330 BP331 BP332 BP333

KEYWORD

nice, stretch, left-narrow, right-narrow, traditional, finishedexamples, both

CONCEPT angle (info | search),
length_line_or_curve (info | search),
same_feature (info | search),
same (info | search)

WORLD

polygon_outline [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP329 Regular polygon vs. not regular polygon.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP324 BP325 BP326 BP327 BP328  *  BP330 BP331 BP332 BP333 BP334

KEYWORD

precise, allsorted, stretch, traditional, finishedexamples, preciseworld

CONCEPT angle (info | search),
same_feature (info | search),
same (info | search)

WORLD

polygon_outline [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP342 Exactly one axis of symmetry vs. either zero or more than one axis of symmetry.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP337 BP338 BP339 BP340 BP341  *  BP343 BP344 BP345 BP346 BP347

KEYWORD

traditional, finishedexamples

CONCEPT exists_one (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search),
symmetry_axis (info | search),
symmetry (info | search)

WORLD

shape_outline [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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

All examples 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, 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

BP570 Shape outlines that aren't triangles vs. black shapes that aren't squares.
(edit; present; nest [left/right]; search; history)
COMMENTS

An example of an overriddensolution.

CROSSREFS

Adjacent-numbered pages:
BP565 BP566 BP567 BP568 BP569  *  BP571 BP572 BP573 BP574 BP575

KEYWORD

less, example, overriddensolution, experimental, funny, neither

WORLD

outline_or_fill_shape [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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

BP854 Nothing vs. nothing.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP849 BP850 BP851 BP852 BP853  *  BP855 BP856 BP857 BP858 BP859

KEYWORD

left-finite, right-finite, left-full, right-full, finished, experimental, funny

WORLD

nothing [same | bigger]
zoom in left (nothing) | zoom in right (nothing)

AUTHOR

Aaron David Fairbanks

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

BP924 Polygons where all sides are different lengths vs. Polygons where not all sides are different lengths.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are outlines of convex polygons.

This is a generalisation of scalene triangles to any polygon.

CROSSREFS

The left side implies the right side of BP329 (regular vs. irregular polygons), but the converse is not true.

The left side of BP329 implies the right side, but the converse is not true.

Adjacent-numbered pages:
BP919 BP920 BP921 BP922 BP923  *  BP925 BP926 BP927 BP928 BP929

EXAMPLE

Any scalene triangle will fit on the left, because no two sides are equal.

However, any regular polygon will not fit on the left, because all of its sides are equal.

A random convex polygon will "almost surely" fit on the left.

KEYWORD

nice, stretch, right-narrow, traditional

CONCEPT all (info | search)

WORLD

polygon_outline [smaller | same | bigger]

AUTHOR

Jago Collins

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