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Search: supworld:elongated_shape_one_small_elongated_centered_hole
Displaying 1-10 of 14 results found. ( next )     page 1 2
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BP34 A large hole vs. a small hole.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 225.

CROSSREFS

Adjacent-numbered pages:
BP29 BP30 BP31 BP32 BP33  *  BP35 BP36 BP37 BP38 BP39

KEYWORD

spectrum, stable, finished, traditional, bongard

CONCEPT hole (info | search),
size (info | search),
texture (info | search)

WORLD

shape_one_hole [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP35 The axis of the hole is parallel to the figure axis vs. the axis of the hole is perpendicular to the figure axis.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 225.

CROSSREFS

Adjacent-numbered pages:
BP30 BP31 BP32 BP33 BP34  *  BP36 BP37 BP38 BP39 BP40

KEYWORD

finished, traditional, bongard

CONCEPT hole (info | search),
line_slope (info | search),
same (info | search),
texture (info | search),
parallel (info | search),
perpendicular (info | search)

WORLD

elongated_shape_one_small_elongated_centered_hole [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP322 One outer outline vs. more than one outer outline.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP317 BP318 BP319 BP320 BP321  *  BP323 BP324 BP325 BP326 BP327

KEYWORD

nice, precise, allsorted, traditional

CONCEPT separated_regions (info | search),
interior_exterior (info | search),
outer_outline (info | search),
recursion (info | search),
one (info | search)

WORLD

nest_shapes [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP335 Tessellates the plane vs. does not tessellate the plane.
(edit; present; nest [left/right]; search; history)
COMMENTS

EX7152 is an example of a shape than can be stretched in such a way that it no longer tessellates the plane. This is a property that is only exhibited by shapes that tessellate with rotated copies of themselves. - Leo Crabbe, Mar 05 2021

CROSSREFS

Adjacent-numbered pages:
BP330 BP331 BP332 BP333 BP334  *  BP336 BP337 BP338 BP339 BP340

KEYWORD

nice, stretch, unstable, math, hardsort, creativeexamples, proofsrequired, perfect, pixelperfect, traditional

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

WORLD

shape [smaller | same | bigger]
zoom in left (fill_shape)

AUTHOR

Aaron David Fairbanks

BP343 No two shapes are the same vs. at least two shapes are the same.
(edit; present; nest [left/right]; search; history)
CROSSREFS

BP57 is the same solution except all examples have two shapes.

Adjacent-numbered pages:
BP338 BP339 BP340 BP341 BP342  *  BP344 BP345 BP346 BP347 BP348

KEYWORD

traditional, collection

CONCEPT existence (info | search),
identical (info | search),
same_shape (info | search),
same (info | search),
two (info | search)

WORLD

shapes [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP344 Shape can tile itself vs. shape cannot tile itself.
(edit; present; nest [left/right]; search; history)
COMMENTS

Left examples are sometimes called "rep-tiles."


The tiles all must be the same size. More specifically, all left examples can tile themselves only using scaled down and rotated versions of themselves with all tiles the same size. Right examples cannot tile themselves using scaled down rotated versions of themselves or even reflected versions of themselves with all tiles the same size.


Without the puzzle piece-like shape EX4120 on the right side the current examples also allow the solution "shape can tile with itself so as to create a parallelogram vs. shape cannot tile with itself so as to create a parallelogram."

CROSSREFS

See BP532 for a version with fractals.

Adjacent-numbered pages:
BP339 BP340 BP341 BP342 BP343  *  BP345 BP346 BP347 BP348 BP349

EXAMPLE

Go to https://oebp.org/files/yet.png for an illustration of how some left-sorted shapes tile themselves.

KEYWORD

hard, precise, notso, unstable, math, hardsort, creativeexamples, proofsrequired, perfect, traditional

CONCEPT recursion (info | search),
self-reference (info | search),
tiling (info | search),
imagined_shape (info | search),
imagined_entity (info | search)

WORLD

shape [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP367 Center of mass within the black area of the shape vs. center of mass out of the black area of the shape.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP362 BP363 BP364 BP365 BP366  *  BP368 BP369 BP370 BP371 BP372

KEYWORD

precise, unstable, physics, perfect, pixelperfect, traditional

CONCEPT inside (info | search),
center_of_mass (info | search)

WORLD

shape [smaller | same | bigger]
zoom in left (shape_center_of_mass_falls_inside)

AUTHOR

Aaron David Fairbanks

BP368 There is a point that can see (in straight lines) all points vs. there is no point that can see (in straight lines) all points.
(edit; present; nest [left/right]; search; history)
COMMENTS

Left examples are called "star domains."

CROSSREFS

See BP388 for whether a distinguished point can see all points.

Adjacent-numbered pages:
BP363 BP364 BP365 BP366 BP367  *  BP369 BP370 BP371 BP372 BP373

KEYWORD

nice, precise, unstable, perfect, traditional

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

WORLD

shape [smaller | same | bigger]
zoom in left (fill_shape_with_seeing_point)

AUTHOR

Aaron David Fairbanks

BP523 Same amount of black in any vertical slice vs. varying amounts of black in vertical slices.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP518 BP519 BP520 BP521 BP522  *  BP524 BP525 BP526 BP527 BP528

KEYWORD

nice, precise, rotate, stretch, unstable, perfect, pixelperfect, traditional

WORLD

shapes_can_touch_box [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP541 Bongard Problems vs. anything else.
BP1
BP2
BP3
BP4
BP541
BP1073

blllmam

cat

nongard

(edit; present; nest [left/right]; search; history)
COMMENTS

This refers to all Bongard Problem solution ideas. No need to be a particularly well-made or well-defined Bongard Problem.

CROSSREFS

Adjacent-numbered pages:
BP536 BP537 BP538 BP539 BP540  *  BP542 BP543 BP544 BP545 BP546

KEYWORD

notso, meta (see left/right), links, world, left-self, right-null, left-it, feedback

WORLD

everything [smaller | same]
zoom in left (bp)

AUTHOR

Aaron David Fairbanks

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