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Search: keyword:notso
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BP32 A sharp projection vs. no sharp projection.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 224.

CROSSREFS

Adjacent-numbered pages:
BP27 BP28 BP29 BP30 BP31  *  BP33 BP34 BP35 BP36 BP37

KEYWORD

nice, notso, finished, traditional, bongard

CONCEPT acute (info | search),
angle (info | search),
cusp (info | search),
protrusion (info | search)

WORLD

shape_outline [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP77 Angle divided in half vs. angle not divided in half.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 239.

CROSSREFS

Adjacent-numbered pages:
BP72 BP73 BP74 BP75 BP76  *  BP78 BP79 BP80 BP81 BP82

KEYWORD

nice, notso, stretch, finished, traditional, bongard

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

WORLD

[smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP82 The convex hull of the crosses forms an equilateral triangle vs. the convex hull of the crosses does not form an equilateral triangle.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 241.

CROSSREFS

Adjacent-numbered pages:
BP77 BP78 BP79 BP80 BP81  *  BP83 BP84 BP85 BP86 BP87

KEYWORD

noisy, notso, finished, traditional, bongard

CONCEPT convex_hull (info | search),
equilateral_triangle (info | search),
triangle (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP127 Exactly one circle vs. not exactly one circle.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP122 BP123 BP124 BP125 BP126  *  BP128 BP129 BP130 BP131 BP132

KEYWORD

noisy, notso, traditional

CONCEPT exists_one (info | search),
number (info | search)

AUTHOR

Douglas R. Hofstadter

BP243 Triangle closer to box corner than any of the circles vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP238 BP239 BP240 BP241 BP242  *  BP244 BP245 BP246 BP247 BP248

KEYWORD

notso, boundingbox, traditional, absoluteposition

CONCEPT bounding_box_corner (info | search),
length_line_or_curve (info | search),
near_far (info | search),
triangle (info | search)

AUTHOR

Matthew J. Howells

BP257 The distance from the center of the line to the bottom of the square is the same as the distance from the dot to the right edge of the square vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP252 BP253 BP254 BP255 BP256  *  BP258 BP259 BP260 BP261 BP262

KEYWORD

convoluted, notso, boundingbox, traditional, absoluteposition

CONCEPT bounding_box (info | search),
length_line_or_curve (info | search),
midpoint (info | search),
imagined_point (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search),
same_feature (info | search),
same (info | search),
distance_from_center (info | search)

AUTHOR

Andreas Gunnarsson

BP274 Notch from above (holds poured water) vs. no notch from above (does not hold poured water).
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP269 BP270 BP271 BP272 BP273  *  BP275 BP276 BP277 BP278 BP279

KEYWORD

notso, physics

CONCEPT concave_convex_region (info | search),
downward_upward (info | search),
line_absolute_direction (info | search),
absolute_direction (info | search),
direction (info | search),
liquid_flow (info | search),
gravity (info | search)

WORLD

arial_font_centered_connected_symbol [smaller | same | bigger]

AUTHOR

Merse E. Gáspár

BP288 The sum of the ratios of the filled areas is 1 vs. the sum of the ratios of the filled areas is other than 1.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP283 BP284 BP285 BP286 BP287  *  BP289 BP290 BP291 BP292 BP293

KEYWORD

nice, notso, traditional

CONCEPT addition (info | search),
outlined_filled (info | search),
ratio (info | search),
texture (info | search)

AUTHOR

"Lewis"

BP323 Jigsaw puzzle pieces can be assembled into a square vs. jigsaw puzzle pieces cannot be assembled into a square.
(edit; present; nest [left/right]; search; history)
COMMENTS

Although it takes time to check each individual example, the right answer is likely the first thing a person would think of upon seeing this.

CROSSREFS

Adjacent-numbered pages:
BP318 BP319 BP320 BP321 BP322  *  BP324 BP325 BP326 BP327 BP328

KEYWORD

notso, hardsort, traditional

CONCEPT jigsaw_puzzle (info | search),
tiling (info | search),
imagined_motion (info | search),
motion (info | search)

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, nice, 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

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