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BP915 Finite number of dots vs. infinite number of dots.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP910 BP911 BP912 BP913 BP914  *  BP916 BP917 BP918 BP919 BP920

KEYWORD

less, notso, spectrum, number, example, left-null, impossible, experimental

CONCEPT finite_infinite (info | search)

WORLD

dots [smaller | same | bigger]

AUTHOR

Jago Collins

BP245 Can be completed to be made into a rectangle vs. cannot be completed to be made into a rectangle.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP240 BP241 BP242 BP243 BP244  *  BP246 BP247 BP248 BP249 BP250

KEYWORD

traditional

CONCEPT imagined_line_or_curve (info | search),
imagined_entity (info | search)

AUTHOR

Carla Rispoli

BP75 Triangle located at the concave side of an arc vs. triangle located at the convex side of an arc.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 238.

CROSSREFS

Adjacent-numbered pages:
BP70 BP71 BP72 BP73 BP74  *  BP76 BP77 BP78 BP79 BP80

KEYWORD

finished, traditional, bongard

CONCEPT concave_convex_region (info | search),
on_sides_of_curve (info | search),
triangle (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP211 More black than white vs. more white than black.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP196 for a version of this Problem restricted to uniform textures.

Adjacent-numbered pages:
BP206 BP207 BP208 BP209 BP210  *  BP212 BP213 BP214 BP215 BP216

KEYWORD

easy, nice, spectrum, dual, blackwhite, unstable, right-null, perfect, pixelperfect, traditional, continuous, viceversa, bordercontent

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

WORLD

bmp [smaller | same | bigger]
zoom in left | zoom in right

AUTHOR

Giuseppe Insana

BP193 Ghost triangle vs. Ghost rectangle.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP188 BP189 BP190 BP191 BP192  *  BP194 BP195 BP196 BP197 BP198

KEYWORD

nice, anticomputer, traditional, dithering

CONCEPT absence_as_presence (info | search),
completed_out_of_box (info | search),
ghost (info | search),
number (info | search),
imagined_shape (info | search),
imagined_entity (info | search),
triangle (info | search)

AUTHOR

Harry E. Foundalis

BP532 Self-tiling fractal using one size of tile vs. does not tile itself with a single size of itself.
(edit; present; nest [left/right]; search; history)
CROSSREFS

This is BP344 ("rep-tiles") but for fractals.

See BP1119 for the version with multiple different sizes of tile allowed.

Adjacent-numbered pages:
BP527 BP528 BP529 BP530 BP531  *  BP533 BP534 BP535 BP536 BP537

KEYWORD

hardsort, proofsrequired, perfect, infinitedetail, contributepairs

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

WORLD

[smaller | same | bigger]
zoom in left (fractal_self_tile)

AUTHOR

Aaron David Fairbanks

BP9 Non-wiggly outline vs. wiggly outline.
(edit; present; nest [left/right]; search; history)
COMMENTS

"Wiggly" means a high number of small concavities adjacent to one another all around the outline.

All examples in this Bongard Problem are shape outlines.

Shapes with outlines that are only wiggly within partial sections would be ambiguous. Shapes with outlines that have many medium-size concavities would be ambiguous.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 216.

CROSSREFS

Adjacent-numbered pages:
BP4 BP5 BP6 BP7 BP8  *  BP10 BP11 BP12 BP13 BP14

KEYWORD

easy, nice, fuzzy, stable, world, finished, traditional, bongard

CONCEPT curve_texture (info | search),
texture (info | search)

WORLD

Multiple options:
mediumsize_centered_outline [smaller | same | bigger],
shape_outline [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP903 Sharp vs. blurry
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP898 BP899 BP900 BP901 BP902  *  BP904 BP905 BP906 BP907 BP908

KEYWORD

contributepairs

CONCEPT contrast (info | search),
curve_texture (info | search)

AUTHOR

Cameron Fetter

BP188 Shape of whole different from shape of parts vs. shape of whole same as shape of parts.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP1002 for more general visual self-similarity.

See BP1064 for a similar Problem about two shapes inter-referencing instead of just one shape referencing itself.

Adjacent-numbered pages:
BP183 BP184 BP185 BP186 BP187  *  BP189 BP190 BP191 BP192 BP193

KEYWORD

traditional

CONCEPT recursion (info | search),
self-reference (info | search),
similar_shape (info | search),
similar (info | search)

AUTHOR

Harry E. Foundalis

BP213 The tightest-curved section, out of all sections of curve that make a complete turn (360 degrees), contains an x-crossing point vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples are connected smooth curves allowed to self-intersect that must curve in only one direction (starting at one end, either clockwise or counter-clockwise), i.e. there is no inflection point.

CROSSREFS

Adjacent-numbered pages:
BP208 BP209 BP210 BP211 BP212  *  BP214 BP215 BP216 BP217 BP218

KEYWORD

less, convoluted, perfect, traditional

CONCEPT x-crossing (info | search)

AUTHOR

Giuseppe Insana

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