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BP13 Tall rectangle OR wide ellipse vs. wide rectangle OR tall ellipse.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Bongard Problem are outlines of ellipses or rectangles aligned to the x-y-axes.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 218.

CROSSREFS

Adjacent-numbered pages:
BP8 BP9 BP10 BP11 BP12  *  BP14 BP15 BP16 BP17 BP18

KEYWORD

precise, stretch, finished, traditional, preciseworld, bongard

CONCEPT or (info | search),
horizontal (info | search),
line_slope (info | search),
vertical (info | search)

WORLD

rectangle_or_ellipse_outline_axis_aligned [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP260 Squares are either all empty or all contain something vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP255 BP256 BP257 BP258 BP259  *  BP261 BP262 BP263 BP264 BP265

KEYWORD

traditional

CONCEPT all (info | search),
or (info | search),
empty (info | search)

AUTHOR

Carla Rispoli

BP266 At least one touch or cross point vs. no touch or cross point.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP261 BP262 BP263 BP264 BP265  *  BP267 BP268 BP269 BP270 BP271

CONCEPT x-crossing (info | search),
or (info | search),
existence (info | search),
t-point (info | search)

WORLD

arial_font_centered_symbol [smaller | same | bigger]

AUTHOR

Merse E. Gáspár

BP270 Only vertical or horizontal lines vs. neither vertical nor horizontal lines.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP265 BP266 BP267 BP268 BP269  *  BP271 BP272 BP273 BP274 BP275

CONCEPT or (info | search),
horizontal (info | search),
vertical (info | search)

WORLD

arial_font_centered_connected_symbol [smaller | same | bigger]

AUTHOR

Merse E. Gáspár

BP341 Strictly increasing or strictly decreasing border line vs. both increasing and decreasing border line.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP336 BP337 BP338 BP339 BP340  *  BP342 BP343 BP344 BP345 BP346

KEYWORD

math, perfect, pixelperfect, traditional

CONCEPT size_increase_decrease (info | search),
or (info | search),
outlined_filled (info | search),
tracing_line_or_curve (info | search),
texture (info | search)

WORLD

function_graph_black_below_white_above [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1129 An oval is sorted left; shapes are sorted left when they can be built out of others sorted left by A) joining side by side (at a point) or B) joining one on top of the other (joining one's entire bottom edge to the other's entire top edge).
(edit; present; nest [left/right]; search; history)
COMMENTS

This was an unintended solution for BP1130.


In category theory lingo, left examples are built by repeated horizontal composition and vertical composition. (Making horizontal lines as 0-ary vertical compositions is here forbidden.)

CROSSREFS

Anything fitting right in BP1130 fits right here.

Adjacent-numbered pages:
BP1124 BP1125 BP1126 BP1127 BP1128  *  BP1130 BP1131 BP1132 BP1133 BP1134

KEYWORD

hard, less, convoluted, solved, inductivedefinition

CONCEPT or (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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