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Search: concept:symmetry_axis
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BP50 Vertical axis of symmetry vs. no axis of symmetry.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 230.

CROSSREFS

BP152 is the same solution (with the sides switched), using connected shapes and without black filling.

BP1206 was created to be a slightly different version of this: "vertical axis of symmetry vs. no vertical axis of symmetry." (That less specific solution fits this Bongard Problem as well.)

Adjacent-numbered pages:
BP45 BP46 BP47 BP48 BP49  *  BP51 BP52 BP53 BP54 BP55

KEYWORD

nice, stretch, left-narrow, finished, traditional, bongard

CONCEPT symmetry_axis (info | search),
symmetry (info | search)

WORLD

curves_and_fill_shapes_separate_drawing [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP152 No axis of symmetry vs. vertical axis of symmetry.
(edit; present; nest [left/right]; search; history)
CROSSREFS

BP50 is the same solution (with the sides switched), using multiple shapes and with some shapes filled in black.

BP1206 is like BP50 but instead of "no axis of symmetry at all" it uses "no vertical axis of symmetry".

Adjacent-numbered pages:
BP147 BP148 BP149 BP150 BP151  *  BP153 BP154 BP155 BP156 BP157

KEYWORD

rotate, stretch, traditional

CONCEPT existence (info | search),
symmetry_axis (info | search),
symmetry (info | search)

AUTHOR

Douglas R. Hofstadter

BP265 Axis of symmetry vs. no axis of symmetry.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP260 BP261 BP262 BP263 BP264  *  BP266 BP267 BP268 BP269 BP270

CONCEPT symmetry_axis (info | search),
symmetry (info | search)

WORLD

arial_font_centered_connected_symbol [smaller | same | bigger]

AUTHOR

Merse E. Gáspár

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

BP1206 Vertical axis of symmetry vs. no vertical axis of symmetry.
(edit; present; nest [left/right]; search; history)
COMMENTS

The solution for this Bongard Problem is also a (less specific) solution for BP500, "vertical axis of symmetry vs. no axis of symmetry".

CROSSREFS

BP1207 is the same solution but using the horizontal axis instead of the vertical axis.

BP1215 is the same solution but with the NW/SE diagonal instead of the vertical axis.

Adjacent-numbered pages:
BP1201 BP1202 BP1203 BP1204 BP1205  *  BP1207 BP1208 BP1209 BP1210 BP1211

KEYWORD

stub, notso, stretch, left-narrow, traditional

CONCEPT symmetry_axis (info | search),
symmetry (info | search),
vertical (info | search)

AUTHOR

Aaron David Fairbanks

BP1207 Horizontal axis of symmetry vs. no horizontal axis of symmetry.
(edit; present; nest [left/right]; search; history)
CROSSREFS

BP1206 is the same solution but using the vertical axis instead of the horizontal axis.

BP1215 is the same solution but with the NW/SE diagonal instead of the vertical axis.

Adjacent-numbered pages:
BP1202 BP1203 BP1204 BP1205 BP1206  *  BP1208 BP1209 BP1210 BP1211 BP1212

KEYWORD

stub, notso, stretch, left-narrow, traditional

CONCEPT horizontal (info | search),
symmetry_axis (info | search),
symmetry (info | search)

AUTHOR

Aaron David Fairbanks

BP1210 Vertical, horizontal, and both diagonal axes of symmetry vs. not (more specifically, one or fewer axes of symmetry).
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1205 BP1206 BP1207 BP1208 BP1209  *  BP1211 BP1212 BP1213 BP1214 BP1215

KEYWORD

stub, left-narrow, traditional, blackwhiteinvariant

CONCEPT symmetry_axis (info | search),
symmetry (info | search),
four (info | search)

AUTHOR

Aaron David Fairbanks

BP1213 Axis of symmetry along the NW/SE diagonal vs. axis of symmetry along the NE/SW diagonal
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1208 BP1209 BP1210 BP1211 BP1212  *  BP1214 BP1215 BP1216 BP1217 BP1218

KEYWORD

stub, dual, handed, leftright, updown, rotate, stretch, left-narrow, right-narrow, traditional, both

CONCEPT diagonal (info | search),
symmetry_axis (info | search),
symmetry (info | search)

AUTHOR

Aaron David Fairbanks

BP1215 Axis of symmetry along the NW/SE diagonal vs. not.
(edit; present; nest [left/right]; search; history)
CROSSREFS

BP1206 is the same solution but with the vertical axis instead of the NW/SE diagonal.

BP1207 is the same solution but with the horizontal axis instead of the NW/SE diagonal.

Adjacent-numbered pages:
BP1210 BP1211 BP1212 BP1213 BP1214  *  BP1216 BP1217 BP1218 BP1219 BP1220

KEYWORD

stub, notso, handed, leftright, updown, rotate, left-narrow, traditional

CONCEPT diagonal (info | search),
symmetry_axis (info | search),
symmetry (info | search)

AUTHOR

Aaron David Fairbanks

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