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BP4 Convex vs. concave.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are outlines of shapes or solid black shapes.

REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 215.

CROSSREFS

BP136 is the same solution (flipped) but with only polygonal outlines and also with extraneous dots distracting from the solution.

Adjacent-numbered pages:
BP1 BP2 BP3  *  BP5 BP6 BP7 BP8 BP9

KEYWORD

easy, nice, precise, unstable, right-narrow, finished, traditional, bongard

CONCEPT concave_convex_angle (info | search)

WORLD

outline_or_fill_shape [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP136 Concave shape vs. convex shape.
(edit; present; nest [left/right]; search; history)
CROSSREFS

BP4 is the same solution (flipped) but without the distracting dots (and also with some shapes filled in black and/or curvy instead of just polygon outlines).

Adjacent-numbered pages:
BP131 BP132 BP133 BP134 BP135  *  BP137 BP138 BP139 BP140 BP141

KEYWORD

noisy, ignoreimperfections, traditional

CONCEPT concave_convex_angle (info | search)

AUTHOR

Douglas R. Hofstadter

BP174 Convex central interior vs. concave central interior.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP169 BP170 BP171 BP172 BP173  *  BP175 BP176 BP177 BP178 BP179

KEYWORD

noisy, traditional

CONCEPT concave_convex_angle (info | search)

AUTHOR

Harry E. Foundalis

BP177 All interiors are convex vs. at least one concave interior.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP172 BP173 BP174 BP175 BP176  *  BP178 BP179 BP180 BP181 BP182

KEYWORD

traditional

CONCEPT all (info | search),
concave_convex_angle (info | search)

AUTHOR

Harry E. Foundalis

BP182 Concave if proximal border points are connected vs. convex if proximal border points are connected.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP177 BP178 BP179 BP180 BP181  *  BP183 BP184 BP185 BP186 BP187

KEYWORD

nice, traditional

CONCEPT concave_convex_angle (info | search),
near_far (info | search)

AUTHOR

Harry E. Foundalis

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