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Search: keyword:unorderedpair
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BP57 Identical figures vs. figures not identical.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 232.

CROSSREFS

BP1222 is similar but allows the shapes to be different sizes.

BP343 is about existence of a pair of identical shapes among many shapes.

Adjacent-numbered pages:
BP52 BP53 BP54 BP55 BP56  *  BP58 BP59 BP60 BP61 BP62

KEYWORD

nice, finished, unorderedpair, traditional, bongard

CONCEPT identical (info | search),
same_shape (info | search),
same (info | search)

AUTHOR

Mikhail M. Bongard

BP59 Figures are similar vs. figures are not similar.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 233.

CROSSREFS

Adjacent-numbered pages:
BP54 BP55 BP56 BP57 BP58  *  BP60 BP61 BP62 BP63 BP64

KEYWORD

nice, finished, unorderedpair, traditional, bongard

CONCEPT similar_shape (info | search),
similar (info | search)

WORLD

two_outlines [smaller | same | bigger]

AUTHOR

Mikhail M. Bongard

BP104 One circle passes through the center of the other circle vs. no circle passes through the center of the other circle.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP99 BP100 BP101 BP102 BP103  *  BP105 BP106 BP107 BP108 BP109

KEYWORD

precise, unorderedpair, traditional

CONCEPT on_line_or_curve (info | search),
center_of_circle (info | search),
center (info | search),
imagined_point (info | search),
imagined_entity (info | search)

AUTHOR

Douglas R. Hofstadter

BP229 When the objects are rotated and their dots are overlapped and eliminated, they form three-square-tall structures with columns of the same color vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Explanation / justification of BP229 by its creator:


"Long (doubly sized) objects are purines (A & G).

Short objects are pyrimidines (C & T).

Black are those forming triple Hbond (G and C).

White are those forming double Hbond (A & T).


On the left we have matching codes, i.e., bases, doublets or triplets that, when rotated, can pair correctly (A with T, G with C), binding the two strands.


On the right we have objects that no matter how they are rotated they do not pair correctly (because of bumps, wrong color codes, etc)."

CROSSREFS

Adjacent-numbered pages:
BP224 BP225 BP226 BP227 BP228  *  BP230 BP231 BP232 BP233 BP234

KEYWORD

unorderedpair, traditional

CONCEPT rotation_required (info | search),
tiling (info | search),
specific_value (info | search),
specificity (info | search)

AUTHOR

Giuseppe Insana

BP238 C-like curves point to the same direction vs. c-like curves point to opposite directions.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP233 BP234 BP235 BP236 BP237  *  BP239 BP240 BP241 BP242 BP243

KEYWORD

unorderedpair, traditional

CONCEPT tangent (info | search),
line_absolute_direction (info | search),
absolute_direction (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search),
same_feature (info | search),
same (info | search),
direction (info | search)

AUTHOR

Harry E. Foundalis

BP312 Lines intersect within the box vs. lines intersect out of the box.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP307 BP308 BP309 BP310 BP311  *  BP313 BP314 BP315 BP316 BP317

KEYWORD

precise, allsorted, boundingbox, perfect, unorderedpair, traditional, preciseworld, absoluteposition

CONCEPT completed_out_of_box (info | search),
vertex_of_meeting_lines (info | search),
imagined_point (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search)

AUTHOR

Jakub Štepo

BP358 The circles will collide if the arrows are their velocities vs. the circles will not collide if the arrows are their velocities.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP353 BP354 BP355 BP356 BP357  *  BP359 BP360 BP361 BP362 BP363

KEYWORD

nice, physics, unorderedpair, traditional

CONCEPT arrow (info | search),
tracing_lines_or_curves_meet (info | search),
speed (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search),
imagined_motion (info | search),
motion (info | search),
collision (info | search)

AUTHOR

Aaron David Fairbanks

BP377 The two objects have similar representations vs. the two objects have dissimilar representations.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP372 BP373 BP374 BP375 BP376  *  BP378 BP379 BP380 BP381 BP382

KEYWORD

unorderedpair, traditional

CONCEPT similar_representation (info | search),
similar (info | search)

AUTHOR

Aaron David Fairbanks

BP378 The two objects are conceptually related vs. the two objects are conceptually unrelated.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP347, which is similar.

Adjacent-numbered pages:
BP373 BP374 BP375 BP376 BP377  *  BP379 BP380 BP381 BP382 BP383

KEYWORD

abstract, math, unorderedpair, traditional

CONCEPT same_concept (info | search),
same (info | search)

AUTHOR

Aaron David Fairbanks

BP557 Equal horizontal length vs. not
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are pairs of straight line segments.


This problem communicates the idea of projected distance, in this case from 2D to 1D (x-axis).

CROSSREFS

Adjacent-numbered pages:
BP552 BP553 BP554 BP555 BP556  *  BP558 BP559 BP560 BP561 BP562

KEYWORD

nice, precise, allsorted, stretch, perfect, unorderedpair, preciseworld

CONCEPT projection (info | search)

WORLD

two_segments [smaller | same | bigger]

AUTHOR

Leo Crabbe

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