Search: https://www.galaxus.ch/en/sector/showdiscussion/snapchathacking-visit-kunghaccom-5hflaboo-226168
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| BP171 |
| Angle bisectors meet at the incenter vs. perpendicular bisectors meet at the orthocenter. |
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| BP266 |
| At least one touch or cross point vs. no touch or cross point. |
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| BP999 |
| The collection of collections obeys the same rule as the individual collections vs. it does not. |
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COMMENTS
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Rhetorical question: Where would the collection of left examples of this Bongard Problem be sorted by this Bongard Problem? (The question is whether these examples considered together satisfy the pattern that all the parts do, namely that the whole satisfies the pattern that all the parts do.)
See BP793 and BP1004 for similar paradoxes. |
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CROSSREFS
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See BP1005 for the version about only numerical properties; examples in that BP would be sorted the same way here that they are there.
See BP1003 for a similar idea. Rather than the collection of collections imitating the individual collections, BP1003 is about the total combined collection imitating the individual collections. A picture showing (for example) an odd number of even-numbered groups would be sorted differently by these two BPs.
Also see BP1004, which is likewise about the whole satisfying the same rule as its parts, but there the parts don't themselves have to be collections; there the parts are just plain individual objects. The panels in BP999 (this BP) should be sorted the same way in BP1004.
See BP1002, which is about only visual self-similarity instead of more general conceptual "self-similarity".
Adjacent-numbered pages:
BP994 BP995 BP996 BP997 BP998  *  BP1000 BP1001 BP1002 BP1003 BP1004
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KEYWORD
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nice, abstract, creativeexamples, left-narrow, rules, miniworlds
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CONCEPT
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recursion (info | search), self-reference (info | search)
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WORLD
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[smaller | same | bigger] zoom in left | zoom in right
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AUTHOR
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Aaron David Fairbanks
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| BP219 |
| Parallel curves vs. non-parallel curves. |
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| BP181 |
| One concavity vs. two concavities. |
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| BP1291 |
| Black points are the set of vertices that are some shortest-distance away from some white vertex vs. not so. |
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| BP1219 |
| Blank image (square) vs. image of blank square. |
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CROSSREFS
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See also BP1056, "blank image vs. nothing".
BP1 is also a (less specific) solution to this.
BP1209 (flipped) is also a (less specific) solution to this.
Adjacent-numbered pages:
BP1214 BP1215 BP1216 BP1217 BP1218  *  BP1220 BP1221 BP1222 BP1223 BP1224
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KEYWORD
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minimal, gap, left-narrow, right-narrow, left-finite, right-finite, left-full, right-full, left-null, funny, unstableworld
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CONCEPT
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empty (info | search), square (info | search)
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AUTHOR
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Aaron David Fairbanks
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| BP1145 |
| Polygon that can be achieved by folding a square once vs. other polygons. |
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| BP43 |
| The vibration amplitude increases from left to right vs. the vibration amplitude decreases from left to right. |
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REFERENCE
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M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 228. |
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CROSSREFS
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Adjacent-numbered pages:
BP38 BP39 BP40 BP41 BP42  *  BP44 BP45 BP46 BP47 BP48
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KEYWORD
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dual, handed, leftright, finished, traditional, viceversa, bongard
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CONCEPT
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size_increase_decrease (info | search), horizontal (info | search), leftward_rightward (info | search), regular_irregular_change (info | search), tracing_line_or_curve (info | search), wave (info | search)
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WORLD
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wave_horizontal_increase_or_decrease [smaller | same | bigger]
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AUTHOR
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Mikhail M. Bongard
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| BP176 |
| Line that connects dots avoiding obstacles is short vs. line that connects dots avoiding obstacles is long. |
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