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BP1199 The only rectangles are the individual regions and the whole vs. there is some other rectangle made of rectangles.
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CROSSREFS

All of the examples fitting left here would fit right in BP1200 except for (1) a single rectangle, (2) two rectangles stacked vertically, or (3) two rectangles side by side horizontally.


All of the examples fitting left in BP1097 (re-styled) would fit right here (besides the two possible arrangements made up of just two rectangles, but those aren't shown there).


See BP1201 for the version with triangles.

Adjacent-numbered pages:
BP1194 BP1195 BP1196 BP1197 BP1198  *  BP1200 BP1201 BP1202 BP1203 BP1204

KEYWORD

precise, traditional, left-listable, right-listable

AUTHOR

Aaron David Fairbanks

BP1198 Bongard Problems with images featuring dithering to simulate shades of gray vs. no gray.
BP193
BP195
BP196
BP225
BP331
BP373
BP393
BP394
BP812
BP813
BP847
BP850
BP1110
BP1175
BP1184
BP1191
BP1197
BP1224
BP1
BP2
BP3
BP4
BP5
BP6
BP7
BP8
BP9
BP10
BP11
BP12
BP13
BP14
BP15
BP16
BP17
BP18
BP19
BP20
BP21
BP22
BP23
BP24
BP25
BP26
BP27
BP28
BP29
BP30
BP31
BP32
BP33
BP34
BP35

. . .

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COMMENTS

Bongard Problems sorted left have the keyword "dithering" on the OEBP.

CROSSREFS

Bongard's original Problems never involved shades of gray. They were just black and white drawings.

Adjacent-numbered pages:
BP1193 BP1194 BP1195 BP1196 BP1197  *  BP1199 BP1200 BP1201 BP1202 BP1203

KEYWORD

meta (see left/right), links, keyword

AUTHOR

Aaron David Fairbanks

BP1197 No sequence is repeated twice in a row vs. some sequence is repeated twice in a row.
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REFERENCE

https://en.wikipedia.org/wiki/Square-free_word

CROSSREFS

Adjacent-numbered pages:
BP1192 BP1193 BP1194 BP1195 BP1196  *  BP1198 BP1199 BP1200 BP1201 BP1202

KEYWORD

precise, allsorted, notso, left-narrow, sequence, traditional, preciseworld, dithering, left-listable

CONCEPT two (info | search)

AUTHOR

Aaron David Fairbanks

BP1196 Bongard Problems with content touching the border of some examples vs. Bongard Problems with a lip of whitespace around the border of all examples.
BP157
BP210
BP211
BP321
BP806
BP966
BP971
BP972
BP1008
BP1014
BP1089
BP1093
BP1228
BP1230
BP1245
BP1249
BP1252
BP1
BP2
BP3
BP4
BP5
BP6
BP7
BP8
BP9
BP10
BP11
BP12
BP13
BP14
BP15
BP16
BP17
BP18
BP19
BP20
BP21
BP22
BP23
BP24
BP25
BP26
BP27
BP28
BP29
BP30
BP31
BP32
BP33
BP34
BP35

. . .

(edit; present; nest [left/right]; search; history)
COMMENTS

Bongard Problems sorted left have the keyword "bordercontent" on the OEBP.


All of Bongard's original Problems have whitespace around the border of all examples.

CROSSREFS

Adjacent-numbered pages:
BP1191 BP1192 BP1193 BP1194 BP1195  *  BP1197 BP1198 BP1199 BP1200 BP1201

KEYWORD

meta (see left/right), links, keyword

AUTHOR

Aaron David Fairbanks

BP1195 Bongard Problems that depend on absolute positioning within the bounding box vs. shifting at once all content within the bounding box (without letting it cross the bounding box) will not switch the sorting of any examples.
BP8
BP209
BP243
BP257
BP312
BP818
BP971
BP972
BP1008
BP1104
BP1122
BP1132
BP1156
BP1
BP2
BP3
BP4
BP5
BP6
BP7
BP9
BP10
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COMMENTS

Bongard Problems sorted left have the keyword "absoluteposition" on the OEBP.


The repositioned content has to stay within the box. If an example in a Bongard Problem features content touching a border (keyword bordercontent), then that prevents the contents from being shifted in that direction.

CROSSREFS

If a Bongard Problem has the keyword "absoluteposition", then it likely has the keyword boundingbox.

If a Bongard Problem has the keyword boundingbox and does not have the keyword bordercontent, then it likely has the keyword "absoluteposition".

Adjacent-numbered pages:
BP1190 BP1191 BP1192 BP1193 BP1194  *  BP1196 BP1197 BP1198 BP1199 BP1200

KEYWORD

meta (see left/right), links, keyword, invariance

AUTHOR

Aaron David Fairbanks

BP1194 Bongard Problems listed in Harry E. Foundalis's collection vs. not.
BP1
BP2
BP3
BP4
BP5
BP6
BP7
BP8
BP9
BP10
BP11
BP12
BP13
BP14
BP15
BP16
BP17
BP18
BP19
BP20
BP21
BP22
BP23
BP24
BP25
BP26
BP27
BP28
BP29
BP30
BP31
BP32
BP33
BP34
BP35

. . .

BP501
BP503
BP504
BP505
BP506
BP507
BP508
BP509
BP510
BP1194
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COMMENTS

Alternatively, BP pages on the OEBP with number less than or equal to 394 vs. other BP pages.

REFERENCE

https://www.foundalis.com/res/bps/bpidx.htm

CROSSREFS

Adjacent-numbered pages:
BP1189 BP1190 BP1191 BP1192 BP1193  *  BP1195 BP1196 BP1197 BP1198 BP1199

EXAMPLE

Foundalis's collection includes all Bongard Problems by Bongard.

KEYWORD

meta (see left/right), links, right-self, time

AUTHOR

Aaron David Fairbanks

BP1193 Long, short, short, short vs. short, long, long, short
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COMMENTS

In morse code, the solution to this BP is B vs. P.

CROSSREFS

Adjacent-numbered pages:
BP1188 BP1189 BP1190 BP1191 BP1192  *  BP1194 BP1195 BP1196 BP1197 BP1198

KEYWORD

arbitrary, funny, neither

WORLD

[smaller | same | bigger]

AUTHOR

Jago Collins

BP1192 Short, short, long, short, long vs. not.
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COMMENTS

All examples in this Problem are paths of short and long line segments which do not self-intersect. This could be a useful world to use in an abstract binary sequence BP.

CROSSREFS

Adjacent-numbered pages:
BP1187 BP1188 BP1189 BP1190 BP1191  *  BP1193 BP1194 BP1195 BP1196 BP1197

KEYWORD

nice, notso, arbitrary, traditional

WORLD

[smaller | same | bigger]

AUTHOR

Jago Collins

BP1191 One natural way of matching up the two collections vs. multiple natural ways of matching up the two collections.
?
?
?
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COMMENTS

Jago originally designed this as a triptych. EX9655, EX9656, and EX9657 belong in a third category displayed further right of the two categories shown here. The third category is "all possible ways of matching are equally natural". - Aaron David Fairbanks, Apr 18 2022

CROSSREFS

Adjacent-numbered pages:
BP1186 BP1187 BP1188 BP1189 BP1190  *  BP1192 BP1193 BP1194 BP1195 BP1196

KEYWORD

nice, abstract, creativeexamples, structure, miniworlds, dithering

AUTHOR

Jago Collins

BP1190 BPs with a precisely defined pool of examples vs. BPs with an imprecisely defined pool of examples.
BP3
BP6
BP13
BP103
BP292
BP312
BP329
BP334
BP376
BP384
BP386
BP390
BP391
BP557
BP558
BP560
BP569
BP576
BP788
BP856
BP891
BP897
BP898
BP905
BP922
BP932
BP942
BP945
BP949
BP956
BP961
BP962
BP988
BP989
BP993

. . .

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COMMENTS

Left-sorted Bongard Problems are tagged with the keyword "preciseworld" on the OEBP.


The keyword "preciseworld" basically means: if a new Bongard Problem were created to sort whether or not examples fit in the pool of examples in the original Bongard Problem, it would be tagged precise.


For a Bongard Problem fitting left, the intended class of examples sorted by the Bongard Problem is clear-cut.

For a Bongard Problem fitting right, there isn't any obvious boundary to take as delimiting the pool of potential examples. There is an imprecise fading of relevancy rather than a natural cutoff point.



Sometimes there are specific notable cases of potential examples for which there is ambiguity about whether they belong.


For example, the empty square (zero dots) has been left out of BP989. This is perhaps the only obvious example that is ambiguous as to whether it should be considered as belonging to the pool of examples shown in the Bongard Problem (or any similar dot-counting Bongard Problem).

(There would be no ambiguity if it were actually included in the Bongard Problem.)

(Whether or not zero seems like an obvious example also has a cultural component (see culture); someone who is not accustomed think of zero as a number might not see this as ambiguous at all.)

Larger pools of examples make the absence of notable border cases like this more conspicuous and intentional-seeming. (See also discussion at left-narrow.) But expanding the pool of examples cannot resolve certain border cases: if the rule of the Bongard Problem by nature leaves unsorted a potential example that is a border case for even fitting in with the rest of the examples, its absence doesn't communicate anything; whether it belongs with the pool of examples remains ambiguous.



It is tempting to make another another "allsortedworld" analogous to allsorted. But the pool of relevant examples fitting in a Bongard Problem is like a Bongard Problem with only one side: a collection satisfying some rule. Would there be any difference between precise and allsorted for a Bongard Problem with only one side?

CROSSREFS

Adjacent-numbered pages:
BP1185 BP1186 BP1187 BP1188 BP1189  *  BP1191 BP1192 BP1193 BP1194 BP1195

EXAMPLE

Bongard Problems featuring generic shapes ( https://oebp.org/search.php?q=world:fill_shape ) have not usually been labelled "preciseworld". (What counts as a "shape"? Can the shapes be fractally complicated, for example? What exactly are the criteria?) Nonetheless, these Bongard Problems are frequently precise.

KEYWORD

meta (see left/right), links, keyword

AUTHOR

Aaron David Fairbanks

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