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BP1154 Visual Bongard Problems about Bongard Problems vs. other visual Bongard Problems.
BP805
BP1151
BP1153
BP961
(edit; present; nest [left/right]; search; history)
COMMENTS

This Problem is mostly concerned with categorising BPs whose examples aren't necessarily formatted as traditional Bongard Problems.

CROSSREFS

Adjacent-numbered pages:
BP1149 BP1150 BP1151 BP1152 BP1153  *  BP1155 BP1156 BP1157 BP1158 BP1159

KEYWORD

meta (see left/right), links

WORLD

visualbp [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP1153 Valid multi-sided Bongard Problems vs. invalid multi-sided Bongard Problems.
(edit; present; nest [left/right]; search; history)
COMMENTS

This is a generalisation of Bongard Problems that allows them to have any number of sides. There is a sense in which this problem is about valid vs. invalid ways of partitioning a set of examples into equivalence classes.

CROSSREFS

https://en.wikipedia.org/wiki/Equivalence_class

Adjacent-numbered pages:
BP1148 BP1149 BP1150 BP1151 BP1152  *  BP1154 BP1155 BP1156 BP1157 BP1158

KEYWORD

abstract, teach, infodense, structure, rules, miniworlds

WORLD

zoom in left

AUTHOR

Leo Crabbe

BP1151 Section of the image is a Bongard Problem vs. no section of the image is a Bongard Problem.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1146 BP1147 BP1148 BP1149 BP1150  *  BP1152 BP1153 BP1154 BP1155 BP1156

AUTHOR

Leo Crabbe

BP1148 Number of dots in the Nth box (from the left) is how many times the number (N - 1) appears in the whole diagram vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted examples are sometimes called self-descriptive sequences.

CROSSREFS

See BP1147 for a similar idea.

BP1149 was inspired by this.

Adjacent-numbered pages:
BP1143 BP1144 BP1145 BP1146 BP1147  *  BP1149 BP1150 BP1151 BP1152 BP1153

KEYWORD

nice, precise, unwordable, notso, handed, leftright, left-narrow, sequence, preciseworld, left-listable, right-listable

CONCEPT self-reference (info | search)

AUTHOR

Leo Crabbe

BP1147 Columns of the table could be respectively labeled "Number" and "Number of times number appears in this table" vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1142 BP1143 BP1144 BP1145 BP1146  *  BP1148 BP1149 BP1150 BP1151 BP1152

KEYWORD

nice, precise, notso, handed, leftright, left-narrow, grid, preciseworld

CONCEPT self-reference (info | search)

AUTHOR

Leo Crabbe

BP1146 Same number of dots in top row as in leftmost column vs not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

This is a difficult-to-read attempt at making a Bongard Problem about perfect numbers. Grouping columns together to make rectangular arrays, each maximal (most dots possible) rectangular array of a particular height in any given example has the same number of dots in it (a perfect number, in left-sorted cases), and the dot-width of each array represents a particular divisor of that number.


It is not currently known whether there are a finite amount of examples that would be sorted left.


Every example in this Bongard Problem corresponds to a distinct natural number. There is not a way of representing the number 1 using the rules of construction for examples in this problem (if the problem were simply "Perfect number of dots vs. other number of dots", the example with 1 dot would be sorted right).

REFERENCE

https://en.wikipedia.org/wiki/Perfect_number

CROSSREFS

Adjacent-numbered pages:
BP1141 BP1142 BP1143 BP1144 BP1145  *  BP1147 BP1148 BP1149 BP1150 BP1151

KEYWORD

overriddensolution, left-listable

AUTHOR

Leo Crabbe

BP1145 Polygon that can be achieved by folding a square once vs. other polygons.
(edit; present; nest [left/right]; search; history)
COMMENTS

Although it is tempting at first to make a version of this Bongard Problem with the solution "Shape can be achieved by folding a square a finite amount of times vs. other shapes", this alternate Bongard Problem would just amount to having the solution "Convex shape with straight edges vs. concave shape or convex shape with at least one curved edge."

CROSSREFS

Adjacent-numbered pages:
BP1140 BP1141 BP1142 BP1143 BP1144  *  BP1146 BP1147 BP1148 BP1149 BP1150

KEYWORD

precise, notso, stretch, left-narrow, finishedexamples, preciseworld

CONCEPT square (info | search)

AUTHOR

Leo Crabbe

BP1142 Bongard Problems where there is no way to turn an example into any other sorted example by adding black OR white (not both) vs. Bongard Problems where some example can be altered in this way and remain sorted.
BP285
BP304
BP328
BP329
BP342
BP801
BP934
BP1017
BP1056
BP1104
BP1145
BP1155
BP1156
BP859
BP962
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted problems have the keyword "finishedexamples" on the OEBP.


The addition does not have to be slight.


Left-sorted Problems usually have a very specific collection of examples, where the only images sorted all show the same type of object.


Any Bongard Problem where all examples are one shape outline will be sorted left, and (almost) any Bongard Problem where all examples are one fill shape will be sorted right.

CROSSREFS

See BP1144 for the version about both additions and erasures, and only slight changes are considered.


See BP1167 for a stricter version, the condition that all examples have the same amount of black and white.

Adjacent-numbered pages:
BP1137 BP1138 BP1139 BP1140 BP1141  *  BP1143 BP1144 BP1145 BP1146 BP1147

KEYWORD

unwordable, notso, meta (see left/right), links, keyword, sideless, problemkiller

AUTHOR

Leo Crabbe

BP1141 Object inside of bounding box vs. object outside of bounding box.
(edit; present; nest [left/right]; search; history)
COMMENTS

This Problem is not to be taken seriously.

CROSSREFS

Adjacent-numbered pages:
BP1136 BP1137 BP1138 BP1139 BP1140  *  BP1142 BP1143 BP1144 BP1145 BP1146

KEYWORD

example, overriddensolution, right-full, right-null, invalid, experimental, funny

AUTHOR

Leo Crabbe

BP1140 Bongard Problems where there is a way of adding details to some example (without erasing) that would sort it on the other side vs. Bongard Problems where there is no way of adding details to examples that would sort them on the other side.
BP1
BP2
BP3
BP4
BP6
BP14
BP15
BP335
BP5
BP8
BP10
BP11
BP12
BP13
BP16
(edit; present; nest [left/right]; search; history)
COMMENTS

This classification is specifically concerned with changes to examples that leave them sortable, as there are almost always ways of adding details to a BP's examples that make them unsortable.


Another version of this Bongard Problem could be made about adding white (erasure of detail) instead of black (addition of detail).

Another version could be made about adding either white or black, but not both.

CROSSREFS

Closely related to gap Problems and stable Problems.

Bongard Problems tagged finishedexamples will fit right.

Adjacent-numbered pages:
BP1135 BP1136 BP1137 BP1138 BP1139  *  BP1141 BP1142 BP1143 BP1144 BP1145

KEYWORD

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

AUTHOR

Leo Crabbe

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