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BP361 Analogy makes sense vs. analogy does not make sense.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP356 BP357 BP358 BP359 BP360  *  BP362 BP363 BP364 BP365 BP366

KEYWORD

nice, creativeexamples, assumesfamiliarity, structure, traditional, rules

CONCEPT analogy (info | search)

AUTHOR

Aaron David Fairbanks

BP904 Rows show all possible ways a certain number of dots can be divided between a certain number of bins vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

The rows in the panels on the right hand side show all the ways you can divide a certain number of dots between a certain number of bins, ignoring which bins they are placed in.

CROSSREFS

Adjacent-numbered pages:
BP899 BP900 BP901 BP902 BP903  *  BP905 BP906 BP907 BP908 BP909

KEYWORD

solved, left-null, grid, left-listable, right-listable

CONCEPT permutation (info | search)

AUTHOR

Molly C Klenzak

BP981 Grid of analogies vs. different kind of rule.
(edit; present; nest [left/right]; search; history)
COMMENTS

On the left, each row and column could be labeled by a certain object or concept; on the right this is not so.


More specifically: on the left, each row and each column is associated with a certain object or concept; there is a rule for combining rows and columns to give images; it would be possible without changing the rule to extend with new rows/columns or delete/reorder any existing columns. On the right, this is not so; the rule might be about how the images must relate to their neighbors, for example.


All examples show grids of squares with an image in each square, such that there is some "rule" the images within the grid obey.


Left examples are a generalized version of the analogy grids seen in BP361. Any analogy a : b :: c : d shown in a 2x2 grid will fit on the left here.


To word the solution with mathematical jargon, "defines a (simply described) map from the Cartesian product of two sets vs. not so." Another equivalent solution is "columns (alternatively, rows) illustrate a consistent set of one-input operations." It is always possible to imagine the columns as inputs and the rows as operations and vice versa.


There is a trivial way in which any example can be interpreted so that it fits on the left side: imagine each row is assigned the list of all the squares in that row and each column is assigned its number, counting from the left. But each grid has a clear rule that is simpler than this.

CROSSREFS

BP1258 is a similar idea: "any square removed could be reconstructed vs. not." Examples included left here usually fit left there, but some do not e.g. EX9998.


See BP979 for use of similar structures but with one square removed from the grid.

Adjacent-numbered pages:
BP976 BP977 BP978 BP979 BP980  *  BP982 BP983 BP984 BP985 BP986

KEYWORD

nice, convoluted, unwordable, notso, teach, structure, rules, grid, miniworlds

CONCEPT analogy (info | search)

WORLD

grid_of_images_with_rule [smaller | same | bigger]
zoom in left (grid_of_analogies)

AUTHOR

Aaron David Fairbanks

BP1049 3 in a row vs. not
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1044 BP1045 BP1046 BP1047 BP1048  *  BP1050 BP1051 BP1052 BP1053 BP1054

KEYWORD

teach, creativeexamples, left-narrow, right-narrow, contributepairs, fixedgrid, miniworlds

CONCEPT three (info | search)

AUTHOR

Jago Collins

BP1057 Filled subsection divides the grid vs. not so
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1052 BP1053 BP1054 BP1055 BP1056  *  BP1058 BP1059 BP1060 BP1061 BP1062

KEYWORD

math, grid, left-listable, right-listable

CONCEPT division (info | search),
tiling (info | search)

WORLD

zoom in left

AUTHOR

Jago Collins

BP1072 Filled subsection is largest square that divides the grid vs. not so
(edit; present; nest [left/right]; search; history)
REFERENCE

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

CROSSREFS

Any example in this BP is a left example of BP1057.

Adjacent-numbered pages:
BP1067 BP1068 BP1069 BP1070 BP1071  *  BP1073 BP1074 BP1075 BP1076 BP1077

KEYWORD

grid, left-listable, right-listable

CONCEPT division (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Jago Collins

BP1123 Can be cut into tiles forming a checkerboard pattern vs. not so.
?
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are grids consisting of two objects.

CROSSREFS

Adjacent-numbered pages:
BP1118 BP1119 BP1120 BP1121 BP1122  *  BP1124 BP1125 BP1126 BP1127 BP1128

EXAMPLE

EX9124 shows a 9 square by 9 square grid. Take each tile to be 3 squares by 3 squares; there is a 3 tile by 3 tile checkerboard pattern. (One of these tiles is itself a checkerboard pattern; the other is all black squares.)

KEYWORD

hard, nice, precise, allsorted, hardsort, grid, miniworlds

AUTHOR

Jago Collins

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, left-listable, right-listable

CONCEPT self-reference (info | search)

AUTHOR

Leo Crabbe

BP1175 Each symbol appears once in any given row or column vs. not so.
(edit; present; nest [left/right]; search; history)
REFERENCE

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

CROSSREFS

Adjacent-numbered pages:
BP1170 BP1171 BP1172 BP1173 BP1174  *  BP1176 BP1177 BP1178 BP1179 BP1180

KEYWORD

precise, traditional, grid, miniworlds, dithering

AUTHOR

Leo Crabbe

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