Search: keyword:grid
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| BP904 |
| Rows show all possible ways a certain number of dots can be divided between a certain number of bins vs. not so. |
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| BP981 |
| Grid of analogies vs. different kind of rule. |
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COMMENTS
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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. |
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CROSSREFS
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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
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KEYWORD
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nice, convoluted, unwordable, notso, teach, structure, rules, grid, miniworlds
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CONCEPT
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analogy (info | search)
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WORLD
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grid_of_images_with_rule [smaller | same | bigger]
zoom in left (grid_of_analogies)
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AUTHOR
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Aaron David Fairbanks
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| BP997 |
| There exists a loop that passes through every white square once without passing through the black square vs. there exists no such loop. |
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| BP1057 |
| Filled subsection divides the grid vs. not so |
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| BP1072 |
| Filled subsection is largest square that divides the grid vs. not so |
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| BP1123 |
| Can be cut into tiles forming a checkerboard pattern vs. not so. |
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| BP1147 |
| Columns of the table could be respectively labeled "Number" and "Number of times number appears in this table" vs. not so. |
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| BP1175 |
| Each symbol appears once in any given row or column vs. not so. |
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