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BP342 |
| Exactly one axis of symmetry vs. either zero or more than one axis of symmetry. |
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BP343 |
| No two shapes are the same vs. at least two shapes are the same. |
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BP344 |
| Shape can tile itself vs. shape cannot tile itself. |
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COMMENTS
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Left examples are sometimes called "rep-tiles."
The tiles all must be the same size. More specifically, all left examples can tile themselves only using scaled down and rotated versions of themselves with all tiles the same size. Right examples cannot tile themselves using scaled down rotated versions of themselves or even reflected versions of themselves with all tiles the same size.
Without the puzzle piece-like shape EX4120 on the right side the current examples also allow the solution "shape can tile with itself so as to create a parallelogram vs. shape cannot tile with itself so as to create a parallelogram." |
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CROSSREFS
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See BP532 for a version with fractals.
Adjacent-numbered pages:
BP339 BP340 BP341 BP342 BP343  *  BP345 BP346 BP347 BP348 BP349
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EXAMPLE
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Go to https://oebp.org/files/yet.png for an illustration of how some left-sorted shapes tile themselves. |
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KEYWORD
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hard, precise, notso, unstable, math, hardsort, creativeexamples, proofsrequired, perfect, traditional
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CONCEPT
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recursion (info | search), self-reference (info | search), tiling (info | search), imagined_shape (info | search), imagined_entity (info | search)
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WORLD
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shape [smaller | same | bigger]
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AUTHOR
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Aaron David Fairbanks
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BP345 |
| Intersection of circle and square vs. union of circle and square. |
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BP346 |
| Object on the right fits in pattern on the left vs. object on the right does not fit in pattern on the left. |
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BP347 |
| No pattern (variety of shapes) vs. all shapes have something in common. |
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BP348 |
| Shape on the right is the convex hull of shape on the left vs. not so. |
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BP349 |
| One object does not belong to the pattern of the rest vs. all objects form one pattern. |
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COMMENTS
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The left examples are the right examples with one object altered, which makes the solution easier to see.
"Odd one out." |
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CROSSREFS
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Adjacent-numbered pages:
BP344 BP345 BP346 BP347 BP348  *  BP350 BP351 BP352 BP353 BP354
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KEYWORD
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anticomputer, help, contributepairs, traditional, rules, collection
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CONCEPT
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categorization (info | search), existence (info | search), feature_cluster (info | search), number_cluster (info | search), shape_cluster (info | search), cluster_of_one (info | search), cluster (info | search), one (info | search)
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AUTHOR
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Aaron David Fairbanks
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