Search: concept:imagined_entity
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BP280 |
| The left part is wider than the right part vs. the left part is narrower than the right part. |
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BP287 |
| Rays emanating from a central point vs. not so. |
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BP292 |
| Angle made by shapes with vertex at square is not acute vs. angle made by shapes with vertex at square is acute. |
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BP310 |
| Enclosed square repelled by the outside squares, closest to the side of the enclosing square thats farthest from the common center of the outside squares. vs. enclosed square attracted by the outside squares, closest to the side of the enclosing square thats closest to the common center of the outside squares.. |
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BP312 |
| Lines intersect within the box vs. lines intersect out of the box. |
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CROSSREFS
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Adjacent-numbered pages:
BP307 BP308 BP309 BP310 BP311  *  BP313 BP314 BP315 BP316 BP317
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KEYWORD
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precise, allsorted, boundingbox, perfect, unorderedpair, traditional, preciseworld, absoluteposition
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CONCEPT
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completed_out_of_box (info | search), vertex_of_meeting_lines (info | search), imagined_point (info | search), imagined_line_or_curve (info | search), imagined_entity (info | search)
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AUTHOR
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Jakub Štepo
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BP342 |
| Exactly one axis of symmetry vs. either zero or more than one axis of symmetry. |
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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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BP358 |
| The circles will collide if the arrows are their velocities vs. the circles will not collide if the arrows are their velocities. |
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CROSSREFS
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Adjacent-numbered pages:
BP353 BP354 BP355 BP356 BP357  *  BP359 BP360 BP361 BP362 BP363
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KEYWORD
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nice, physics, unorderedpair, traditional
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CONCEPT
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arrow (info | search), tracing_lines_or_curves_meet (info | search), speed (info | search), imagined_line_or_curve (info | search), imagined_entity (info | search), imagined_motion (info | search), motion (info | search), collision (info | search)
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AUTHOR
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Aaron David Fairbanks
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BP362 |
| Choice that solves the analogy exists vs. choice that solves the analogy does not exist. |
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