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BP892 |
| Black shapes can be arranged such that they fit inside rectangular outline vs. not so. |
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BP893 |
| As one quantity increases an equally obvious opposite quantity decreases vs. there is only one obvious quantity, which increases as the sequence progresses right. |
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COMMENTS
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Another way of phrasing the solution: "Neither direction would more naturally be called increase in quantity vs. rightward progression would be called an increase."
Most right examples shown are unboundedly increasing, since finite sequences showing a quantity increasing usually also suggest "distance to end of sequence" as a decreasing opposite quantity. Even so, there are some finite sequences with one direction more intuitively increase-like than the other. |
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CROSSREFS
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Adjacent-numbered pages:
BP888 BP889 BP890 BP891 BP892  *  BP894 BP895 BP896 BP897 BP898
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KEYWORD
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creativeexamples, structure, rules
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WORLD
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constant_change_seq_increase_right [smaller | same | bigger]
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AUTHOR
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Aaron David Fairbanks
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BP896 |
| Filled completely by fluid poured into gap (assuming there is already air) vs. not so. |
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BP897 |
| Wide angles connected to narrow angles vs. not so. |
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BP898 |
| Can fold into tetragonal disphenoid ("isosceles tetrahedron") vs. cannot. |
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COMMENTS
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Which two sides are the long sides and which side is the short side, or equivalently which angles are the wider angles and which angle is the narrower angle, is the only relevant information to consider for each triangle. Triangles are all assumed isosceles and congruent to one another.
All examples in this Problem feature four of these triangles connected by corners and/or edges. |
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CROSSREFS
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BP897 was conceived as a false solution for this.
Adjacent-numbered pages:
BP893 BP894 BP895 BP896 BP897  *  BP899 BP900 BP901 BP902 BP903
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KEYWORD
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hard, precise, allsorted, notso, math, preciseworld
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CONCEPT
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triangle (info | search)
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WORLD
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[smaller | same | bigger]
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AUTHOR
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Molly C Klenzak
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BP899 |
| Regions in drawing (ignore background) can be coloured using three or fewer colours such that no adjacent regions are coloured the same colour vs. four colours are required. |
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BP900 |
| Black shape is a valid shadow (2D projection) of 3D shape vs. not so. |
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