Search: keyword:stub
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| BP994 |
| Net corresponds to a solid that can tessellate 3D space vs. net does not correspond to a solid that can tessellate 3D space. |
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COMMENTS
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More specifically these solids are polyhedra, and are often called "space-filling".
There is ambiguity here regarding some nets that can be folded to make multiple different solids. For example EX8175 could correspond to a cuboid with a pyramid-like protrusion at each end, a protrusion at one end and an indent at the other, or 2 indents. Only the second of these options can tessellate 3D space. For clarity's sake examples like this are not sorted on either side. |
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CROSSREFS
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Adjacent-numbered pages:
BP989 BP990 BP991 BP992 BP993 * BP995 BP996 BP997 BP998 BP999
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KEYWORD
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stub, precise, 3d, perfect, preciseworld
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CONCEPT
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3d_net (info | search),
3d_solid (info | search)
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WORLD
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polyhedron_net [smaller | same | bigger]
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AUTHOR
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Leo Crabbe
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| BP999 |
| The collection of collections obeys the same rule as the individual collections vs. it does not. |
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COMMENTS
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Rhetorical question: Where would the collection of left examples of this Bongard Problem be sorted by this Bongard Problem? (The question is whether these examples considered together satisfy the pattern that all the parts do, namely that the whole satisfies the pattern that all the parts do.)
See BP793 and BP1004 for similar paradoxes. |
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CROSSREFS
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See BP1005 for the version about only numerical properties; examples in that BP would be sorted the same way here that they are there.
See BP1003 for a similar idea. Rather than the collection of collections imitating the individual collections, BP1003 is about the total combined collection imitating the individual collections. A picture showing (for example) an odd number of even-numbered groups would be sorted differently by these two BPs.
Also see BP1004, is likewise about the whole satisfying the same rule as its parts, but there the parts don't themselves have to be collections; there the parts are just plain individual objects. The panels in BP999 (this BP) should be sorted the same way in BP1004.
See BP1002, which is about only visual self-similarity instead of more general conceptual "self-similarity".
Adjacent-numbered pages:
BP994 BP995 BP996 BP997 BP998 * BP1000 BP1001 BP1002 BP1003 BP1004
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KEYWORD
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nice, stub, abstract, creativeexamples, left-narrow, rules, miniworlds
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CONCEPT
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recursion (info | search),
self-reference (info | search)
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WORLD
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[smaller | same | bigger]
zoom in left | zoom in right
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AUTHOR
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Aaron David Fairbanks
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| BP1001 |
| "____ vs. not" Bongard Problem vs. not. |
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| BP1082 |
| Shapes are congruent if (and only if) they are enclosed in the same space vs. not so. |
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| BP1085 |
| More triangles on the right vs. more triangles on the left. |
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| BP1091 |
| Rubik's Cubes which are solvable vs. not |
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| BP1098 |
| Concave shapes whose cavities are similar to the shape vs. concave shape whose cavities are not similar to the shape. |
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| BP1137 |
| Constructible Polygon vs. Non-constructible Polygon |
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