Search: author:Aaron David Fairbanks
|
|
|
|
|
Sort:
recent
Format:
long
Filter:
(all | no meta | meta)
Mode:
(words | no words)
|
|
|
|
|
|
| |
|
| BP831 |
| Image of a Bongard Problem with left side having two rules and right side narrowing it down vs. image of Bongard Problem whose right hand side adds no information. |
|
| |
|
| |
| |
|
|
| |
|
| BP830 |
| Image of a Bongard Problem with left side a "positive" property and right side the "negative" property versus vice versa. |
|
| |
|
|
|
|
COMMENTS
|
Left: the left hand side is enough to communicate the answer; the left pattern can be seen without the counterexamples on the right.
Right: the right hand side is enough to communicate the answer; the right pattern can be seen without counterexamples on the left.
Flipping a BP will switch its sorting.
The following is taken from the comments on page BP513 (keyword left-narrow):
Call a pattern "narrow" if it is likely to be noticed in a collection of examples, without any counterexamples provided.
A collection of triangles will be recognized as such; "triangles" is a narrow pattern. A collection of non-triangular shapes will just be seen as "shapes"; "not triangles" is not narrow.
Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]"). |
|
|
CROSSREFS
|
See keywords left-narrow and right-narrow.
Adjacent-numbered pages:
BP825 BP826 BP827 BP828 BP829 * BP831 BP832 BP833 BP834 BP835
|
|
|
KEYWORD
|
dual, handed, leftright, meta (see left/right), miniproblems, contributepairs, viceversa, presentationinvariant
|
|
|
WORLD
|
boxes_bpimage_three_per_side [smaller | same | bigger]
|
|
|
AUTHOR
|
Aaron David Fairbanks
|
| |
|
|
| |
|
| BP829 |
| Image of a Bongard Problem with no simple solution versus image of a Bongard Problem with a simple solution. |
|
| |
|
|
|
|
COMMENTS
|
Left examples have no solution, but they do not break the rules in ways so extreme that it is plainly impossible for them to have a solution, such as including the same image on both sides or including no images per side. (See such as including the same image on both sides or including no images per side. |
|
|
CROSSREFS
|
See BP522 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).
See BP968 (flipped) for a version of this Bongard Problem including examples of invalid Bongard Problems that don't even admit a convoluted solution (the same image appears on both sides).
Also see BP1080, which is similar to BP968, but including various different formats of Bongard Problems, distinguishing them from arbitrary images that are not Bongard Problems.
Adjacent-numbered pages:
BP824 BP825 BP826 BP827 BP828 * BP830 BP831 BP832 BP833 BP834
|
|
|
KEYWORD
|
nice, meta (see left/right), miniproblems, creativeexamples, left-unknowable, right-narrow, assumesfamiliarity, structure, help, presentationinvariant
|
|
|
CONCEPT
|
existence (info | search),
simplicity (info | search),
zero (info | search)
|
|
|
WORLD
|
boxes_bpimage_three_per_side_nosoln_allowed [smaller | same | bigger]
zoom in right (boxes_bpimage_three_per_side)
|
|
|
AUTHOR
|
Aaron David Fairbanks
|
| |
|
|
| |
|
| BP828 |
| Image of Bongard Problem with one simple solution vs. image of Bongard Problem with two "independent" simple solutions. |
|
| |
|
| |
| |
|
|
| |
|
| BP827 |
| Image of noisy Bongard Problem vs. image of Bongard Problem with minimal noise. |
|
| |
|
| |
| |
|
|
| |
|
| BP825 |
| Ticks mark an infinite sequence of angles on circle such that each angle is the double of the subsequent angle in the sequence (angle measured from rightmost indicated point) vs. not so. |
|
| |
|
|
|
|
COMMENTS
|
This is solvable; it was solved by Sridhar Ramesh.
A full turn is considered "the same angle" as no turns; likewise for adding and subtracting full turns from any angle. All sequences of angles shown start at the rightmost tick.
It doesn't matter whether the angle is measured clockwise or counterclockwise, as long as the choice is consistent. |
|
|
CROSSREFS
|
Adjacent-numbered pages:
BP820 BP821 BP822 BP823 BP824 * BP826 BP827 BP828 BP829 BP830
|
|
|
KEYWORD
|
hard, convoluted, notso, math, solved
|
|
|
CONCEPT
|
sequence (info | search)
|
|
|
AUTHOR
|
Aaron David Fairbanks
|
| |
|
|
| |
|
| BP824 |
| Objects are generated in a principled way vs. random choices involved. |
|
| |
|
| |
| |
|
|
| |
|
| BP823 |
| Conic section (plot of solution to conic equation) vs. not so. |
|
| |
|
| |
| |
| |
|
|
|
|
|
|
|
|
