Left-sorted Bongard Problems have the the keyword "left-narrow" on the OEBP.

Call a pattern "narrow" if it is likely to be noticed in a large 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.

Intuitively, a narrow pattern seems small in comparison to the space of other related possibilities. Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").

Both sides of a BP can be narrow, e.g. BP6.

Even a pattern and its conceptual opposite can be narrow, e.g. BP20.

What seems like a typical example depends on expectations. If one is expecting there to be triangles, the absence of triangles will be noticeable. (See the keyword @assumesfamiliarity for Bongard Problems that require the solver to go in with special expectations.)

A person might notice the absence of triangles in a collection of just polygons, because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.

Typically, any example fitting a narrow pattern can be changed slightly to no longer fit. (This is not always the case, however. Consider the narrow pattern "is approximately a triangle".)

Note that this is not just BP514 (@right-narrow) flipped.

See BP830 for a version with pictures of Bongard Problems (@miniproblems) instead of @links.

Left-sorted Bongard Problems have the the keyword "left-narrow" on the OEBP.

Call a pattern "narrow" if it is likely to be noticed in a large 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.

Intuitively, a narrow pattern seems small in comparison to the space of other related possibilities. Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").

Both sides of a BP can be narrow, e.g. BP6.

Even a pattern and its conceptual opposite can be narrow, e.g. BP20.

What seems like a typical example depends on expectations. If one is expecting there to be triangles, the absence of triangles will be noticeable. (See left-BP1111, the keyword "assumesfamiliarity", for Bongard Problems that require the solver to go in with special expectations.)

A person might notice the absence of triangles in a collection of just polygons, because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.

Typically, any example fitting a narrow pattern can be changed slightly to no longer fit. (This is not always the case, however. Consider the narrow pattern "is approximately a triangle".)

Note that this is not just BP514 ("right-narrow") flipped.

Left-sorted Bongard Problems have the the keyword "left-narrow" on the OEBP.

Call a pattern "narrow" if it is likely to be noticed in a large 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.

Intuitively, a narrow pattern seems small in comparison to the space of other related possibilities. Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").

Both sides of a BP can be narrow, e.g. BP6.

Even a pattern and its conceptual opposite can be narrow, e.g. BP20.

What seems like a typical example depends on expectations. If one is expecting there to be triangles, the absence of triangles will be noticeable. (See left-BP1111, the keyword "assumesfamiliarity", for Bongard Problems that require the solver to go in with special expectations.)

A person might notice the absence of triangles in a collection of just polygons, because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.

Typically, any example fitting a narrow pattern can be changed slightly to no longer fit. This is not always the case, however. (Consider the narrow pattern "is approximately a triangle".)

Note that this is not just BP514 ("right-narrow") flipped.

Left-sorted Bongard Problems have the the keyword "left-narrow" on the OEBP.

Call a pattern "narrow" if it is likely to be noticed in a large 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.

Intuitively, a narrow pattern seems small in comparison to the space of other related possibilities. Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").

Both sides of a BP can be narrow, e.g. BP6.

Even a pattern and its conceptual opposite can be narrow, e.g. BP20.

What seems like a typical example depends on expectations. If one is expecting there to be triangles, the absence of triangles will be noticeable. (See left-BP1111, the keyword "assumesfamiliarity", for Bongard Problems that require the solver to go in with special expectations.)

A person might notice the absence of triangles in a collection of just polygons, because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.

Typically, any example fitting a narrow pattern can be changed slightly to no longer fit.

Note that this is not just BP514 ("right-narrow") flipped.

Left-sorted Bongard Problems have the the keyword "left-narrow" on the OEBP.

Call a pattern "narrow" if it is likely to be noticed in a large 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.

Intuitively, a narrow pattern seems small in comparison to the space of other related possibilities. Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").

Both sides of a BP can be narrow, e.g. BP6.

Even a pattern and its conceptual opposite can be narrow, e.g. BP20.

What seems like a typical example depends on expectations. If one is expecting there to be triangles, the absence of triangles will be noticeable. (See left-BP1111, the keyword "assumesfamiliarity", for Bongard Problems that require the solver to go in with special expectations.)

A person might notice the absence of triangles in a collection of just polygons, because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.

Note that this is not just BP514 ("right-narrow") flipped.

Left-sorted Bongard Problems have the the keyword "left-narrow" on the OEBP.

Call a pattern "narrow" if it is likely to be noticed in a large 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.

Intuitively, a narrow pattern seems small in comparison to the space of other related possibilities. Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").

Both sides of a BP can be narrow, e.g. BP6.

Even a pattern and its direct opposite can be narrow, e.g. BP20.

What seems like a typical example depends on expectations. If one is expecting there to be triangles, the absence of triangles will be noticeable. (See left-BP1111, the keyword "assumesfamiliarity", for Bongard Problems that require the solver to go in with special expectations.)

A person might notice the absence of triangles in a collection of just polygons, because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.

Note that this is not just BP514 ("right-narrow") flipped.

Left-sorted Bongard Problems have the the keyword "left-narrow" on the OEBP.

Call a pattern "narrow" if it is likely to be noticed in a large 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.

Intuitively, a narrow pattern seems small in comparison to the space of other related possibilities. Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").

Both sides of a BP can be narrow, e.g. BP6.

Even a pattern and its direct opposite can be narrow, e.g. BP20.

What seems like a typical example depends on expectations. If one is expecting there to be triangles, the absence of triangles will be noticeable. (See left-BP1111, the keyword "assuming", for Bongard Problems that require the solver to go in with special expectations.)

A person might notice the absence of triangles in a collection of just polygons, because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.

Note that this is not just BP514 ("right-narrow") flipped.

Left-sorted Bongard Problems have the the keyword "left-narrow" on the OEBP.

Call a pattern "narrow" if it is likely to be noticed in a large 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.

Intuitively, a narrow pattern seems small in comparison to the space of other related possibilities. Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").

Both sides of a BP can be narrow, e.g. BP6.

Further, a pattern and its direct opposite can be narrow, e.g. BP20.

What seems like a typical example depends on expectations. If one is expecting there to be triangles, the absence of triangles will be noticeable. (See left-BP1111, the keyword "assuming", for Bongard Problems that require the solver to go in with special expectations.)

A person might notice the absence of triangles in a collection of just polygons, because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.

Note that this is not just BP514 ("right-narrow") flipped.

Bongard Problems whose left examples could stand alone vs. the right side is necessary to communicate what the left side is.

Left-sorted BPs have the the keyword "left-narrow" on the OEBP.

Call a pattern "narrow" if it is likely to be noticed in a large 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.

Intuitively, a narrow pattern seems small in comparison to the space of other related possibilities. Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").

Both sides of a BP can be narrow, e.g. BP6.

Further, a pattern and its direct opposite can be narrow, e.g. BP20.

What seems like a typical example depends on expectations. If one is expecting there to be triangles, the absence of triangles will be noticeable. (See left-BP1111, the keyword "assuming", for Bongard Problems that require the solver to go in with special expectations.)

A person might notice the absence of triangles in a collection of just polygons, because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.

Note that this is not just BP514 ("right-narrow") flipped.

Left-sorted BPs have the the keyword "left-narrow" on the OEBP.

Call a pattern "narrow" if it is likely to be noticed in a large 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.

Intuitively, a narrow pattern seems small in comparison to the space of other related possibilities. Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").

Both sides of a BP can be narrow, e.g. BP6.

Further, a pattern and its direct opposite can be narrow, e.g. BP20.

What seems like a typical example depends on expectations. If one is expecting there to be triangles, the absence of triangles will be noticeable. (See left-BP1111, the keyword "assuming", for Bongard Problems that require the solver to go in with special expectations.)

And a person might notice the absence of triangles in a collection of just polygons, because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.

Note that this is not just BP514 ("right-narrow") flipped.

Left-sorted BPs have the the keyword "left-narrow" on the OEBP.

Call a pattern "narrow" if it is likely to be noticed in a large 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.

Intuitively, a narrow pattern seems small in comparison to the space of other related possibilities. Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").

Both sides of a BP can be narrow, e.g. BP6.

Further, a pattern and its direct opposite can be narrow, e.g. BP20.

It makes a difference what is thought to be typical. If one is expecting there to be triangles, the absence of triangles will be noticeable. (See left-BP1111, the keyword "assuming", for Bongard Problems that require the solver to go in with special expectations.)

And a person might notice the absence of triangles in a collection of just polygons, because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.

Note that this is not just BP514 ("right-narrow") flipped.

Left-sorted BPs have the the keyword "left-narrow" on the OEBP.

Call a pattern "narrow" if it is likely to be noticed in a large 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.

Intuitively, a narrow pattern seems small in comparison to the space of other related possibilities. Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").

Both sides of a BP can be narrow, e.g. BP6.

Further, a pattern and its direct opposite can be narrow, e.g. BP20.

It makes a difference what is thought to be typical. If one were expecting there to be triangles, the absence of triangles would be noticeable. (See left-BP1111, the keyword "assuming", for Bongard Problems that require the solver to go in with special expectations.)

And a person might notice the absence of triangles in a collection of just polygons, because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.

Note that this is not just BP514 ("right-narrow") flipped.

Left-sorted BPs have the the keyword "left-narrow" on the OEBP.

Call a pattern "narrow" if it is likely to be noticed in a large 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.

Intuitively, a narrow pattern seems small in comparison to the space of other related possibilities. Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").

Both sides of a BP can be narrow, e.g. BP6.

Further, a pattern and its direct negation can be narrow, e.g. BP20.

It makes a difference what is thought to be typical. If one were expecting there to be triangles, the absence of triangles would be noticeable. (See left-BP1111, the keyword "assuming", for Bongard Problems that require the solver to go in with special expectations.)

And a person might notice the absence of triangles in a collection of just polygons, because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.

Note that this is not just BP514 ("right-narrow") flipped.

Left-sorted BPs have the the keyword "left-narrow" on the OEBP.

Call a pattern "narrow" if it is likely to be noticed in a large 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.

Intuitively, a narrow pattern seems smaller in comparison to the space of other related possibilities. Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").

Both sides of a BP can be narrow, e.g. BP6.

Further, a pattern and its direct negation can be narrow, e.g. BP20.

It makes a difference what is thought to be typical. If one were expecting there to be triangles, the absence of triangles would be noticeable. (See left-BP1111, the keyword "assuming", for Bongard Problems that require the solver to go in with special expectations.)

And a person might notice the absence of triangles in a collection of just polygons, because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.

Note that this is not just BP514 ("right-narrow") flipped.

Left-sorted BPs have the the keyword "left-narrow" on the OEBP.

Call a pattern "narrow" if it is likely to be noticed in a large 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.

Intuitively, a narrow pattern seems smaller in comparison to the space of other related possibilities. Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").

Both sides of a BP can be narrow, e.g. BP6.

Further, a pattern and its direct negation can be narrow, e.g. BP20.

It makes a difference what is thought to be typical. If one were expecting there to be triangles, the absence of triangles would be noticeable. (See left-BP1111, the keyword "assuming", for Bongard Problems that require the solver to go in with special expectations.)

And a person might notice the absence of triangles in a collection of just polygons because a triangle is such a typical example of a polygon. On the other hand, a person will probably not notice the absence of 174-gons in a collection of polygons.

Note that this is not just BP514 ("right-narrow") flipped.

Bongard Problems whose left examples alone could communicate their pattern vs. the right side is necessary to communicate what the left side is.