The conceptual limit of the sequence may not be the limit of the points in the image. For example in a sequence of halvings the limit value is never reached, so the bottom would never change color and thus its limit would not would not either.

Sequences progress from left to right (and there is not usually a way to intuitively extend the sequence in the other direction).

Note this is not actually the limit of each infinitesimal point assembled into an image. For example in a sequence of halvings the limit value is never reached, so the bottom would never change color and thus its limit would not would not either.

Sequences progress from left to right (and there is not usually a way to intuitively extend the sequence in the other direction).

Note this is not actually the limit of each infinitesimal pixel assembled into an image. For example in a sequence of halvings the limit value is never reached, so the bottom pixel would never change color and thus its limit would not would not either.

Sequences progress from left to right (and there is not usually a way to intuitively extend the sequence in the other direction).

Object shown below is the "limit" of the sequence above (end result after "infinite time") versus not so.

Note this is not actually the limit of each infinitesimal pixel assembled into an image. For example in a sequence of halvings the limit value is never reached, so the bottom pixel would never change color and thus its limit would not would not either.

Note this is not actually the limit of each pixel assembled into an image. For example in a sequence of halvings the limit value is never reached, so the bottom pixel would never change color and thus its limit would not would not either.

Object shown below is the intuitive "limit" of the sequence above (end result after "infinite time") versus not so.

Note this is not actually the limit of each pixel assembled into an image. For example in a sequence of halvings the limit value is never reached, so the bottom pixel would never be change color and thus its limit would not would not either.

Aaron David Fairbanks

Bongard Problems with "world" finitely many simple 2D black filled-in shapes (with holes allowed as in BP791) that are allowed to nest vs. other Bongard Problems.

Aaron David Fairbanks