Tom Bates
This video describes and gives a small taste of the visual potential
of the integer number line that arises from spiraling it around
itself on square and hexagonal tessellations. Each cell of such a
tessellation becomes a location to make a mark. Marks are made
according to a mapping from the positive integers to another
positive integer sequence.. The marks are arbitrary: they might
overlap, they can be colored, semitransparent, and have any shape,
but are always placed at the center of a tile in the underlying but
not necessarily visible tessellation. In this case the mapping is
from each of the positive integers i to another sequence such as
floor[i * (n + t * ε)] where n is an integer, 0 < ε < 1, and t is an
integer parameter, which can be thought of as a frame number in an
animation. If t or ε were zero, this would simply map the integers
to the multiples of n but when they are not I call the resulting
pattern an in-betweener.