Any standard type of this is linear when a log-log graph is made of repetitions vs scale.
One example of this construct is Gosper Island, which tessellates the plane, and the multi- type of this construct is used to describe systems which require a spectrum of exponents to model their scaling rather than a constant. One of the standard types can be generated by repeatedly moving halfway towards a randomly selected vertex of a triangle or by shading the even numbers in an infinite Pascal's Triangle. Any standard type of this is linear when a log-log graph is made of repetitions vs scale. Examples include the Cantor Set, Sierpiński sieve, and Koch Snowflake. Identify these self-similar constructs with fractional dimension described by Benoit Mandelbrot.
One example of this construct is Gosper Island, which tessellates the plane, and the multi- type of this construct is used to describe systems which require a spectrum of exponents to model their scaling rather than a constant.
fractals