I have since published in 2023: This entry is one of a set of entries on the fractal and the strange (quantum-like) nature of them. I use the word quantum because there is no other area of knowledge that comes close to explaining or relating to the discoveries I am making with fractal geometry. Blair 11,03,2013 Wave and particle D uality - and the fractal The below entry is a discovery, not an explanation. I (intend to) write what I see, and what I expect I have found - I do not pretend to fully understand. Just as the atom can ' weirdly' be described as being both a particle and as a ‘smeared out’ wave at the same time, so too, as I shall demonstrate, can the fractal be described in such a way - only for the fractal it is not so weird. The fractal demonstrating a (discrete) particle: The fractal is defined by a pattern, object or shape repeating or iterating. The Koch Snowflake (below) demonstrates this iterating - the triangle represents the particle.