FractoSet is sequence-based material of DNA serving iterative processes. FractoSet may contain "Pyknon"-s as pyknon was defined and discovered by Rigoutsos et al., but presence or functional significance of FractoSet-s was not noted or assessed.
Pyknons of Dr. Rigoutsos and FractoGene
*NEW* See FractoSet "CCC on DVD" (Software service-product, yielding FractoSet-s)
Breakthrough discovery of Rigoutsos et al. (2006) of self-similar, repetitive elements (what they call "Pyknons") throughout the coding- as well as non-coding "Junk" DNA elevates the question how the novel findings relate to fractality of the DNA. (This FractoGene work is already in progress, with astounding preliminary results regarding pyknon-patterns found in other than human DNA, of a cardinally important species). FractoGene in PostGenetics searches for iterative sequences as material bases of recursive synthesis of protein structures, since FractoGene interprets protein synthesis as an iterative process, based on recursion to DNA, which constitutes "fractal sets" - in a causal relationship to the emerging organismal hierarchies that the DNA determines.
Pyknons
Some visual relationship could be immediately be drawn between the new findings and the the FractoGene concept:
Pyknons by Dr. Rigoutsos et al., 2006 (Their Fig.1.)
FractoSet-s (here, ordered sets of pyknons, see circled by oval), searched by FractoGene, were noted visually in Fig. 1. of Rigoutsos et al. (2006).
Below, Fig. 1. by Dr. Rigoutsos (et al, 2006) is highligted (in black) by AJP:
Possibility for a hierarchical, recursive access to "FractoSet"-s with an accumulating number of elements: 2-pyknon FractoSet in 11 instances in (A), 3-pyknon FractoSet in 4 instances in (B) and 4-pyknon FractoSet in 2 instances in (C):
A. 
B.
C.
Another, diverging venue for a hierarchical, recursive access to 4-pyknon FractoSet-s; 11 instances of 2-pyknon FractoSet (D, identical to A above), 4 instances of 3-pyknon FractoSet (E, identical to B above) and 2 *different* instances of 4-pyknon FractoSet (F, the two instances of 4-pyknon FractoSet are *different* from the above C):
D. E.
F.
The conceptual interpretation of "self-similar repetitive elements as fractal sets" in DNA were depicted (2002) in FractoGene (note that diagram of 2002 was for visualization purposes only - state of art of FractoGene is much advanced since): See general information on "Junk DNA".
FractoGene did provide not only a functional interpretation of self-similar repetitive sequences of DNA, but also came forward with experimentally falsifiable or verifiable quantitative predictions. The "Fugu prediction" has already received experimental support, now published. The "Methylation prediction" (for silencing "PostGenes", amenable as a method for "PostGene Discovery") is presently tested, with indirect confirmation already on record. FractoGene, within 72 hours of appearance of the "pyknon"-s results of Dr. Rigoutsos (et al, 2006), was ready with 3 novel, experimentally verifiable or falsifiable predictions of FractoGene in relation to potential functional interpretation of "pyknon"-s. (Parties interested in experimental tests may contact pellionisz_at_junkdna.com).
Visually, "FractoSet"-s were noted (defined as sequence-based material of DNA serving iterative processes) in Rigoutsos' Figure 1. circled by ovals), and were related to FractoGene, since FractoGene searches for sequence-based material bases in DNA serving reverberative proceses of iterative morphogenesis of protein structures.
A particular "FractoGem" finding (defined as an assortment of Precious FractoSet-s) is submitted for peer-review and subsequently presented for the whole genome in a verifiable manner for a non-human species.