Multi-Pattern DMT Framework

The multi-pattern DMT framework is used to construct traits and relationships between traits based on Bitcoin block data, through the use of pattern sets. The framework was developed for use in Natcats.

Pattern Sets

Individual pattern search functions are grouped into pattern sets. Pattern sets are used to construct relationships between traits. Three types of pattern sets are demonstrated in Natcats: exclusive, nested, and intersectional.

Exclusive Pattern Sets

Exclusive pattern sets can be used to establish relationships in which traits cannot coexist with other traits in the set. In the example given below, each pattern search function is tied to the values of 3rd digit of the "blk" string. No two functions can be true simultaneously. Together, these patterns form a pattern set that controls "left ear color", as variations of this trait should not occur together.

Pattern Function	Trait	Rarity	Example Block
digit 3 = 0	Left ear color: indigo	800 (9.9%)	123025
digit 3 = 1	Left ear color: lilac	800 (9.9%)	624122
digit 3 = 2	Left ear color: yellow	800 (9.9%)	43292
digit 3 = 3	Left ear color: blue	816 (10.1%)	42342
digit 3 = 4	Left ear color: brown	800 (9.9%)	42442
...

Nested Pattern Sets

Nested pattern sets can be used to establish dependencies between traits, or variations of a trait.

In the example below, the pattern "contains 420" will only ever occur when the pattern “contains 4 and 0" occurs also. This relationship is therefore considered nested, and allows for the trait “catnip” (c420) to be treated as a child of the parent trait “cigarette” (c4&0).

Pattern Function	Trait	Frequency	Example Block
contains "4" and "0"	Cigarette	1446 (17.9%)	42340
contains "420"	+ Catnip	38 (0.5%)	124203

Intersectional Pattern Sets Pattern sets containing patterns that will occur together sometimes, but not always, can be considered intersectional. These pattern sets can be used when a variety of trait combinations is desired.

In the example below, the trait "pearls" is applied when “multiple of 13” is true, and the trait "spikes collar" is applied when “multiple of 69” is true. These traits can be found separately and together. An example of the latter is on block 123786, which is a multiple of both 13 and 69.

Trait combinations on block numbers such as 123786 are less likely to occur than each trait independently, and may be considered more desirable for this reason.

Pattern Function	Trait	Frequency	Example Block
is multiple of 13	Pearls	620 (7.7%)	43420
is multiple of 69	Spikes collar	116 (1.4%)	124062
-	both traits	7 (<0.1%)	123786