06/23/2014, 12:48 PM

the PDF shows computational pathways in

Functional Type Shifting Patterns

the Ordertypes 4, 5, 6, and 7 can be seen clearly in the PDF animation

corresponding to hyper4, 5, 6, and 7

of the form n(^k)n using Knuth up arrow notation

where k = 2, 3, 4, and 5

they are easier to follow and more extensible than the formulae expressions.

Mulanept form for hyper7 or heptation, is a bit more difficult to understand than hyper6 or hexation, with the outer seed value of the hyper7 pure noptile corresponding to the hyperexponent of n(^5)n, the actual combinatorics is always a little fiddly as the outer seed value counts one seedvalue and the hyper6 pure noptiles and are well defined being delineated by the vertical braces (2 are visible the others implied) represented by the vertical blocks of 3 brown squares

The visualisation uses the natural folding pattern, fold left, fold up.

FTSPs is the name for any well defined interpretation, usually corresponding to operations, hence the term " nopt " standing for nested operational power tower.

When looking at the transitions, the squares with borders have a particular and well defined meaning according to the relevant information stages in the computational pathway.

copathways.pdf (Size: 347.87 KB / Downloads: 472)

Functional Type Shifting Patterns

the Ordertypes 4, 5, 6, and 7 can be seen clearly in the PDF animation

corresponding to hyper4, 5, 6, and 7

of the form n(^k)n using Knuth up arrow notation

where k = 2, 3, 4, and 5

they are easier to follow and more extensible than the formulae expressions.

Mulanept form for hyper7 or heptation, is a bit more difficult to understand than hyper6 or hexation, with the outer seed value of the hyper7 pure noptile corresponding to the hyperexponent of n(^5)n, the actual combinatorics is always a little fiddly as the outer seed value counts one seedvalue and the hyper6 pure noptiles and are well defined being delineated by the vertical braces (2 are visible the others implied) represented by the vertical blocks of 3 brown squares

The visualisation uses the natural folding pattern, fold left, fold up.

FTSPs is the name for any well defined interpretation, usually corresponding to operations, hence the term " nopt " standing for nested operational power tower.

When looking at the transitions, the squares with borders have a particular and well defined meaning according to the relevant information stages in the computational pathway.

copathways.pdf (Size: 347.87 KB / Downloads: 472)