PES Tiles, v0.05.20170125

Continues from v0.04, at: http://baunic-movie.blogspot.com/2017/01/pes-tiles-v00420170121.html

(20170210 note: This is not the latest most complete continuation version. The current continuation from v0.04 is baunic-movie.blogspot.com/2017/02/pestiles-v00720170228.html, should you have reached this place through outdated links on forums and messages.  When an official destination will  be the latest and most complete version, a link will point to it also. This draft and its variants will remain here, because core values of the Fictioniverse based on #BAUniC)

 

PES Tiles, v0.05.20170125 notes:

fig171: We are representing only the PES Tiny portion of the points of intersection between parabola and exponential, and counting the numbers as 4p regardless of whether they intersect again at +1 or +2 or +1+1 points on the superbig.
At 1p* and 3p* we meet the original claim of no parabola able to reach the exponential from up. Moving the parabola down from 3p* we go to 4p. Moving the parabola down from 1p* we go to 2p.
There is only one instance of 1p* and 3p* compared to the surrounding respective zero p/2p and 2p/4p.
The 3p parabola crosses the exponential on 2 points of intersection, and touches it from underneath on the point resulting from the merger of innermost points on the 4p parabola as it moves downwards.

fig184: At those scales we cannot represent the points of interest within the same graphic.
The nested representation is for a stronger idea. From here we can define areas of power with various qualities, which can act as a starting point for looking for, let's say, quasi-expanding stable spacetime. The vibrational effects of the sinusoids and the odd-even powered parabolas tugging and echoing, are carried along. The related exponential is associated with one of the asymmetric sides of the graphics based on grid, which we represent as 'big side on the right' for ease of association with the odd powered parabola and its PES Tunnel without flipping either of them.

fig185: Since the PES Tiny and PES Tunnel depend on the finitesimaly small, on a higher powered parabola we can seek a displacement with horizontal vibrations matching a multitude or fraction of the PES, and vertical amplitude that fits in between the gap in the PES. From here, work in progress.