[Edu-sig] Post Mortem (Bridges submission)

[Kirby Urner]

On Thu, Apr 9, 2015 at 4:53 PM, kirby urner <kirby.urner at gmail.com> wrote:

>
>
> On Thu, Apr 9, 2015 at 9:43 AM, kirby urner <kirby.urner at gmail.com> wrote:
>
>>
>> My 3-page paper concluding with the graphic rendered by this source code:
>>
>> https://mail.python.org/pipermail/edu-sig/2015-March/011203.html
>> (Python + POV-Ray)
>>
>> was roundly rejected by the Bridges reviewers.
>> http://bridgesmathart.org/
>>
>>
> They rejected my friend David's paper too.  We were hoping to present back
> to back.  I set up the volume units, David phi-scales them.
>
> David:  "I stand by describing the volume of an icosahedron in E modules
> 420E + 100e3 = 18.512995"
>

Just to give the flavor of David's paper, a bit arcane but accessible to
high schoolers:

"""

PHI SCALING

By scaling the edges of the E module larger or smaller by increments of phi
we increase/decrease the volume by phi to the third power.  The notation
used describes the various sizes of the E module as they are scaled by
phi^1 and their volumes are greatened or lessened by phi^3.  Note the lower
case e is used for the phi^-3 increments and E = e, but e alone is not
utilized.

E module denotations

e6 = ((sqrt 2)/8)phi^-9 or .002325
e3 = ((sqrt 2)/8)phi^-6 or .009851
E = ((sqrt 2)/8)phi^-3 or .041731
E3 = ((sqrt 2)/8)phi^0 or .176766
E6 = ((sqrt 2)/8)phi^3 or .748838

The T module = 1/24 or .041666

The E module can be made of lesser scaled modules with the general
volumetric relationship:

E3 = 4E + 1e3 = 17e3 + 4e6 and so on.

Likewise the volume of which has been dubbed the Super RT or a rhombic
triacontahedron with a radius of phi^1 and the long diagonal of the rhombic
face = 2, which is RBFullers edge for the tetrahedron, octahedron and the
VE or cuboctahdron and the resultant icosahedron from the Jitterbug
transformation process.  The volume of the Super RT is 15√2 or 21.213203.
120E3 = 480E + 120e3

VOLUMES OF FIVE-FOLD POLYHEDRA

The icosahedron with an edge of 2, inscribe within the Super RT, it has a
volume of 18.52295 or 5(sqrt 2)phi^2.  It has an exact E module volume of
100E + 20e3 or 420e3 + 100e6.

The pentagonal dodecahedron, which inscribes in the Super RT with edges =
2(phi^-1) has a volume of 15.350018 = 84E + 12e3 = 348e3 + 84e6

"""

You get the gist yes?   He's measuring volumes in terms of a sliver, a
tetrahedron, in various scales (shape constant).

I've done a lot of Python code around these modules, the E, T, A and B,
sometimes using Cyrillic to show off Unicode:

https://mail.python.org/pipermail/edu-sig/2014-May/011026.html

Here's a picture of the E module:

http://www.rwgrayprojects.com/synergetics/s09/figs/f86411b.html

(120 of these guys assemble into a rhombic triacontahedron).


>
> Bridges:  ""Outside some tedious but not very deep mathematics there is no
> artistic or other cultural component that one expects to see in a formal
> Bridges paper.”
>

Another reason they rejected David's paper is his choice of symbols for Phi
was what the reader used for Null, as in Null Set.

Wrong Unicode glyph!

David is a union pipe fitter, a blue collar guy.  He does his best to
conform to academic rules but sometimes he makes mistakes.

Kirby
OST
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