[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]

*To*: voynich@xxxxxxxx*Subject*: f56r - an inverse hyperbolic spiral?*From*: Nick Pelling <incoming@xxxxxxxxxxxxxxxxx>*Date*: Wed, 12 Dec 2001 11:19:16 +0000*In-reply-to*: <5.1.0.14.0.20011211125442.0236b2c0@mail.globalnet.co.uk>*References*: <OF13B5352E.15692005-ON86256B1E.005D2FC0@TEXASMUTUAL.COM>

(1) that the Hebrew alphabet was preceded by a universal gesture language (which some people equate with the language of Babel), and that the forms of Hebrew letters are in some way a codfication of that gesture language; and

(2) that the letters of the alphabet can also be thought of as being multiple views of a single non-linear curve - the "light in the meeting tent" hypothesis.

The shape of the stalk is that of the inverse or hyperbolic spiral. This particular spiral, which is not a log or a golden type spiral, appears throughout Leonardo's notebooks, throughout the illustrations in the Book of Kells, and most prominently, under the "Eye of Horus".

The two florets at the bottom have a total of 33 spikes. There are 33 tetrahedra in a unit-turn tetrahelical column, and there are 33 vertebrae (including fused) in the human spine.

The total number of flame-like "leaves" is 18, but there are also 2 more complicated florets, plus the 2 at the bottom, for a total of 22, which is the number of Canaanite letters. There are also 22 faces exposed on each of the 3 ribbons of a 33-tetrahedron tetrahelical column.

The base has a pineapple-pine tree type structure, with 9 or 10 spikes. Either number could also allude to the Hebrew-Greek-Arabic alphabet system.

The 18 flame-like leaves reverse-taper, with the larger leaves near the center of the spiral, and the smaller leaves closer to the vertical, linear part of the "stem". This is a characteristic of the reciprocal spiral, where angles get larger, the closer to the center. The equation for the reciprocal or hyperbolic spiral is r x theta = 1.

The reciprocal or hyperbolic spiral is almost completely un-noticed by scholars, who consider all spirals to be the same. But in fact, it's very particular, and totally different than any other spiral, because it moves smoothly from circular motion, strangling the origin, to become asymptotic to a straight line (in this case, vertical).

It's the number of parts, the flame-shaped leaves, and the shape of the bigger leaf-blossoms, that matches the features of the model I've been researching. So, the exact geometry is not as important, particularly since it's my guess that the geometry was known in slightly different contexts at different times, and in different cultures.

But there's no other structure besides the unit-turn tetrahelical column that has 33 volumes and 3 ribbons of 22 faces. Also, the 18 flame-shaped leaves could be a reference to Islamic sources, where although the alphabet contains the full 27 letters, the basic shapes number 18 (if I remember correctly -- someone should check this).

So, I'd assume that the drawing on Voynich page 56 was passed down through a Moslem source, at least at some point.

**Follow-Ups**:**Re: f56r - an inverse hyperbolic spiral?***From:*steve ekwall

**References**:**Re: Ancient number-encoding formats...***From:*Zachary Owen

**Re: Ancient number-encoding formats...***From:*Nick Pelling

- Prev by Date:
**Re: Ancient number-encoding formats...** - Next by Date:
**Re: f56r - an inverse hyperbolic spiral?** - Previous by thread:
**Re: Ancient number-encoding formats...** - Next by thread:
**Re: f56r - an inverse hyperbolic spiral?** - Index(es):