**THE FFELLONIC FORMS**

The

**FFELLONIC FORMS**are a new fundamental series of geometrical forms. They are created by connecting lines between the centres of naturally attaching spheres which form a finite series of twelve arrangements.

**Introduction**The five regular, convex polyhedra called the Platonic Solids have captivated the interest of many famous scholars over the centuries.

Plato, Kepler and many others have tried to understand the Platonic Solids and ultimately discover a link with Nature. This has lead to their characteristics being aligned with planets, elements and any natural pentagonal occurrence.

There has been many books written outlining the Platonic Solids's unique characteristics, with many explaining their perceived philosophy and meaning. However, it is very hard to find any explanation for them other than discussing their physical properties or symbolism.

However things are different with a new series of geometrical structures called the

**FFELLONIC FORMS**as the whole story can now be completed and it allows for a greater understanding and confirms the potential of the Platonic Solids.

***

To explain the complexities of Nature a four dimensional dynamic model must required.

Unfortunately, the Platonic Solids are viewed as three dimensional solids and will fundamentally never achieve any link with Nature if they are described this way.

The problem is that the Platonic Solids are always defined by a traditional definition based on the observation or description of a solid:

**"regular, convex polyhedra with similar, regular polygonal faces that have the same number of faces meeting at each vertex".**

**Following the application of all these parameters, the degree of freedom to realize their full potential is limited.**

So not only is the definition of the Platonic Solids limited to polyhedra but also shape, without any consideration of their relative size. When size is taken into consideration we find there are six Platonic Solids.

As a result of not being able to understand them they have been regarded as a mathematical curiosity and other than making models of them have been of litle interest to academics.

If past scholars had defined them by this way they also would have understood the Platonic Solids and realised they are part of the larger series of twelve geometric structures called the

**FFELLONIC FORMS.**A fundamental aspect of the Platonic Solids

**is that they**

**have no substance and they are definitely not solids,**being created by connecting lines between the centres of naturally attaching spheres.

The geometry of the Platonic Solids is based on the following arrangements of naturally attaching spheres.

by connecting lines between the centres of the naturally attaching spheres

Inverted Tetrahedron Cube Dodecahedron

Bringing the two together

The preferred group is the first one which uses the centre of each sphere for its vertices, as it helps to better identify the spheres and their arrangements.

When similar spheres initially attach to each other they will form the following initial designs These will gradually grow as further spheres with the same capacity to attach come together.

As more spheres attach the distinctive arrangements of Platonic Solids arise.

As the spheres on which the Platonic Solids are based come together the following happens:

The big question to ask is why no one had ever bothered to expand this series by using the same natural principles by which the Platonic Solids are formed. By increasing the same number of spheres attaching at each vertex.

It is that simple. By applying the same rules by which the primary group of the Platonic Solids are constructed, the final result is twelve dynamically formed and individual structures called the

.................................

The

Any feedback would therefore be gratefully received. Tell me if it is not correct or the wrong assumptions are being made or it is not relevant. I will do my best to respond, after all if the

Twitter @ffellonicforms

**The spheres and how they naturally come together is the defining feature of the Platonic Solids not their final shape.**The lines connecting the centres of the spheres creates the geometry of the Platonic Solids which is only a map or chart of these arrangements and therefore has no substance.

When similar spheres initially attach to each other they will form the following initial designs These will gradually grow as further spheres with the same capacity to attach come together.

As the spheres on which the Platonic Solids are based come together the following happens:

- the adjacent spheres are arranged symmetrically around a central axis
- the axis is directed to a centre of the initial form being created.
- each arrangement is identical and constant in design throughout the final structure

The big question to ask is why no one had ever bothered to expand this series by using the same natural principles by which the Platonic Solids are formed. By increasing the same number of spheres attaching at each vertex.

When the above criteria of the base units of the Platonic Solids of the primary group are fully applied the result series is not three structures (Numbers 3, 4 and 5) but twelve

**FFELLONIC**configurations of spheres at each vertex.
The arrangements grow as similar spheres combine to automatically form their
respective final structure.

As
similar base units come together at the different Levels they naturally combine
in turn to form the twelve individual

**FFELLONIC FORMS**of which the primary group of Platonic Solids are only a part.**Level One - Single Line**

A single line which is the First Level of the

**FFELLONIC FORMS**is formed when the centres of the two spheres are joined.**Level Two - Triangle**

When the centres of three spheres are joined by lines a triangular form is the result.

**Level Three - Tetrahedron**

**Level Four - Octahedron**

**Level Five - Icosahedron**

An Icosahedron is not a solid as there is no sphere in the centre. It is a shell about to open out with a further degree of freedom in to the triangular tessellation of Level Six.

***

The following are the first five

**FFELLONIC FORMS**which includes the Platonic Solids. As more come together there has to be more organization to maintain the symmetry.**Level Six - Triangular Tesselation**

The completion of the first half the

**FFELLONIC FORMS**with the spheres coming together on one plane to form an extensive triangular tesselation.**Level Seven - Linear Truss**

**Level Eight - Pyramidic Spaceframe**

Level Ten - Truncated-Octahedral Honeycomb (Final Outline)

11. Cub-Octahedral Honeycomb (Final Outline)

12. Tetrahedral-Octahedral Honeycomb

**FFELLONIC FORMS**. Remembering that they are not solids but a map or chart of naturally attaching spheres.

There is now a great opportunity to have a deeper understanding of the Platonic Solids and properly investigate further the link with Nature which Plato and others sought.

.................................

The

**FFELLONIC FORMS**are an amazing discovery and the inferences that can be made from their construction will lead to many more.

Any feedback would therefore be gratefully received. Tell me if it is not correct or the wrong assumptions are being made or it is not relevant. I will do my best to respond, after all if the

**FFELLONIC FORMS**are that good I should have all the answers.

Twitter @ffellonicforms

Copyright © 2015, 2017 David Fell. All rights reserved.

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