3. The 3-D Periodic Table (and Bias Planes)

by Tom Gilmore
Copyright 2018
All graphics by Tom Gilmore

The 3-D Periodic Table (2-8-5)

 (2) The periodic table begins with a pair (2) of Elements (Hydrogen and Helium) that exhibit the duality of active and inert.  This duality extends into the entire periodic table.

(2-8): Following this are (2) octaves (8) of Elements that exhibit an expanded duality of active and inert (7 active and 1 inert).  The octave extends into the entire remainder of the periodic table.

(2-8-5): Following the 2 octaves are 2 sets of 2 more of the same octaves as the first 2 octaves except that after the second (2) Element in each octave (8), additional Elements in sub-groups of (5) are inserted.  These sets of 5 occur as 3 groups of 10 (2x5), and 2 groups of 15 (3x5), both adding to 30 each, except that at Element 57 the first group of 15 intercepts and replaces the first Element of the third group of 10, reducing the third group of 10 down to 9.  To show this pattern correctly requires a 3 dimensional approach to the periodic table, as shown below.

The first intercepting group of 15 (Elements 57 to 71) are called the Lanthanides, and are centered on Element 64 (4x4x4).  The second set of 15 is centered on 96 (3/2 of 64).

Sphere Arrangements and Bias Forms

The Protons in an Element are encased individually in spherical force surfaces.  Only certain Atomic Numbers can arrange the Spheres to meet the Order and Symmetry Laws, and those that don’t meet the requirements must bond with other atoms to reach a number of Spheres that does meet the symmetry requirement (of 2-dimensional symmetry, but not 3-dimensional symmetry).  The valid Sphere arrangements will form internal force planes if sufficient Sphere centers align on that plane (called the Bias), and the Element will be a solid, subject to crystal forces, but also subject to any atomic bonding that reduces the internal Bias energy (the law of Lesser Energy).  When there are no Bias planes formed, the Element is inert, meaning it is a monatomic gas, and it is not subject to atomic bonding.

Valence is one or more positive or negative integer numbers that counts the atomic number distance between an Element and other elements it can bond with.  In the Geocubic Model, the valence is the number of Spheres either borrowed or loaned by an Element in bonding with another Element.

The Special Groups

There are clear periodic relationships of valences (and some physical properties) between some Elements aligned on the periodic table, in particular the 3 columns enclosed by a rectangle in the diagram below, the inert (zero valence) at far-right, the halogen (-1 valence) at second column from right, and the alkali (+1 valence) at far-left.

A – The “Stair-Step” separates the metals (left) from the non-metals (right).
B – The magnetic group.  Iron(26) is the most magnetic, followed by Nickel(28).
C – The “Coinage Group”.  Copper(29), Silver((47), and Gold(79).
D – The Platinum Group are “noble” metals, meaning that in bulk they resist oxidation.
E – The Refractory Group resist infusion from other metals.  This is due to their “perfect” bias ratio of 3/4.

The Refractory Group (3/4 and 3/2)

The refractory group contains Bias-to-filler ratios of 3/4 split to 3/2.

The internal arrangement of the compressed spheres of Element 41 and 42 are diagrammed below (with the central diagonal layer isolated).  There is a similar diagonal layering in both Elements 41 and 42, with diagonal layers of 3,9,(17 or 18),9,3.  The central diagonal layers alternate 5 rows of 3 and 4 spheres, the difference being starting with a row of 3 (Cube/41) or a row of 4 (Cube/42).  This offset layering of rows acts to compact the spheres, as they nestle between rows. 

There is an exact mathematical ratio in Cube/42, (18/24=3/4), between 18 Spheres in the central diagonal layer and the 24 “fillers”.
There are 12 fillers on either side of the central diagonal layer, so there is an exact ratio (18/12=3/2) of the 12 fillers per side to the 18 Bias Spheres.

This mathematical ratio is repeated at a larger scale in the average of the two refractory Elements of Cube/73 and Cube/74, as illustrated above.  The central diagonal layers alternate 7 rows of 4 and 5 spheres, the difference being starting with a row of 4 (Cube/73) or a row of 5 (Cube/74).  In this case the same exact ratios involve the averaged diagonal Bias layers of the two elements ((31+32)/2=31.5).  There are 21 spheres on each side of the diagonal Bias layers, so the ratio of the averaged diagonal layer (31.5) to the total fillers is (31.5/42=3/4), and the ratio of the 21 fillers of each side to the averaged diagonal layer of 31.5 is (31.5/21=3/2).

Evenly Divisible by Ten (3/2 and 3/4)

Three Elements evenly divisible by 10 also have a diagonal Bias with fillers split to either side.

The 10’s group perfect ratios are inverted from the refractory groups.

The refractory group has Bias-to-filler ratios of 3/4 split to 3/2.
                                           filler-to-Bias ratios of 4/3 split to 2/3

The 10’s group has Bias-to-filler ratios of 2/3 split to 4/3
                       
        filler-to-Bias ratios of 3/2 split to 3/4

Using Bias-to-filler ratios,
Cube/30 is 12/18 = 2/3, split to 12/9 = 4/3
Cube/40 is 16/24 = 2/3, split to 16/12 = 4/3   
Cube/50 is 20/30 = 2/3, split to 20/15 = 4/3 

Using filler-to-Bias ratios,
Cube/30 is 18/12 = 3/2, split to 9/12 = 3/4
Cube/40 is 24/16 = 3/2, split to 12/16 = 3/4   
Cube/50 is 30/20 = 3/2, split to 15/20 = 3/4 

The inverted perfect ratio can be seen in the split-up of each step of adding 10, where 4 go to the central Bias diagonal and 6 to the fillers (6/4=3/2).  Since the added fillers are split 3 to each side, the ratio of the 3 added Spheres to each side of the 4 added to the central diagonal is (3/4=3/4).

3 Layer Elements

With 18 Spheres, Argon(18), the law of order dictates that the Spheres take on 3 layers.  With 3 layers (an odd number), both even and odd atomic numbers have valid arrangements (all the way to Iron(26).

Chromium(24) forms compressed double-crossing Bias planes, and this is responsible for its deep shine.

3 Layers Magnetic (Electric Stimulation)

With 3 layers, a layer cannot take 10 or 11 Spheres (without 4 Spheres lining up), and the next layer-form possible is 12, where 4 rows of 3 are offset (see layer of 12 below). 

Iron(26) has a magnetized allotrope shown above where a layer of 12 is sandwiched between layers of 7.  The Spheres on the Iron Bias plane are more compressed than on the 2 outer planes, and this creates a local 2-dimensional gravitational distortion (a magnetic field), and the same applies to Nickel, but to a far lesser degree (due to having 2 additional filler Spheres).  The Nickel Bias ratio of 12 Bias to 16 fillers 12/16 is the Bias ratio of 3/4 split to 3/2.  Nickel has no non-magnetized allotrope.

The magnetized Iron allotrope ratio of 12/14 (7/6) is imbalanced, and will gradually revert to the non-magnetic allotrope, de-magnetizing in response to the Law of Lesser Energy.  Iron within the magnetic field of magnetic Iron will be charged by the field and convert to the magnetic allotrope (in turn attracting non-magnetic Iron).  The strength of a magnet is related to the percent of magnetized Iron in the magnet.  Electrical magnetization is based on a flow of Electrons supporting the allotropic form. 

A similar electrically induced allotropic change in Neon(10) is exploited in producing Neon light.

Neon(10) is an inert gas that when energized by electric current forms a diagonal Bias of 6 Spheres as shown above, however when the current is withdrawn the inert arrangement of Spheres takes over (due to the Law of Lesser Energy), and the energy of the Bias converts to light.  The Electron changes to a Photon, but the particle is unchanged, only it’s wave-form has altered. (refer to article on Electrons).  By pulsing the electric current a rapidly flickering conversion from electricity to light is produced.

Cube/27 is 3x3x3 and as such is symmetrical in all three dimensions, violating the Law of Symmetry’s precluded order.  There is no 3-layer distribution of Spheres that is symmetrical in 2 dimensions, so (59)Cobalt(27) is absent order.

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