Geometry

This page was last updated on June 24, 2015.

"Nothing is of itself alone"

Our conventional education and training are really an exercise in non-duality. Science is quite reductionist in it techniques, assigning definite character and properties to every aspect of observed effects. This is fine as far as it goes, but you would never assign simple linear properties to your own thought patterns. Imagine attempting to explain the motions evident in a simple smoke ring. The motions themselves are incredibly complex. Well, that same complexity should be applied to every aspect of Creation. Matter only appears to have form due entirely to its motion, and the complexity of that motion is extremely difficult to assign as being this or that.

Consideration #1

Inside-out & Outside-in

We are familiar with the concept that predominant character is exposed towards the outside while passive character is held closer to the inside. A windsock for example, may indicate red while blowing one way, but if blown inside-out the red hides on the inside and the blue now appears dominantly towards the outside.

(fig : 1)

If we now apply the same logic to the cubic wave field, the inside-out configuration might appears as follows. Don't fixate too much on the actual shapes, rather focus on the principles involved.

(fig : 1a)

(fig : 1b)

(fig : 1c)

Fig : 1b represents the neutral condition. It is neither expanded nor compressed. It could therefore, be described as the inert gas zero condition.

Imagine for a moment the unseen internal surfaces of fig : 1a are red.

Fig : 1a represents the compressed inwards, a +4 condition whereby all the internal motion has accumulated about the central (0,0,0) point. This geometry is similar to an electrical vacuum being applied to the inert gas condition of fig : 1b, which then pulls the rim boundary in towards the central point. The inner potential migrates inwards to the central (0,0,0) point in preference to the boundary rim.

Matter, density and form appear to accumulate at the center of the wave field. 1a is the outside-in version of 1c

(there is no actual vacuum, I simply use this concept to indicate inward compression)

Fig : 1c represents the expanded inside-out +4 condition, whereby the internal motion has been pushed as far as possible away from the central (0,0,0) point. Nebulosity increases, growth appears through expansion ! Think of an oak tree at year 1 then at year 100 !

As the neutral cube 1b inhales, the potential : space ratio between the (0,0,0) center and those inward facing planes (red) is increased as the available space decreases. The space : potential ratio between those inwards facing planes (grey) and the original boundary rim increases thereby reducing the potential 'concentration'. 1c is the inside-out version of 1a.

When 1a exhales it does NOT produce 1c, rather the exhalations of 1a only return the system to its original starting point of 1b.

'Nothing is of itself alone'

Fig : 1a is a clear demonstration that any inhaling body creates both a positive and negative aspect of that in-breath. The exhalation of 1a, returns the cycle to the neutral of 1b only.

(fig : 1d)

(fig : 1e)

Fig : 1d is analogous to the inhalation cycle of fig : 1a.

Fig : 1e is analogous to the exhalation cycle of fig : 1a.

Remember, those curves 'lines' are Mind, and are exactly the same Mind as is represented by the zero dividing axis. Mind always exists as the fulcrum which divides two opposite expressions.

In other words, when a body inhales the curvature do not stop on a zero axis as is indicated in fig : 1d, because that effect is extended to infinity with every light thread bending as a reaction to the inhalation. Fig : 1d therefore is more representative of a dynamic breathing cycle. so when that body exhales the light thread will straighten up as the polarised condition disappears.

This might help you better understand why light does not travel with a leading edge, it is already there (everywhere) awaiting expression, or a disturbance to tell you it is present. Curvature is omnipresent within the Master Cube, and all other expression react to this back ground potential curvature.

We know that Cosmic Mind is intimately involved in every single expression of motion by projecting its Idea into the simulation as two opposed aspects of the same Idea.

Fig : 1f represents the simultaneous INHALATION of the two possible expression of the Creation Idea of Mind.

Think of it as though,

the thinking process of Mind administers Light-CPR to the opposite expressions

breathing vitalising life and light into them.

(fig : 1f)

Before the 3D universe can come into being there can be NO polarity anywhere. The universe would be therefore non-existent because of the undivided homogeneity of this nothingness. WR describes this homogeneity as parallel light threads, or a calm surface on a pond.

Once those light thread begin to move polarity is created. Polarity implies that the 2d has developed 3d character.

There are no individual light threads as such, because Mind is omnipresent, but representing omnipresent Mind as a solid makes it difficult to envisage motion. So, WR uses the concept of infinity light threads, and if you think of the wind as the process of Mind actively Thinking

then you have a better image of those infinite light threads responding to the breeze.

The gentlest of breezes of Mind Thinking will thus create spiral ripples through the Master Cube.

(fig : 1g)

(fig : 1h)

The light which is administered from Mind is taken as an in-breath by each of the physical opposites. Notice, the 'circular' curvature produced in fig : 1g as a result of simultaneous inhalations. The cubic wave field has acquired circular properties.

Now, if we isolate the left side of fig : 1g as we did with fig : 1d, we can better understand that the curvature of its exhalations runs in the same as that of the inhalation of the right side of fig : 1g. They are though not the same thing. see figs : 1d/1e.

(fig : 1k)

You may need to refer back to the Wave_Music page.

Generative growth from F# to C' tends to decrease in size but increase in density, while generative growth from F# to C° increases volume and decreases in density.

Consideration #2

Compression from the Outside - How ?

(fig : 2a)

(fig : 2b)

Figs : 2a/b each represent an generative inhalation. You may think of 2a as a male inhalation compression towards C', and 2b being a female inhalation compression towards C°.

WRC teaches that neighbouring wave fields reflect in reverse. As one wave field manifests as fig : 2a, the surrounding 6 neighbours manifest as fig : 2b. So, we can now better understand how 2b might 'fit into' 2a during a rhythmic breathing cycle.

When appropriately aligned it may appear as though the inhalation of 2b is aiding the inward inhalation of fig : 2a !

Remember, these tetrahedra are only used to illustrate the mechanism, WR sometimes uses cones to indicate the same technique.

As the generative cycle proceeds, we can think of the compression indicated in fig : 2a as, compression from F# to C' on the outside with

compression from F# to C° on the inside.

Likewise, we can think of the compression indicated in fig : 2b as F# to C° on the outside with F# to C' on the inside. The conditions for inside-out, outside-in oscillation are now set in place.

Consideration #3

The Elements

From the starting point of the inert gas 4 attempts are made to push the face of the cube from a plane into a point touching the central (0,0,0) spot.

(fig : 3)

Fig : 3 is an attempt to indicate to +1 condition whereby the 6 faces are drawn towards the (0,0,0) center. I cannot continue this progression in 3D so the following image will have to suffice.

(fig : 3a)

Fig : 3a attempts to shows the 4 stages of internal compression which transforms the cube of 1b into a wave field with a sphere of dense matter at the center of its own wave field. This same compression effect is occurring on all 6 sides, so, the sphere forms at the apices of 6 tetrahedra at the center (0,0,0) point.

The red, positive, alkali elements grow as indicated in 3a. The spherical geometry is only achieved in the +4 condition when the apices meet. As the zero inert gas condition is the most nebulous of the octave, the increased compression evident in the +1 condition will therefore increase that manifestations melting point and density.

Remember, the exhalations from either the +1, +2, +3 or indeed the +4 stage will return the geometry to the o/zero inert gas condition.

The external compressions of fig : 2b may be represented as follows.

(fig : 3b)

The +1 inhalation of fig : 3b fits inside the +1 inhalation of 3a. The same applies to the other geometries also. These more expanded geometries is how the electro-negative, blue, acidic elements manifest.

(fig : 3c)

(fig : 3d)

Fig : 3c represents a couple of alternating 'male' wave fields, the orange colour highlighting the +1 condition of fig : 3a

Fig : 3d includes the intervening reversed +1 female condition as described in fig : 3b

Consideration #4

Growth

From point #3 it should be noted that 'nothing is of itself alone'. In order for the anode to exist, it must be surrounded by a cathode.

This does not mean that every expression of sodium is surrounded by chlorine, rather sodium has both positive and negative character and each positive aspect is surrounded by it own negative aspect as indicated in fig : 2a.

Growth may be defined as the amalgamation of compressed potential. Accumulation of carbon will be more dense than the same amount of sodium, because the internal compression of carbon is greatest and so the 'concentration/volume' is so much greater. Because sodium is not as compressed it can only achieve a lower 'concentration/volume'

Growth can also be perceived as getting physically bigger, an oak tree for example. The growth from A to B tends to produce dense spheres while the growth from A to C tend to produce more open tubular cells or rings.

(fig : 4a)

(fig : 4b)

Notice, how the tree is simultaneously growing in opposite directions. The roots need the leaves, and the negative leaves need the positive roots. Anodes cannot be created independently of cathodes. Growth is dominant on both sides of the central divide. Radiative effects are also present but during the generative half of the cycle, growth >>> radiation.

As the tree decays then radiation >>> growth and the anodic/cathodic expression return to the seed (A) in the inert gas expression.

Consideration #5

Valency

Up to this point I have indicated that we can think of positive compression as whereby the 6 faces compress towards the common center. We also know that within WRC there are numerous examples of opposed properties and character which are offset by 90°.

We can think of the 6 faces as comprising 1 x N/S pole/face and 2 x E/W poles. It is only the 2 x E/W poles or faces that compress as indicated. The N/S poles/faces do not take part in the bonding process. This reduces the maximum valency of any element to 4.

Consideration #6

Rhythmic Breathing - RBI

(fig : 6 a, b, a, b, a)

Fig : 6 represents adjacent wave field breathing in unison but each one in reverse to its neighbour. Wave fields 1, 3 & 5 are inhaling and are indicated by a positive, generative red arrow, while wave fields 2 & 4 are exhaling indicated by converging blue arrows.

(fig : 7 b, a, b, a, b)

Fig : 7 then reverses and each becomes the other.

Notice how as 6a inhales/6b exhales, it appears as though 6a is encroaching into wave field 6b ! This is the illusion which causes man to believe the light traverses the universe with a leading edge at 186,624 miles/sec.

The rhythmic breathing indicated in figs : 6/7 show that light does travel anywhere. Motion is confined to its own wave field.

The colour of the directional arrows is extremely important here and the colour used by WR has been the cause of much confusion.

WR tends to use a blue arrow to indicate negative generation AND radiation and as such I have struggled to make sense of much of his work. The colour of the directional arrow is not really important but the meaning attributed to those arrows is crucial.

is ok if you mean positive, generation F# to C' in one direction (red) and negative generation F# to C° in the opposite direction (blue). It is not ok, to read this type of image as red generation and blue radiation. The knock effect of this interpretation is that the wave function is aligned N to S as follows, and this does not adhere to the like accumulating like rule !

Figs : 8 are a better representation of generative, propagative union.

(fig : 8 b, a, b, a, b)

Figs : 9 are a better representation of radiative, unwinding process of decay, refolding to seed.

(fig : 9 b, a, b, a, b)

Note carefully the curvature, see how patterns between the wave field of fig : 9 look like patterns within the wave field of fig : 8.

Consideration #7

Illusion of Curvature

Just to continue the last point of 'Consideration #6', consider the following.

(fig : 10)

Fig : 10 indicates the curvature (red) of adjacent generating wave fields. Motion is away from the central zero plane in opposed directions towards the +4 axis. This curvature creates the illusion that opposed curvature is approaching a common +4 axis. See top right of fig : 10.

The lower half of fig : 10 represents the curvature (blue) of adjacent radiating wave fields. Motion within the wave field is away from the +4 extremities back to the central seed condition. See lower right.

Notice, how the curvature of red cell 1 is appears to be duplicated between blue wave fields 1 + 2 although the curvature is due to entirely different reasons !

Likewise, the curvature of red cells 3 + 4 also appears to be duplicated as indicated in blue cell 4, once again the appearance due to entirely different reasons.

Fig : 10a indicates the same dual/non-duality particle/wave observational dilemma !

(fig : 10a)

When entities (a)/(b) are aligned in sequence, it becomes difficult to ascertain where one expression starts or finishes !

All motion is spiral, and all direction is curved.

WR expresses the inert as condition as an expanded 2d disk of diffuse potential.

The cube is only shown here to help visualise how and where this 2d inert gas image will grow into a 3d projection. So, the cube as such has little relevance for the 2d inert gas condition.

You can think of the expanse of the inert gas condition as having maximum E/W character with minimum N/S character. There are 2 x E/W poles and so the single loop of inert gas can now be divided into 4 sub circles one for each direction of compression/expansion.

This inert gas expression is thus sitting on the zero horizontal plane rather than the 2d mathematical x-axis.

In preparation for understanding wave field lensing and how patterned negatives are utilised consider the following images figs : 7d-7g.

(fig : 11d)

(fig : 11e)

(fig : 11f)

(fig : 11g)

Fig : 11d develops the idea of the homogeneous diameter of light-tubes (fig : 7a) into their position within the cubic wave field. The 3 central planes of the cubic wave field are the projection planes. 11d indicates the x/z horizontal plane. The plane has been divided into two, red on top and blue below. As indicated on the 'Music' page the red projection climbs the octave from F# to C', while the blue projection descends the octave from F# to C°.

Fig : 11e indicates that these 4 disks are really one large cone base containing 1/2 of the full potential.

Fig : 11f implies that 4 disks are not necessary. If only one disk is used in conjunction with the internal 'reflecting' mirrors centered at (0,0,0) then the same 4 disk pattern can also be achieved. Nature will always achieve the most effect with the least effort.

Imagine fig : 11g as the projection negative for the inert gas. Rather than one single center of gravity, there are many centers !

The Light of Mind will only pass through the portion of the negative that has a pattern, As the pattern of the negative changes, then the 3D positive pattern (physical body) will also change to reflect the new conditions.

Remember, the Light of Mind is being projected from a place of stillness sandwiched between the red/blue planes.

The 'virtual' building block of Creation

It is necessary to describe the following model as a 'virtual' unit because there is no actually structure to it at all, although our senses are convinced that our perceived universe is filled with structure, rigidity, and geometric form.

Notice, the compression indicated in fig : 12 is from the outside inwards. The reaction to this compression will be from the inside, outwards ! You may need to refer back to Fig : 6 on the Electricity page.

(fig : 12a)

(fig : 12b)

Fig : 12 is the virtual building block of all Creation. This building block has no structure to it at all !

It does indeed seem to have structure, but this illusion will be revealed shortly. See it in action here.

(fig : 12)

(fig : 12c)

(fig : 12d)

(fig : 12e)

Fig : 12a indicates that as compression is active from outside inwards, and that the reaction to that action is outwards. The VOLUME always remains the same. The volume MUST remain the same, though a pressure zone differential will be established within the wave field. It appears as though there is egress from one wave field into another, but again this is an illusion. Fig : 12e illustrates how a reaction can take place without any actual contact or ingress into the wave field itself. Ali side steps a blow which never came !

(fig : 13)

(fig : 13a)

(fig : 13b)

(fig : 13c)

(fig : 13d)

Figs : 13/13d indicate the developing pattern for each locked potential of the generative cycle. The volume of the wave field does not change though it appears to change.

Fig : 13 represents the relaxed, inert condition. No obvious pulsing, condition therefore looks inert.

Fig : 13a represents the +1 state of motion, and wave form pattern. Compress towards the center begins, with expansion towards the outside.

Fig : 13b represents the +2 state of motion, and wave form pattern. Compression/expansion continues.

Fig : 13c represents the +3 state of motion, and wave form pattern. Compression/expansion continues.

Fig : 13d represents the +4 state of motion, and wave form pattern. Compression/expansion reaches a maximum.

fig : 13e)

fig : 13f)

If fig : 13 indicates the pattern for the zero inert gas condition, then fig : 13e is the pattern which defines the overall +4 maximum compressed condition. This is supportive evidence that maximum compression is accompanied by maximum expansion.

The generative cycle is the transition from an expanded cylindrical tube to a peanut shaped (fig : 13f) compressed/expanded state of motion. The peanut shape also implies and supports compression towards the central (0,0,0) focal point.

Each locked potential condition with its associated pattern is now indicated below.

(fig : 13)

(fig : 13a)

(fig : 13b)

(fig : 13c)

(fig : 13d)

(fig : P13)

(fig : P13a)

(fig : P13b)

(fig : P13c)

(fig : P13d)

Fig : P13d represents one pulse of the CARBON pattern. At this moment, it appears as though carbon is holding its breath.

This is a two-way pattern of light, appearing to run at 90° to each other.

Notice, how the compression of the horizontal is caused by the EXPANSION of the vertical. Compression is from the outside. Notice, also that what appears as expansion for one cell in one direction also appears as compression for the surrounding cells.

For example, if we look to fig : 13b as an example. If the L/R expansion was shown as blue only with the N/S motion shown as red, as more cells are added it becomes obvious that the red for one is blue for another ! The distinction between one motion and another is dissolving !

The compression in one unit causes it own expansive reaction, which in turn causes a compression in the neighbourhood. Every motion in any unit is thus felt in and by every other unit... to infinity, and the rate at which that wave progresses is 186,624 mile/sec.

If we examine the +2 condition (fig : P13b) in a little more detail, and interesting pattern becomes obvious. Where might you have encountered this image before ?

(fig : 14)

(fig : 14a)

This symbol spans ancient Sanskrit, WWii, and modern computer operating systems !

Remember, there is no motion INTO the neighbouring wave field.

As motion approaches the wave field boundary it is reflected back INTO the same wave field,

but the reaction (just like Ali in fig : 12e) behaves as if contact and ingress was made.

Wave fields thus react to IMAGES in neighbouring wave field, and these reactions BECOME actions !

The universal building block indicated in fig : 12, has no solidity or structure to it all ! It is only an image born out of motion !

(fig : 16)

(fig : 16a)

(fig : 16b)

(fig : 16c)

These illusionary 'structures', the 'virtual' building blocks are constructed from light waves.

Fig : 16 indicates part of a +1 light wave. The deflection above/below the horizontal is > the inert gas but < the +2 condition.

Fig : 16a continues this +1 wave propagation but 90° to the original horizontal wave stream. The deflection left/right = up/down.

Fig : 16b shows one pulse of a +1 wave, notice how a cubic structure is also implied. Notice also, how the center of that cube is at the corner of the 4 surrounding 'virtual' building blocks.

Fig : 16c shows the reverse +1 pulse. A perceivable vibration occurs when fig : 16b and 16c toggle. The overall cubic structure remains in tact although the structure shimmers with wave motion.

This is a universe of 'virtual' structure only !

Consideration #8

Lensing & Patterned Negatives

Negative patterns

(fig : 1f)

Light can only pass through the cone base lenses.

No light can pass through plane that is without coverage by a lens/cone base.

When maximum compression is achieved at fig : 15d then, incandescence is achieved

(fig : 15)

(fig : 15a)

(fig : 15b)

(fig : 15c)

(fig : 15d)

Figs : 15-15d indicate the negative patterns necessary to manifest the generative half of the cycle.

The same patterns when projected as a 3D image.

(fig : 15_1)

(fig : 15a_1)

(fig : 15b_1)

(fig : 15c_1)

(fig : 15d_1)

The central x/z plane of the cubic wave field supports a red cone base on one side with the blue cone base on the opposite side. This means when Mind projects Light, a red spectrum is created on one side of the wave field, with a corresponding blue spectrum on the opposite side as implied with fig : 1f.

Fig : 17 is designed to give an overall sense of how the inert gas aligns itself within the matrix. Imagine the hanging light threads awaiting the disturbance to express and record that disturbance.

(fig : 17)

(fig : 17a)

You can think of the spacing within one single light tube of fig : 17 as one large cone base divided into 4 (2 x E/W poles). See fig : 17b.

(fig : 17b)

These 4 disks represent the furthest extension of the two E/W poles and thus describe the fully expanded condition, which may be represented by one large circle. The question is, furthest from where ?

The generative half of the cycle wants to do the following,

(fig : 18)

slide the individual gravitational centers/hubs (a, b, c, & d) into the central location at (e). Nature wishes to withdraw the E/W poles into the fulcrum, a condition of maximum compression.

WR often describes this same motion (fig : 18) in terms of the contraction of electrical cone bases.

(fig : 19)

(fig : 19a)

(fig : 19b)

The 4 disks of fig : 18 represent ONE CONE BASE made up of two E/W dimensions.

Fig : 19 indicates (for one disk only) the locations of the new hub positions as the disk compresses inwards from the expanded zero inert gas condition towards the central (0,0,0) axis of the +4 condition, the most compressed condition possible The 4 E/W disks of the inert gas state of motion will thus compress into one, with a common focal hub (e) shared by the 4 disks.

Within the entire 9 octaves of elements, carbon is the only element to achieve this perfect alignment at (e). ALL other elemental expression at the apex of their octave wave (Si for example) never manages to align its E/W poles onto this (e) hub.

Si will thus always wobble on its rotational axis.

Fig : 19a shows the target axis for all generative cycles, only achieved by carbon.

Fig : 19b is a reminder that we are dealing with a 3D 'structure' and as such the red tetrahedron/cone is coming out of the screen, but the blue side is disappearing into the screen.

Growth is accomplished in stages, with each new addition being added to all the previous stages.

(fig : 19c)

Fig : 19c indicates how the +2 condition grows with and from the previous zero inert gas condition. The +2 condition build on top of the +1 state of motion. The +3 conditions builds on top the +2, and finally the +4 builds on top of the +3 condition.

As compression progresses as indicated in fig : 19c, each growing stage is completed the new stage takes all of the old or previous stage inside itself. Growth implies that the density increases which is more of an inward growth (compressive) than an outward growth. Growth produces SPHERES, dense spheres. The follow development should provide more clarity on this point.

The following images are the stages of compression for the maximum expanded state of motion in fig : 20 to the condition of maximum compression in fig : 20d.

As each stage unfolds, the previous stage is incorporated into the new growth phase. Instead of this new growth being long and gangly it becomes squat and dense. the extent of in/out projection is the actual length of the N/S pole of the central sphere. this is why WR teaches that the atomic absorption spectra for a particular element contains lines which belong to an earlier growth cycle of that elements. The multiple red lines in the hydrogen spectra is often quoted as evidence of previous life cycles of hydrogen.

(fig : 20)

Zero inert gas condition

Projected pattern

Red one side

Blue the other

(fig : 20a)

+1 Condition

Projected pattern

Red one side

Blue the other

(fig : 20b)

+2 Condition

Projected pattern

Red one side

Blue the other

(fig : 20c)

+3 Condition

Projected pattern

Red one side

Blue the other

(fig : 20d)

+4 Condition

Projected pattern

Red one side

Blue the other

Fig : 20d implies all the divided E/W hubs/centers of gravity of fig : 20 are united ABOUT one location, the (0,0,0) center of the wave field. Matter reaches maturity when the separate gravitational centers of the E/W poles unite, about a common axis at the center of its own wave field. Growth of the N/S poles (hence 3D expression) is born from the compression of the E/W poles.

The individual (E/W) degree of rotation has now been focused to rotate about one single unified (0,0,0) center of gravity.

The radiative half of the cycle will thus be expressed from fig 20d back to fig : 20, as the common focal center divides creating the unwinding vibrational patterns shown. When the radiative cycle begins, the tight grip holding 20d in place is relaxed. The natural balanced rotational motion is now free to expresses itself with more centrifugal motion, and does so by vibrating apart as shown in 20c.

The transition from 20 - 20d could also be described as a series of nested spheres.

The 2D seed condition as described by WR (right) but when unfolded into its 3D condition, it looks more like the (left) side.

(fig : 21)

(fig : 21a)

(fig : 21b)

(fig : 21c)

The sliding geometry from fig : 20 to 20a is now replicated with figs 21/21a where by fig : 20a is superimposed over fig : 20.

The +1 condition accumulates within itself the zero inert condition. This is how compression manifests to create the generative half of the cycle. WR is using an optical lens approach to describe the same geometric principles.

Fig : 21b indicates how the expanded 'black' area is compressed from all outside direction inwards towards a common focal point at (0,0,0).

The once 'black' area becomes the compressed red area. Think of the red are as having taken the black area inside itself, thus raising it potential.

Consideration #9

Lensing

Fig : 20a indicates that the once 4 independent lenses are now overlapping to a much greater extent and as such, are capable of producing a much clearer image within their side of the wave field. The image thus loses its black nebulous character and gains colour and focus.

When the 4 E/W lenses all align on the (0,0,0) hub the lenses will act as one

and allow full transparency, transmittance, and colour to shine through...

The wave field will achieve an incandescent glow.

(fig : 21d)

(fig : 21e)

(fig : 21f)

Fig : 21d shows the +2 condition overlayed (in blue) over the 0/+1 state of motion (black & red). A well known geometric patterns become obvious. As the overlapping of the 4 lenses continues and the amount of light thus passing through those lenses are sharper, clearer, more colourful, and more focused (heat). The area now surrounding this +2 pattern will not allow light to pass. The +2 pattern will thus be framed in black.

(fig : 23)

This is the vibrational pattern for a +2 state of motion. Creating this pattern with the appropriate dimensions will thus manifest +2 matter.

The overlapping lenses will allow projection of a clearer and more refined image.

When the pattern indicated in fig : p13d is expanded the following pattern of interwoven light threads is revealed.

(fig : 24)

(fig : 24a)

(fig : 24b)

The 90° opposed light threads also establish another parallel symmetry. It is this parallel symmetry that gives rise to the two extreme forms of carbon namely, crystal clear diamond and black opaque graphite. As indicated in fig : 23a when layers of carbon are sympathetically aligned then all light will pass through the layers and the result will be white diamond.

When the layers of carbon lie out of phase (red over blue) one on top of the other then the negatives will each cancel the other and prevent any light transmittance. The result will be black graphite.

During the discussion on structure of the Cubic-Wave field it became evident that the 8 sub-sections of the wave field distribute light to a varying degree. Section 1 was entirely red while section 8 was entirely blue. If these sections are assigned to N/S pole control then the other 6 may be assigned to E/W pole control.

(fig : 24)

By rotating the cube on its N/S poles a hyperboloid geometry is uncovered. This geometry is very evident on the Earth as the tropic latitudes, and on the sun as the area of maximum sunspot activity.