members of this group are all cubes. They occur on the right hand swing
of the pendulum. Their characteristic valence is three but they often show
higher valencies. They all have six funnels, as in Cube Group A, but they
show quite a different design in the arrangement of the Anu.
As the head of the group this element is, as usual, simple. There is no central
globe. Fig. 98.
six funnels each contain eight similar ovoids, Al.9, of three spheres of
three Anu. Below these is an ovoid Al.9', again of three spheres, these
being two duads and a pentad.
Aluminium = 6 (Al.9' + 8 Al.9)
6 funnels of 81 Anu = 486 Anu
Total = 486 Anu
Number weight 486 / 18 = 27.00tk
ATOMIC No. 15
Like Aluminium, Phosphorus has no central globe. Fig. 98.
Funnels. Each of the six funnels contains two segments.
A contains at the bottom a group 135, then three N6, and then three spheres,
P9, of nine Anu, making 50 Anu in all. Segment B also contains seven spheres,
first a tetrad Li4, with its Anu at the corners of a tetrahedron, then
three spheres of four Anu, Be4, and then the three spheres, P9, of nine
Anu found in segment A. Segment B contains 43 Anu.
is no central globe in this element. Fig. 99.
has six similar funnels, each with two segments.
A. There is first a cone of 7 Anu, then three rather curiously formed groups
of fifteen Anu, containing a P9 group and an N6. The three upper spheres,
Ga20, in segment A are made up of two Be4 and two H3 in the form of a cross
with an Ad6 in the centre.
The total number of Anu in segment A is 112 Anu.
B is somewhat similar to segment A. It contains first a B5 instead of the
cone, then three groups Ga13, made up of P9 and Be4, and then a row of
three spheres Ga18, each with four H3 in the form of a cross with N6 in
the centre. Segment B contains 98 Anu.
six funnels are alike, and there are not two separate segments. Arsenic
resembles Aluminium in having eight internal sub-divisions in the funnels.
and the ovoids which form the top ring are identical with those in Aluminium
save for the minute difference that in Aluminium the ovoids stand the reverse
way from those in Arsenic. In Arsenic the top and bottom triplets in the
top ovoids point downwards and the middle one upwards, in Aluminium the
opposite is true. Arsenic inserts sixteen spheres, in two rows of eight,
between the ovoids and the bottom globe Al.9', which is similar to that
in Aluminium. Each of these 16 spheres contain nine Anu, N9, so that Arsenic
adds no less than 144 Anu to each funnel of Aluminium. The total in one
Arsenic funnel is 225 Anu.
Arsenic = 6 [Al.9' + 8 (2N9 + Al.9)]
6 funnels of 225 Anu = 1350 Anu
Total = 1350 Anu
Number weight 1350 / 18 = 75.00tk
FIG. 100. INDIUM, ANTIMONY
ATOMIC No. 49
element also has no central globe. Fig. 100.
of the six funnels has three segments instead of two, and the segments
are of two types. Three funnels contain two segments of type A and one
of type B; the other three funnels contain two segments of type B and
one of type A. Segment A is similar to segment A of Gallium, save in the
substitution of a body of 16 Anu for the cone of 7 Anu, making a total
of 121 Anu. Segment B is similar to the B segment of Gallium save that
a body of 14 Anu. In14, is substituted for the B5 group, making a total
of 107 Anu.
A funnels contain 2A + B. Type B funnels contain A + 2B.
This element is very similar to Indium. There is no central globe. Fig. 100.
in Indium there are two types of funnels and each funnel contains three
segments, of types A and B.
A consists of seven bodies. Nearest the centre we find a group containing
two quintets and a septet I.7. This group may be identified as Sb17. Then
comes a ring of three spheres containing 17 Anu, Sb17. In this sphere we
find that the unit in the centre of the P9 group has been replaced by a
triplet. Finally there is another ring of three globes each containing
two triplets, two quartets and an Ad6. This is Ga20. This whole segment
is Sb128. Segment B also contains seven bodies, first a group of three
small spheres which is identical with In14, then a ring of three Sb15,
and finally three Ga18, the whole making Sb113.
in Antimony we find three funnels of Type A containing 2A + B segments
and three funnels of Type B containing A + 2B.
Central globe. In this case there is a central globe. Fig. 103.
globe is made up of five interpenetrating tetrahedrons, each with an Ad6
at its apices. This group occurs first in Neon and is identified as Ne120.
has two types of funnels, each of which contains four segments. Figs. 101,
three of the funnels we find that segments A, Sb128, and B, Sb113, are
identical with those of Antimony. Segment C contains one Ca45 and two N24
spheres making up 93 Anu, Gd93. In this first set of funnels there are
2A + B + C segments.
the other set of three funnels we find one A segment, 213, and a D segment
Ca45, 2N24 and an additional group Mo11, making up Gd104. Thus these
globe. The central globe is formed of the five interpenetrating tetrahedrons
as in Gadolinium, Ne120. Fig. 104.
six funnels each contain four segments and these are of three types. Segment
A is Sb128, Segment B is Sb113, Segment C is Gd93 with the addition of
two Mo11 groups, making Ds115. Figs. 105, 106.
funnels are composed of 2A + B + C and the other three of A + 2B + C.
globe. There is here a central globe very similar to that in Cerium. It
consists of a central group, Ce27, surrounded by 20 ovoids of 33 Anu, making
687 Anu in all. Fig. 109.
again we find two types of funnels. Each funnel contains four segments
made up of types A, B and C. Segment A is Sb128, segment B is Sb113, and
Segment C contains Ca45, plus a sphere containing four Mo11, Ti.44, and
then two N24, making Ti.137. Figs. 107, 108.
Three funnels consist of 2A + B + C and three of A + 2B + C.
FIG. 112. DISINTEGRATION OF ALUMINIUMD and PHOSPHORUS
DISINTEGRATION OF CUBE GROUP B
DISINTEGRATION OF ALUMINIUM
funnels separate and the contents are liberated. The eight ovoids remain
together in a sphere, so two bodies from each funnel are set free on the
E4 level. Fig. 112.
the E3 level the eight ovoids are set free and become spherical, forming
bodies containing 9 Anu as shown in Fig. 112.
the E2 level each of these breaks up into three triads.
globe from the funnel becomes a cross at the E3 stage, with one Anu from
the duads in each arm in addition to its own. On the E2 level these form
four duads and a unit.
DISINTEGRATION OF PHOSPHORUS
On the E4 level segment A sets free three P9 groups, three sestets, N6, and
a quintet, B5. The P9 groups form a cube with one Anu at each corner and
one in the centre attached to all the others. Fig. 112.
segment B, on the E4 level, liberates three P9, three quartets, Be4, and
one quartet, Li4.
the E3 level the P9 groups each form two bodies. Five of the nine Anu hold
together and place themselves on the angles of a square-based pyramid;
the remaining four set themselves on the angles of a tetrahedron. The other
groups form three sextets, and a quintet and three ring quartets and a
pyramid as shown.
the E2 level each P9 yields 4 duads and a unit, while the other
groups form triads and duads as shown.
FIG. 113. Disintegration of Gallium and Arsenic
DISINTEGRATION OF GALLIUM
Gallium the funnels are liberated and then set free their two containing
segments, each of which forms a cylinder. Thus each funnel yields two bodies
at the first stage of the E4 level. This is not shown in Fig. 113. At the
second stage the segments liberate their contents, each giving seven groups.
A. On the E4 level this gives the three Ga20, three Ga15 and the small
group of 7 Anu, Ga7.
the E3 level each Ga20 forms a sextet and two septets, the quartet and
triad uniting. Each Ga15 forms a sextet and a cross with nine Anu having
a duad in each arm and one Anu in the centre. The Ga7 forms a ring of six
Anu with one in the centre.
On the E2 level these all break up into triads, duads and units.
Segment B. On the E4 level we find three Ga18, three Ga13 and a B5. On the
E3 level each Ga18 gives three sextets, each Ga13 gives the cross of nine
Anu as before and a ring quartet, and the B5 gives a quintet.
On the E2 level these act as usual, giving triads, duads and units.
DISINTEGRATION OF ARSENIC
resembles Aluminium in having eight ovoids in its funnel. These are set
free as spheres on the E4 level, as is the globe of nine Anu, Al.9'. Thus
we have nine spheres on this E4 level. Fig. 113.
the E3 level the three groups of nine Anu from the ovoids are liberated
and form groups having the same design as those in Aluminium. The
globe Al.9' gives a cross of nine Anu. On the E2 level triads, duads and
units are formed at shown in Fig. 113.
FIG. 114. Disintegration of Indium
DISINTEGRATION OF INDIUM
After the funnels of Indium separate they set free their segments and these in
turn liberate their contents. Each segment gives seven bodies.
Each funnel contains three segments, these being of two types. A and B. Fig. 114.
On the E4 level type A gives three Ga20, three Ga15 and an In16.
the E3 level each Ga20 gives a sextet and two septets as before. The Ga15
also acts as in Gallium giving a sextet and a cross of nine Anu. The In16
gives a sextet and two quintets formed of a ring of four Anu with one in
the centre (a squarebased pyramid).
On the E2 level these form triads, duads and units.
On the E4 level we have three Ga18, three Ga13 and an In14.
the E3 level each Ga18 gives three sextets and the Ga13 gives the cross
of nine Anu and a ring quartet as in Gallium. The In14 gives a tetrahedron
quartet and two quintets (square-based pyramids).
On the E2 level they give triads, duads and units as before.
FIG. 115. THE CUBE GROUP B
DISINTEGRATION OF ANTIMONY
element follows Gallium and Indium in its disintegration. There are three
segments in each funnel and these segments are of two types. Each liberates
seven bodies on the E4 level. Fig. 115.
On the E4 level we find three Ga20, three Sb17 and one Sb17'. On the
E3 level each Ga20 gives a sextet and two septets. The Sb17 is like the
Ga15 except that a triplet is substituted for the unit in the centre of
the P9 group. This apparently throws the cross out of gear for we have
a new figure of eleven Anu containing two quartets and a triplet. In addition
to the body of eleven Anu each Sb17 liberates a sextet on the E3 level.
The Sb17' gives a septet and two quintets of the square-based pyramid type.
On the E2 level we find quartets, triplets, duads and units.
On the E4 level we find three Ga18, three Sb15 and one In14.
the E3 level each Ga18 gives three sextets, the Sb15 is similar to Ga13
except for the substitution of a triplet for the unit in the centre. Each
Sb15 gives the group of eleven Anu as in the A type segment and a ring
of four Anu. The In14 gives a tetrahedron and two quintets of the square-based
the E2 level we find quartets, triplets, duads and units.
Fig. 116 shows the Cube Group B in a condensed form, from which the relationships
in the group can be studied.
FIG. 116. Cube Group B
[ERRATA Fig. 116. The Indium funnel B should contain two In 14
and one In 16.]