Five cubes can be
inscribed in a dodecahedron.
Ten tetrahedra can be inscribed in the dodecahedra, and the volume
common to all ten is an icosahedron.
***
A Fourth
Dimensional View of a
Tetrahedron
http://mathworld.wolfram.com/Pentatope.html
D.K. on Visualization and Imagination
The power to visualise correctly is one definite
mode of ascertaining truth or falsity. This is a statement difficult
for you to comprehend. Visualisation is literally the building of a
bridge between the emotional or astral plane and the mental level and
is, therefore, a personality correspondence to the building of the
antahkarana. The astral plane, the second aspect of the personality,
is the correspondence to the form-building aspect of the Trinity, the
second aspect. The creative imagination "pictures a form" through the
ability to visualise and the thought energy of the mind gives life and
direction to this form. It embodies purpose. Thereby a rapport or line
of energy is constructed between the mind and the astral vehicle and
it becomes a triple line of energy when the soul of the disciple is
utilising this creative process in some planned and definitely
constructive manner.
This visualising process and this use of the imagination form the
first two steps in the activity of thoughtform building. It is with
these self-created forms—embodying spiritual ideas and divine
purpose—that the Masters work and hierarchical purpose takes shape.
Therefore, my disciples, it is essential that you begin with
deliberation and slowly to work in this manner and to use the above
information constructively and creatively. The need of the times is
increasingly great and the utmost of work and of purpose is desired. -DNA
I, 91
Meditation is essentially the science of light, because it works in
the substance of light. One branch of it is concerned with the science
of visualisation because, as the light continues to bring revelation,
the power to visualise can grow with the aid of the illumined mind,
and the later work of training the disciple to create is then made
possible. It might be added here that the building of the second half
of the antahkarana (that which bridges the gap in consciousness
between the soul and the spiritual triad) is called the science of
vision, because [Page 97] just as the first half of the bridge is
built through the use of mental substance, so the second half is built
through the use of light substance. -ENA
Imagination is, as you know, the lowest aspect of the intuition, and
this fact must be remembered at all times. Sensitivity, as an
expression of the astral body, is the opposite pole to buddhic
sensitivity. The disciple has purified and refined his imaginative
faculties so that they are now responsive to the impression of the
buddhic principle or of the intuitive perception—perception, apart
from sight or any recorded possible vision. According to the
responsiveness of the astral vehicle to the [Page 489] buddhic
impression, so will be the accuracy of the "plans" laid for the
building of the antahkarana and the visualising of the bridge of light
in all its beauty and completeness. -TSR V
All disciples on all these seven rays use the same [antahkarana]
building technique of Intention, Visualisation, Projection, Invocation
and Evocation, Stabilisation and Resurrection. Of these the first two
are uniform in technique for all the rays, but when the stage of
Projection is reached, then the ray techniques begin to differ... -TSR
V, 501
