(55) Timaeus: when joined together, formed eight solid angles, each composed of three plane right angles; and the shape of the body thus constructed was cubic, having six plane equilateral quadrangular bases. And seeing that there still remained one other compound figure, the fifth, God used it up for the Universe in his decoration thereof. Now in reasoning about all these things, a man might question whether he ought to affirm the existence of an infinite diversity of Universes or a limited number; and if he questioned aright he would conclude that the doctrine of an infinite diversity is that of a man unversed

(9) Of Figure 15, the symbol of salt, von Welling writes, in substance: The cube has six sides, corresponding to the six days of creation, with the point of rest (the seventh day) in the center of the cube. On each surface of the cube appear the signs of the four elements [triangles]. The alchemists declared that salt was the first created substance produced by the fire (Schamayim) which flowed out of God. In salt all creation is concentrated; in salt are the beginning and end of all things. The cube, furthermore, is composed of twelve bodies, each of which has six sides. These bodies are the twelve fundamental pillars of the true invisible church, and when these twelve bodies are multiplied by their six sides the magical number 72 results. The wise have said that nothing is perfect until it has been dissolved, separated, and again united so that it becomes a body composed of twelve bodies, like the cube. The cube also consists of six pyramids with the six surfaces of the cube as their bases. The points of these six pyramids meet at the center of the cube. These six pyramids, each consisting of four triangles, signify the elements, and produce the magical number 24, which refers to the Elders before the Throne. The six surfaces and the point constitute the magical number 7. If 7 be multiplied by 7 again, and so on 7 times, the answer will reveal the method used by the ancients for measuring the periods of eternity; thus: (1) 7 X 7 = 49; (2) 49 X 7 = 343; (3) 343 X 7 = 2,401; (4) 2,401 X 7 = 16,807; (5):16,807 X 7 = 117,649; (6) 117,649 X 7 = 823,543; (7) 823,543 X 7 = 5,764,801. (This is not to be taken as earth years or times.) The 5,000, 000 represents the great hall year; the 700,000 the great Sabbath year, wherein all human beings gradually gain true understanding and become heirs to their original and eternal inheritance, which was lost when they were enmeshed in the lower elements. The 64,800 is the number of the fallen angels, and the last one year signifies the liberation of Lucifer and return to his original estate.

(39) Timaeus: that the “wanderings“ of these bodies, which are hard to calculate and of wondrous complexity, constitute Time. Nevertheless, it is still quite possible to perceive that the complete number of Time fulfils the Complete Year when all the eight circuits, with their relative speeds, finish together and come to a head, when measured by the revolution of the Same and Similarly-moving. In this wise and for these reasons were generated all those stars which turn themselves about as they travel through Heaven, to the end that this Universe might be as similar as possible to the perfect and intelligible Living Creature in respect of its imitation of the Eternal

(132) The ogdoad--8--was sacred because it was the number of the first cube, which form had eight corners, and was the only evenly-even number under 10 (1-2-4-8-4-2-1). Thus, the 8 is divided into two 4's, each 4 is divided into two 2's, and each 2 is divided into two 1's, thereby reestablishing the monad. Among the keywords of the ogdoad are love, counsel, prudence, law, and convenience. Among the divinities partaking of its nature were Panarmonia, Rhea, Cibele, Cadmæa, Dindymene, Orcia, Neptune, Themis, and Euterpe (a Muse).

(4) From two letters, or forms He composed two dwellings; from three, six; from four, twenty-four; from five, one hundred and twenty; from six, seven hundred and twenty; from seven, five thousand and forty; and from thence their numbers increase in a manner beyond counting; and are incomprehensible. These seven are Planets of the Universe, the Sun, Venus, Mercury, Moon, Saturn, Jupiter, and Mars; the seven days are the days of creation; and these an the seven gateways of a man, two eyes, two ears, two nostrils and a mouth, through which he perceives by his senses.

(35) Timaeus: the sixth eight times as much as the first; and the seventh twenty-seven times as much as the first.

(45) "Then, being naked of all the accumulations of the seven Rings, the soul comes to the Eighth Sphere, namely, the ring of the fixed stars. Here, freed of all illusion, it dwells in the Light and sings praises to the Father in a voice which only the pure of spirit may understand. Behold, O Hermes, there is a great mystery in the Eighth Sphere, for the Milky Way is the seed-ground of souls, and from it they drop into the Rings, and to the Milky Way they return again from the wheels of Saturn. But some cannot climb the seven-runged ladder of the Rings. So they wander in darkness below and are swept into eternity with the illusion of sense and earthiness.

(60) By connecting the ten dots of the tetractys, nine triangles are formed. Six of these are involved in the forming of the cube. The same triangles, when lines are properly drawn between them, also reveal the six-pointed star with a dot in the center. Only seven dots are used in forming the cube and the star. Qabbalistically, the three unused corner dots represent the threefold, invisible causal nature of the universe, while the seven dots involved in the cube and the star are the Elohim--the Spirits of the seven creative periods. The Sabbath, or seventh day, is the central dot.

(38) 'Now, the Greeks believed the world [material universe] to be composed of four elements--earth, air, fire, water--and to the Greek mind the conclusion was inevitable that the shapes of the particles of the elements were those of the regular solids. Earth-particles were cubical, the cube being the regular solid possessed of greatest stability; fire-particles were tetrahedral, the tetrahedron being the simplest and, hence, lightest solid. Water-particles were icosahedral for exactly the reverse reason, whilst air-particles, as intermediate between the two latter, were octahedral. The dodecahedron was, to these ancient mathematicians, the most mysterious of the solids; it was by far the most difficult to construct, the accurate drawing of the regular pentagon necessitating a rather elaborate application of Pythagoras' great theorem. Hence the conclusion, as Plato put it, that 'this (the regular dodecahedron) the Deity employed in tracing the plan of the Universe.' (H. Stanley Redgrove, in Bygone Beliefs.)

(24) Pythagoras conceived the universe to be an immense monochord, with its single string connected at its upper end to absolute spirit and at its lower end to absolute matter--in other words, a cord stretched between heaven and earth. Counting inward from the circumference of the heavens, Pythagoras, according to some authorities, divided the universe into nine parts; according to others, into twelve parts. The twelvefold system was as follows: The first division was called the empyrean, or the sphere of the fixed stars, and was the dwelling place of the immortals. The second to twelfth divisions were (in order) the spheres of Saturn, Jupiter, Mars, the sun, Venus, Mercury, and the moon, and fire, air, water, and earth. This arrangement of the seven planets (the sun and moon being regarded as planets in the old astronomy) is identical with the candlestick symbolism of the Jews--the sun in the center as the main stem with three planets on either side of it.

(64) 6. The seven double letters having been designed, established, purified, weighed, and exchanged by God, He formed of them seven planets in the universe, seven days in the Year, and seven gateways of the senses in man (male and female). From these seven He also produced seven heavens, seven earths, and seven Sabbaths. Therefore He loved seven more than any other number beneath His throne.

(28) To the five symmetrical solids of the ancients is added the sphere (1), the most perfect of all created forms. The five Pythagorean solids are: the tetrahedron (2) with four equilateral triangles as faces; the cube (3) with six squares as faces; the octahedron (4) with eight equilateral triangles as faces; the icosahedron (5) with twenty equilateral triangles as faces; and the dodecahedron (6) with twelve regular pentagons as faces.

(617) coloured by the reflected light of the seventh; the second and fifth [Saturn and Mercury] are in colour like one another, and yellower than the preceding; the third [Venus] has the whitest light; the fourth [Mars] is reddish; the sixth [Jupiter] is in whiteness second. Now the whole spindle has the same motion; but, as the whole revolves in one direction, the seven inner circles move slowly in the other, and of these the swiftest is the eighth; next in swiftness are the seventh, sixth, and fifth, which move together; third in swiftness appeared to move according to the law of this reversed motion the fourth; the third appeared fourth and the second fifth. The spindle turns on the knees of Necessity; and on the upper surface of each circle is a siren, who goes round with them, hymning a single tone or note. The eight together form one harmony; and round about, at equal intervals, there is another band, three in number, each sitting upon her throne: these are the Fates, daughters of Necessity, who are clothed in white robes and have chaplets upon their heads, Lachesis and Clotho and Atropos, who accompany with their voices the harmony of the sirens—Lachesis singing of the past, Clotho of the present, Atropos of the future; Clotho from time to time assisting with a touch of her right hand the revolution of the outer circle of the whorl or spindle, and Atropos with her left hand touching and guiding the inner ones, and Lachesis laying

(130) The 3 (spirit, mind, and soul) descend into the 4 (the world), the sum being the 7, or the mystic nature of man, consisting of a threefold spiritual body and a fourfold material form. These are symbolized by the cube, which has six surfaces and a mysterious seventh point within. The six surfaces are the directions: north, east, south, west, up, and down; or, front, back, right, left, above, and below; or again, earth, fire, air, water, spirit, and matter. In the midst of these stands the 1, which is the upright figure of man, from whose center in the cube radiate six pyramids. From this comes the great occult axiom: "The center is the father of the directions, the dimensions, and the distances."

(55) According to Pythagoras, the position of each body in the universe was determined by the essential dignity of that body. The popular concept of his day was that the earth occupied the center of the solar system; that the planets, including the sun and moon, moved about the earth; and that the earth itself was flat and square. Contrary to this concept, and regardless of criticism, Pythagoras declared that fire was the most important of all the elements; that the center was the most important part of every body; and that, just as Vesta's fire was in the midst of every home, so in the midst of the universe was a flaming sphere of celestial radiance. This central globe he called the Tower of Jupiter, the Globe of Unity, the Grand Monad, and the Altar of Vesta. As the sacred number 10 symbolized the sum of all parts and the completeness of all things, it was only natural for Pythagoras to divide the universe into ten spheres, symbolized by ten concentric circles. These circles began at the center with the globe of Divine Fire; then came the seven planers, the earth, and another mysterious planet, called Antichthon, which was never visible.

(55) Timaeus: And the third solid is composed of twice sixty of the elemental triangles conjoined, and of twelve solid angles, each contained by five plane equilateral triangles, and it has, by its production, twenty equilateral triangular bases. Now the first of the elemental triangles ceased acting when it had generated these three solids, the substance of the fourth Kind being generated by the isosceles triangle. Four of these combined, with their right angles drawn together to the center, produced one equilateral quadrangle; and six such quadrangles,

(39) Timaeus: In this wise and for these reasons were generated Night and Day, which are the revolution of the one and most intelligent circuit; and Month, every time that the Moon having completed her own orbit overtakes the Sun; and Year, as often as the Sun has completed his own orbit. Of the other stars the revolutions have not been discovered by men (save for a few out of the many); wherefore they have no names for them, nor do they compute and compare their relative measurements, so that they are not aware, as a rule,

(36) Timaeus: to the Revolution of the Same and of the Uniform. For this alone He suffered to remain uncloven, whereas He split the inner Revolution in six places into seven unequal circles, according to each of the intervals of the double and triple intervals, three double and three triple . These two circles then He appointed to go in contrary directions; and of the seven circles into which He split the inner circle, He appointed three to revolve at an equal speed, the other four to go at speeds equal neither with each other nor with the speed of the aforesaid three, yet moving at speeds the ratios of which one to another are those of natural integers. And when the construction of the Soul had all been completed to the satisfaction of its Constructor, then He fabricated within it all the Corporeal,

(82) For they belong to the reckoning of the year and are truly recorded (thereon) for ever, one in the first portal and one in the third, and one in the fourth and one in the sixth, and the year is completed in three hundred and sixty-four days.

(126) The Pythagoreans held the hexad--6--to represent, as Clement of Alexandria conceived, the creation of the world according to both the prophets and the ancient Mysteries. It was called by the Pythagoreans the perfection of all the parts. This number was particularly sacred to Orpheus, and also to the Fate, Lachesis, and the Muse, Thalia. It was called the form of forms, the articulation of the universe, and the maker of the soul.