The Sapphire 'Twins'

The sapphire cube that was seen by Moshe and his companions in Mishpatim is later divided into two separate tablets and brought down as the shnei luchot (the two tablets of the covenant). The ten commandments were etched on/in these luchot. 

As stated in the previous construct, the cube measured 6 x 6 x 6 handbreadths. However, after it was divided, each half of the cube (each tablet) measured 6 x 6 x 3 handbreadths, so each tablet was simply half of the original cube. 

A tablet measuring 6 x 6 x 3 (handbreadths) has a volumetric measure of 108 cubic handbreadths (6 x 6 x 3 = 108) which is half the volume of the original 'cube' before division (108 + 108 = 216).

In sefer hekhalot, the cube is divided for Rabbi Ishmael as it was when it was given to Moshe, but in this case it is described as 72 wings, alluding more specifically to the 72 triplets in the Triad Havaya of 72. In this context, each wing is a triplet consisting of 3 letters. According to the sefer, half of the wings (36) were to the right of Rabbi Ishmael and half (36) were to his left. When the tablets were divided, 36 x 3 (108 cubic handbreadths) were to the right and 36 x 3 (108 cubic handbreadths) were to the left. As 'cubic handbreadths' they mirror the geometry of the luchot. As 'wings,' they mirror the geometry of the triplets in the Triad Name. The mem-tet angel (metatron) is referred to as the "master of wings" (zohar 1:4) owing to his proximity to (or knowing of) HaShem (the Name).

As mentioned in the previous construct, the letters of this Name are given to us (in the torah) as a one-dimensional string of 216 contiguous letters, and that when the letters are permuted (as is known) the permutation results in 72 triplets (72 x 3 = 216) where the letters of the Name can be perceived two-dimensionally. 

In the geometry of the luchot, these letters can be perceived three-dimensionally (as they were by Rabbi Ishmael). Side-by-side, the luchot have the ratio of a brick-shaped matrix of 6 x 12 (72) x 3. The product of the first two dimensions (6 x 12) is 72 square handbreadths. When multiplied by the product of the third dimension (3 handbreadths) the result is of course 216 cubic handbreadths. The ratio of one to the other (3 x 72) corresponds directly to the 'triad nature' of the Name with a total of 216 letters. The Name may also be perceived in increasingly higher dimensions: four, five, and even ten, but an explanation is beyond the scope of this post.

It is important to note that the luchot are "twins" in terms of their mathematic and geometric characteristics. That is, they are identical in terms of size, ratio, number of elements, substance, clarity and so forth. They each have 108 elements, as each is 'half' of the cube with 216 elements. The gematria of the Hebrew word for "half" is 108 (Hebrew being lashon hakodesh or "holy language" that more accurately reflects the mathematic system defined by the luchot/tablets). All of this, along with the implications, should be carefully contemplated.

A representation of each cubic handbreadth of the twins is pictured below to give you an idea of their geometry and measure. The 36 "wings" (triplets) of each half appear in the third dimension. For now, just keep in mind that there are two luchot; they are "twins;" and each one can be mathematically described in terms of 108 elements or cubic handbreadths. The next construct is: The Sapphire Magen David