Ovid's and Shakespeare's names in Tetractys and Double Rhombus

Alphabets; gematric calculator

Ovid's and Shakespeare's epitaphs

I. Introduction

II. The Tetractys

III. The Double Rhombus

IV. SW: 18 and 21 elements

V. Including MARIA IESUS CHRISTUS

I. Introduction

1. We may assume that Shakespeare had developed a long familiarity with Ovid before he eventually elaborated his epitaph in gematric concinnity with Ovid's. He certainly appreciated Horace, Vergil and other Roman poets no less, but his affection just inclined a bit more towards Ovid. He chose him deliberately and representatively to build a cultural bridge between Antiquity and Christianity.

2. Shakespeare may have felt a desire to promote his poetic task and define his identity by comparing himself to a great poet of the past. Perhaps he thought that divine providence predestined him to continue Ovid's spirit in his own poetic work and to identify with him.

3. One striking parallel of their two names is the number of 18 letters (while PUBLIUS VERGILIUS MARO consists of 20 and QUINTUS HORATIUS FLACCUS of 22 letters). Shakespeare knew the geometrical models for occupying 18 positions and may have tried them out. He could not manipulate any intended results, as Ovid's names were fixed and Shakespeare had decided on a definite orthography at some point of his life.

If Shakespeare found meaningful results in combining his and Ovid's names, he may have accounted for it as lucky coincidence or, perhaps, divine providence – we do not know.

4. The two geometrical models for 18 positions are the three sides of the tetractys and the double rhombus.

5. The numerical sums (NS) and factoral sums (FS) of Ovid's and Shakepeare's names are:

	NS	FS	sm
PUBLIUS	95	53	148
OVIDIUS	94	51	145
NASO	46	31	77
sm	235	135	370
WILLIAM	74	52	126
SHAKESPEARE	103	71	174
sm	177	123	300
total	412	258	670
370:300 = 10*(37:30)
258 = 6*43

The (countable) digits point to 3+7 points of the tetractys and 3 remaining points of the hexagram:

The factor 43 of the FS 258 can be understood as 4 points + 3 lines of one tetractys side. As the hexagram contains 2 tetractyses, the 7 elements of one tetractys side has to be multiplied by 6.

II. The Tetractys

1. The frame of the tetractys consists of 9 points and 9 lines:

The points can be subdivided into 6 hexagonal points and 3 corner points:

	Ovid	NS	FS	sm	Shakesp.	NS	FS	sm	sm	sm	total
6 p	BIVDNS	66	42	108	LIHKER	60	52	112	126	94	220
3 p	PSU	53	25	78	WMS	51	25	76	104	50	154
sm		119	67	186		111	77	188	230	144	374
220:154 = 22(10:7) = 2217 = 1134; 188 = 447

The single sums on both sides are very similar. The numerical sums (NS) + factoral sums (FS) of the 6p and 3p letters of both sides are divisible by 22. The two ratio numbers are relatable to 10 points of the tetractys and 7 of the hexagon.

The NS+FS 112 and 76 are remarkable in that they are identical with the NS and FS of CHRISTUS.

2. The values of the 9 lines are:

	Ovid	NS	FS	sm	Shakesp.	NS	FS	sm	sm	sm	total
9 li	ULUOIISAO	116	68	184	ILASAEPAE	66	46	112	182	100	296
184:112 = 8(23:14) = 837

The single digits of the factors 34 and 37 can be associated with 3*4 points and 3*7 elements of the 3 tetractys sides. The NS+FS 186 and 184 of Ovid's points and lines are constituents of their sum, the number 370.

The NS of the 6 points and 9 lines are 126 and 182, which are the NS+FS and 4value sum of WILLIAM. The additive result 308 = 11*28 is again divisible by 11.

112 is the FS of IESUS CHRISTUS (36+76).

III. The Double Rhombus

1. The double rhombus, too, shows a frame pattern. If one starts at the bottom, the points and lines can be counted and marked, either by numbers or letters, in an eight-like loop until the starting point is reached again. As two double rhombi, by folding the end triangles, can be composed to form an octahedron, an additional 18^th position can be marked:

The points can be subdivided into 6 vertical and 4 horizontal points:

	Ovid	NS	FS	sm	Shakesp.	NS	FS	sm	total
6 p	PIVVSO	96	49	145	WIHSRE	78	52	130	275
4 p	BSDN	37	27	64	LMKE	38	30	68	132
sm		133	76	209		116	82	198	407
209:198 = 11(19:18); 275:132 = 11(25:12) = 11*37

The neighbouring ratio numbers 19 and 18 are identical with the elements of the tetractys: 10 points + 9 triangles and 18 lines.

Astonishingly, the factor 11 is again contained in the subdivided points, but also in the NS+FS of either poet. And again the factors 34 and 37 can be referred to the elements of the tetractys sides, but also to the double rhombus, which consists of 21 elements, 4*3 "roof" elements (line, point, line) of the frame and 3*3 mid elements: 3 vertical points and twice the combination of 2 triangles and 1 cross line.

3. The values of the 8 lines are:

	Ovid	NS	FS	sm	Shakesp.	NS	FS	sm	SM	SM	total
8 li	ULUOIISA	102	59	161	ILASAEPA	61	41	102	163	100	263

The digits of 163 represent the 10 points of the tetractys, the prime number 263 refers to three octahedra consisting of 3*26 elements.

4. Another possibility of order may consist in the relation between the lower and the upper rhombus inasmuch the last letters return to the first so that the upper rhombus represents the centre and the lower the outer parts, comparable to two concentric circles. However, there is the exception of the last letter that belongs to the upper rhombus:

	lower rh.	NS	FS	sm	upper rh.	NS	FS	sm
Ov.	PUBLISNAS	107	66	173	USOVIDIUO	128	69	197
Sh.	WILLIPEAR	99	75	174	AMSHAKESE	78	48	126
		206	141	347		206	117	323
48:78 = 6(8:13); 323 = 1719

The results are remarkable in at least four respects:

First, the NS+FS of the lower rhombus is identical with the NS+FS of SHAKESPEARE, the NS+FS of the upper rhombus with the NS+FS of WILLIAM.

Second, the ratio 6*(8:13) refers to 6 double rhombi that are needed for three coordinate systems to construct three octahedra. One double rhombus consists of 13 hexagonal and 8 extension elements.

Third, the NS of the lower und upper rhombus are equally 206.

Fourth, the NS+FS 173 and 174 concern a central principle of the decimal system: There are no more than 9 countable basic numbers. Any measure needs delimiting by two points. So 9 points delimit 8 measures. The point for the first of 10 measures is the uncountable 0. If the 10 measures are to be positioned on a straight line, 11 points are necessary, if they are arranged on a circle, the first and last points converge. The two models can be represented by 17+4 and 17+3 and as 3-digit numbers:

The sum 174+173 = 347 appears a second time in the FS 141 = 3*47. The number 347 is so important that it is the NS of the Christian Trinity PATER FILIUS SANCTUS SPIRITUS.

The NS+FS 323 = 17*19 shows two aspects of the decimal systems: 9+8, as explained above, and 9 diametrical and 5+5 radial elements of the hexagram, as one model of uneven and even numbers.

IV. SW: 18 and 21 elements

1. The NS+FS 670 of the names points to a double aspect of the tetractys side: If the 9 points and 9 lines of three sides are divided by three, there are 6 elements for one side. However, one side alone counts 7 elements. The letters for 3*7 and 3*6 elements are WS, the initials of WILLIAM SHAKESPEARE.

2. In consequence, the three corner points have to be counted once more and added to 670 so that a new result emerges:

	NS	FS	sm		NS	FS	sm	sm	sm	total
36 letters	412	258	670	6 letters	104	50	154	516	308	824
412 = 4103; 824 = 8103

103 is the NS of SHAKESPEARE. What has happened is a kind of exchange: 154 added to the FS 258 is equal to the NS 412, and the NS 104 added to 412 is double the FS 258.

Written: June 2014