# Marvel and DC Styled Magic Binding Rings

I am a big consumer of science fiction and fantasy, and like all big sci-fi/fantasy geeks, I am into Marvel and DC. Psionic characters were okay to me, but they didn’t interest me too much. Besides the Darkover series written by Marion Zimmer Bradley, psionic characters don’t really pull me in. I am a big fan of the sorcerers of DC like Zatanna and Constantine. When it comes to Marvel, I am a big fan of Doctor Strange. In fact, DC has an animated movie called Justice League Dark and Doctor Strange has his own movie and own presence in the Marvel Cinematic Universe. When you think of all the characters and movies I mentioned, one thing that they make use of are circles that are understood to be magical within the context of their fictional universe. In the case of Zatanna and Constantine, you see your familiar pentacle whereas Doctor Strange uses more complex, higher-dimensional magical circles. You can create those magical circles that function in a similar way by creating a moduli space:

In algebraic geometry classification problems, an algebraic variety (or other appropriate space in other parts of geometry) whose points correspond to the equivalence classes of the objects to be classified in some natural way. Moduli space can be thought of as the space of equivalence classes of complex structures on a fixed surface of genus g, where two complex structures are deemed “the same” if they are equivalent by conformal mapping.

This post is going to show you how to create a binding seal consisting of a formal magical ring by using the 86 times table. The purpose of this seal is to bind the magical power of whoever this is cast on. Technically, you’re creating a magical ring because all the interesting thing happens due to a mathematical structure called a ring. The circular shape is called your mod. In this article, I am going to be showing you how to make magical rings by arranging 200 elements in a circle – mod 200.

# Tables

This binding seal is derived from two tables. The first table is an association of a concept to a number. That first table is a collection of 200 concepts to be arranged in a circle. The second table is a system of relationships governed by a rule from the 86 times table. You multiply 86 by wherever you are in the sequence of 0-199 and then you perform the operation mod 200 to formulate the rules of the seal.

## Concept Table

A table of the mapping of concepts to numbered nodes
NumberConcept
0Bind
1Magic
2Power
3Bind
4Magic
5Power
6Bind
7Magic
8Power
9Bind
10Magic
11Power
12Bind
13Magic
14Power
15Bind
16Magic
17Power
18Bind
19Magic
20Power
21Bind
22Magic
23Power
24Bind
25Magic
26Power
27Bind
28Magic
29Power
30Bind
31Magic
32Power
33Bind
34Magic
35Power
36Bind
37Magic
38Power
39Bind
40Magic
41Power
42Bind
43Magic
44Power
45Bind
46Magic
47Power
48Bind
49Magic
50Power
51Bind
52Magic
53Power
54Bind
55Magic
56Power
57Bind
58Magic
59Power
60Bind
61Magic
62Power
63Bind
64Magic
65Power
66Bind
67Magic
68Power
69Bind
70Magic
71Power
72Bind
73Magic
74Power
75Bind
76Magic
77Power
78Bind
79Magic
80Power
81Bind
82Magic
83Power
84Bind
85Magic
86Power
87Bind
88Magic
89Power
90Bind
91Magic
92Power
93Bind
94Magic
95Power
96Bind
97Magic
98Power
99Bind
100Magic
101Power
102Bind
103Magic
104Power
105Bind
106Magic
107Power
108Bind
109Magic
110Power
111Bind
112Magic
113Power
114Bind
115Magic
116Power
117Bind
118Magic
119Power
120Bind
121Magic
122Power
123Bind
124Magic
125Power
126Bind
127Magic
128Power
129Bind
130Magic
131Power
132Bind
133Magic
134Power
135Bind
136Magic
137Power
138Bind
139Magic
140Power
141Bind
142Magic
143Power
144Bind
145Magic
146Power
147Bind
148Magic
149Power
150Bind
151Magic
152Power
153Bind
154Magic
155Power
156Bind
157Magic
158Power
159Bind
160Magic
161Power
162Bind
163Magic
164Power
165Bind
166Magic
167Power
168Bind
169Magic
170Power
171Bind
172Magic
173Power
174Bind
175Magic
176Power
177Bind
178Magic
179Power
180Bind
181Magic
182Power
183Bind
184Magic
185Power
186Bind
187Magic
188Power
189Bind
190Magic
191Power
192Bind
193Magic
194Power
195Bind
196Magic
197Power
198Bind
199Magic

## Rules Table

A table of the relationships of the concepts defined by a rule.
xy=f(x)=(86*x)mod200
00
186
2172
358
4144
530
6116
72
888
9174
1060
11146
1232
13118
144
1590
16176
1762
18148
1934
20120
216
2292
23178
2464
25150
2636
27122
288
2994
30180
3166
32152
3338
34124
3510
3696
37182
3868
39154
4040
41126
4212
4398
44184
4570
46156
4742
48128
4914
50100
51186
5272
53158
5444
55130
5616
57102
58188
5974
60160
6146
62132
6318
64104
65190
6676
67162
6848
69134
7020
71106
72192
7378
74164
7550
76136
7722
78108
79194
8080
81166
8252
83138
8424
85110
86196
8782
88168
8954
90140
9126
92112
93198
9484
95170
9656
97142
9828
99114
1000
10186
102172
10358
104144
10530
106116
1072
10888
109174
11060
111146
11232
113118
1144
11590
116176
11762
118148
11934
120120
1216
12292
123178
12464
125150
12636
127122
1288
12994
130180
13166
132152
13338
134124
13510
13696
137182
13868
139154
14040
141126
14212
14398
144184
14570
146156
14742
148128
14914
150100
151186
15272
153158
15444
155130
15616
157102
158188
15974
160160
16146
162132
16318
164104
165190
16676
167162
16848
169134
17020
171106
172192
17378
174164
17550
176136
17722
178108
179194
18080
181166
18252
183138
18424
185110
186196
18782
188168
18954
190140
19126
192112
193198
19484
195170
19656
197142
19828
199114

# Phase 1

The first step is to take the nodes from the Concept Table and arrange them in a circle starting from 0 counting clockwise in a circle up to 199.

# Phase 2

The next phase is to look at the Rules Table. The Rules Table is the table that defines the rules of how the concepts interact to form the magical rings within that circle you created in Phase 1. It uses the function f(x)=(86*x)mod200 where the input is the first column – x, and the output is the second column – y. What you are going to do is look at the Rules table and draw a line from the first column to the second column for each row. You have a pair of x and y that constitutes an edge. I’ve started you out by doing this for the first 10 edges. Looking at the Rules table, the first 10 pairs are: (0,0); (1,86); (2, 172); (3,58); (4,144); (5, 30); (6, 116); (7, 2); (8,88); (9, 174). Continue drawing lines between the x and y values for the rest of the table.

When you have done this for all the rows in the Rules Table, your seal should look like this:

# Phase 3

Look at the Concept table and substitute the numbers with the concepts:

# Finished Shape

If you did this correctly, the shape of your magic binding seal should look like the image below.

# How The Seal Works

What this does is that it takes the intention – in this case simple concepts, and defines a flow of psychic energy per the rules via the relations. Whenever this is intentionally applied to the target, magic power of the target is constrained by those rules. The paths of one concept to another concept represented by the pairs of x and y from the Rules Table can be interpreted as psychic energy. The reason that it can be interpreted as that is because there is a potential for displacement and change from one concept to another. The important word is interpreted. What you have are what are called eigenvalues and eigenvectors that I interpret to be psychic energy.

Eigenvalues are a special set of scalars associated with a linear system of equations (i.e., a matrix equation) that are sometimes also known as characteristic roots, characteristic values (Hoffman and Kunze 1971), proper values, or latent roots (Marcus and Minc 1988, p. 144).

The determination of the eigenvalues and eigenvectors of a system is extremely important in physics and engineering, where it is equivalent to matrix diagonalization and arises in such common applications as stability analysis, the physics of rotating bodies, and small oscillations of vibrating systems, to name only a few. Each eigenvalue is paired with a corresponding so-called eigenvector (or, in general, a corresponding right eigenvector and a corresponding left eigenvector; there is no analogous distinction between left and right for eigenvalues).

Psychic constructs (an intentional arrangement of conceptual elements – like this seal) have a spectral graph. Spectral graphs have matrices and those matrices have spectrums. Those spectrums are the eigenvalues of that matrix. So, when I say psychic energy, what I am really referring to are spectrums of the concepts of the matrix via eigenvalues and how they are paired to eigenvectors. It’s not really a substance; rather, it is more like an aspect. In this case, it would be an aspect of your intention. So, psychic energy is an interpretation of the eigenvalues for the matrix of concepts/intentions. You can think of it as representing the frequency of how a system of concepts is oscillating/vibrating. Psychic energy would be the graph energy of a graph of the concepts.

If you look at how the concepts are arranged, they are arranged in a circle first. That is not arbitrary because that impacts the spectrum of the concepts and thus how they vibrate. If you were to move from 0 to 199 along that circular outer ring, you would be moving clockwise in a circle until you swung back to 0. What you are doing is rotating. Each number on the circle represents a degree of rotation. This implies you have angular vectors. This also means that you have sine and cosine functions. These sine and cosine functions create a series of waves that can be collectively referred to as harmonics. In other words, you have a rotating field of waves of psychic energy that has vectors predicated on intentionality that exerts a force on the target of the seal. There are 200 phase shifted waves and the rule that defines the relationship of each pair of concepts is defined in one of those phased shifted waves. Collectively, this creates a holistic coherence and resonance. The wave of the circle at position 0 is sin(x) where the derivative is cos(x). At position 1, you have the wave shifted over, so you now have sin(x+1) with a derivative of cos(x+1). This sequence holds true all the way up to 199.

This creates a resonance which amplifies the effect of the seal. That resonance makes it hard to “break” or “remove” the seal.

The five petal-like structures of the seal are called cardioids. If you have two circles side by side and you roll one circle around the other, you draw a cardioid. Cardioids show up in the Mandelbrot set. Like the Mandelbrot set, this seal exhibits a fractal geometry that is holistic. Think of it as instead of the whole is the sum of its parts, the whole reflects its parts. A part is not just a part. It’s also a whole. That holistic property makes it exceptionally hard to disrupt the effect of the seal.

The adjacency matrix of the binding seal can be found here:
Magic Binding Seal Matrix