Five Years Worth of Sketches: Ritual Magic, Death Masks, and Helmets

This weekend I finally started digging into about 5 years worth of sketches and thumbnails doodled in the margins of my school notes. The majority of the sketches are for helmets, masks, and faces, but there are some symbols and ritual magic designs.

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Most of the helmets on the left are meant for Redcaps, which are elves that have warped their bodies into killing machines. Their helmets usually have a grinning skull motif, like death masks. On the right are robes, designs, and a mask for a necromancer. The almond-shaped mask design is one of the oldest masks I made.

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Most of the designs on the left are ritual hook designs, surrounded by symbols. I’m not sure what I’ll use them for yet. The other symbols scattered around the page are for necromancy. On the far bottom-right corner is a sketch of the god of death, Erroth.

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I’ve been experimenting with creating a language of symbols for magic based on Chinese or Japanese pictograms. The two blocks in the center and left are some automatic drawing examples. On the right is a design based around the mask of the god of death.

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More helmets on the left, and death masks on the right. The mace in the middle is a take on the Gae Bolga, the famous weapon of Cuchulain, the Irish hero.

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These are some assorted drawings of faces, including the skull-like face of a necromantic character and the alien-like neck and head of Absurdity, which is an embodiment of chaos.

The Nokizi: A Fictional Necromantic Manifesto, Part 1

I was playing through TES III: Morrowind recently, and I came across three books in a necromancer dungeon: Darkest Darkness, Arkay the Enemyand N’Gasta, Kvata, Kvakis. I remembered these from years ago, and was excited to see them again: these are necromantic books you can actually read in-game–they’re short, and they give you a bit of insight into the beliefs and ideologies of the black mages you’re going up against. My favorite was A Game at Dinner, which was a sort of epistolary novel from a spy to their dark lord.

I’m writing a new story about the necromancer Yute, who I spoke about in my last post about the psychopathic mind, and one of the main plot points of the story is his own manifesto, The Nokizi. The Nokizi is meant to be a book similar to Arkay the Enemy: something to be passed around and read by the initiated members of the necromancer community.

But ever since I first conceived Yute, I wanted his necromancy to be at odds with the popular ideas of the day–I imagined him as an unorthodox figure, a radical other necromancers would be wary of, like Malcolm X or Timothy Leary. As soon as I imagined him, he needed an establishment to rebel against.

The Nokizi is Yute’s critique on the current state of necromancy and the major figures whose work has influenced it. These figures include Amassad, Togorun, and Banasail, all three of whom have achieved a different kind of immortality and huge followings of acolytes. These three are sort of like Hindu gurus who promise their followers eternal life and enlightenment if they follow their teachings. Yute, meanwhile, is based off the Bodhidharma, the iconoclastic founder of Zen in China.

I imagined that Yute brought all of his new ideas before the gurus first, expecting to gain praise and recognition from the masters and cement his position as a new master. It would be a sort of “look at me, I found a new path that is undeniably better than all of yours, and now you must admit it.” Instead, he was laughed and jeered out of their temples and abodes and derided by all their students, one after another. Yute, not one to take humiliation well, devised his Nokizi as a critique of the establishment that rejected him, and a manifesto for his new method and philosophy.

The actual critique is a blend of mathematics, paradoxes, parables, German philosophy, and Rinzai Zen, with the goal of showing that 1) Amassad, Togorun, and Banasail are all going about immortality in the wrong way, 2) the current conception of time and the self are wrong, and 3) that immortality seekers should employ mathematics, not body-modification or other techniques, to achieve immortality.

At the very end of the Nokizi is an encrypted portion, along with the promise that anyone who solves the cipher will gain the secret to his new method. The idea is that, though the necromantic community rejected him before, he is willing to allow converts into his new method if they are clever enough. But it’s all a trick–the insanely complicated cipher encrypts only a bunch of gibberish and nursery rhymes, as a giant, spiteful fuck-you. “You had your chance to be my acolytes, and you laughed me down,” is Yute’s internal reasoning. “So I’ll show you what you’re missing, offer you my secrets, then laugh at you.”

Yute’s a twisted kind of character.

You can read the first part of the Nokizi here.

My New Grimoire

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I love this book. I picked it up from Poetic Earth’s booth at New York Comic-Con this year, and it’s got a hand-tooled leather cover. Last night, I made the first entry in it on the title page (see above).

The triangle-tesseract design is the same one that came to me in a dream several years ago, after a night of reading too much about fractals. If you place each letter of the word “OROBORO” at the right vertices, the name should repeat perfectly across the whole design, meaning you can read “OROBORO” forever in three dimensions.

Beneath that is the phrase “ONE THOUSAND EYES OPEN.” This is the same phrase I used for one of my artists books, which used origami and an eye design to create an interactive little book that read “ONE THOUSAND EYES OPEN” no matter how you folded it.

At the far bottom, I drew the symbols of the three gods in my canon: Erroth, Sol, and Ormun.

I’m planning on using this book as a reference document for my worldbuilding, especially magic systems. Right now, I’m thinking of including diagrams of the Sephiroth, Qliphoth, Eightfold Path, the Five Skandhas of Existence, Pascal’s Triangle, and the Sierpinski Gasket, along with notes from my notebooks. This way, I’ll have all my notes and inspirations in one convenient tome.

Worldbuilding: Spell Maps and a Pathfinder Puzzle

A group of New York friends have asked me to DM a short Pathfinder session for them, which means the last couple days have been spent rummaging through my notes from the last campaign I ran, which was about four years ago, back in Washington State, with about 7 people. It ended up being a fantastic experience, despite the fact that, over the course of that 8-month campaign, every character tried to kill themselves at least once out of a combination of despair and existential angst.

But this group doesn’t know that.

The Pathfinder session is going to take place in the fantasy world I’ve established in my stories, which means house-ruling a lot of the magic. It also means I end up spending hours on designing extremely complex puzzles for my players.

This particular puzzle stopped being a puzzle at about the 3-hour mark and became an Occult Triangle Lab project. It’s got everything: triangles, some research into magnetism, mathematics, and a practical application in a fantasy setting.

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These are my notes for a spell map that will allow one of the mages to enchant a piece of magnetite so that it becomes a strong, permanent magnet. This is meant to be a major plot point in the upcoming session, so I wanted to take some extra time to create something more engaging, rather than just have the players roll a dice and beat a hard DC.

The rabbit hole I fell down was creating a spell map for the enchantment (If you haven’t read my post on spell maps, you can check it out here). After reading up on magnetite, which is the source of naturally occurring magnets called lodestones, I found that it naturally forms octahedrons. Rather than having players working on a 3-D puzzle, I drew out a 2-D version of an octahedron on graph paper and started seeing if I could make a sort of Sudoku puzzle:

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The idea was that the spell map would be a miniature octahedron, reflecting the crystalline structure of magnetite, but the sudoku idea didn’t work out so well. Still, the diamond pattern ended up forming some interesting patterns: the octahedrons in magnetite are actually formed by thousands of smaller octahedrons, so it was cool to graph out a spell map that was made up of small versions of itself (huzzah, it’s recursive!).

But I wanted the players to feel like they’re actually learning about magic rather than just doing a stock puzzle, so I started seeing if I I could weave information about magnetite into the puzzle, such as its melting point, durability, metallic qualities, etc.

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But that didn’t lend itself to puzzle solving. I took a look at the cool, nested design of the 2-D octahedron and thought maybe it would be fun for the player to use the patterns found in magnetism itself to solve the puzzle. I tried superimposing the lines of magnetic pull on the octahedron pattern:

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I found out I could superimpose the patterns in a simple bar magnet on a lattice of octahedrons to create a pretty cool design that might have the material needed for a puzzle: structure, patterns, and a goal. That led to this design:

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The idea would be to build a sort of “connect-the-dots” puzzle built on the patterns in both magnetism and the structure of magnetite, with the player following rules to recreate the design formed by the magnetic paths (which are like big loops radiating out from the North and South poles).

Below are some of the important graph points I isolated (along with the qualities of magnetite). At the center are the two poles, with the outer dots forming the boundaries of the magnetic patterns. These are meant to form the guidelines of the puzzle, which will require the player to do some tracing to recreate the drawing in the previous picture.

 

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Eventually, I created a blank grid of numbers, which the player will use to reconstruct the whole design by following a set of instructions (sort of like a human computer program).

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Compare the grids and sketches above to the sketches in the last post about spell maps:

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What I found was that this layout, made up of numbers arranged on a grid, ended up looking a lot like Pascal’s Triangle, which in turn forms the basis of the Sierpinski Gasket, one of my favorite fractals:

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I don’t know if the puzzle will end up being a functional part of the upcoming session, but I thought I’d share it here on the blog. It’s a cool intersection of geology, mathematics, and fantasy, and it ended up being good practice for figuring out how a mage would go about enchanting a rock to become a compass.

 

Worldbuilding: Spell Maps and Magic Systems

Despite this being the Occult Triangle Lab, I haven’t spoken much about occult trigonometry. I’ve talked about using binary code as the basis for magic systems, as well as magic as poetry, but not much to do with triangles. Except for that origami pyramid wrapped up with Zen.

The origami pyramid Nirodha.

Magic in fantasy, as I’ve said before, shouldn’t be a science. It shouldn’t be a palette-swapped form of electricity or physics, where mages carry out “experiments” like Isaac Newton (though he himself was apparently a big fan of alchemy). The reason is that magic, when approached like a science, brings up same reductionism that haunts modern people: if we’re all just chemical reactions in our brains, is there space for truth, or meaning, or wonder? Because those are the very things fantasy can explore like no other genre.

I think magic in fantasy should have rules. The way I conceive it, it should undergird the workings of nature and the world, similar to how Ursula LeGuin’s used taxonomy as magic. But when I imagine magic, there’s something transcendental about it that goes beyond science and materialism. How do you begin designing a system like that? It’s like making up a fictional branch of aeronautics. But that’s what’s so amazing about worldbuilding: you get to make the rules.

What follows is the basic building blocks for a magic system that I conceived back in 2014, combining the art of Buddhist mandalas, computer coding, and musical theory with metaphysics, astronomy, and trigonometry. This is, in the realest sense, a product of an occult triangle lab. One note, however: this is all hypothetical. I don’t have a degree in linguistics like Tolkien, or in graphology. To actually create the symbolic language I describe and to embed these kinds of patterns in it would be something akin to making a crossword puzzle out of an entire language. It would take years of careful construction. So maybe a long-term project for me.

But in the meantime…

Spell Maps, COMPUTER CODE and GEOMETRY

A couple years ago, I started to sketch out the beginnings of a written magic system for my fantasy world. I imagined putting together a bunch of symbols in a sequence that expresses what you want to happen, like you’d do with a line of computer code. But there is something inherently beautiful about how these symbols would fit together: if you deconstruct the interactions between the symbols, you would find that all the symbols could be grouped into discrete units, with the groups’ unity based around shared markings in their graphic composition (similar strokes and dots in the symbols) or the part of the spell they affect (such as binding or flight). These rows of symbols would form rectangular paragraphs, and these rectangles could be oriented to one another like building blocks to form geometric shapes, with each paragraph forming a side of the shape.

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These shapes would be arranged into a “spell map,” a geometric representation of how the different parts of the spell work together. It would form a radial or symmetrical design based around a central polygonal figure, such as a square or hexagon. Arms extending from the central polygonal shape would represent the different aspects of the spell, and the smaller components of the arms would be based around their own geometric patterns, making a chain of hexagons, squares, triangles, and so on. So the patterns contained within the individual lines of magical code would eventually form spirals of meta-patterns.

A functioning, well-written spell would have perfect symmetry when all the symbols are arranged in this manner, so a mage writing a new spell could actually lay out their writing in a half-made spell map and figure out what to write next based on their knowledge of geometry and angles. They can also figure out where their spell is going wrong based on the symmetry of the design.

Spell Maps, Triangles, and Designa

The thing is, every polygon is made up of triangles. When you have a regular polygon, like a pentagon, you can subtract 2 from its number of sides and multiply that by 180 to get the sum of its internal angles. Why 180? Because that’s the sum of the angles in a triangle! If you’re trying to create huge, perfectly geometrical spiral designs, the key lies in the shapes that will work well with the central polygonal shape; linking together a hexagon and a pentagon will make for some crowded, chaotic spiral arms. Shapes made from the same sort of triangles that make up the central polygonal figure, on the other hand, might work to create perfect mandala-like designs.

Working with triangles as the basic building block of all shapes, you can figure out the angle measures of the “ideal” triangle for your central polygon (say, a hexagon, which is made up of equilateral triangles with angle measures of 60 degrees) and create a grid made entirely of those triangles. Using this grid, you can be assured that all shapes made from those triangles will have angles measures and lengths that will synch well together. If you’re a mage, it also means that you have all routes for the development of a new spell map.

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But in practice, single-triangle grids may not contain all the triangles necessary to create perfect designs, especially if you want a mix of different shapes. You’ll need permutations of the right triangle, the equilateral triangle, and 30-60-90 triangle, with angles and lengths adjusted to fit the angle measures of your central polygonal figure to have all possible options. This means, to see all possible shapes, you should be working with three triangles grids superimposed on top of one another, calibrated to the right angle measures.

So that’s where things get complicated.

A book I picked up from The Strand is a great guide to this kind of geometrical drafting–it’s called Designa by Wooden Books, and it walks you through the history, drafting techniques, and mathematics behind different designs from all over the world, including Muslim religious patterns and Celtic knots. Woven into these patterns are symbolic meanings and symmetries, reflecting beliefs about the universe, nature, and God.

So there you have the first stage: the idea of a spell map, a meta-pattern that gives a geometric structure to a normally linear, code-like spell made of symbols. Like a computer system, it can be revised and troubleshot based on the patterns embedded in its operations. When it’s evoked, it casts the spell coded into it.

SPELL MAPS, MAGIC, and MUSIC

After looking at the triangular grids I’d made, I used the horizontal lines made naturally when you mirror two rows of triangles vertically to measure the size of a map, which would express its “magnitude”: the larger and more complex the spell, the more space on the grid it will require, and the greater its “magnitude,” since larger spells means using more lines of symbols. And that led to a new idea.

As I looked at the designs I’d made, I wondered what it would look like if I tried to reduce all of the symbols and patterns to binary, so that a spell could be fed through a punch card-computer, like UNIVAC. I also realized that the “magnitude lines” I’d drawn also imposed something like a musical staff on the whole design. It reminded me of Deadmau5 playing the Castlevania theme on a bunch of modular synthesizers, and the Black Midi series, especially this one, where the designs made by the notes end up looking like large spell map. I imagined playing cross-sections of a spell map like Black Midi, with every symbol being a note.occult triangle lab chris mahon worldbuilding fantasy spells

Music is made of patterns and mathematics, and the same kinds of waves that describe sound can apply to light, energy, and matter (I dove into sound waves and quantum mechanics in this post). In my sketches, I started to see how a given spell could be expressed as a song as well as a mandala-like graphical representation. And if you look back to wizards like Vainamoinen, spell-songs are exactly what mages used to change the world around them. It’s a really cool piece of synchronicity, and it’s one of the fascinating coincidences that pops up when you delve into this kind of worldbuilding.

Metaphysics, Spell Maps, and the Universe

But when I looked closer at my sketches, another pattern started to appear. I started to see how a spell map could also be a reflection of the symmetry of the universe, in the same way that Buddhist and Hindu mandalas supposedly reflect the order of all creation. In fact, the structure of a spell map looks like a universe of sorts: it’s a miniature galaxy, with spiral arms containing dozens of individual ‘solar systems’ (symbol-rows grouped around the center of a shape) containing sometimes hundreds of individual ‘worlds’ (symbols) and comprising thousands of ‘people’ (individual strokes that make up the symbols).

In my conception of this magic system, this is where magic crosses over from being a computer program and reveals its ties directly to metaphysics. Like a fractal, the pattern of the whole universe is expressed in miniature in the spell map, because magic is essentially a way to change the universe. And in this system, the way to change reality is to build a microcosm of the universe and rewrite it by hand. In this way, a spell map could also act as a kind of divination or scrying tool, like the I-Ching (a book that fascinated Phillip K. Dick to no end), reflecting the conditions of the world rather than changing it.

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Conclusion

Great worldbuilding should work like an iceberg: 10% on the surface, 90% below the waterline. I think this is one of the reasons the worldbuilding in Dark Souls rakes in such unreal praise. There’s a sense that beneath the immediate information you’re given, there’s whole volumes of knowledge and secrets to learn and immerse yourself in. It’s the opposite reason people can’t get through Lord of the Rings or The Silmarillion. But whether you’re revealing all of it or letting the reader unravel how everything fits together, I think the best way to accomplish that feeling of a vast, immersive world is to actually build it behind the scenes. I spoke about this before, but the small details are crucial to making fantasy work, and this is especially true when it comes to magic.

So if you’re a fantasy writer building a world from the ground up, explore everything. Everything feeds into everything else, the world is a frightening and wonderful place, and when you dig deep enough, triangles lie at the heart of everything.

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ERGODICA, Part 2: Interdimensional Necromantic Blues

Be sure to read Part 1 of ERGODICA here.

Last post, I brought up the idea of a “corpse book,” a piece of ergodic literature that uses the human body as the blueprint for its narrative structure. Before I start unpacking the insanity behind this idea and the ensuing project (which will involve philosophy, mathematics, occultism, and the nature of reality) it’s helpful to know what the hell “ergodic” means. According to the internet, “ergodic” means:

“relating to or denoting systems or processes with the property that, given sufficient time, they include or impinge on all points in a given space and can be represented statistically by a reasonably large selection of points”

Ergodic literature, however, is defined as the following:

“In ergodic literature, nontrivial effort is required to allow the reader to traverse the text. If ergodic literature is to make sense as a concept, there must also be nonergodic literature, where the effort to traverse the text is trivial, with no extranoematic responsibilities placed on the reader except (for example) eye movement and the periodic or arbitrary turning of pages.”

The corpse book, as I imagine it, makes sense in both of these definitons–mathematical and literary. So sit back and open your mind here–we’re going to take a journey into the wondrous world of imagination, starting with the oh-so-fun topic of death and Kierkegaard.

There is a famous work written by Soren Kierkegaard, under the name Anti-Climacus, titled “The Sickness Unto Death.” The title comes from the Bible, in the Gospel of John–in that Gospel, Jesus comes across a dying man named Lazarus, and utters the words “This sickness is not unto death, but for the glory of God.” ‘This sickness’ refers to his dying condition, and the meaning of Jesus’ statement can be read as “This man’s death isn’t for nothing–it is part of God’s plan.”

Death is the focus of a lot of different philosophies, but especially existentialism and Zen Buddhism: death represents the annihilation of the self, including our memories, our personalities, and everything that forms our identity. Death, in a lot of ways, is the crux of all philosophy, which led Albert Camus (who I hate) to say that the only true philosophical question worth pondering is suicide.

For Kierkegaard, the truly frightening thing is the sickness unto death, the death that is for nothing and no one, the death that means nothing. Kierkegaard imagines the human soul as trapped between the infinite and finite, always being pulled in both directions at once: on the one hand, we are divine creatures with immortal souls, but on the other we are bound to our bodies, senses, and everything that entails. The pursuit to reconcile these two is the heart of Kierkegaard’s existentialism, and offers a meaning to life. But to reject that quest, to say IMG_0955“fuck the infinite and the finite!”, is to choose despair. To choose despair, and to keep living, is to choose the sickness unto death.

In my stories and my world, the question of the sickness unto death is the chief philosophical concern. Death comes about from one thing: decay. So necromancy has risen up to deal with the practical concerns: how to keep the body intact and repaired ad infinitum, how to move a soul out of a decaying flesh body into a vessel like a phylactery or an artificial body, etc. Some kinds of necromancy, even more complicated and rare, aim to alter the body’s place in time, allowing people to slice minutes or seconds as thin as hairs, stretching out the moments. In all of these cases, the body is the central concern. Without a body, you have no tie to earthly existence, to the finite. So the body is the chief concern of necromancers.

This is the central feature of the “corpse book” I’m imagining: to tell a story about a necromancer, the story itself would have to take on the form of a body…or a corpse.

Part 2: Kabbalah, Evangelion, and the Oneness of Things

In Kabbalah, the Sephiroth is a map of all god’s creation, laid out symbolically. It’s made of twelve different parts, called sephira, each one representing a different aspect of the universe, God, and a step on the path to ultimate enlightenment. As you climb up the Tree, from the lower to the higher 6271sephira, more is revealed by the different interconnections between them: the relationships between the sephira mean as much as the sephira themselves, creating layers and nets of meaning.

One of the many ways to understand the relation of the different sephira is to see them as parts of a giant body, with the feet (malkuth, the lowest sephira, representing the material world) touching earthly existence and the head (Kether, the highest sephira, representing God’s consciousness) touching the heavens. With this symbolism, the human body itself becomes a map of the universe and the path to enlightenment.

Incidentally, this is one of the reasons Evangelion pisses me off so much, making me say “God DAMN it, that’s clever.”

The Tree of Sephiroth shows up as a consistent motif across the Evangelion series, all the way to End of Evangelion, where the Mass Production EVAs enact a ritual that lifts the crucified EVA-01 into the sky, rising in a formation with an overlaid Sephiroth pattern, each EVA representing a different sephira. Below, from the clouds, rises a giant white body, which is the unity of Lilith (the female aspect of creation) and Adam (the male aspect of creation). The giant Lilith-Adam becomes the catalyst for Instrumentality, tumblr_inline_o091y7adxv1tryobx_540subsuming Shinji and all human souls into itself in order to either destroy humanity or cause its rebirth. So what we’re given here is a literal reenactment of the Sephiroth, the map to the totality of God’s creation, as a giant human body initiating the destruction and creation of the world. The giant has its feet on the surface of the Earth, and it’s head is in fucking space, staring at Shinji so he can have a liaison with Kether by being literally sucked into Rei’s forehead.

So there you have it: a narrative, visual synthesis of Kabbalah, a protagonist’s literal apotheosis, and the culmination of a story about understanding the human condition through one person’s journey into themselves. It’s perfect. Damn it.

The relationship of the Sephiroth to the human body speaks to an interesting phenomenon in mysticism and philosophy: the multiple meanings of things, and the conflation of different meanings. The Tree of Sephiroth can represent the human body just as it represents the map of creation, just as it represents a map of the path to enlightenment, just as it represents God. Thus, the body is the universe is God is enlightenment. This is why mystics keep talking about the “oneness” of things, that we are all “one.” To their eyes, the eyes of the enlightened, everything is everything else. The smallest insect is an expression of the ultimate truth of being, just as the rhizomantic nature of a flock of birds points to the order within the seeming chaos of being. The world is filled with hidden symmetries and patterns that all form the tip of a single iceberg.

It all sounds like some real mystical bullshit until you become aware of the existence of fractals.

Part 3: Fractals, Infinity, and Triangular Gaskets

So the human body, the vessel of the soul and the central feature of necromancy in my world, has a lot of meaning attached to it. Most of these meanings transcend the flesh and blood of human anatomy, but some are very literally embedded in it. Fractals are “a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale.” Fractals have a metapattern that nests within itself, with the smallest complete part of the pattern being a miniature reflection of the whole pattern.
Fractals show up in snowflakes, wave patterns in the ocean, crystl-systemresults2als, and plants, among other places. When electricity is injected into certain mediums, the resulting branching pattern has fractal qualities. But the most immediate example is human veins, which resemble patterns called L-Systems. L-systems are also found in tree limbs and wheat stalks, and appears in mathematical models of population growth for simple kinds of life, like algae. In pure mathematics they show up in Pascal’s Triangle and infinite recursion, among dozens of other places. In each of these cases, the fractals form patterns that nest inside themselves and expand outside of themselves forever–in their purest forms, fractal patterns are infinite.

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So let’s break this down. There is a type of pattern that is found in both nature and in pure mathematics that affirms the idea that no matter how large or complicated the pattern, the smallest piece of something can reflect its whole. This pattern has within its very nature the potential to be infinite, but is also found in finite forms: veins within human bodies, branches on trees, etc. Fractals seem to be, in a lot of really fascinating ways, a bridge to understanding the way to reconcile the impossible poles of the finite and infinite, the micro-scale and the macro-scale. Contained within fractal patterns, then, is potentially an expression of the path to enlightenment.

But then there’s the Hausdorff dimension.

I am not a mathematician. I’ve said this before, I’ll say it again. But the relationship between fractals and their Hausdorff dimension, to me, is one that seems to evoke sheer madness.

When you measure the sides of a square, you get a solid number. 10 centimeters. 18.465 centimeters. But when you try to measure a fractal shapes’ dimensions, the answer depends on how big your magnifying glass is. Since true fractals repeat in smaller and smaller iterations forever, measuring a true fractal would be impossible, since every time you tried to measure a part of it, you would discover an even smaller part contained within it which needed measuring, and an even smaller part within that one. Think of cutting the corners off of a table, turning a square into an octagon. Then cut the corners off the octagon. So on. This is something akin to the famous Zeno’s Paradox, mentioned in my previous post about Mr. Powell.

The Hausdorff dimension tries to measure the dimension of objects, whether one dimensional or three dimensional. Usually the Hausdorff dimension can be expressed as a whole integer, like 2 or 3. But fractals, which tinker with infinity, have bizarre Hausdorff dimensions, ones that defy logic or reality. They’re anomalous, impossible, but like the arrow in Zeno’s Paradox, it’s hard to draw the line between being mathematically impossible and physically impossible–especially when fractals seem to form some of the underlying patterns across nature and math.

My favorite is still the previously mentioned Pascal’s Triangle, which was part of the inspiration for “Chris Mahon’s Occult Triangle Lab.” The patterns within the triangle, when drawn out, create a well-known fractal pattern, the Sierpinski Gasket.

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Part 4: Fractal Immortality, Interdimensional Necromancy, and You

I mentioned a couple ways that necromancy deals with staving off death from the physical body. I mentioned the alteration of the body through repair or the use of a vessel, like a phylactery. I also mentioned the manipulation of time.

Imagine you’re a particularly clever necromancer, one who explores the soul’s connection between the infinite and the finite, those two binary positions. If the finite is expressed as 1, then the infinite could be expressed as 0. These are mathematical limits, and the human soul exists between them somewhere. But what if you explored mathematics in addition to necromancy? Things like Zeno’s Paradox and the nature of fractals. You would find that between two limits, even 0 and 1, there is an infinity of points curling in on themselves, nested upon one another to eternity. If the human Hausdorff dimension exists somewhere between 0 and 1, is there a bizarre decimal value, a little valley where you could live inside the limits but outside of existence? Is it possible for mathematics to come across a piece of math that takes it outside of anything math can explain?

It’s absolutely possible. In fact, it’s impossible to prove it’s not.

There’s a theory called Godel’s Incompleteness Theorem. From Wikipedia:

“The first incompleteness theorem states that no consistent system of axioms whose theorems can be listed by an “effective procedure” (i.e., any sort of algorithm) is capable of proving all truths about the relations of the natural numbers (arithmetic). For any such system, there will always be statements about the natural numbers that are true, but that are unprovable within the system. The second incompleteness theorem, an extension of the first, shows that such a system cannot demonstrate its own consistency.”

What this boils down to is that there is no way to definitively prove that any given system, like mathematics, is consistent when you use that system to test itself. So imagine you want to escape the finite and the infinite from within that system of 0 and 1. It’s not impossible. In fact, there are already things within that boundary that show that there’s whole worlds within the bounds of 0 and 1, where everything breaks down and the rules become meaningless: fractals.

IMG_0855Imagine escaping three dimensions for 1.38 dimensions. Death has no meaning there. Your body has no meaning there. It’s a kind of infinity, just a smaller type, a stranger type within a bigger infinity. Your soul, your self, that’s infinite, too. You could live forever. But it’s the crossing over that would be difficult–transcending or descending from this dimension.

And this is where everything goes wrong for our necromantic protagonist.

He doesn’t make it from this dimension into the fractal dimension. He makes a mistake, somewhere deep in his arcane mathematics. And now his soul, his self, is trapped between the finite, the infinite, and another, fractal infinity. As you can probably imagine, this non-Euclidean, neo-Lovecraftian experience can drive a person insane.

The effect of this cross-dimensional interpollation, in my conception, would be the decay of the soul instead of the body: instead of hanging in stasis between finite and infinite, the closed system would become unstable, with the soul getting ripped apart and slowly sucked into the fractal dimension like water going down a drain. This would be a gradual annihilation of the soul over a period of time that couldn’t be measured in reality, but rather by its own, internal clock.

This would be the plot of the corpse book.

Part 5: Ergodic Literature, Ciphers, and Counting Down to Annihilation

Fractals form the heart of the structure and narrative of this book, linking together time, death, immortality, the decay of the body, the infinite, finite, and wide-eyed madness, and the way to read about it all necessitates a special way to navigate the story.
The story told in this corpse book is one told across several limbs, or tertiary books, all of which are interconnected in the same manner of the Tree of Sephiroth. All of the books combined represent the symbolic body of the protagonist, divided into respective facets of his self.

In my current plan, each of these limb books are to contain approximately 10,500 words. This is because the average person reads at roughly 175 words per minute. With five limb books (head, feet, arms) and a central “torso” book of 63,00 words, that adds up to roughly 12 hours of reading time. This is the “internal clock” I was talking about: as you’re reading each word, minutes pass in both your world and the world of the narrative, meaning that the protagonist’s soul is gradually dissolving in real time.

These are the last 12 hours of his life, and the individual pieces of his self are disappearing one by one, infinity eating him alive. The name of the book would be OROBORO.

occult triangle lab oroboro

Imagine trying to navigate a mind like that. Instead of a clean, perfectly symmetrical path across his Sephiroth, the path would be jumbled, fragmented, insane. This would be more like piecing together a falling building than reading the linear chronology of an adventure. So I imagine that each limb book would be fragmented, asking you to return to the central torso book a couple times to help unravel its individual story, with the narrative crossing the boundaries between the books and the reader decoding the path forward as they go along.

My initial idea is to have a word or a name become a cipher, something with significance. Using a process similar to my last post about encoding true names into hexadecimal or binary, certain phrases would be ciphers to figure out the path of the narrative, whether that was a page number, a certain passage, or one of the other limb books though I’d probably keep the torso book as the main “reference” book for each limb book to keep things simpler. The torso book would be like a dictionary or an astrology chart peppered with hidden pieces of the story, unintelligible until you saw the rest of the puzzle.

Tied into this idea of moving between a cipher guiding a reader’s path through the torso book and the constant decay of the protagonist’s soul in real time, I thought it would be appropriate to use a system that involved modular arithmetic, the same system that clocks use.

410129712_origThe modulo would begin at twelve, the number of hours until the final dissolution of the protagonist’s soul, and with each passing limb book (which take 2 hours to read), the modulo would decrease by 2. The advantage is that the modulo system is a relatively easy kind of mental arithmetic, something readers could do in their heads or on the back of a Post-It. Another possibility would be to use a Sierpinski gasket as the main mechanic, using the numbers and patterns contained in it as an easy cipher.

If everything is done right, the process of figuring out the cipher will force the reader to inhabit the same mindset as the protagonist himself, immersing them in the same world of arcane mathematics and hidden patterns that brought him to where he is now. This is a world of fantasy, after all: a world of wizards and necromancers who bury themselves in old, dusty, esoteric tomes to find forbidden knowledge that takes them deep into an unseen world.

It reminds me of H.P. Lovecraft’s Mountains of Madness, in some ways. Once the heroes penetrate the city of the Old Ones and begin exploring its depths, they begin to find walls of pictograms that show their history, from their arrival on earth to the rebellion of the Shoggoths. There’s dozens of pages recounting this history as the protagonist unravels it, and instead of feeling like it’s an information dump, it begins to illuminate everything else about the city.

16_hpl_mtsmadness_hbrown

The way I see it, the whole cipher-puzzle system asks readers to learn something new as they read, picking up the skills and mindset naturally as they follow the narrative, until they find themselves applying it to advance the story. The story would ask you not just to absorb it, but navigate it, and that navigation would bring you closer to understanding the central character and the esoteric, frightening, and entrancing arts of interdimensional immortality, and what drove him to seek it out.

Part 6: V FOR VENDETTA, Ideas, and the Outro

So what we have is Kierkegaard’s existentialism, Buddhism, immortality, Kabbalah, fractals, and Godel’s Incompleteness theorem woven into a piece of experimental literature about an interdimensional necromancer trapped between two infinities. That’s the basic layout of this project I’m working on, the elevator pitch. It’s fun to weave all these ideas together, to play around with them and find weird, interesting parallels and symmetries. When I read V FOR VENDETTA, one of the things I wondered was if Alan Moore and his co-writer started getting freaked out when they put together all of the striking connections between Guy Fawkes, the letter V, and the number 5, the symbol for anarchy, quotes from Faust, and the story they were weaving. It seemed like it all fit together too well, as if these patterns were all there from the beginning, waiting to be discovered. Of course, when you’re a writer you try to force everything to fit together into a perfect thematic pattern, but maybe there comes a point, like in Foucault’s Pendulum, when yov-for-vendettau begin to feel like you are part of the pattern, not the one creating it. Terrifyingly enough, that sentiment, too, is part of V FOR VENDETTA:

“I had to see it. There wasn’t much left. But when I was there it was strange. I suddenly had this feeling that everything was connected. It’s like I could see the whole thing, one long chain of events that stretched all the way back before Larkhill. I felt like I could see everything that happened, and everything that is going to happen. It was like a perfect pattern, laid out in front of me. And I realised we’re all part of it, and all trapped by it.”

There’s a lot more to writing a story that piecing together a lot of really cool ideas. I said that before about Neal Stephenson. But a famous writer once said that writers end up writing the kind of thing that they want to read. This is the kind of thing I want to read, because it’s exciting, bizarre, and fascinating. I bet if I looked, I could find other people who think the same thing. It’s inspiring to test the bounds of imagination and creativity and storytelling. I think that’s one of the things that makes writing fiction so unique.

occult triangle lab sketches

The Crownless King

‘The crownless king’ is a necromantic concept I’ve had in my head for a couple years now, waiting to be woven into a story. It’s meant to be an honorific, a title, an honor. It came partly from Kabbalah, from the Tree of Sephiroth: the highest sephirot is Keter, the Crown, which is equated with the head of God, the King of Creation. 

The ‘crownless king’ came up in one story, but the draft was never finished. The story was about chiromancy, the magic of altering and manipulating the human body. Here’s an excerpt from the story, which deals with the concept.

Let me know what you think in the comments.

— Chris

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Samal looked down at the bailing knife in his hand, held it up to the light, and tilted it. He held it out to Iz.

“Hold this.”

One by one, he began unbuttoning his coats, jackets, and shirts, until the illuminated, tattooed skin of his chest was bare. When he was finished, Samal sighed.

“When I was growing up, there were seven hallmarks to a wizard: a name, a song, a card, a craft, a hand, a tongue, and tired feet. For Muzin, there were tattoos added in.”

Samal made eight points on his chest with his fingers, each one touching a different star. “The eight points of the world, the eight ports…the seven hallmarks and the tattoos show you’re bona-fide.” Samal shook his head slowly. “Real bona-fide wizards don’t die.”

Iz was staring at him. Samal could see his mind working.

“I’ve seen friends of mine take a bullet to the lung and keep laughing. One of them walked out of a hostel without his jaw. They knew the amount of blood in their bodies down to the thimble, and they could weave muscle faster than yarn. The only way to get seven hallmarks was to be a stitcher, bones, blood, or tissue. Now we’re back to just that. There’s only one hallmark left now, and it’s the crownless king. You ever heard of the crownless king?”

Iz shook his head slowly. The knife was getting tighter in his hand. Samal put both hands on his head.

“A crownless king is when you can take away a person’s head, sever it from the spine, and the person doesn’t die. They don’t drain blood, they don’t need air, they don’t eat food. Their body is perfect, no matter where you cut it. There have been twenty-two crownless kings in our age. My teacher was one of them.” Samal nodded to Iz. “Now, I’ll show you how to harvest muscle.”

Samal pointed at one of the stars on his chest. “You’re going to open me from the north to the south star. Half an inch deep. That’s this much.”

Samal held up a half-inch between his thumb and forefinger.

“If you cut too deep, it won’t matter to me. Just take your time.”

Iz’s body stiffened up, and his shoulders rose, but he didn’t say anything. His neck jerked to the side, then his arm, all the way down his body, like a puppeteer tugging on each joint. Then he stepped forward with the knife. With careful precision, he laid one hand on Samal’s chest and inserted the blade into the skin. With steady pressure, he dragged the tip down Samal’s sternum, watching the tip of the knife with rapt attention. Samal could feel the cold sensation of metal parting the skin, and almost shivered at the smoothness and ease: either Iz had a practiced hand at carving, or he was half-asleep.

Then it was finished. A thin line divided Samal’s chest, cutting the tattoos in half. He took the knife and made two more long cuts, perpendicular to the first, creating a tall ‘I’. He peeled back both wings of skin and revealed the wet, red muscle of his chest. Iz stared like was looking toward the horizon.

“No blood,” Iz said softly. “None of it’s spilling out.”

“It’s hemostasis. Instant clotting, and the rest flows along the flesh like a magnet. You did a good job, too. Half-inch.”

Samal sighed, and the muscles bulged outward with his diaphragm.

“You have to be careful with this, especially in the cold. All the heat escapes, and diseases can get right into the flesh. You have to be very careful.”

Samal reached in and made two incisions on either side of a length of muscle, about three inches long. With the tip of the knife, he lifted out the strand and set it in his other hand.

“When you’ve got a body like mine, it heals very quickly, but I have to eat food, drink, and rest. I’ll get this strand back in two days. Now, bring me your bowl.”

Iz brought him the little bowl of water, and Samal set the strand of muscle in it.

“You’re going to grow this strand, just like my body will grow it. I’ll give you the powder, and you sing to it. In a few days, it’s going to grow into a sheet. When it’s ready, you can start using it again. And when you’re finished with the skull, I’ll show you how to harvest your own muscle.”

Iz took the bowl. “How long did it take your teacher to become a crownless king?”

“It took him eighty-two years, I think.”

“Is he still alive?”

Samal bit his lip and exhaled through his nose. “No.”

“What killed him?”

“He killed himself.”