Humana non sum, nisi mutatio.

Words from a chinese room.

[endfall]

Cellular Automata that behave sort of like the universe.

Just an errant thought. Current 2D Cellular automata are terrible models of our universe for various reasons. Some criteria that would make a CA more “universe-like” are:

Rules

1) If dead, probabalistically don't be dead. a. Because our universe (presumably) didn't have an editor tool to inject life. 2) Living Pattern Stability. a. A cell following rule 1 which is part of a living pattern couldn't be suceptible to disruption. b. This is the discrete answer to waves being able to pass through eave other without damaging each other. 3) Fundamental Patterns a. A rule should cause some patterns to be immortal unless they meet other immortal patterns. b. eg, fundamental particles/harmonics if you like string theory c. Ideally, the number of these immortal patterns is finite. States

0 - Probabalistically Dead 1 - In Living Neighboorhood - remains dead unless a state greater than 1 causes life 2 - Alive. 3? - Fundamentally Alive? I’m not sure if a fundaental state is a good representation for Rule 3.

[endfall]

Thesis Tenosyat WIP!

This is a cover for some books I’m writing!

Definitely not done yet, though - those grey pie slices need to be replaced.

Man, I’m excited as hell for this series.

[endfall]

Simple screenshot of a game I’m in the process of building. Since this is my first project with graphics, I’m basically just going to do a simple shmup. Once the game is complete, I’ll post the sourcecode, and an executable for windows. Don’t expect gameplay brilliance. I’m making this solely so I can figure out the answers to some basic questions about 2D game programming, since I find tutorials boring, unless I’m having an unsolvable problem.

You can’t see it in the screenshot; but the clouds appear to be fully 3D. This was attained through creative abuse of paralax and transparent images. It’s probably a bad approach in the long term, though, because it requires prebaked images with predefined resolutions; eg, if you scale the images, you rapidly run into problems with tiling.

...then again, it could probably be worked around with a smarter tiling system than the one I’m currently using. IDK, I’ll have to experiment. A smarter tiling system is something that’s necessary anyway - I want any tiled maps I eventually make to look as untiled as the ones in Chrono Trigger, but I don’t want to invest the time that the CT dev team did in manually building the maps to avoid the tiled look. I want to say “yo dawg, these are grass tiles” and have the program handle the tedium.

I’ll post a quick and dirty tutorial on how to get the 3D clouds effect within the week.

[endfall]

Grey World System Devlog/#0

In this post, I’ll lay out what I’m trying to do.

One thing that’s true about our world is that everything effects everything else.

It must.

That is what causality is.

One thing that’s not true in the RPGs I’m familiar with is this sort of causality. Strength doesn’t effect speed. Attack doesn’t touch defense. One aspect of who your character is touches not at all on any of the others.

And you can make great games this way. Certainly, I’ve loved plenty of videogame RPGs built on this kind of system. I’m sure I’d love tabletop RPGs with similar dynamics, if I didn’t flee from human relationships like a vampire from holy water.

But, hey. Look. Old ground. And I’m not enough of a connisseur. I don’t understand the differences between all these systems to do something I think is interesting inside that category. I’m sure it’s possible, but I’d need to study that old ground for quite some time before I managed to find the cracks.

I mean, I’m so ignorant here that for all I know, my so-called big idea is tripe and trite.

Still, nothing ventured, nothing gained; naught risked is naught attained.

The big idea is this: In the Grey World System, everything is entangled. Every stat affects every other. All classes are defined in terms of each other. I’m still attempting to figure out how to make character skills fall into that paradigm, but, er, yeah. This is something unlike what I’ve seen, so far.

So, how does this work?

Basically, you translate base stats to line segments in modular 1D euclidean space and do a bunch of calculations involving their start and endpoints to calculate buffs/debuffs.

Sorry if that’s vague, but this is exactly the sort of thing that you can write paragraphs about, or make a single picture of and convey the thing simply. Eventually - perhaps when I write the quickstart for the system, but probably before - I’ll post that image. For now, I’m too busy driving myself spare coding it.

Anyway. The one simple idea that I’m happiest with is the Class Net. It’s already implemented. This is a system that more-or-less automates game balance.

It works like this:Your character’s total buffs might let them exceed it, but there’s a cap of 7 for the base stat. Stats are class-bound. All classes have a basic potential for power. 7 only means that you’ve reached the end of that potential.

When two characters of different class meet, they multiply and divide their stats according to potential. Let’s say the class “god” has twice the speed of the class “demigod”. Then, if they race, the player of the “god” gets “twice” the “speed” (”and” “more” “unnecessary” “quotes”).

Basically, if the demigod and god both have speed 7, then the god either multiplies its speed by 2, or the demi divides by half.

Which is, uh, great. You may be wondering how this automated balance, though.

It’s simple: Every class must be defined in terms of one, and only one, other class’ stats. All class progressions must have a starting class defined in terms of a special class called the Default. So in our example, “god” is defined in terms of “demigod”, which is defined in terms of “mortal”, which is at last defined in terms of “Default”.

Now, let’s introduce another progression: “bird“ → “false phoenix” → “phoenix”In this case, “bird” is the class defined in terms of Default.

Now, say a “phoenix” character races a “god”. To find how fast the classes are in relation to each other, all that needs be done is to multiply the speed of “god”, “demigod”, and “human” on one hand, and to multiply “phoenix”, “false phoenix”, and “bird” on the other, and then to divide one by the other to find the disparity between the two.

It saves a bunch of work down the line.

Downsides? Well, it’s more rigid, for one. You aren’t free to have a system where, for example, you have three classes, two of which have the exact same stat multiplier, and have the third class shine against one, and such against the other. If it comes down to pure stats, that third class will shine or suck against both, equally.

Fortunately, the Grey World game has never, and will never be a pure stat game. There are systems that create non-stat based disparity that will allow two classes with equivalent stat multipliers to be meaningfully different.This system can’t be used in a game where this is false.

Heh, okay, it can, but it would be boring.

Okay, I’m done for now. Next time, I’ll regale the silence with tales of how I finished implementing the Stat system’s entangled mathematical aneurysm, or something.

Changelog:

v2 - tumblr broke the line breaks in v1

[endfall]

Building an RPG...

...is something I wanted to do for quite some time. As in, literally decades. However, for some reason, I pursued writiting instead, and became just good enough there to know how terrible I really am.

Competence goes like so:

-You know you have no ability.

-You gain the rudiments of the rudiments, and begin thinking you’re decent.

-You improve, and begin to think you’re good.

-You think you have high skill. Many people never break through this level.

-You gain just enough skill to finally know what good actually is. Suddenly, you know you’re still terrible. (And people who have no ability can see this.)

-You get better.

-If you can continue getting better forever, eventually, you become a human treasure.

Most people serious about developing some skill die stuck on the second to last level. To prove that statement, divide the number of world-class people in a field by the number of people in the field as a whole.

Anyways, I’m currently probably gaining the rudiments of the rudiments of game design, and I’ve actually started coding my RPG. It’s so mathematically complex that - should I actually carry the concept to completion - I’ll have to write a smartphone app for it. The funny thing, though, is that It’s basically simple to explain in english, only taking a paragraph or two. I wish that writing the algorithms was so easy, but nooooo

Anyway, if I remember this blog exists, you can expect a development diary to be posted here. Otherwise, I’ll probably only come back when the thing is done.

[endfall]

EVER WONDERED WHAT A MANDELBROT SET ACTUALLY LOOKED LIKE!?

WONDER NO MORE

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...and this is a 10x10 one. I have a raw data file for a 3000x3000 one sitting around on my hard drive.

[endfall]

...right. This is a weird one.

The outside is coloured by the log-log of z.

The inside, though, that’s another matter entirely. Heh. The inside of the mandelbrot set is dull. Really dull. You would think, given how splendiferous the boundary is, what with all it’s filigreed shapes and whatnot that the inside would be supercool too, yeah?

“Piss off, ya bloody wanker!” The interior says.

The interior of the mandelbrot set is an old drunk like the archetype of all old drunks, who doesn’t give a good god damn about the showy bastards in their fancy cars and armani suits. It just wants to curl up around a bottle, and perhaps to anonymously drown...

Purple bullshit aside, the interiror is boring. If you leave it by itself, it looks like a vague cloud. Making it interesting requires getting invasive.

This is how you rectify its sorry arse into an interesting structure. One of the ways, anyway.

There is a neato-fucking-schveeto math trick that can take any complex number, and collapse it into the unit circle. Take the number, and divide it by it’s absolute value. Done. I do that to the inside of the mandelbrot set.

Then I multiply that by .255 and subtract 1 from it.

And then... I run that number through 44 iterations of the mandelbrot set.

I do this, because  - look back to the picture - see the biggest circle in the mandelbrot? attached to the bulb that looks like 3?

Great~

The center of that circular area is -1.

The radius is .25

I don’t multiply by .25, though! The radius is .25, which means that all points within .25 of -1 are inside the set. If I ran the numbers, I’d get a boring structure. By choosing .255, though, some points are inside, and some out. And you see bands. Structure! A lush in a tuxedo!

[endfall]

Thought for the Day

A given causal domain has a point defined as the nadir of the gravitational field, which is invariant regardless of speed.

Going to that place makes it not the nadir.

...I’m using “Nadir” to mean “the least mass-distorted segment of spacetime”, so that was pretty tautological, wasn’t it.

[endfall]

Let’s throw a stupid prediction at a stupid dartboard.

Light can warm things like convection; but I’m going to go a bit further and claim that radiation is convection. Wholly. Radiation is what convection looks like when convection when the distance between atoms is large enough that the possibility that photons from the hot element hit the cold one will miss the cold one becomes something reasonable to talk about.

If this is true, then the concept of distance as something other than probabilistic separation is incoherent. If this is true, then, everything in the universe is - in a certain, narrowly-defined sense - touching everything else, constantly.

If this is true, then the fundamental conceptual identity of space is discovered - it’s a map of elements/quanta in exstence against their probability of interacting with each other.

If this is true, the quantization of light disproves at a stroke that space has infinitely fine structure, and is, in fact, an argument in favour of digital physics because an axiom of probability theory is that there is no such thing as zero or 100% probability, but we know that, at a certain distance from a given star, the photons it emits become dilute enough that if you pointed a detector at it, the star would seem to flicker into and out of existence.

Regardless of wheter this rampant speculation on the identity of space is correct, it definitely fails to explain why there are three dimensions.

I need to think this through more. It feels half-correct at most.

[endfall]

Just a drabble of a giant landmass floating in a rainbow-coloured nebula. This is probably right up against the edge of my ability to make original images that don’t look like shite. Should have paid attention in art class all those years ago...

[endfall]

Title: Excessively Psychedelic Mandelbrot

[endfall]

Occaisionally, I pretend that I have design acumen. These are a set of logo proposals that were never ordered, for a studio that doesn’t exist. Middle-left is the one I consider the “best”.

In countries that read RTL, all of those logos should be flipped.

[endfall]

This is an argument that division by zero should be defined. I know. I should know better.

Notation Explanation

ℚ is a way to represent the set of all rational numbers. Those are any number that can be represented as a ratio of integers, so, you know, stuff like 1, 2, 1/2, 5/3, 230485238940/234425, etc. All of them. it doesn’t have things like the square root of two, but it does have the negative numbers, negative fractions, and zero.

To say a number is part of ℚ, you write, for example, 1/2 ∈ ℚ. To say it isn’t, you write, √2 ∉ ℚ. Say you want to take a set of all the number less than one but greater than 0 from ℚ. Then you can say X = {n ∈ ℚ | 0 < n < 1}.

This is read as X is(=) the set({ }) of all numbers n(n) in(∈) the rational numbers(ℚ, the entire phrase “rational numbers”) such that(|) 0 is less than n, which is less than 1.

Note that for this... thing, I’m defining less than and greater than as “closer to 0″ and “closer to ∞” respectively. This is not what they mean in the everyday, where -5 is less than 1, even though -5 is closer to infinity.

Okay. Now you should be able to read everything but that one clusterfuck.

So, new concept. Say you have two sets {1,2,3} and {4,5}. Then, {1,2,3} ∪ {4,5} means “the set produced by the union of the sets {1,2,3} and {4,5}”.

Union means you past the sets together: {1,2,3,4,5}

Minor note: Sets don’t allow duplicate elements. {1,2,3} ∪ {3,4} = {1,2,3,4}.

Duplicate elements merge.

∀(c ∈ [w ∪ y])∀(d ∈ [x ∪ z]) c/d = ∃(m ∈ [w ∪ y]) ʌ ((m ≥ c) v (m ≥ [n * c]))

This means “For all(∀) numbers c in the set produced by the union of the sets w and y, and for all numbers d in the set produced by the union of the sets x and z, c divided by d is some(∃) number m in the set produced by the union of the sets w and y, and(ʌ) either m is greater than c, or(v) m is greater than n * c.”

Euuugh. Notation has it’s uses. Um, minor note, the symbol I used for “either .... or ...” is actually a symbol that means “either ... or ... or both”. Don’t use v unless you actually mean “either ... or ... or both” I used it because for some inexplicable and masochistic reason, I composed this entire thing in paint, and paint doesn’t have the symbol for “either .... or ...”.

For more, read the Book of Proof by R. Hammack - google it, it’s free. He’d probably be annoyed that this post was recommending it.

[endfall]

Phi

A graph about the golden mean.

Not terribly detailed. I’ll probably add a demo of how the fibbonacci series converges or something, but idc enough to polish this.

[endfall]

Another new rendering method. This one iterates the mandelbrot set, then converts the output into a unit vector(formula: z/abs(z)) on the complex plane, multiplies by 0.7, then runs that through 44 iterations of the mandelbrot function. The final result is then passed to the smoothed escape time algorithm. Mainly experimental at this stage, to see if I could get any interesting results. Since I did, I’ll be pursuing this method further. Item one on the agenda is choosing a circle that transitions between set and nonset more frequently than radius 0.7 centered at the origin. Item two is finding a less ugly colouring method scheme.

This image has been post processed by rotating it’s colours such that subtle details are obvious. This alteration is especially apparent atthe green-pink transitions, which were apparently uniformly colours in the original image.

[endfall]

20000!

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[endfall]

This image demonstrates a method for mapping higher-power mandelbrots such that they appear superficially similar to the power 2 mandelbrot.

Show in the image is the quartic mandelbrot.

Howto:

For a zn mandelbrot, set c = c1/(n-1) prior to beginning iteration. Note that this method will not produce the tail on the left for odd n due to odd n multibrots not having such tails anywhere.