Couple o' li'l Spectre doodles.
Gotta be the sweetest girl who ever died.
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Hey so you remember this thing that everyone on mathblr got excited about recently?
This is the hat, and it's what's called an "aperiodic monotile". This means that no matter how you arrange copies of this tile, you can never get an arrangement that will repeat infinitely (think of it like the irrational numbers of tilings). This was big news in mathematics as while sets of more than one tiles have been found that are aperiodic (e.g: The Penrose Tiles), this was the first tile that's aperiodic by itself, hence "monotile". (There are some caveats to this but that's not important for understanding this post)
However.
If you look at images of the hat tiling, you may notice something.
If you look at the tiles labled 1 and 2, you'll see that one's a reflected copy of the other. In fact, any infinite arrangement with hats requires you to you mix unreflected and reflected tiles. Which raises the question: is it possible to have an aperiodic monotile that doesn't need reflections?
Presenting the Spectre, A chiral aperiodic monotile.
Using only translation and rotation, any arrangement of copies of this tile will never repeat.
Mathematically speaking, this is really fucking cool.
The paper on it is still in preprint, but hopefully I won't need to retract this post. A copy of it can be found here and a post going into some more details of how the shape was discovered is here.
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Fourth entry for orctober, a spectral monk!
Prompt list from quihnn
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William Blair Bruce (Canadian, 1859-1906) - The Phantom Hunter (1888)
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Style is spectrum
A small thing about style topic. Some personal stuff below!
I could never figure out which I like more: messy sketchy lines or clean shapes? painting or drawing? realistic or over-stylized? It's possible to make up an abyss of styles! For me a style is a part of a story/feeling a drawing shows, so I'll never can choose only one.
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Easy tiger, at least take a ghost to dinner, first.
Last commission of the year!
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Cold villains. Elegant, refined, maybe, with disinterested eyes and icy composure. Their breath makes a shiver run down your spine, their freezing fingers following the curve of your neck. The coldness is almost, IS inhuman. A ghost of the past come to haunt you for eternity. A vampire, come to steal the life from your veins and the vigor from your step. A victim of scientific experiment gone horribly, horribly wrong.
Vs
Hot villains. Temperamental, wild, feral, full of barely contained desires and unquenchable rage. Their eyes spark and burn and blaze with all the things they want to do. Are they made of fire, or are they just full of energy? Sweaty and passionate and involved. They would never sit from the sidelines. Their very touch leaves blackened ash in the wake. They are so very angry, and will not back down, even if it might be wiser to.
Which do you prefer?
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Deso Tevvitus, Citadel Special Tactics and Reconnaissance
Yet another First-Contact-War-era character of mine who has become a bit of a brainworm. Was this just an excuse to draw another turian? Why, no! Of course not!
Yes. Yes it was.
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