Silas ΘΔ
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twilightowlchemy.com
Silas ΘΔ
@twilightowlchemy.com
Some Sundials work best at Twilight ⨁

Ask me about my 80 consecutive Primes
My mathematics and science have reached seriously high heights since I took a break!

Ask me about any of my work!

Ballistic Plating, Mathematics, Physics, anything at all!
July 9, 2025 at 12:21 PM
Ugh i guess that means I have to move my work over here then huh
April 16, 2025 at 7:34 AM
Lucy is the reason I won a game of Jeopardy in middle school.

Last question on the board, down by a couple thou.

Daily Double, Last question, All the points.

"Whats the name of this fossil"

Me, afterwards : 🤯
April 16, 2025 at 7:34 AM
Tools used to accumulate the knowledge below.

Number Theory
Geometry
Complex Analysis
Combinatorics
Group Theory
Cryptography Theory
Symbolic Algebra
Mathematical Philosophy
Recursive Mathematics (🦉)
Youtube
Desmos
Wolfram Alpha (So, so much wolfram alpha, Thanks dude)
April 16, 2025 at 6:03 AM
What's absolutely wild, is you can ALMOST, resolve a Pentagon, and you can ALMOST, resolve a Hexagon, with /both sets of these shapes/.

They both sit in-between what we know as "real"
April 16, 2025 at 6:03 AM
This is a picture of the one of the famous "Penrose Tiling's" It can /only/ tile the plane /non periodically/

Very cool stuff.
April 16, 2025 at 6:03 AM
This is a relativity thing, also tying to Penrose Tiling.

You can't tell where you are within this grid, nor which axis is the correct 90 degree axis in comparison to another observers frame.

"A big ball of wibbly wobbly, timey wimey stuff" ~ Dr. Who, 5, or 11, or 10.
April 16, 2025 at 6:03 AM
When you draw out axis lines, following the 90 degree angles, and then attempting to resolve the other axis, you can't.

This, in 3 dimensions, would only have 3 valid axis. The rest is noise. (Life)
April 16, 2025 at 6:03 AM
This is a complex iteration of the Conway Triangle pairing. Fractal like in it's zoom characteristics, but also finite within its single shape.

Organized, and Chaotic
Random, and Structured
Real, and Mythical.

With enough resolution? You can draw anything with this format.
April 16, 2025 at 6:03 AM
All of those tiles? They tile the plane, hard.

But particularly interesting is shape 3. I can't resolve that one in my head.
April 16, 2025 at 6:03 AM
Look this seems like simple stuff, I know. I know.
This is called the Conway Triangle Pairing. (Thank you Conway)

These are the only shapes that can be created from the critical half geometry from the framework.

The offset at 26.565 comes from this shape exactly.
April 16, 2025 at 6:03 AM
Lemme be SUPER clear for the cryptographers in the back worried about Primes being evenly distributed?

They are not. They are interference patterns that are unpredictable at cryptographic scales. (we safe👍)
April 16, 2025 at 6:03 AM
This means that the Prime Number lattice is based on a different coordinate system that only appears when the square complex plane and this new complex plane meet.

This is complex, but predictable with large enough computation.
April 16, 2025 at 6:03 AM
The Riemann Zeta function lies on the critical line.

This line is designated in geometry by drawing a rectangle on the complex plane, with coordinates 2 high, and 1 coordinate right, sitting at exactly at √5 radius from origin. (√5, ϕ, 1/2, √2, π, e, 26.56505 degrees; all encoded)
April 16, 2025 at 6:03 AM
Silas ΘΔ on X: "TOE on Pi day :)" / X
TOE on Pi day :)
x.com
March 15, 2025 at 11:36 PM