Tag Archives: Tetraverse

Discovered more than invented

Is Math invented or is it discovered? Is Math a human, or at least biological construct that helps mammals understand the world we live in? Or does it exist inherently in the universe and is it revealed to us through curiosity and scientific discovery?

I’ve shared my fascination in playing, learning, and discovering secrets held in Geometry (here and here) with Joe Truss.

Recently I watched a video that quoted Galileo Galilei:

“Mathematics is the language with which God has written the universe.”

With everything Joe and I have been playing with, I thought of an adaptation of this quote:

The universe is written in the language of geometry, and Mathematics allows us to measure it.

When I shared this with Joe, he tweaked it:

The universe is written in the language of geometry, and Mathematics allows us to take its measure.

I like this because it speaks to the idea of Math being discovered, of it being inherent because it is present in the geometry. It is Geometry that is the underlying language. Math is the alphabet, the universe is written in geometry. This is why Pi pops up where you don’t expect it; why the Fibonacci sequence is prevalent in nature; why we can land a ship on the moon and Mars; and even why our religious symbols come out of geometry.

The challenge we have is that we don’t fully understand the geometry, sometimes rather than discovering the true essence of the mathematics, we have to invent approximations that help us make sense of universe. Understand the geometry and maybe we can remove infinities and irrational numbers in our calculations… Understand the geometry, and the math becomes more accurate. Understand the geometry and maybe we can unify our theories that currently seem to contradict themselves.

Discover the geometry and we discover the math behind it, no longer needing to invent approximations of the math to translate the geometry into a world of calculations and numbers that don’t quite fit with they universe we are trying to describe. When we discover the geometry, we no longer needs to invent Math, the geometry allows us to take its measure… And in fact we can explain the universe with the geometry, and then we don’t have to be a physicist or mathematician to understand it.

Playing with geometry (again)

I’ve already shared that I’m playing with geometry a lot with Joe Truss. We met on Zoom today and talked about living in a ‘Tetraverse’, a universe that is built on the structure of a tetrahedron.

Today we spoke about how this Tetraverse would (and does) affect gravity and wheels spinning on axis. Then I went back to my magnetic ball and rod 8-frequency tetrahedron that I built a few weeks back and played some more. It’s late and I’m not going to try to do a synopsis of the intricate patterns I saw. What I do want to say is that it’s fun to play in a space where I am constantly learning both by being taught and by discovery.

It’s amazing what we can learn through play.

Playing with geometry

The image below is a blue cube octahedron with each triangular face forming a tetra-octa-tetra pattern coming out from the center.

This is a tetra-octa-tetra, with two yellow tetrahedrons on opposite sides of an octahedron:

I’m fascinated by these shapes thanks to my uncle, Joseph Truss, who has been playing with these shapes for decades, and who believes the fundamental building blocks of our universe is the tetrahedron. We live in a ‘Tetraverse’.

But the geometry he describes goes far beyond this. He intuitively understands the underlying structure of the universe through geometry in a way that mathematical physicists understand it through math.

Watch this 28 minute movie, Hacking Reality. It gets to some of the topics Joe and I discuss. I really think he’s on to something some of the smartest physicists in the world are still trying to figure out… but he’s done it purely by playing with geometry, and visually/intuitively making sense of how shapes are formed and come together.

Mind blowing conversation

Two of the smartest people I’ve ever met are my uncle and my dad. Last night I sat with my uncle until 4am, and he broke down the origins of the Enneagram… not the personality types attached to it later, the actual origins of the symbol.

Basically, there is a 3-dimensional geometric shape that the enneagram, traditionally shared as a flat, drawn image, is derived from. He basically shared a mind-blowing fact that has essentially been ‘lost knowledge’ since before George Gurdjieff (1866-1949), “a Armenian philosopher, mystic, spiritual teacher, and composer of Armenian and Greek descent, born in Alexandropol, Russian Empire (now Gyumri, Armenia)” (Wikipedia) introduced this symbol to western culture.

Seeing the 3-dimensional origins of the image ‘unlocks’ some sacred geometry that is lost, or rather not available to be seen, in the 2-dimensional enneagram. My uncle has shared this with me before, but I couldn’t conceptually ‘see’ what he saw, and understand the underlying geometry. Last night I made a video of him sharing this lost secret.

The video needs a bit of editing, and I want him to share it on his own YouTube channel, not mine, but look for it to be shared soon. It’s not often you get to see an answer to a question asked and unanswered for over 100 years, but my uncle has ‘discovered’ the 3-dimensional origins of the enneagram!