This post was my response to someone who attempted to sketch out on graphing paper a system of sigils intended to manipulate mental or psychic energy. They were attempting to code and program with sigils. I wrote: It looks like you attempted to create a psychic circuit or cycle. It is very clumsy…Before I start, it is crucial that you correctly understand what circuits are. A circuit is: Traversing a graph such that not an edge is repeated but vertex can be repeated and it is closed also i.e. it is a closed trail. The second thing you should understand Read More

## Tag: Topology

## Magic Always Has a Price

Debates around morality and ethics are frequent discussions in occult and magical communities. These arguments are so common that some occult communities forbid arguments and discourse on magic that appears to violate a person’s agency. Some rules ban working magic on someone without their consent, albeit it is unenforceable strictly from the perspective of being a rule of a platform. Enfolded into these conversations is whether magic has rules or if karma exists. Examples are arguments about whether people should or should not use magic to curse people or influence people such as to coerce or negate their ability to Read More

## Chaos VI: Chaos and the horseshoe

First, an old idea by Henri Poincaré (1854-1912): when studying a vector field in space, we can sometimes find a small disc that the trajectories hit repeatedly. Studying the points on the disc where the trajectories pass through is often a lot simpler than studying the vector field as a whole. We go from dynamics in continuous time to dynamics in discrete time.

## Do Black Holes Create New Universes?

Physicists have been struggling for some time to figure out why our universe is so comfy. Why, for example, are the fundamental constants – like the mass of the electron or the strength of the forces – just right for the emergence of life? Tweak them too much and life, stars, galaxies, the universe as we know it wouldn’t exist.

## Higher dimensions get really weird…

This video covers a range of what shapes and properties you’d encounter in higher dimensions.

## What is Magic?

This is another discussion online that I decided to curate since this question pops up a lot. This one was a discussion I was involved in on Reddit. The original thread can be found here. Karaoglanlar wrote: …It made me wonder if magic is real at all, with real I mean if it is possible to use your willpower to produce supernatural effects. It also made me wonder if all the deities and demons modern occultists describe are real external entities or just part of the practicioner’s psyche which he or she ‘summons’ through psychological exercises. So what I’m wondering Read More

## Associahedra: The Shapes of Multiplication

What happens when you multiply shapes? This is part 2 of our episode on multiplying things that aren’t numbers.

## The Multiplication Multiverse

Multiplication of numbers is an associative property and we can make sense of “multiplication” between things that aren’t numbers but that’s not considered as associativity.

## Telling Time on a Torus

What shape do you most associate with a standard analog clock? Your reflex answer might be a circle, but a more natural answer is actually a torus. Surprised? Then stick around.

## Gephi

Gephi is an open-source software for network visualization and analysis. It helps data analysts to intuitively reveal patterns and trends, highlight outliers and tells stories with their data. It uses a 3D render engine to display large graphs in real-time and to speed up the exploration. Gephi combines built-in functionalities and flexible architecture to: explore, analyze, spatialize, filter, cluster, manipulate, export. Gephi is based on a visualize-and-manipulate paradigm which allow any user to discover networks and data properties. Moreover, it is designed to follow the chain of a case study, from data file to nice printable maps.

## Simplicial Complexes: Part 2

Last episode we saw that your neural network can be modeled as a graph, which — we’ll show in this episode — can be viewed as a higher-dimensional simplicial complex. So… what is a simplicial complex??

## Your Mind Is Eight-Dimensional: Part 3

## Unraveling DNA with Rational Tangles

When you think about math, what do you think of? Numbers? Equations? Patterns maybe? How about… knots? As in, actual tangles and knots?

## Cosmic Queries: Time and Higher Dimensions

Wormholes, hypercubes, Flatland, and more – Join Neil deGrasse Tyson as he explores time and higher dimensions with comic co-host Harrison Greenbaum and mathematician John Allen Paulos. To start off, Neil explains the concept of a fourth spatial coordinate. Then, our trio compares our knowledge of a possible 4th dimension to the Flatlander’s knowledge of the 3rd dimension in Edwin Abbott’s book Flatland. Ponder the idea that we’re prisoners of our three-dimensions, echoing the shortcomings of Abbott’s two-dimensional beings. You’ll also investigate the film Interstellar and its use of wormholes and the 5th dimension. Physicist James Kakalios, returning guest and Read More