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

## Tag: Topology

## Talisman of Focusing Rings Conceptual Fields, Atomic Concepts, and Energy Flow

So, this is a complex sorcerous talisman of mine. With talismans, the symbols act as conduits. The power comes from the entities (in this case psychic objects) associated with the representation. It’s a talisman of rings that defines a domain that acts as a loci for Experience, Perception, Awareness, Formation, Desire, and Fantasy so that psychic power resonates and is amplified. Those concepts comprise the nodes of the outer ring and the lines throughout the talisman are a mapping of the psychic forces from those concepts – it acts as a vector of psychic forces. Since this is also a 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

## 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