Full Musical Version: youtu.be/WM3b_1SiXX0

#Nilgeometry

Crocheted purple Caterpillar with gray antennae and brown eyes and mouth, hand for scale.

Crocheted by my 10 year old for my 4 year old.

#crochet #siblings

Carving out a Hex-Maze

#codeart

I then multiply the horizontal and vertical component to get the variation area .

The reciprocal of that multiplied by mass and and a constant g is what I use as force value.

4/

For horizontal variation we get a common rotation around the z-axis. So I calculate the absolute value of the horizontal component of gamma and divide that by cos(theta) (because for a rotation by a certain chord length s we have angle~s/cos(theta) )

3/

Gauss's law implies the force is reciprocally proportional to the infinitesimal area you get from varying the direction of the geodesic while leaving the distance constant.

For the vertical component of this area I calculate |dgamma/dtheta|.

2/

My handwritten calculations(explained in main text)

Let's talk about the math of Nilgeometric Gravity!

Gravitational Forces point along Geodesics. In Nilgeometry these are helixes. (gamma at the top of my notes)

But how strong should the force be?
1/

No, my kid just solved them corner to corner.! 😉

Gravitational Balls disappearing in the distance...

#Nilgeometry

Let me show you my Algorithm at work!

#creativecoding #maze

Gravitational Balls disappearing in the distance...

#Nilgeometry

#mathsky #nilgeometry #physicssim

A Tale of Two Planets Two Twin Planets orbit the cooler of binary stars.On the top we see the temperature chart of the green planet, below of the cyan planet.On the Cyan Planet we...

youtu.be/KP9zQ0fMX_c

#creativecoding #evolution

Maze carved from triangular grid colored with rosy gradients

Maze carved from a finer triangular grid colored with rosy-yellow gradients

Maze carved from very fine triangular grid colored with rosy-yellow gradients

Maximal Distance Coloring in Trig-Maze

#mathsky #nilgeometry #physicssim

In Euclidean Spave a big mass Tages the shape of a sphere, because Spheres are surfaces of constant gravitational potential.
But in NIL-Space Equipotential Surfaces (left) and Spheres (right, equidistant to center) are not the same...
But is that how my masses should look like?

#mathsky

Coloring the Distance- Trigonal Edition

#maze #triangular

In Euclidean Spave a big mass Tages the shape of a sphere, because Spheres are surfaces of constant gravitational potential.
But in NIL-Space Equipotential Surfaces (left) and Spheres (right, equidistant to center) are not the same...
But is that how my masses should look like?

#mathsky

Simulating a Planet evolving Vegetation We look at the heat map of a planet. In the beginning it is too hot for plants to thrive but when the planets orbit shits farther from its main star several ...

youtu.be/fMEfCAb_POA

#evolution #creativecoding

Maze generated on a trianglegrid

A bigger maze from a finer grid.

Obvious next step?

Happy #tilingtuesday to all who celebrate!

#triangular #maze

Gravity Simulation in Nilgeometry. The camera moves as one of the masses.

#mathsky

Gravity Simulation in Nilgeometry. The camera moves as one of the masses.

#mathsky

what if I put the camera on one of the bodies, then let the Nilgeometric n-body problem run? 🤔
#mathsky

what if I put the camera on one of the bodies, then let the Nilgeometric n-body problem run? 🤔
#mathsky

Shifting through the Hexagon Maze...

Full Musical Version: youtu.be/nkEDnBQr4aI

#creativecoding #maze

Full Nilgeometric Gravity Video: youtu.be/c7pRi-SMFsk

Initially there are 1000 masses affecting each other. If they collide they merge into a bigger mass.

The huge object covering the screen is not that big but close to conjugate to the camera, where things look as if they're right in your face.

In Nilgeometry perspective matters.

n-Body Problem viewed in z-direction

#mathsky

Self-rendered maze printed out with paths crayoned in with different colors.

Self-rendered hexagonal maze printed out with paths crayoned in with different colors.

Collab with my 5yo. 😁

#maze #parenting

In Nilgeometry perspective matters.

n-Body Problem viewed in z-direction

#mathsky

Nilgeometric n-Body Problem

#creativecoding #mathsky