OctoVsHeptaPolar

Blogpost/More Images/Code: https://blog.illestpreacha.com/mathober2025jacobian

#mathart #mathober2025 #mathober23 #Jacobian #mathober #mathober8 #Octagonal #Heptagonal #livecoding

For my 8th sketch of Mathober2025 (curated by @fractalkitty ) coded in #LiveCodeLab, OctoVsHepta takes the prompt of “Octagonal/Heptagonal” and showcases side by side, a figure that has 8 sides to it and another that has 7 and how they slightly differ.

For My 24th Sketch of Mathober2025, I used the same images and added a polar distortion. Which follows the 23rd prompt of Jacobian as the Jacobian matrix is involved with cartesian coordinates to polar coordinates.

#Poetry

Octagonal with slightly more
Heptagonal with slightly less
Similar in the creation process
But differences can be seen as the time soars

#creativecoding #coding
#newmedia #scifi #animation
#math #geometricart #geometry #3d

We got started with a workshop on #noncommutative #geometry and #topological #recursion yesterday. 📐Stay tuned on our website 🚩 www.esi.ac.at and on our YT Channel: https://www.youtube.com/channel/UCUHyfvOFOuaUumnWaVrtfaQ/videos

This tweet is a joint work with Carlos I. Pérez Sánchez, a workshop participant and Junior Research Fellow at ESI, we thank him for his cooperation. We are also grateful for his helping out with the operation of the video streaming equipment in the lecture hall.

On the first photo, Margarida Melo from @UnivRoma3 is holding her talk on the #tropicalisation of the universal #Jacobian. Her talk is already online on our YouTube Channel. 📹 (24th April 2023)

Another successful workshop has come to an end. 🎉 We thank you for your visit and hope to see you soon! (28th April 2023)

Check out all recordings of this workshop now on our YouTube Channel ⤵️
https://youtube.com/watch?v=P5HPgbLZXns&list=PLjvY6sC_0lhIut4M_Z3hlrfEb7HgLJEh3 (11th May 2023)

@univienna

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The Erwin Schrödinger International Institute for Mathematics and Physics, founded in 1993 and part of the University of Vienna since 2011, is committed to the promotion of scholarly research in mathematics and physics. In the beginning its focus was on mathematical physics and mathematics and it has gained an international reputation in these fields of research. Over the years, the thematic spectrum of its scientific activities has been carefully extended, while maintaining high scientific standards. Recently, the ESI has enlarged its fields of competence to include theoretical, computational and experimental aspects of mathematics and physics. It is the Institute’s foremost objective to advance scientific knowledge over broad ranges of fields and themes in mathematics and physics, with an emphasis on the interface between them.

YouTube

I recently set a task for a student to explore the replicator dynamics for a 3-strategy, 2-player game in #python. You can find a blog post about it here:

https://nadiah.org/2022/11/29/replicator-numerical

#GameTheory #ReplicatorDynamics #Jacobian #evolution #modelling #example

Example numerical analysis of replicator dynamics with more than 2 strategies

Recently, I set a task for a student to use Python to analyse the replicator dynamics of a game with three strategies, including using the Jacobian to determine the stability of the steady state. The purpose of this blog post is to share the solution in case that’s useful to someone.

Nadiah Pardede Kristensen
I thought about writing a thread on the wedge product and how it can make your life easier if you ever need to derive a #Jacobian determinant, but this feels like it needs a blog post.
Watch "Where does the #Jacobian Matrix come from? 2 different answers/perspectives" on YouTube - https://youtu.be/ZWJb_fkl0fY
Very cool
Where does the Jacobian Matrix come from? 2 different answers/perspectives

YouTube
The joys of the Jacobian - Chalkdust

Robert Smith? tells us how his favourite matrix saves lives

Chalkdust
The joys of the Jacobian - Chalkdust

Robert Smith? tells us how his favourite matrix saves lives

Chalkdust
https://math.stackexchange.com/questions/3713960/eigenvalues-of-jacobian-of-mandelbulb-triplex-power-formula
I asked a question about #Mandelbulb #Jacobian #Eigenvalues because I got stuck and #SageMath wasn't helping by spewing thousands of lines of formulas that I struggled to persuade it to simplify.
Eigenvalues of Jacobian of Mandelbulb "triplex" power formula

I'm trying to find a lower bound for the distance estimate of the Mandelbulb fractal, or at least justify why using the scalar-derivative for distance estimation is so effective. The Mandelbulb it...