11.16.1 Top new questions this week

11.16.1.1 Counting the number of triangles inside the given figure
11.16.1.2 Filter list of sublists
11.16.1.3 Generating natural structures with Mathematica
11.16.1.4 Understanding difference between    a    /.  x_  :> q[x] and    a    /. List -> q
11.16.1.5 *.STL files from using IMPORT command are not passing SolidRegionQ test
11.16.1.6 How to use image generation models like GPT-Image with ChatCell?
11.16.1.7 How to handle general recursive equation
11.16.1.1 Counting the number of triangles inside the given figure

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=312491

I met this question at MSE: Counting the number of triangles inside the given figure. 
 
I'm wondering how to use Mathematica to solve the problem. 
This post does help, what about general figures? Any ... 
[image-processing] [geometry]
 
asked by Ahamad https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=106668 Score of 10
answered by Bowerbyte https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=108106 Score of 14
11.16.1.2 Filter list of sublists

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=312531

For a set of sublists (integer) I'm looking for a simple way to find 
 
all values which depend only to one sublist 
pairs of values which depend on two sublists 
 
example 
... 
[list-manipulation]
 
asked by Ulrich Neumann https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=53677 Score of 6
answered by Erosannin https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=73763 Score of 4
11.16.1.3 Generating natural structures with Mathematica

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=312561

I am interested in Fomes Fomentarius or "Tinder Polypore" mushroom patterns 
(original photo, diagrams of Voronoi and Delaunay): 
 
At first it seems something simple, like a sunflower seed ... 
[differential-equations] [numerical-integration] [physics] [geometry] [cellular-automata]
 
asked by lesobrod https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5950 Score of 5
11.16.1.4 Understanding difference between    a    /.  x_  :> q[x] and    a    /. List -> q

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=312524

Following Shifrin's "Mathematica Programming: an advanced introduction", pp. 93-94, 
I entered 
 {{{a}}} /. {x_} :> q[x] 
 
and I got, as expected by the ... 
[replacement]
 
asked by bobina bidon https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=108100 Score of 5
answered by Domen https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75628 Score of 5
11.16.1.5 *.STL files from using IMPORT command are not passing SolidRegionQ test

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=312474

My goal is to create models in CAD or similar software and importing into MMA for analysis.   I have created *.STL files using Blender, FREECAD, GMSH, etc..  none of them pass the SolidRegionQ test to ... 
[import] [opencascade] [stl-format] [importing-data] [solidregionq]
 
asked by SAK https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=98360 Score of 5
answered by user21 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=18437 Score of 6
11.16.1.6 How to use image generation models like GPT-Image with ChatCell?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=312468

I have access to GPT Image 1 model though my api key in the service connector: 
 
But the ChatCell fails out in "raw" mode: 
 
How are we supposed to use this, can someone provide an example for ... 
[image] [llm]
 
asked by eb1423 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=105815 Score of 4
11.16.1.7 How to handle general recursive equation

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=312514

I am trying to figure out how to implement a Lagrangian where one of the constraints is a recursive function. Let me give a super simplified example: 
Consider the following recursive function: 
... 
[recursion]
 
asked by GioCav https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=108094 Score of 3
answered by Michael E2 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4999 Score of 4