10.2.1 Top new questions this week

10.2.1.1 Envelopment of space curves
10.2.1.2 How can I get samples of f(x) that are roughly evenly spaced?
10.2.1.3 Do I need a paid OpenAI account to use the LLMFunction?
10.2.1.4 There's a nice 3D graph in the help file of the Plot3D function. How can I reproduce it?
10.2.1.5 ScreenResolutionCompatibilityMode not working in version 14 on Windows 11
10.2.1.6 Anti-diagonal matrix with alternating signs
10.2.1.7 Select twins from a list of triples
10.2.1.1 Envelopment of space curves

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=296409

In their answers to 
Creating sculptural forms 
The respondents showed how to envelop space curves with a net-like structure. I used kglr's answer to create the following function: 
... 
[plotting] [graphics3d] [color] [geometry]
 
asked by eldo https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=14254 Score of 9
answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 Score of 11
10.2.1.2 How can I get samples of f(x) that are roughly evenly spaced?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=296395

I am looking for an efficient way of getting 60 to 80 samples of an arbitrary f(x) such that the distance between adjacent samples are approximately equal. My first attempt is based on a first order ... 
[performance-tuning] [algorithm] [approximation]
 
asked by Ted Ersek https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=460 Score of 9
answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 Score of 14
10.2.1.3 Do I need a paid OpenAI account to use the LLMFunction?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=296455

I tried using the  LLMFunction  in Mathematica 14.0 using e.g. the example given in its documentation. 
Before this, I logged into my Wolfram account as suggested by @... 
[llm] [llmfunction]
 
asked by divenex https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=41148 Score of 8
answered by Nasser https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=70 Score of 8
10.2.1.4 There's a nice 3D graph in the help file of the Plot3D function. How can I reproduce it?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=296405

I find the two graphs (see below) in  Plot3D 's help page elegant and appealing. How can I reproduce it? I read the whole help page but didn't find how the graphs ... 
[plotting] [graphics] [graphics3d] [plot-themes]
 
asked by Frank https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=78077 Score of 7
answered by kirma https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=3056 Score of 16
10.2.1.5 ScreenResolutionCompatibilityMode not working in version 14 on Windows 11

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=296315

I'm facing a problem with the relative scale of fonts and controls in Mathematica. In version 14, the  ScreenResolutionCompatibilityMode  (in CTRL+SHIFT+O settings) ... 
[front-end] [scaling] [magnification] [version-14]
 
asked by Kirill Belov https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=38236 Score of 7
10.2.1.6 Anti-diagonal matrix with alternating signs

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=296487

I am having trouble modifying the code below so that the sign of the  x  alternate. That is, from the upper right corner it should read ... 
[list-manipulation] [matrix]
 
asked by Morcus https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=77718 Score of 6
answered by flinty https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=72682 Score of 6
10.2.1.7 Select twins from a list of triples

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=296471

 list = 
{{1, 1, 1}, {1, 2, 3}, {1, 1, 2}, {1, 2, 1}, {2, 1, 1}, {2, 3, 2}, {4, 5, 6}}; 
 
To select sublists containing two equal elements ("twins") I ... 
[list-manipulation] [matrix]
 
asked by eldo https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=14254 Score of 6
answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 Score of 6