10.18.2 Greatest hits from previous weeks

10.18.2.1 How to create effect like Van Gogh's stroke brush?
10.18.2.2 Get a "step-by-step" evaluation in Mathematica
10.18.2.3 How to ask Mathematica to imitate Andy Warhol's pop-art painting?
10.18.2.4 What does # mean in Mathematica?
10.18.2.5 How do I plot $x^2+y^2=1$ in 3D?
10.18.2.6 How do I draw a pair of buttocks?
10.18.2.7 What is the equation to plot a vertical line?
10.18.2.1 How to create effect like Van Gogh's stroke brush?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=39003

I need to apply Van Gogh's stroke brush effect to a random image 
Take the following image as an example: 
 
Thank you so much if you could help! 
[image-processing] [code-request] [generative-art]
 
asked by user10495 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=10495 Score of 34
answered by Simon Woods https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=862 Score of 53
10.18.2.2 Get a "step-by-step" evaluation in Mathematica

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=148

Is it possible in Mathematica to get a step-by-step evaluation of some functions; that's to say, outputting not only the result but all the stages that have led to it? If so, how does one do it? 
 
... 
[evaluation] [interactive] [faq]
 
asked by Cydonia7 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=44 Score of 146
answered by J. M.'s missing motivation https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=50 Score of 120
10.18.2.3 How to ask Mathematica to imitate Andy Warhol's pop-art painting?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=59132

I tried to ask Mathematica to imitate Andy Warhol, let it convert a Marilyn Monroe's portrait so that it looks like Warhol's world famous pop-art painting. However, the result shown below is far from ... 
[image-processing] [generative-art]
 
asked by Putterboy https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=16069 Score of 53
answered by Dr. belisarius https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=193 Score of 68
10.18.2.4 What does # mean in Mathematica?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=19035

I asked Mathematica to compute the following 
 
 Solve[c (1-x)^2-x^(1/4) == 0, x] 
 
 
and it returned this: 
x = Root[#1^8 c^4 - 8 #1^7 c^4 + 28 #1^6 c^4 - 56 #1^5 c^4 ... 
[syntax] [core-language]
 
asked by ronanymous https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5730 Score of 51
answered by Dr. belisarius https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=193 Score of 80
10.18.2.5 How do I plot $x^2+y^2=1$ in 3D?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=10710

How would I plot $x^2+y^2=1$ in 3D (it would form a cylinder)? Since there is no $z$ in the equation, I can't solve for it and use  Plot3D . Or can I just put the ... 
[plotting]
 
asked by diracdeltafunk https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=2282 Score of 7
answered by Mark McClure https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=36 Score of 14
10.18.2.6 How do I draw a pair of buttocks?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=66538

I'm trying to develop a function which 3D plot would have a buttocks like shape. 
 
Several days of searching the web and a dozen my of own attempts to solve the issue have brought nothing but two ... 
[plotting] [graphics3d] [generative-art]
 
asked by Simpleton Jack https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=22399 Score of 355
answered by mikuszefski https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=7608 Score of 556
10.18.2.7 What is the equation to plot a vertical line?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=59476

Please help. Trying to find area between three curves,  e^-x, x = 2, y = 1 . Can't find out how to plot  x = 2 . Don't want to use <... 
[plotting] [calculus-and-analysis]
 
asked by Cory https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=19717 Score of 7
answered by Basheer Algohi https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=13548 Score of 13