12.13.2 Greatest hits from previous weeks

12.13.2.1 How to add a vertical line to a plot?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=3561

In the plot below I would like to add two vertical lines at $x = \frac{\pi}{15} \pm \frac{1}{20}$. 
How can I do that? 
 
... 
[plotting]
 

asked by sjdh https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=515 Score of 88

answered by Ajasja https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=745 Score of 103

12.13.2.2 Extract real part of a complex expression better than Re does

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=3306

I have a complex expression with real positive variables only. 
 
Mathematica Input Style: 
 
... 
[symbolic] [trigonometry]
 

asked by max https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=796 Score of 42

answered by nixeagle https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=814 Score of 64

12.13.2.3 Assign the results from a Solve to variable(s)

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=6669

I understand Mathematica can't assign the results of a Solve to the unknowns because there may be more than 1 solution. How can I assign the 4 values of following result to variables? 
... 
[equation-solving] [assignment] [faq]
 

asked by stevenvh https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1450 Score of 65

answered by Artes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=184 Score of 40

12.13.2.4 How can I draw the Olympic rings with Mathematica?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=8885

How can I draw the 5 interlocking Olympic rings with Mathematica? 
(SVG version) 
Edit 
 
Hard choice, but some pretty cool answers here. I didn't have 3D answers in mind when I posted the question, but ... 
[graphics] [generative-art]
 

asked by Mike Honeychurch https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=77 Score of 48

answered by cormullion https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=61 Score of 23

12.13.2.5 How to manipulate 2D plots?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=7142

When it comes to visual analysis, large datasets or data with intricate internal details often makes plotting in 2D useless, as the outcome is either just a fraction of the full dataset, or no details ... 
[plotting] [graphics] [dynamic] [gui-construction]
 

asked by István Zachar https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=89 Score of 147

answered by István Zachar https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=89 Score of 167

12.13.2.6 Image processing: Floor plan - detecting rooms' borders (area) and room names' texts

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=19546

Here is a simple building floor plan. I would like to derive the rooms as (rectangular) components and the names of the rooms. This is very common representation of building floor plans. 
 
The problem 
 
... 
[image-processing]
 

asked by s.s.o https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=840 Score of 67

answered by Niki Estner https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=242 Score of 63

12.13.2.7 Is it possible to export the equations from Mathematica to MATLAB?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=14035

Is it possible to export the output expressions from Mathematica computations (e.g., equations) in valid MATLAB syntax? 
[export] [matlab]
 

asked by Seyhmus Güngören https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4256 Score of 47

answered by rm -rf https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5 Score of 51