10.12.1 Top new questions this week

10.12.1.1 Taxicab Geometry
10.12.1.2 Schrödinger equation for the Morse potential (DEigensystem)
10.12.1.3 Colorbar to illustrate the change of a specific parameter
10.12.1.4 Shading region under (or over) a curve in horizontal bands
10.12.1.5 Expand a 2d curve into a 3d path curve with a fixed axis of rotation?
10.12.1.6 Help in understanding the evaluation inside Plot
10.12.1.7 How do I couple an 1D PDE to a 2D Laplace equation?
10.12.1.1 Taxicab Geometry

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=301628

According to taxicab geometry, there are 1226 possible paths from A(2,5) to B(7,9), all with a distance of 9 units, |2-7|+|9-5|=9. I wanted to write a code where I could be obtaining the plots of some ... 
[plotting] [calculus-and-analysis] [matrix] [geometry] [number-theory]
 
asked by Rubens Vilhena Fonseca https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=21693 Score of 9
answered by creidhne https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=41569 Score of 9
10.12.1.2 Schrödinger equation for the Morse potential (DEigensystem)

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=301621

I have tried to solve the Schrödinger equation for the Morse potential using Mathematica. I am using Mathematica 12, and I have written the following code: 
... 
[differential-equations] [finite-element-method]
 
asked by  . https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=98387 Score of 8
answered by Roman https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=26598 Score of 9
10.12.1.3 Colorbar to illustrate the change of a specific parameter

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=301643

I have plotted a sine function where the period is varied. I have included my code below. 
... 
[plotting] [legending]
 
asked by Bell https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=87379 Score of 7
answered by Syed https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=81355 Score of 10
10.12.1.4 Shading region under (or over) a curve in horizontal bands

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=301525

It seems like this should be simple, but I have spent most of the day trying to find a similar example on the web and there appears to be nothing remotely similar.  Since I cannot find a way to make ... 
[regions] [color] [mesh] [filling]
 
asked by Mike Pugh https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=87869 Score of 7
answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 Score of 4
10.12.1.5 Expand a 2d curve into a 3d path curve with a fixed axis of rotation?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=301738

Given a string of fonts, such as "ABC", give a space line, how to rotate around the line while expanding the string into several curves. 
[plotting] [graphics] [graphics3d] [parametric-functions] [curves]
 
asked by babyK https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=82546 Score of 6
answered by Domen https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75628 Score of 9
10.12.1.6 Help in understanding the evaluation inside Plot

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=301699

My colleague sent me this surprising example of code today (this is after stripping everything unrelated to the evaluation): 
... 
[plotting] [evaluation] [conversion]
 
asked by And R https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5115 Score of 6
answered by Sjoerd Smit https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=43522 Score of 7
10.12.1.7 How do I couple an 1D PDE to a 2D Laplace equation?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=301516

Recently I've come across the following system governing the spreading of an evaporating droplet. The height of the droplet $h$ is defined by the following equation 
$$\frac{\partial h}{\partial t}=-\... 
[differential-equations] [finite-element-method] [finite-difference-method] [fluid-dynamics] [wolfram-physics]
 
asked by FLP https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=87074 Score of 6
answered by Alex Trounev https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=58388 Score of 3