7.7.1 Top new questions this week

7.7.1.1 How to create a spiral using Golden Triangles

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=239914

Working with students in a pre-calculus class, an application of the sine law. 
They are working on a question that has them create a Golden Triangle (A golden triangle is an isosceles triangle in ... 
[graphics] [manipulate] [geometry] [recursion]
 

asked by Tom De Vries https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=721 14 votes

answered by J. M.'s ennui https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=50 14 votes

7.7.1.2 How to modify default options of Dataset

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=239960

I try to make a dark stylesheet based on the  ReverseColor  theme. However, dataset headers are barely readable. 
 
This question is related to others such as 
Question ... 
[output-formatting] [color] [dataset] [customization] [stylesheet]
 

asked by Vly https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=47700 9 votes

answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 8 votes

7.7.1.3 How to use Filling in PolarPlot?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=239946

For example: 
 PolarPlot[{1, 1 + 1/10 Sin[10 t]}, {t, 0, 2 Pi}] 
 
how to fill color in the space between 2 functions? 
[plotting]
 

asked by DORA https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=74396 8 votes

answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 11 votes

7.7.1.4 How to reduce timing to find the integer numbers a, b, c, d, e, f, g, h, k, m of this equation?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=239874

I use by hand to get this result 
$$\sqrt{48+5 \sqrt{3}+\sqrt{27+4\sqrt{3}+\sqrt{12+3 \sqrt{3}+\sqrt{4+2\sqrt{3}}}}}=1+4 \sqrt{3}.$$ 
... 
[equation-solving]
 

asked by minhthien_2016 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5320 7 votes

answered by yarchik https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9469 6 votes

7.7.1.5 How to extract a column (or a row) of a matrix as another column vector/ column matrix (or a row vector), not as a list?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=240123

Suppose I have a matrix 'mat' as 
 mat = Table[Subscript[m, i, j], {i, 5}, {j, 5}]; 
mat // MatrixForm 
 
I want to extract the first column (or any row) as 
... 
[list-manipulation] [matrix]
 

asked by PoreyS https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=54258 6 votes

answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 6 votes

7.7.1.6 Intuitive explanation of RemoteBatchSubmit[] in AWS for total novices?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=240149

When I read Wolfram's post about the new features in MMA 12.2 I was intrigued by RemoteBatchSubmit[]. He wrote: 
 
I have only ever used MMA from my laptop, and never used any other cloud computing or ... 
[high-performance-clusters] [amazon-web-services]
 

asked by TumbiSapichu https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=53229 6 votes

7.7.1.7 Solving a 2D heat equation on a square with Dirichlet boundary conditions

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=240090

I am trying to solve the following heat equation problem on the square [0,1]x[0,1]. 
\begin{equation*}  \begin{gathered}  u_t = u_{xx} + u_{yy} + f(x,y,t), \qquad  u(x,y,0) = 0, \qquad  u=0 \text{ on ... 
[differential-equations] [numerics] [boundary-conditions] [heat-transfer-equation]
 

asked by kroner https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=77278 6 votes

answered by Nasser https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=70 7 votes