8.3.1 Top new questions this week

8.3.1.1 How to plot Morley triangle by Synthetic Geometry method?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=262453

As the Wiki 
 
The three points of intersection of the adjacent angle trisectors form 
an equilateral triangle, called the Morley triangle 
So I write this code: 
... 
[geometry] [synthetic-geometry]
 

asked by yode https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=21532 14 votes

answered by cvgmt https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=72111 6 votes

8.3.1.2 Autocomplete in Mathematica 13

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=262654

Bug introduced in 13.0.0 
 
If I type  f[x_Inte  and hit Tab to autocomplete, MMA correctly autocompletes this into  f[x_Integer . 
But ... 
[bugs] [front-end] [autocomplete] [version-13]
 

asked by AccidentalFourierTransform https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34893 13 votes

answered by AccidentalFourierTransform https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34893 0 votes

8.3.1.3 Integrate returns "diverging integral" for obviously convergent expression

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=262549

 Integrate[Cos[phi]^2*Sin[phi]^n, {phi, 0, Pi}, Assumptions -> n > 0] 
on Mathematica 13.0 returns the obviously mistaken error message (... 
[calculus-and-analysis] [bugs] [warning-messages]
 

asked by Carlo Beenakker https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=19575 8 votes

answered by yarchik https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9469 4 votes

8.3.1.4 Defining a SparseArray functions in Mathematica 13

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=262629

I am defining a sparse array as a function of argument x, i.e. 
 f[x_] = SparseArray[{1->x}, {3}] 
 
In Mathematica 12 this works perfectly, I can pass arguments and ... 
[function-construction] [variable-definitions] [sparse-arrays] [version-13]
 

asked by Alik https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=84782 7 votes

8.3.1.5 Can Solve[...] be used for set math? If so, how? If not, how else?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=262686

I'm a recreational user who loves using the product. 
I'm looking for a strategy to solve the following question using Mathematica. 
The question is from a sample actuarial exam. I can solve this with ... 
[sets]
 

asked by Steven Black https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=80579 6 votes

answered by mikado https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=36788 9 votes

8.3.1.6 Why does specifying a ColorFunction make figures non-vectorial?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=262640

If I save the figure generated by  ListPlot[{{1, 1}, {2, 2}, {3, 3}, {4, 4}}]  as a PDF and open it in Affinity Designer (an alternative to Adobe Illustrator), the ... 
[plotting] [graphics] [export] [color] [pdf-format]
 

asked by Andrea https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5579 6 votes

answered by Michael E2 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4999 4 votes

8.3.1.7 A uniform rule for matching numeric and symbolic expressions for inverse of complex numbers?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=262601

I am trying to do some substitution on the basis of pattern matching. I am trying to replace $\frac{1}{a+i b}\to\frac{a-ib}{a^2+b^2}$ in the following way, 
... 
[pattern-matching]
 

asked by Galilean https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=62831 6 votes

answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 10 votes