MSE publications / references 2021

In die Beschränkung zeigt sich erst der Meister (Goethe).
Questions & Answers @ Mathematics Stack Exchange:

Find the area enclosed by $\sqrt{(x-2)^2+(y-3)^2} + 2\sqrt{(x-3)^2+(y-1)^2} = 4$
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Free accompanying (Delphi Pascal) source code available: Sample output:
# squares at depth = 0 : 0
# squares at depth = 1 : 8
# squares at depth = 2 : 30
# squares at depth = 3 : 90
# squares at depth = 4 : 262
# squares at depth = 5 : 780
# squares at depth = 6 : 2342
# squares at depth = 7 : 7030
# squares at depth = 8 : 21094
# squares at depth = 9 : 63276
# squares at depth = 10 : 189828
# squares at depth = 11 : 569478
# squares at depth = 12 : 1708434
# squares at depth = 13 : 5125298
Boundary + Inner Area + Outer Area = Area of Image, in world coordinates:
 1.31062924835417E-0005 + 3.20404431502723E+0000 + 3.29594257758143E+0000 =
 6.49999999890115E+0000 = 6.50000000000000E+0000
Final result:
 3.204044 < Area < 3.204057
The software is also available with binary instead of ternary refinement, according to
  Syntax: [program] [number base] [refinement depth]

Accompanying (clickable) pictures


MSE Questions & Answers + mirrors 2017 :
$a^{|b-a|}+b^{|c-b|}+c^{|a-c|} > \frac52$ for $a,b,c >0$ and $a+b+c=3$

Free accompanying (Delphi Pascal) source code available for this problem: Output:


MSE publications / references in 2014. Bounty 100 raised for:
Create a number by multi by 2 and divide by 3 (integer part)
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Five attempts have been made:

Can any positive real be approximated as $2^m/3^n$ with $(m,n)$ large enough?
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