8.12.2 Greatest hits from previous weeks

8.12.2.1 Finding unit tangent, normal, and binormal vectors for a given r(t)

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=18598

For my Calc III class, I need to find $T(t), N(t)$, and $B(t)$ for $t=1, 2$, and $-1$, given $r(t)=\{t,t^2,t^3\}$. 
 
I've got Mathematica, but I've never used it before and I'm not sure how to coerce ... 
[equation-solving] [calculus-and-analysis] [geometry] [vector-calculus] [homework]
 

asked by a98 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5605 Score of 32

answered by Artes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=184 Score of 47

8.12.2.2 How to make the digits of  go around in a spiral like this?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=109982

Here is a start. 
 
 MapIndexed[Text[Reverse[First[RealDigits[Pi,10,252]]][[Tr@#2]],#]&, 
Table[{t Cos[t],t Sin[t]},{t,0,16Pi,0.2}]]//Graphics 
 
[graphics] [formatting] [generative-art]
 

asked by matrix89 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5379 Score of 57

answered by Martin Ender https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=2305 Score of 73

8.12.2.3 Make a scatter plot from two lists

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=21884

I have two lists of values 
 
 xx = {0.1, 0.3, 0.35, 0.57, 0.88, 1.0} 
yy = {1.2, 3.5, 4.5, 7.8, 9.0, 12.2} 
 
 
I want to make a scatter plot (list plot) with xx as x ... 
[plotting]
 

asked by JACKY Li https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=2403 Score of 28

answered by Eric Thewalt https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=6313 Score of 42

8.12.2.4 1 Plot, 2 Scale/Axis

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=627

I would like to plot those two datasets on top of each other. But they have very different range on the $y$ axis. How can I have two different axis? 
 
I found the following on the help menu but quite ... 
[plotting] [customization]
 

asked by 500 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=172 Score of 156

answered by ArgentoSapiens https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=92 Score of 158

8.12.2.5 Generate a Unit Circle Trigonometry

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=2456

Struggling often with Trigonometry I would like to have some code to generate this Unit Circle Trigonometry. Would be of great help when I need to transform some data : 
[graphics] [trigonometry]
 

asked by 500 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=172 Score of 18

answered by Mark McClure https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=36 Score of 32

8.12.2.6 Code that generates a mandala

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=136974

My little brother asked me to print original mandalas for coloring. I would like some idea on how to create them, but without color, so he can color them. 
 
examples 
[graphics] [programming] [generative-art]
 

asked by zeros https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=26849 Score of 79

answered by Anton Antonov https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34008 Score of 101

8.12.2.7 xkcd-style Plots

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=11350

I received an email to which I wanted to respond with a xkcd-style graph, but I couldn't manage it. Everything I drew looked perfect, and I don't have enough command over ... 
[plotting] [generative-art]
 

asked by Amatya https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=2039 Score of 630

answered by Simon Woods https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=862 Score of 493