Making inscribed and circumscribed polygons

Question

I’m trying to create a graphic of two n-sided polygons bounding a circle in Beamer. I’ve gone to other questions here on TeX, but none of them really have what I need. I’m looking for something similar to the answer given here: https://tex.stackexchange.com/a/152250/122640, but with polygons on the outside and in the context of Beamer.

\documentclass{beamer}

\usetheme{Warsaw}

\title{Archimedes's Approximation of Pi}
\author{Daniel Rui}

\begin{document}

\begin{frame}
\frametitle{Approximation}
\begin{columns}
\column{0.6\textwidth}
Archimedes began by inscribing a hexagon inside a circle and finding its perimeter.
\column{0.4\textwidth}
\begin{center}
PICTURE HERE
\end{center}

\end{columns}
\end{frame}

\end{document}

Colors to distinguish the polygons would be appreciated. Thanks for your help!

On the outside of what? Have you actually tried anything? Your text suggests you want them on the inside of something, but the question wants them outside of something (different?). I don't see why Beamer should make a difference. Did you run into problems with the solutions in Beamer? — cfr, Jul 15 '18 at 23:26
So I am thinking of say one hexagon around a circle and a smaller hexagon inside a circle. I tried manipulating the code given in the answer from the other post, but I don’t really understand how to get from their code to my result. — D.R, Jul 15 '18 at 23:34
this is given in the pgf/tikz manual regular polygon shape — percusse, Jul 15 '18 at 23:50

score 4 · Accepted Answer · answered Jul 16 '18 at 00:16

There's no problem doing it in Beamer. But I don't really understand the problem as the answers to the other question seem to provide what you need.

Why not just something like this (but in Beamer, obviously)?

\documentclass[border=10pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{shapes.geometric}
\begin{document}

\tikz[ultra thin]{
  \draw [magenta] (0,0) circle ({10pt+.5*\pgflinewidth});
  \foreach \i [evaluate=\i as \j using {(100*(\i-6))/12}] in {6,...,18}
    \node [regular polygon, draw=blue!\j!green, minimum size=20pt, regular polygon sides=\i] {};
}

\end{document}

What about creating polygons circumscribing (outside) the circle? — D.R, Jul 16 '18 at 19:56

Making inscribed and circumscribed polygons

1 Answers1