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'pentagram'
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| Title of object: |
pentagram |
| Canonical Name: |
Pentagram |
| Type: |
Definition |
| Created on: |
2007-05-24 07:32:45 |
| Modified on: |
2007-05-24 09:26:56 |
| Classification: |
msc:51F99 |
Revision comment (for changes between this and next version):
transliterated Greek (for benefit of non-math people who are not familiar with Greek)
corrected some grammar errors |
Preamble:
% this is the default PlanetMath preamble. as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.
% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}
% there are many more packages, add them here as you need them
% define commands here
\theoremstyle{definition}
\newtheorem*{thmplain}{Theorem}
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Content:
A {\em pentagram} is the figure formed by the five diagonals of a \PMlinkname{regular}{RegularPolygon} pentagon.\, The name comes from the Greek $\pi\varepsilon\nu\tau\alpha\gamma\varrho\alpha\mu\mu o\nu$.
All pentagrams are similar.\, If the length of the pentagon diagonal is $d$, then the side the small pentagon in the middle of the pentagram is\, $(\sqrt{5}-2)d$. |
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