ParametricHelicoidal

\documentclass{article}[14pt,a4paper]
% Comment the following line to NOT allow the usage of umlauts
\usepackage[utf8]{inputenc}
%\useusepackage[utf8]{imputenc} %\usepackage[a4paper, lmargin=2cm, rmargin=2cm, bottom=2cm]{geometry}
\usepackage{color}
% Uncomment the following line to allow the usage of graphics (.png, .jpg)
%\usepackage{multicol}
%\usepackage{verbatim}
 \usepackage{graphicx} \usepackage{amsmath} %\usepackage[all]{xy}
 \usepackage{pst-all} \usepackage{tikz} \usepackage{gnuplottex}  \usepackage{pst-pdf}
\usepackage{mathtools,amssymb}
%\usepackage{xcolor}
\usepackage{tikz-3dplot}
%\usepackage[colorlinks=true,linkcolor=magenta,citecolor=blue,filecolor=magenta,url(color=blue]{hyperref} \urlstyle{same}
%\usepackage{chronology}
%\usepackage{pst-solides3d}
\tikzset{flippedeventlabel/.append style={align=center}} \usetikzlibrary{datavisualization} \usetikzlibrary{matrix.skeleton} \usetikzlibrary[shapes,arrows,positioning,fit,backgrounds,intersections,shadows,calc] \usetikzlibrary{positioning} \usetikzlibrary{decorations.text} \usetikzlibrary{decorations.pathmorphing}
\usepackage{pgfplots} \pgfplotsset{width=10cm,compat=1.9}
%\renewcommand{\thefootnote}{\fnsymbol{footnote}}
%\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10,unit=0.65cm}
\usetikzlibrary{patterns}

% Start the document
\begin{document}
\pagecolor{red!20}
\tdplotsetmaincoords{10}{100}
\begin{tikzpicture}[scale=1.1]
\begin{axis}[legend style={rounded corners,fill=brown!40},legend pos=outer north east]
\foreach \t in {0.6,0.65,0.7,0.75}
{
%\pgfmathsetmacro{\s}{\t}
\addplot3[color=red, domain=0:20,samples=40,mesh,very thick] ({\t*cos(deg(x))},{\t*sin(deg(x))},{0.5*x });
}
\draw [green,fill](6,6,21)circle(1.5pt);
\draw (6,6,21) node[black,left]{\tiny{21}};
\end{axis}
\end{tikzpicture}
\end{document}