% This was created by Chris Staecker
% You are free to do whatever you want with it.

\documentclass{article}
\usepackage{nopageno}

\usepackage[dvipsnames]{xcolor}

\usepackage{tikz}

\usepackage{changepage}

\usepackage{geometry}
 \geometry{
 letterpaper,
total={7in,10in},
 left=.75in,
% right=.75in,
% inner=.75in,
% outer=.75in,
 top=.25in,
 }
 
\newcommand{\col}{OliveGreen}
%\newcommand{\col}{Black}
%\newcommand{\col}{Apricot}
 
\newcommand{\bigbox}[1]{\noindent\raisebox{-\height}[0pt][0pt]{%
  \makebox[\linewidth][l]{#1}}}

\usepackage[outline]{contour}
\contourlength{1.2pt}


\newcommand{\labelpad}{.1}

\tikzset{every picture/.style={line width=.1pt}}

\begin{document}

\color{\col}



\begin{center}
\bigbox{
\begin{tikzpicture}[draw=\col]
%\draw(0,0) rectangle (7in,10in); 
\draw[ultra thin, step=.1in](0,0) grid (7in,10in); 
\draw[thin, step=.5in](0,0) grid (7in,10in); 
\draw[thick, step=1in](0,0) grid (7in,10in); 
\node[] at (3.5in,-.1in) {Square section $10\times10$ to 1 in, 5th lines accented, 10th lines heavy.};
\end{tikzpicture}
}

\end{center}

\newpage

\begin{center}
\begin{tikzpicture}[draw=\col,text=\col]
\draw[ultra thin, step=.125in](0,0) grid (6.875in,10in); 
\foreach \y in {0,...,10} {
 \draw[ultra thick] (0,\y in) -- (6.875in,\y in);
 }
\foreach \x in {0,...,11} {
 \draw[ultra thick] (\x*.625 in, 0) -- (\x*.625 in, 10in);
 }
\node[] at (3.5in,-.1in) {Rectangular section $5\times 8$};
\end{tikzpicture}
\end{center}


\begin{center}
\bigbox{
\begin{tikzpicture}[draw=\col,text=\col]
\foreach \x in {0,...,70} {
 \draw[ultra thin] (\x*.1in, 0) -- (\x*.1in, 10in);
 }
\foreach \x in {0,...,14} {
 \draw[thin] (\x*.5in, 0) -- (\x*.5in, 10in);
 }
\foreach \x in {0,...,7} {
 \draw[thick] (\x in, 0) -- (\x in, 10in);
}
\foreach \y in {1,...,10} {
 \draw[thick] (0,{(log10(\y*10)-1)*5in}) -- (7in,{(log10(\y*10)-1)*5in});
 \draw[thick] (0,{(log10(\y*10)-1)*5in+5in}) -- (7in,{(log10(\y*10)-1)*5in+5in});
}
\foreach \y in {2,...,20} {
 \draw[ thin] (0,{(log10(\y*5)-1)*5in}) -- (7in,{(log10(\y*5)-1)*5in});
 \draw[ thin] (0,{(log10(\y*5)-1)*5in+5in}) -- (7in,{(log10(\y*5)-1)*5in+5in});
     }
\foreach \y in {10,...,100} {
 \draw[ultra thin] (0,{(log10(\y)-1)*5in}) -- (7in,{(log10(\y)-1)*5in});
 \draw[ultra thin] (0,{(log10(\y)-1)*5in+5in}) -- (7in,{(log10(\y)-1)*5in+5in});
}
\foreach \y in {20,...,40} { % extra half marks from 1 to 2
 \draw[ultra thin] (0,{(log10(\y*.5)-1)*5in}) -- (7in,{(log10(\y*.5)-1)*5in});
  \draw[ultra thin] (0,{(log10(\y*.5)-1)*5in+5in}) -- (7in,{(log10(\y*.5)-1)*5in+5in});
 }

\node[] at (3.5in,-.1in) {Semilogarithmic, 2 log cycles, 5th lines accented, 10th lines heavy};
\end{tikzpicture}
}
\end{center}

\newpage

\begin{center}
\bigbox{
\begin{tikzpicture}[draw=\col,text=\col]
\foreach \y in {1,...,10} {
 \draw[thick] (0,{(log10(\y*10)-1)*7in}) -- (7in,{(log10(\y*10)-1)*7in});
}
\foreach \y in {2,...,20} {
 \draw[ thin] (0,{(log10(\y*5)-1)*7in}) -- (7in,{(log10(\y*5)-1)*7in});
}
\foreach \y in {10,...,100} {
\draw[ultra thin] (0,{(log10(\y)-1)*7in}) -- (7in,{(log10(\y)-1)*7in});
}
\foreach \y in {20,...,40} { % extra half marks from 1 to 2
 \draw[ultra thin] (0,{(log10(\y*.5)-1)*7in}) -- (7in,{(log10(\y*.5)-1)*7in});
}
\foreach \x in {1,...,10} {
 \draw[thick] ({(log10(\x*10)-1)*7in},0) -- ({(log10(\x*10)-1)*7in},7in);
}
\foreach \x in {2,...,20} {
 \draw[ thin] ({(log10(\x*5)-1)*7in},0) -- ({(log10(\x*5)-1)*7in},7in);
}
\foreach \x in {10,...,100} {
\draw[ultra thin] ({(log10(\x)-1)*7in},0) -- ({(log10(\x)-1)*7in},7in);
}
\foreach \x in {20,...,40} { % extra half marks from 1 to 2
\draw[ultra thin] ({(log10(\x*.5)-1)*7in},0) -- ({(log10(\x*.5)-1)*7in},7in);
}
\node[] at (3.5in,-.1in) {Full logarithmic, 1 log cycle};
\end{tikzpicture}
}
\end{center}


\newpage

% reciprocal
\begin{center}
\bigbox{
\begin{tikzpicture}[draw=\col,text=\col]
\foreach \t in {0,.0083333,...,1.001} {
 \draw[ultra thin] (\t*7in, 0) -- (\t*7in,10in);
}
\foreach \t in {0, .041666, ..., 1.001} {
 \draw[thin] (\t*7in, 0) -- (\t*7in,10in);
}
\foreach \t in {0, .083333, ..., 1.001} {
 \draw[thick] (\t*7in, 0) -- (\t*7in,10in);
}
\draw[thick] (0,0) -- (7in, 0);
\node[rotate=-90] at (-\labelpad, 0) {\tiny $\infty$};

\foreach \t in {1,1.1,1.2,1.3,1.4,1.5,1.6,1.7,1.8,1.9,2,2.5,3,4,...,10,20,50} {
 \draw[thin] (0,{(1/\t)*10in}) -- (7in,{(1/\t)*10in});
 \node[rotate=-90] at (-\labelpad, {(1/\t)*10in}) {\tiny \t};
}

\foreach \t in {1.05,1.15,...,2,2.1,2.2,2.3,2.4,2.5,2.6,2.7,2.8,2.9,3,3.2,3.4,3.6,3.8,4,4.2,4.4,4.6,4.8,5.5,6.5,12,14,16,18} {
 \draw[ultra thin] (0,{(1/\t)*10in}) -- (7in,{(1/\t)*10in});
 }

\node[] at (3.5in,-.1in) {Reciprocal scale};
\end{tikzpicture}}
\end{center}

\newpage



%probability


\begin{center}
\bigbox{\begin{tikzpicture}[draw=\col,text=\col]
\foreach \t in {0,.0083333,...,1.001} {
 \draw[ultra thin] (\t*7in, 0) -- (\t*7in,10in);
}
\foreach \t in {0, .041666, ..., 1.001} {
 \draw[thin] (\t*7in, 0) -- (\t*7in,10in);
}
\foreach \t in {0, .083333, ..., 1.001} {
 \draw[thick] (\t*7in, 0) -- (\t*7in,10in);
}
\draw[thick] (0,0) -- (7in, 0);

% crazy numbers from excel
\foreach \t in {0,0.05760793957751,0.084536352789362,0.113047999336466,0.153694825819885,0.18723614386509,0.223885479042158,0.278859056771574,0.327702892612,0.386848950943842,0.42949742025091,0.465938964760362,0.5,0.534061035239638,0.57050257974909,0.613151049056158,0.672297107388,0.721140943228426,0.776114520957842,0.81276385613491,0.886952000663534,0.915463647210643,0.999999999999966} {
 \draw[thin] (0,{(\t)*10in}) -- (7in,{(\t)*10in});
% \node[rotate=-90] at (-\labelpad, {(1/\t)*10in}) {\tiny \t};
\node[rotate=-90] at (-\labelpad, {(1*10in}) {\tiny 0.01};
\node[rotate=-90] at (-\labelpad, {(0.94239206042249*10in}) {\tiny 0.05};
\node[rotate=-90] at (-\labelpad, {(0.915463647210638*10in}) {\tiny 0.1};
\node[rotate=-90] at (-\labelpad, {(0.886952000663534*10in}) {\tiny 0.2};
\node[rotate=-90] at (-\labelpad, {(0.846305174180115*10in}) {\tiny 0.5};
\node[rotate=-90] at (-\labelpad, {(0.81276385613491*10in}) {\tiny 1};
\node[rotate=-90] at (-\labelpad, {(0.776114520957842*10in}) {\tiny 2};
\node[rotate=-90] at (-\labelpad, {(0.721140943228426*10in}) {\tiny 5};
\node[rotate=-90] at (-\labelpad, {(0.672297107388*10in}) {\tiny 10};
\node[rotate=-90] at (-\labelpad, {(0.613151049056158*10in}) {\tiny 20};
\node[rotate=-90] at (-\labelpad, {(0.57050257974909*10in}) {\tiny 30};
\node[rotate=-90] at (-\labelpad, {(0.534061035239638*10in}) {\tiny 40};
\node[rotate=-90] at (-\labelpad, {(0.5*10in}) {\tiny 50};
\node[rotate=-90] at (-\labelpad, {(0.465938964760362*10in}) {\tiny 60};
\node[rotate=-90] at (-\labelpad, {(0.42949742025091*10in}) {\tiny 70};
\node[rotate=-90] at (-\labelpad, {(0.386848950943842*10in}) {\tiny 80};
\node[rotate=-90] at (-\labelpad, {(0.327702892612*10in}) {\tiny 90};
\node[rotate=-90] at (-\labelpad, {(0.278859056771574*10in}) {\tiny 95};
\node[rotate=-90] at (-\labelpad, {(0.223885479042158*10in}) {\tiny 98};
\node[rotate=-90] at (-\labelpad, {(0.18723614386509*10in}) {\tiny 99};
\node[rotate=-90] at (-\labelpad, {(0.113047999336466*10in}) {\tiny 99.8};
\node[rotate=-90] at (-\labelpad, {(0.0845363527893572*10in}) {\tiny 99.9};
\node[rotate=-90] at (-\labelpad, {(0.0000000000000336397576461422*10in}) {\tiny 99.99};

}

\foreach \t in {0,0.024056452418174,0.038639527810159,0.049236364826974,0.05760793957751,0.064551524439381,0.070497863311857,0.075706807127109,0.080347497575369,0.084536352789362,0.101005005362573,0.113047999336466,0.130576874801307,0.143444736226109,0.153694825819885,0.162256898059615,0.169635318932398,0.176135403642839,0.181956488211904,0.18723614386509,0.196542183489452,0.204587706825959,0.211696542715232,0.218080379938486,0.223885479042158,0.247138307196721,0.264630504046063,0.278859056771574,0.290969789905845,0.301588533695576,0.311096352247351,0.319743332822853,0.327702892612,0.335100472822141,0.342029902709329,0.348563305185136,0.354757387465226,0.360657596766905,0.366300957914696,0.371718066204097,0.376934521341513,0.381971981236907,0.386848950943842,0.39618314180529,0.405041754237674,0.413505975584014,0.421640370572355,0.42949742025091,0.43712063378267,0.444546746289716,0.451807313216673,0.458929895942372,0.465938964760362,0.472856603361209,0.479703072561363,0.486497274090577,0.493257144239495,0.5,0.506742855760505,0.513502725909423,0.520296927438637,0.527143396638791,0.534061035239638,0.541070104057628,0.548192686783327,0.555453253710284,0.56287936621733,0.57050257974909,0.578359629427645,0.586494024415986,0.594958245762326,0.60381685819471,0.613151049056158,0.618028018763093,0.623065478658487,0.628281933795903,0.633699042085303,0.639342403233095,0.645242612534774,0.651436694814864,0.657970097290671,0.664899527177859,0.672297107388,0.680256667177147,0.68890364775265,0.698411466304424,0.709030210094155,0.721140943228426,0.735369495953937,0.752861692803279,0.776114520957842,0.781919620061514,0.788303457284768,0.795412293174042,0.803457816510548,0.812763856134911,0.818043511788096,0.823864596357159,0.830364681067599,0.837743101940386,0.846305174180121,0.856555263773903,0.869423125198716,0.886952000663534,0.898994994637425,0.915463647210643,0.91965250242463,0.924293192872884,0.929502136688129,0.935448475560602,0.942392060422461,0.950763635172979,0.961360472189845,0.97594354758183,0.999999999999966} {
 \draw[ultra thin] (0,{(\t)*10in}) -- (7in,{(\t)*10in});
}

\node[] at (3.5in,-.1in) {Probability scale};
\end{tikzpicture}}
\end{center}



\newpage


% polar
\begin{center}
\bigbox{
\noindent \begin{tikzpicture}[draw=\col,text=\col]
\begin{scope}
\clip(0,0) rectangle (7 in,10in);
\draw(0,0) rectangle (7 in, 10in); 
\tikzset{shift={(3.5in,5in)}}
\foreach \r in {1,...,5} {
 \draw[thick] (0,0) circle (\r in);
}
\foreach \r in {.1,.2,...,5} {
 \draw (0,0) circle (\r in);
 }
\foreach \d in {0,10,...,359} {
 \draw (\d:.1 in) -- (\d:8 in);
 }
\foreach \d in {0,5,...,359} {
\draw (\d:.5 in) -- (\d: 1in);
}
\foreach \d in {0,2,...,359} {
\draw (\d:1in) -- (\d:5in);
}
\foreach \d in {0,1,...,359} {
\draw (\d:2in) -- (\d:5in);
}
\end{scope}

\node at (3.5in,-.15in) {$0^\circ$};

\foreach \d [evaluate=\d as \c using {int(360-\d)}] in {10,20,30,330,340,350} {
 \node[align=center] at ({3.5 in + tan(\d)*5in}, -.1in) {\tiny $\d^\circ$\\[-2mm] \tiny\emph{\c}$^\circ$};
}
\foreach \d [evaluate=\d as \c using {int(360-\d)}] in {150, 160, ..., 210} {
 \node[align=center] at ({3.5 in - tan(\d)*5in}, 10.1in) {\tiny $\d^\circ$\\[-2mm] \tiny\emph{\c}$^\circ$};
}
\foreach \d [evaluate=\d as \c using {int(360-\d)}] in {40,50,...,140} {
 \node[align=left] at (7.15in, {5in + tan(\d-90)*3.5in}) {\tiny $\d^\circ$\\[-2mm] \tiny\emph{\c}$^\circ$};
 }
\foreach \d [evaluate=\d as \c using {int(360-\d)}] in {220,230,...,320} {
 \node[align=right] at (-0.15in, {5in - tan(\d-90)*3.5in}) {\tiny $\d^\circ$\\[-2mm] \tiny\emph{\c}$^\circ$};
}

\end{tikzpicture}
}
\end{center}

\newpage

% circle percentage
\begin{center}
\begin{tikzpicture}[draw=\col,text=\col]
\def\ra{3in}
\draw (0,0) circle (\ra);
\foreach \d in {0,...,99} {
 \draw (90-\d*3.6:\ra-.05in) -- (90-\d*3.6:\ra);
 }
\foreach \d in {0,5,...,99} {
 \draw (90-\d*3.6:\ra-.1in) -- (90-\d*3.6:\ra + .05in);
 \node[] at (90-\d*3.6:\ra + .2in) {\d};
 }
\foreach \d in {0,.5,...,99} {
 \draw (90-\d*3.6:\ra-.025in) -- (90-\d*3.6:\ra );
 }
\end{tikzpicture}

\vfill
\def\ra{1in}

\begin{tikzpicture}[draw=\col,text=\col]
\draw (0,0) circle (\ra);
\foreach \d in {0,...,99} {
 \draw (90-\d*3.6:\ra-.05in) -- (90-\d*3.6:\ra);
 }
\foreach \d in {0,5,...,99} {
 \draw (90-\d*3.6:\ra-.1in) -- (90-\d*3.6:\ra + .05in);
 \node[] at (90-\d*3.6:\ra + .2in) {\d};
 }
\end{tikzpicture}
\hfill
\begin{tikzpicture}[draw=\col,text=\col]
\draw (0,0) circle (\ra);
\foreach \d in {0,...,99} {
 \draw (90-\d*3.6:\ra-.05in) -- (90-\d*3.6:\ra);
 }
\foreach \d in {0,5,...,99} {
 \draw (90-\d*3.6:\ra-.1in) -- (90-\d*3.6:\ra + .05in);
 \node[] at (90-\d*3.6:\ra + .2in) {\d};
 }
\end{tikzpicture}

\vfill
Circular percentage paper
\end{center}

\newpage

\def\xx{6.92}
\def\yy{9}
\[
\begin{tikzpicture}[draw=\col,text=\col]
\clip(0,0) rectangle (\xx in,9in);
\draw(0,0) rectangle (\xx in, 9in); 

\foreach \y in {-50,...,50} {
 \draw[] (0,\y in) -- (7 in,{\y in+ (7 in)*(.57735)});
 \draw[] (0,\y in) -- (7in,{\y in - (7 in)*.57735});
 }
\foreach \x in {0,.86602,...,50} {
 \draw (\x in,0) -- (\x in,9 in);
 }
 
\foreach \y in {-50,-49.75,...,50} {
 \draw[densely dashed] (0,\y in) -- (7 in,{\y in+ (7 in)*(.57735)});
 \draw[densely dashed] (0,\y in) -- (7in,{\y in - (7 in)*.57735});
 }
\foreach \x in {0,0.216505,...,50} {
 \draw[densely dashed] (\x in,0) -- (\x in,9 in);
 }
\end{tikzpicture}
\]
\begin{center}
Isometric paper
\end{center}

\newpage

\begin{center}
\def\xx{6.92}
\def\yy{9}
\begin{tikzpicture}[draw=\col,text=\col]
\clip(0,0) rectangle (\xx in,9in);
\draw(0,0) rectangle (\xx in, 9in); 

\foreach \y in {-50,...,50} {
 \draw[thick] (0,\y in) -- (7 in,{\y in+ (7 in)*(.57735)});
 \draw[thick] (0,\y in) -- (7in,{\y in - (7 in)*.57735});
 }
\foreach \x in {0,.86602,...,50} {
% \draw[thick] (\x in,0) -- (\x in,9 in);
 }
 
\foreach \y in {-50,-49.75,...,50} {
 \draw[ultra thin] (0,\y in) -- (7 in,{\y in+ (7 in)*(.57735)});
 \draw[ultra thin] (0,\y in) -- (7in,{\y in - (7 in)*.57735});
 }
\foreach \x in {0,0.216505,...,50} {
% \draw[ultra thin] (\x in,0) -- (\x in,9 in);
 }
 
\foreach \x in {0, ..., 7} {
 \draw[thick] (\x in - .535in, 0) -- (\x in - .535in, 9in);
 }
\foreach \y in {0, ..., 9} {
 \draw[thick] (0, \y in) -- (7 in, \y in);
 }

\foreach \x in {0,.25, ..., 7} {
 \draw[ultra thin] (\x in  - .535in, 0) -- (\x in - .535in, 9in);
 }
\foreach \y in {0,.25, ..., 9} {
 \draw[ultra thin] (0, \y in) -- (7 in, \y in);
 }
\end{tikzpicture}
\vfill
Isometric-Orthographic paper
\end{center}


%perspective

%\newcommand{\labelpad}{.1}
\newcommand{\Ax}{0.4}
\newcommand{\Ay}{5}
\newcommand{\Bx}{3.5}
\newcommand{\By}{7.1}
\newcommand{\Cx}{5.7}
\newcommand{\Cy}{4.5}
\newcommand{\Dx}{11.2}
\newcommand{\Dy}{5.7}
\newcommand{\Ex}{0.4}
\newcommand{\Ey}{0}
\newcommand{\Fx}{5.7}
\newcommand{\Fy}{.75}
\newcommand{\Hx}{3.5}
\newcommand{\Hy}{-2}
\newcommand{\Gx}{11.2}
\newcommand{\Gy}{-.3}

\begin{adjustwidth*}{-.5in}{-.5in} 
\begin{center}
\begin{tikzpicture}[scale=2,draw=\col,text=\col,rotate=90,transform shape]
\draw (\Ax,\Ay) -- (\Bx,\By) -- (\Hx,\Hy) -- (\Ex,\Ey) -- (\Ax,\Ay);
\draw (\Bx,\By) -- (\Dx,\Dy) -- (\Gx,\Gy) -- (\Hx,\Hy);
\draw [dashed] (\Ax,\Ay) -- (\Cx,\Cy) -- (\Dx,\Dy);
\draw [dashed] (\Ex,\Ey) -- (\Fx,\Fy) -- (\Gx,\Gy);
\draw [dashed] (\Fx,\Fy) -- (\Cx,\Cy);


% spacing for perspective along AC
\def\spacing{{0,0.142,0.271,0.383,0.478,0.569,0.650,0.721,.779,0.849,0.903,0.953,1}}

\foreach \i in {0,...,11} {
 % face AB to EH
 \draw [] ({\Bx + \spacing[\i]*(\Ax-\Bx)}, {\By + \spacing[\i]*(\Ay-\By)}) -- ({\Hx + \spacing[\i]*(\Ex-\Hx)}, {\Hy + \spacing[\i]*(\Ey-\Hy)});
 % face AB to CD
\draw [densely dashed] ({\Bx + \spacing[\i]*(\Ax-\Bx)}, {\By + \spacing[\i]*(\Ay-\By)}) -- ({\Dx + \spacing[\i]*(\Cx-\Dx)}, {\Dy + \spacing[\i]*(\Cy-\Dy)});
% face FG to CD
\draw [densely dashed] ({\Gx + \spacing[\i]*(\Fx-\Gx)}, {\Gy + \spacing[\i]*(\Fy-\Gy)}) -- ({\Dx + \spacing[\i]*(\Cx-\Dx)}, {\Dy + \spacing[\i]*(\Cy-\Dy)});
% face EH to FG
\draw [densely dashed] ({\Gx + \spacing[\i]*(\Fx-\Gx)}, {\Gy + \spacing[\i]*(\Fy-\Gy)}) -- ({\Hx + \spacing[\i]*(\Ex-\Hx)}, {\Hy + \spacing[\i]*(\Ey-\Hy)});
}
\foreach \i in {1,...,11} {
% H-E labels
\node[rotate=60] at ({-\labelpad + \Hx + \spacing[\i]*(\Ex-\Hx)}, {-\labelpad + \Hy + \spacing[\i]*(\Ey-\Hy)}) {\tiny \i};
% B-A labels
\node[rotate=120] at ({-\labelpad + \Bx + \spacing[\i]*(\Ax-\Bx)}, {\labelpad + \By + \spacing[\i]*(\Ay-\By)}) {\tiny \i};
}


% perspective along BD
\def\spacing{{0,0.121,0.229,0.333,.428,.519,.6,.678,.744,.817,.879,.94,1}}
\foreach \i in {0,...,11} {
 % face BD to HG
 \draw [] ({\Bx + \spacing[\i]*(\Dx-\Bx)}, {\By + \spacing[\i]*(\Dy-\By)}) -- ({\Hx + \spacing[\i]*(\Gx-\Hx)}, {\Hy + \spacing[\i]*(\Gy-\Hy)});
 % face BD to AC to EF to HG
 \draw [densely dashed] 
  ({\Bx + \spacing[\i]*(\Dx-\Bx)}, {\By + \spacing[\i]*(\Dy-\By)}) 
   -- ({\Ax + \spacing[\i]*(\Cx-\Ax)}, {\Ay + \spacing[\i]*(\Cy-\Ay)}) 
   -- ({\Ex + \spacing[\i]*(\Fx-\Ex)}, {\Ey + \spacing[\i]*(\Fy-\Ey)})
   -- ({\Hx + \spacing[\i]*(\Gx-\Hx)}, {\Hy + \spacing[\i]*(\Gy-\Hy)});
}
\foreach \i in {1,...,12} {
% B-D labels
\node[rotate=80] at ({0*\labelpad + \Bx + \spacing[\i]*(\Dx-\Bx)}, {1*\labelpad + \By + \spacing[\i]*(\Dy-\By)}) {\tiny \i};
% H-G labels
\node[rotate=105] at ({.5*\labelpad + \Hx + \spacing[\i]*(\Gx-\Hx)}, {-1*\labelpad + \Hy + \spacing[\i]*(\Gy-\Hy)}) {\tiny \i};
}


% perspective along AE
\def\spacing{{0,0.128,.246,.371,.496,.624,.746,.871,1}};
\foreach \i in {0,...,8} {
%(AE)--(BH)--(DG)
 \draw ({\Ax + \spacing[\i]*(\Ex-\Ax)}, {\Ay + \spacing[\i]*(\Ey-\Ay)}) -- ({\Bx + \spacing[\i]*(\Hx-\Bx)}, {\By + \spacing[\i]*(\Hy-\By)}) -- ({\Dx + \spacing[\i]*(\Gx-\Dx)}, {\Dy + \spacing[\i]*(\Gy-\Dy)});
%(AE)--(CF)--(DG)
 \draw[densely dashed] ({\Ax + \spacing[\i]*(\Ex-\Ax)}, {\Ay + \spacing[\i]*(\Ey-\Ay)}) -- ({\Cx + \spacing[\i]*(\Fx-\Cx)}, {\Cy + \spacing[\i]*(\Fy-\Cy)}) -- ({\Dx + \spacing[\i]*(\Gx-\Dx)}, {\Dy + \spacing[\i]*(\Gy-\Dy)});
}

% vertical labels
\foreach \i in {1,...,7} {
%G-D
\node[rotate=-90] at ({1*\labelpad + \Gx + \spacing[\i]*(\Dx-\Gx)}, {0.5*\labelpad + \Gy + \spacing[\i]*(\Dy-\Gy)}) {\tiny \i};
% E-A
\node[rotate=90] at ({-1*\labelpad + \Ex + \spacing[\i]*(\Ax-\Ex)}, {0*\labelpad + \Ey + \spacing[\i]*(\Ay-\Ey)}) {\tiny \i};
}
\foreach \i in {1,...,8} {
% H-B
\node[rotate=0] at ({1*\labelpad + \Hx + \spacing[\i]*(\Bx-\Hx)}, {2*\labelpad + \Hy + \spacing[\i]*(\By-\Hy)}) {\tiny \i};
% F-C
\node[rotate=0] at ({.5*\labelpad + \Fx + \spacing[\i]*(\Cx-\Fx)}, {1*\labelpad + \Fy + \spacing[\i]*(\Cy-\Fy)}) {\tiny \i};
}
\end{tikzpicture}
\end{center}
\end{adjustwidth*}

\newpage

\begin{adjustwidth*}{-.5in}{-.5in} 
\begin{center}
\newcommand{\s}{23}
\begin{tikzpicture}

\newcommand{\vlines}[2]{\draw[#2] ({\s*sqrt(3)/2*#1}, \s/2*#1) -- ({\s*sqrt(3)/2*#1}, {\s-\s/2*#1})}
\newcommand{\selines}[2]{\draw[#2] (0,\s*#1) -- ({\s*sqrt(3)/2*#1}, \s/2*#1)}
\newcommand{\nwlines}[2]{\draw[#2] (0,\s*#1) -- ({\s*sqrt(3)/2*(1-#1)}, {\s-\s/2*(1-#1)})}

\foreach \t in {0,.1,...,1.09} {
 \selines{\t}{thick};
 \nwlines{\t}{thick};
 \vlines{\t}{thick};
}
\foreach \t in {0,.05,...,1.049} {
 \selines{\t}{thin};
 \nwlines{\t}{thin};
 \vlines{\t}{thin};
}
\foreach \t in {0,.01,...,1.009} {
 \selines{\t}{ultra thin};
 \nwlines{\t}{ultra thin};
 \vlines{\t}{ultra thin};
}
%altitudes
\draw[thick] (0,0) -- ({\s*sqrt(3)/4},\s*3/4);
\draw[thick] (0,\s/2) -- ({\s*sqrt(3)/2},\s/2);
\draw[thick] (0,\s) -- ({\s*sqrt(3)/4},\s/4);
%labels
\foreach \t in {0,10,...,100} {
 \node[rotate=-90] at ({\s*sqrt(3)/2*\t*.01},\s/2) {\contour{white}{\tiny \t}};
 \node[rotate=150] at ({\s*sqrt(3)/4*(100-\t)*.01},{\s*3/4*(100-\t)*.01}) {\contour{white}{\tiny\t}};
 \node[rotate=30] at ({\s*sqrt(3)/4*(100-\t)*.01},{\s-\s*3/4*(100-\t)*.01}) {\contour{white}{\tiny\t}};
 }

\end{tikzpicture}
\vfill
Triangular Co-ordinate paper
\end{center}

\end{adjustwidth*}
\vfill


\end{document}