Flag of Australia
Auteur
Senan Sekhon
Last Updated
il y a 4 ans
License
Creative Commons CC BY 4.0
Résumé
Flag of the Commonwealth of Australia, according to official government specifications
Flag of the Commonwealth of Australia, according to official government specifications
\documentclass[10pt]{article}
%This is the minimal setup required to render the flag
\usepackage[paperwidth=120cm, paperheight=60cm, top=0cm, bottom=0cm, left=0cm, right=0cm]{geometry}
%Paper width is set to 120cm by 60 cm to match the Australian Government-specified aspect ratio (2:1)
\usepackage{tikz}
%\usepackage[dvipsnames]{xcolor} % Optional unless you want to use colors pre-defined by the xcolor package
% Australian Government-specified colors for the flag
\definecolor{aured}{RGB}{255,0,0}
\definecolor{auwhite}{RGB}{255,255,255}
\definecolor{aublue}{RGB}{0,0,139}
% Other government specifications include:
%Outer radius of Commonwealth star (below Union Jack) is 3/20 flag width, here it is 9 cm
%Outer radius of Alpha Crucis, Beta Crucis, Gamma Crucis and Delta Crucis is 1/14 flag width, here it is 30/7 cm
%Outer radius of Epsilon Crucis (5-point star) is 1/24 flag width, here it is 5/2 cm (2.5 cm)
%Inner radius of each star is 4/9 outer radius
%Positions from lower-left corner of flag:
%Center of Commonwealth star is 1/4 across and 1/4 up
%Center of Alpha Crucis is 3/4 across and 1/6 up
%Center of Beta Crucis is 5/8 across and 9/16 up
%Center of Gamma Crucis is 3/4 across and 5/6 up
%Center of Delta Crucis is 31/36 across and 151/240 up
%Center of Epsilon Crucis is 4/5 across and 11/24 up
%Source:
%http://www8.austlii.edu.au/cgi-bin/viewdoc/au/legis/cth/consol_act/fa195361/sch1.html
%Created by Senan Sekhon, December 24, 2020
\begin{document}
\begin{center}
\begin{tikzpicture}[scale=1] %Scale must be changed to make the flag fit on letter/A4 paper (scale=1 produces a 120 cm by 60 cm flag)
\clip (-60,-30) rectangle (60,30); %Optional, crops the flag to the correct size
\draw[-] (-60,-30)--(60,-30)--(60,30)--(-60,30)--cycle; %Optional, draws a border around the flag
\fill[aublue] (-60,-30)--(60,-30)--(60,30)--(-60,30)--cycle; %Blue background
%Union Jack at the upper-left corner of the flag (with auwhite and aured colors and without blue background)
%Taken from https://www.overleaf.com/latex/examples/flag-of-the-united-kingdom/xcxqkwpvnxbs
\begin{scope}[shift={(-30,15)},scale=1,rotate=0]
%White upright cross:
\fill[auwhite] (5,15)--(5,5)--(30,5)--(30,-5)--(5,-5)--(5,-15)--(-5,-15)--(-5,-5)--(-30,-5)--(-30,5)--(-30,5)--(-5,5)--(-5,15)--cycle;
%White St. Andrew's Cross:
\fill[auwhite] (-30,-15)--(-30,{-15+3/2*sqrt(5)})--({30-3*sqrt(5)},15)--(30,15)--(30,{15-3/2*sqrt(5)})--({-30+3*sqrt(5)},-15)--cycle; %Lower-left to upper-right
\fill[auwhite] (-30,15)--(-30,{15-3/2*sqrt(5)})--({30-3*sqrt(5)},-15)--(30,-15)--(30,{-15+3/2*sqrt(5)})--({-30+3*sqrt(5)},15)--cycle; %Upper-left to lower-right
%Red upright Cross:
\fill[aured] (3,15)--(3,3)--(30,3)--(30,-3)--(3,-3)--(3,-15)--(-3,-15)--(-3,-3)--(-30,-3)--(-30,3)--(-30,3)--(-3,3)--(-3,15)--cycle;
%Red St. Patrick's Cross:
\fill[aured] ({10-2*sqrt(5)},5)--(10,5)--(30,15)--({30-2*sqrt(5)},15)--cycle; %Upper-right diagonal
\fill[aured] (-10,5)--({-10-2*sqrt(5)},5)--(-30,{15-sqrt(5)})--(-30,15)--cycle; %Upper-left diagonal
\fill[aured] ({-10+2*sqrt(5)},-5)--(-10,-5)--(-30,-15)--({-30+2*sqrt(5)},-15)--cycle; %Lower-left diagonal
\fill[aured] (10,-5)--({10+2*sqrt(5)},-5)--(30,{-15+sqrt(5)})--(30,-15)--cycle; %Lower-right diagonal
\end{scope}
%Template for a 5-point star, this can be shifted, scaled and rotated as you wish (inner radius is fixed at 4/9 outer radius)
\def\star{(0,1)--({4/9*cos(54)},{4/9*sin(54)})--({cos(18)},{sin(18)})--({4/9*cos(18)},{-4/9*sin(18)})--({cos(54)},{-sin(54)})--(0,-4/9)--({-cos(54)},{-sin(54)})--({-4/9*cos(18)},{-4/9*sin(18)})--({-cos(18)},{sin(18)})--({-4/9*cos(54)},{4/9*sin(54)})--cycle}
%Template for a 7-point star, this can be shifted, scaled and rotated as you wish (inner radius is fixed at 4/9 outer radius)
\def\sstar{(0,1)--({4/9*cos(450/7)},{4/9*sin(450/7)})--({cos(270/7)},{sin(270/7)})--({4/9*cos(90/7)},{4/9*sin(90/7)})--({cos(90/7)},{-sin(90/7)})--({4/9*cos(270/7)},{-4/9*sin(270/7)})--({cos(450/7)},{-sin(450/7)})--(0,-4/9)--({-cos(450/7)},{-sin(450/7)})--({-4/9*cos(270/7)},{-4/9*sin(270/7)})--({-cos(90/7)},{-sin(90/7)})--({-4/9*cos(90/7)},{4/9*sin(90/7)})--({-cos(270/7)},{sin(270/7)})--({-4/9*cos(450/7)},{4/9*sin(450/7)})--cycle}
\begin{scope}[shift={(-30,-15)},scale=9,rotate=0]
\fill[auwhite] \sstar; %Commonwealth star
\end{scope}
%Outer scope for shifting, scaling and rotation of the entire Southern Cross
\begin{scope}[shift={(30,0)},scale=1,rotate=0]
%Inner scopes for shifting, scaling and rotation of each individual star
\begin{scope}[shift={(0,-20)},scale=30/7,rotate=0]
\fill[auwhite] \sstar; %Alpha Crucis
\end{scope}
\begin{scope}[shift={(-15,15/4)},scale=30/7,rotate=0]
\fill[auwhite] \sstar; %Beta Crucis
\end{scope}
\begin{scope}[shift={(0,20)},scale=30/7,rotate=0]
\fill[auwhite] \sstar; %Gamma Crucis
\end{scope}
\begin{scope}[shift={(40/3,31/4)},scale=30/7,rotate=0]
\fill[auwhite] \sstar; %Delta Crucis
\end{scope}
\begin{scope}[shift={(6,-5/2)},scale=5/2,rotate=0]
\fill[auwhite] \star; %Epsilon Crucis (5-point star)
\end{scope}
\end{scope}
\end{tikzpicture}
\end{center}
\end{document}