Flag of New Zealand
Author
Senan Sekhon
License
Creative Commons CC BY 4.0
Abstract
Flag of New Zealand, according to official government specifications
Flag of New Zealand, 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 New Zealand Government-specified aspect ratio (2:1)
\usepackage{tikz}
%\usepackage[dvipsnames]{xcolor} % Optional unless you want to use colors pre-defined by the xcolor package
% New Zealand Government-specified colors for the flag
\definecolor{nzred}{RGB}{200,16,46}
\definecolor{nzwhite}{RGB}{255,255,255}
\definecolor{nzblue}{RGB}{1,33,105}
% Other government specifications include:
%Positions from lower-left corner of flag (assuming flag is 120 units by 60 units):
%Center of Alpha Crucis is 90 units across and 12 units up
%Center of Gamma Crucis is 90 units across and 48 units up
%Pivot of Beta Crucis-Delta Crucis pair is 90 units across and 36 units up
%Axis joining Beta Crucis and Delta Crucis is rotated about the pivot, 82 degrees clockwise from the vertical
%Center of Beta Crucis is 14 units left (along axis) from pivot
%Center of Delta Crucis is 12 units right (along axis) from pivot
%Horizontal span of Alpha Crucis is 7 units
%Horizontal span of Beta Crucis is 6 units
%Horizontal span of Gamma Crucis is 6 units
%Horizontal span of Delta Crucis is 5 units
%Width of white border around each star is 1/2 unit
%Source:
%https://mch.govt.nz/nz-identity-heritage/flags/description-and-dimensions
%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[nzblue] (-60,-30)--(60,-30)--(60,30)--(-60,30)--cycle; %Blue background
%Union Jack at the upper-left corner of the flag (with nzwhite and nzred 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[nzwhite] (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[nzwhite] (-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[nzwhite] (-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[nzred] (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[nzred] ({10-2*sqrt(5)},5)--(10,5)--(30,15)--({30-2*sqrt(5)},15)--cycle; %Upper-right diagonal
\fill[nzred] (-10,5)--({-10-2*sqrt(5)},5)--(-30,{15-sqrt(5)})--(-30,15)--cycle; %Upper-left diagonal
\fill[nzred] ({-10+2*sqrt(5)},-5)--(-10,-5)--(-30,-15)--({-30+2*sqrt(5)},-15)--cycle; %Lower-left diagonal
\fill[nzred] (10,-5)--({10+2*sqrt(5)},-5)--(30,{-15+sqrt(5)})--(30,-15)--cycle; %Lower-right diagonal
\end{scope}
%Template for a star, this can be shifted, scaled and rotated as you wish
\def\star{(0,4)--({sqrt(50-22*sqrt(5))},{-1+sqrt(5)})--({sqrt(10+2*sqrt(5))},{-1+sqrt(5)})--({2*sqrt(5-2*sqrt(5))},{4-2*sqrt(5)})--({sqrt(10-2*sqrt(5))},{-1-sqrt(5)})--(0,{-6+2*sqrt(5)})--({-sqrt(10-2*sqrt(5))},{-1-sqrt(5)})--({-2*sqrt(5-2*sqrt(5))},{4-2*sqrt(5)})--({-sqrt(10+2*sqrt(5))},{-1+sqrt(5)})--({-sqrt(50-22*sqrt(5))},{-1+sqrt(5)})--cycle}
%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,-18)},scale={7/(2*sqrt(10+2*sqrt(5)))},rotate=0]
\fill[nzwhite,scale={1+sqrt(5+2*sqrt(5))/7}] \star;
\fill[nzred] \star; %Alpha Crucis
\end{scope}
\begin{scope}[shift={(0,18)},scale={3/sqrt(10+2*sqrt(5))},rotate=0]
\fill[nzwhite,scale={1+sqrt(5+2*sqrt(5))/6}] \star;
\fill[nzred] \star; %Gamma Crucis
\end{scope}
%Inner scope for rotation of the Beta Crucis-Delta Crucis pair
\begin{scope}[shift={(0,6)},scale=1,rotate=8]
\begin{scope}[shift={(-14,0)},scale={3/sqrt(10+2*sqrt(5))},rotate=-8]
\fill[nzwhite,scale={1+sqrt(5+2*sqrt(5))/6}] \star;
\fill[nzred] \star; %Beta Crucis
\end{scope}
\begin{scope}[shift={(12,0)},scale={5/(2*sqrt(10+2*sqrt(5)))},rotate=-8]
\fill[nzwhite,scale={1+sqrt(5+2*sqrt(5))/5}] \star;
\fill[nzred] \star; %Delta Crucis
\end{scope}
\end{scope}
\end{scope}
\end{tikzpicture}
\end{center}
\end{document}