File:Civil Air Ensign of Australia.svg

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Civil_Air_Ensign_of_Australia.svg‎ (SVG file, nominally 1,200 × 600 pixels, file size: 3 KB)

[edit] Source

The file is based on File:Civil Air Ensign of the United Kingdom.svg.

The R source code used to create the SVG transformation matrices (translation then rotation in that order) is

(Public domain by ButterStick)

R <- matrix(c(cos(pi/4),sin(pi/4),0,-sin(pi/4),cos(pi/4),0,0,0,1),3,3); t <- pi/4 k <- sin(t); z <- (((1/10)/sin(t))*sin((pi/2)-t))-(1/24) y <- matrix (0,2,1) y[1]<-16.5*cos(t); y[2]<-16.5*sin(t); A <- diag(1,3); B <- diag(1,3); C <- diag(1,3); D <- diag(1,3); E <- diag(1,3); A[1,3] <- 8.5+y[1]*(z+(1/3)); A[2,3] <- y[2]*(z+(1/3)); C[1,3] <- 8.5+y[1]*-((1/3)-z); C[2,3] <- y[2]*-((1/3)-z); E[1,3] <- 8.5+y[1]*(z+(1/24))+16.5*(1/10)*cos(t); E[2,3] <- y[2]*(z+(1/24))-16.5*(1/10)*sin(t); B[1,3] <- 8.5+(y[1]*-((1/16)-z))-(16.5*(1/4)*sin(t)); B[2,3] <- (y[2]*-((1/16)-z))+(16.5*(1/4)*cos(t)); D[1,3] <- 8.5+(y[1]*-(((1/16)+(1/15))-z))+(16.5*(2/9)*sin(t)); D[2,3] <- (y[2]*-(((1/16)+(1/15))-z))-(16.5*(2/9)*cos(t));

I it is a bit clumsy but it was made ad-hoc/in one go without any planning.

The specifications (actually a paraphrase) are at [1]; the relevant parts are reproduced below if the archive purges the old message:

Included in the Gazette is a very detailed construction sheet. Unlike the New Zealand case, the dark blue cross itself is 1/10 the width of the fly, with fimbriations 1/3 of its width, leading to a total width for the cross+fimbriations of 1/6 the width of the fly, rather than 1/5. The Union Jack is constructed following hte usual rules in a 5:11 canton. The Commonwealth Star has, as in the national flag, an outer diameter 3/5 the width of the Union Jack. (Of course, in this case, this is not the same as the 3/10 of the fly specified in the Flags Act.)

The stars of the Southern Cross are tilted 45 degrees, so that Alpha and Gamma lie on the line from the lower fly corner to the centre of the top of the flag. They definitely have points pointing in that direction, although to the casual glance, the difference between pointing this way and pointing up in 7-pointed stars is not that significant. Say this line is 'A' and it contains a point 'B', the centre of the southern cross. Then the centre of each star is given as: Alpha: 1/3 of the width of the fly from B along A towards the lower fly. Beta: 1/4 the width of the fly from A towards the bottom of the flag along a line at right angles to A, meeting A 1/16 the width of the fly from B towards the top of the flag. Gamma: 1/3 of the width of the fly from B along A towards the top of the flag. Delta: 2/9 the width of the fly from A towards upper fly along a line at right angles to A meeting A 1/16+1/15 the width of the fly from B towards the top of the flag. Epsilon: 1/10 the width of the fly from A towards upper fly along a line at right angles to A, meeting A 1/24 the width of the fly from B towards the lower fly.

Alpha, Beta, Gamma and Delta have outer diameters 1/7 the width of the fly and are 7 pointed, Epsilon has outer diamter 1/12 the width of the fly and is five pointed. All stars (including the Commonwealth Star) have inner diameters 4/9 their outer diameter. This means that the Southern Cross is identical to that in the national flag, except for the tilt and the movement of the centre of the cross (B) from the centre of the fly towards the lower fly corner. It is not exactly clear where B is. It could be 1/16 thh width of the fly from the centre, so that the line from the centre of Beta meets A in the centre of the fly, but it looks similarly close to the point which makes the centre of Epsilon fall vertically in the centre of the main cross. Either way, the placement is obviously intended to ensure that Epsilon is in the cross and all the others are clear of it.

[edit] Licensing

This image has been released into the public domain by its author, ButterStick. This applies worldwide.

In some countries this may not be legally possible; if so:
ButterStick grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

File history

Click on a date/time to view the file as it appeared at that time.

	Date/Time	Thumbnail	Dimensions	User	Comment
current	06:01, 2 August 2009		1,200×600 (3 KB)	ButterStick (talk \| contribs)	(The stars still look a bit odd to me.)
	01:17, 2 August 2009		600×300 (5 KB)	ButterStick (talk \| contribs)	(Reverted to version as of 13:46, 4 June 2006)
	01:17, 2 August 2009		1,200×600 (3 KB)	ButterStick (talk \| contribs)	(From File:Civil Air Ensign of the United Kingdom.svg; a paraphrase of the specification from [http://www.mail-archive.com/fotw@googlegroups.com/msg00336.html].)
	13:46, 4 June 2006		600×300 (5 KB)	Nightstallion (talk \| contribs)	({{GFDL}} SVG Image drawn by Trisreed from FOTW Flags Of The World website at http://flagspot.net/flags/. Original image sourced from [http://www.crwflags.com/fotw/flags/au_cae.html]. Category:Flags of Australia Category:SVG flags)