Southern Cross designs

Proportion 2:3

National Flag and Ensign:

Flag image

Military Flag and Ensign:

Flag image

Naval Ensign:

Flag image

Sports Flag:

Flag image

Geometric description

All four designs have the same geometry.

Let the flag be 100 units high and 150 units long. Let each point on the flag be represented by the coordinates (x,y), where x is the distance from the left (pole) edge, and y is the distance from the bottom edge; that is, let (x,y) be Cartesian coordinates with the origin at the bottom left corner.

Then the vertices of the boomerang are

     (80,0) (110,60) (80,100) (95,100) (128,62) (90,0)

and the stars of the Southern Cross are arranged as follows:

                      Centre    Outer   Inner   No. of
                      coords.   diam.   diam.   Points

     Alpha Crucis     (50,17)    20       9        7
     Beta Crucis      (25,56)    20       9        7
     Gamma Crucis     (50,83)    20       9        7
     Delta Crucis     (72,62)    20       9        7
     Epsilon Crucis   (60,46)    11       5        5 .

Acknowledgments

The above designs are simply shortened versions of my earlier 5:8 designs on the same theme. The National Flag design is a rearrangement and simplification of Dr Brendan Jones's "Reconciliation" design.

Revision history

First published December 26, 1999. Relocated with updated links, August 29, 2004. Revised, reformatted, and converted to web-safe colours in August, 2006.

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