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Southern Cross designs

Proportion 5:8


Copyright © Gavin R. Putland, February 27, 1998. Not entered in any competition.

National Flag and Ensign:

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Military Flag and Ensign:

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Naval Ensign:

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Sports Flag:

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Geometric description

All four designs have the same geometry.

Let the flag be 100 units high and 160 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

     (90,0) (120,60) (90,100) (105,100) (138,62) (100,0)

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 .

Acknowledgment

The above National Flag design is a rearrangement and simplification of Dr Brendan Jones's "Reconciliation" design. Any other similarity between one of the above designs and an earlier design by another artist, published or unpublished, is coincidental.


Revision history

First published February 27, 1998. Image size adjusted March 1, 1998. Relocated with updated links, August 29, 2004. Revised, reformatted, and converted to web-safe colours in August, 2006.


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