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Hints for formatting the data of your submitted packings



Section 1: Packings of equal and unequal circles in fixed-sized containers with maximum packing density

Circles in a square Circles in a circle Circles in rectangles Circles in an isosceles right triangle Circles in a semicircle Circles in a circular quadrant
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18-Oct-2013 23-Apr-2014 25-Jun-2013 18-Mar-2011 16-Apr-2011 04-Jul-2011
Circles in a square Circles in a circle
Circles in a 1x0.10000 rectangle
Circles in a 1x0.20000 rectangle
Circles in a 1x0.30000 rectangle
Circles in a 1x0.40000 rectangle
Circles in a 1x0.50000 rectangle
Circles in a 1x0.60000 rectangle
Circles in a 1x0.70000 rectangle
Circles in a 1x0.80000 rectangle
Circles in an isosceles right triangle Circles in a semicircle Circles in a circular quadrant
calculation form calculation form calculation form


Circles in a circle (ri = i)     Circles in a circle (ri = i+1/2)     Circles in a circle (ri = i-1/2)     Circles in a circle (ri = i-2/3)     Circles in a circle (ri = i-1/5)     Circles in a circle (benchmark instances)     Packomania's wizard
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25-Mar-2013 26-Jul-2013 22-Apr-2014 11-Aug-2013 09-Aug-2013 22-Apr-2014 08-Sep-2011
Circles in a circle Circles in a circle Circles in a circle Circles in a circle Circles in a circle Circles in a circle


The probably densest irregular packing ever found by computers and humans, of course, like André Müller: ccin200.

Circles in a square (ri = i)     Circles in a square (ri = i+1/2)     Circles in a square (ri = i-1/2)    
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21-May-2013 14-May-2013 08-May-2013
Circles in a square Circles in a square Circles in a square


Section 2: Packings of equal and unequal circles in variable-sized containers with maximum packing density

Circles in rectangles with variable aspect ratio     Circular open dimension problem (CODP)
Last updated: Last updated:
10-Dec-2011 01-Nov-2012
Circles in rectangles with variable aspect ratio Circular open dimension problem (CODP)




Section 3: Packings of equal spheres in fixed-sized containers with maximum packing density

Spheres in a cube
Last updated:
25-Jun-2013
Spheres in a cube



©  E. Specht     23-Apr-2014