Combinatorial Symmetry Folds

Reply #2

JADELottery — Sun, 26 Nov 2006 22:25:50 GMT

Hyperdimension,

The Incorporate Symmetric Combinations under the Edit menu of JADE Lottery System Generator allows someone to balance a wheel through combinatorial symmetry. Wheels created by JADE LSG or by pasting into JADE LSG are analyzed for symmetry. If there are any symmetric combinations, JADE LSG gives the option of adding those combinations to the wheel and make it more balanced through combinatorial symmetry.

The advantage of having a symmetrically balanced wheel has to do with n... [ More ]

Reply #1

Hyperdimension — Sun, 26 Nov 2006 03:40:29 GMT

Hi JADELottery,

In your software Jade Lottery system generator it built symmetric designs or apply the symmetry to non-symmetric designs, are there any advantage using this method of wheels creation over traditional wheels?

Any answer is appreciated, thank's..

Combinatorial Symmetry Folds

JADELottery — Fri, 10 Nov 2006 22:43:39 GMT

Combinatorial Symmetry Folds

Reference - Combinatorial Symmetry

Combinatorial symmetry folding is a process that removes the non-self symmetric combinations. Using the combinatorial symmetry function, here's a example of a C(9,6) folded combinatorial set. Table 1 shows the combination set and the symmetry set side by side. The blue highlighted combinations are the primary set and the red highlighted combinations are the secondary set; the green highlighted are the self symmetric set. T... [ More ]