Oscillator Type Cell types Author
Lonely bee

Gen. 1
Gen. 5
Gen. 7
Gen. 9
 Per.9


IPS-osc.
The numbers are relevant for the limit matrix only. 		GJ
Cycle matrix Det = 0




See the 18x18 cycle matrix in a new window!




Note that this is the cycle matrix for the 18 noncasing cells. The jth row and column corresponds to the jth noncasing (nonyellow) cell of the initial pattern (count in read/write order). The numbers in the cell types box do not apply here. The ordering between the rows/columns are:
The 8 bushing stators (white)
The 6 primary rotors (blue)
The 4 secondary rotors (violet).
The cells within each group are taken in read/write order.
One can discover every block in the general normal form: I (8x8), P (6x6), G (4x8), H (4x6) and S (4x4).Hence the oscillator is of type IPS, possibly the smallest of this kind.
Limit matrix


Note:
Because of the symmetry of the pattern only the numbered cells of the cell type box need to be displayed here.
The components in the above fragment of the full limit matrix are given in rational and floating point form. Since the matrix is incomplete the row sums are not necessarily = 1.

Observe that the secondary rotor cell 6 is genetically influenced by the stator cells 1 and 2 at the rate 13/23 and 9/23 respectively. i.e. 22/23 together. The total genetic influx from all the primary rotor cells in the middle row is therefore only 1/23 index units.