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EBar Packets

Discovering the white, or erasure, leapfrog would have been a matter of more careful attention to detail in analyzing a mass of glider collision data. The black, or transmission, leapfrog is much more subtle, but not necessarily that much more remote. Although C3's do not figure in the (A trimer, D1, EBar) interaction, they aree one of the primitive gliders, and so their collisions would have been included in any comprehensive list of binary glider collisions.

Odd pairs either produce odd pairs, or dissipate. The products of dissipation being even, only A, B, or G combinations are possible; when collimated they may be useful, otherwise they become single gliders to return to their place amongst binary single glider collisions. Similarly, the separation of the members of an odd pair requires that they be used immediately in a multiple collision, or can be safely relagated to the domain of single collisions.

Noteworthy collimated combinations are the C1 dyad and the C1-C2 pair left over when E3's collide with EBar's. Someone apparently noticed that the combination could be useful; indeed the C1 dyad is essential to the Cyclic Tag System under discussion.

On the other hand, it was an obvious task to study collisions with C phalanxes, and only their overwhelming number impeded a really serious analysis. Many such combinations have proven useful in creating large T's through glider collision.

Whatever the story of its eventual discovery, the (C1 dyad, C3) leapfrog interacts with EBar's arriving from the right, although only one in three succeeds in passing through. Fortunate, indeed, that the same spacing holds in erasure mode! And that the attrition can be compensated by inserting more gliders into the stream.

One esoteric detail has to be respected. Although there can be an infinite cycle of C1 dyad - C3 alternations, it must begin and end precisely where the EBar contact is not separable. The height of the C3 column can be varied, as can the height of the C1 dyad column, with an adjustment in EBar spacing, so those are separable.

Otherwise EBar packets of arbitrary length can be accomodated. However, since the value of the predicate governing their forwarding cannot be known in advance if computation is to take place, programming must take into account that it is all transmission, or all erasure.

Figure 19, on the next page, shows one cycle, albeit not the phase used in the Cyclic Tag System, of the (C3, C1 dyad) cycle.

The final EBar sextet will release one finalt A triplet to interact with the shim separating packets, as shown in Figure 21

Figure 19: The sieve through which oncoming EBars pass is another leapfrog constructed from C3's and C1 doublets; it consumes two Ebars for every third one passed, starting its cycle on a C3 progenitor about a third of the way up from the bottom of the diagram. The separation of the rightmost EBar's is fixed, but the leading EBar can delay by offsetting in the A direction.
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Figure 20: One EBar in three gets by.
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next up previous contents
Next: Shimming Succeeding EBar Packs Up: ``Rule 110 is Universal!'' Previous: The Computation Cycle Begins   Contents
Harold V. McIntosh 2002-07-11