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A - E collisions

There are three relative alignments at which A and E gliders may meet, which could be called high, medium, and low. Besides that, since the E glider is extensible, there is a whole infinity of E thicknesses, which are actually paddings with $\alpha$ gliders. Therefore, the discussion of A-E collisions turns into a survey of $\alpha$ demolitions.


Table 3.7: A mid-collisions with En are periodic, repeating every time n increases by 16, with the proviso that an additional B glider is always produced every time n increases by 8.
n main extra n main extra
1 D1 . 17 D1 2B
2 E1 . 18 E 2B
3 EBar A 19 EBar A, 2B
4 EBar . 20 EBar B
5 EBar B 21 EBar 2B
6 F B 22 F 2B
7 C1 B 23 C1 2B
8 C2 B 24 C2 2B
9 D1 B 25 D1 2B
10 EBar 2A, B 26 EBar 2A, 3B
11 E2 B 27 E2 3B
12 EBar B 28 EBar 3B
13 EBar 2B 29 EBar 4B
14 BBar + F B 30 BBar + F 3B
15 BBar + F 2B 31 BBar + F 4B
16 C2 2B 32 C2 4B


When the A glider meets the $E_n$ glider in the low position, the reaction is very clean, always resulting in $E_{n-1}$ except that the nonexistent $E_0$ is a C3. Even so, the indexing is consistent because A collisions with C's lower their indices, C1 turning finally into an F.

Figure 3.7: Left: An A glider in a ``mid'' collision can be absorbed by an E glider which promptly transmutes into a D. Right: But in a different alignment, whatsoever E retracts, which makes a nice counterpart to the extension occasioned by B-E collisions.
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...}
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\end{picture}\end{figure}

Figure 3.8: An A glider can be absorbed by an E2 which then reverts to an E1.
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\put(0,0){\epsfxsize = 200pt \epsffile{AE2toE1.eps}}
\end{picture}\end{figure}

Figure 3.9: An A glider can be absorbed by an E3 which thereupon reverts to an EBar rather than to an E2, emitting a rightrunning A in the process. The alternatve result is due to the different relative alignment of the oncoming A.
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\put(0,0){\epsfxsize = 200pt \epsffile{AE3.eps}}
\end{picture}\end{figure}

Figure 3.10: An A glider can be absorbed by an E4 which reverts to a BBar rather than to an extended E. Note the isolated T10, which is a sure precursor of the EBar.
\begin{figure}\centering\begin{picture}(200,540)
\put(0,0){\epsfxsize = 200pt \epsffile{AE4.eps}}
\end{picture}\end{figure}


next up previous contents
Next: nA - EBar collisions Up: Collisions with A gliders Previous: A - D collisions   Contents
Jose Manuel Gomez Soto 2002-01-31