0,0 → 1,935 |
#Life 1.05 |
#D Orthogonal sawtooth with expansion factor 25 |
#D Population is unbounded but does not tend to infinity. Its graph is a |
#D sawtooth function with ever-increasing teeth. More specifically, the |
#D population in generations t near 30 * 25^n is about 59t/225 if t is odd, |
#D about 7t/10 if t is even but not == 46 (mod 60), and about 211t/900 if |
#D t == 46 (mod 60); the population in generation 6 * 25^n - 1125 (n>=2) is |
#D only 1846. (Even more specifically, the population in generation |
#D t = 30 * 25^n - 525 (n>=1), is 59t/225 + 1951.) |
#D |
#D A shotgun produces a salvo of 4 eastward lightweight spaceships every 120 |
#D generations. Some are deleted; the others eventually catch up to a pair of |
#D c/3 spaceships and reflect off the backs of them, forming westward |
#D middleweight spaceships. When a MWSS returns to the shotgun, it causes the |
#D deletion of 5 salvos. (Notice the unusual eatering of a pi heptomino, by 2 |
#D blocks, that's used in this deletion.) So the region between the shotgun and |
#D the c/3s alternately becomes full and empty of spaceships. |
#D |
#D The c/3 spaceships were found by David Bell, who suggested this way of making |
#D a sawtooth. |
#D |
#D Dean Hickerson, dean@ucdmath.ucdavis.edu 8/26/92 |
#N |
#P 178 -48 |
..* |
.*.* |
...** |
..* |
...** |
..*** |
. |
.*..* |
..*.* |
....* |
...* |
.*.* |
..* |
..** |
. |
.*..* |
.....* |
..*..** |
.**** |
.**.* |
..*.* |
..*** |
...** |
**.* |
* |
* |
*** |
...** |
*..** |
.* |
..** |
.*** |
#P 162 4 |
.*** |
..** |
.* |
*..** |
...** |
*** |
* |
* |
**.* |
...** |
..*** |
..*.* |
.**.* |
.**** |
..*..** |
.....* |
.*..* |
. |
..** |
..* |
.*.* |
...* |
....* |
..*.* |
.*..* |
. |
..*** |
...** |
..* |
...** |
.*.* |
..* |
#P 173 -43 |
.* |
** |
#P 160 -46 |
....** |
...*** |
*.** |
*..* |
*.** |
...*** |
....** |
#P 148 -48 |
* |
** |
.** |
.*** |
.** |
** |
* |
#P 131 -51 |
....* |
..*.* |
** |
** |
** |
..*.* |
....* |
#P 127 -47 |
.* |
** |
* |
#P 121 -49 |
..** |
.* |
* |
* |
* |
.* |
..** |
#P 111 -46 |
** |
* |
#P 132 -36 |
.** |
.* |
. |
. |
**.* |
.*.* |
..* |
.** |
.** |
.** |
#P 156 20 |
.* |
** |
#P 142 18 |
...*.* |
.*...* |
.* |
* |
.* |
.*...* |
...*.* |
#P 131 16 |
** |
*..* |
....* |
....* |
....* |
*..* |
** |
#P 122 14 |
** |
.* |
.*.* |
..** |
#P 133 25 |
** |
.* |
#P 153 34 |
** |
.* |
#P 142 32 |
** |
*.* |
...* |
*..* |
...* |
*.* |
** |
#P 131 34 |
.* |
*.* |
**.* |
**.*.* |
**.* |
*.* |
.* |
#P 118 26 |
...* |
..** |
. |
...* |
..*.* |
.*..* |
*..* |
. |
...* |
..** |
#P 119 39 |
..** |
.*.* |
.* |
** |
#P 117 50 |
** |
.* |
#P 108 47 |
* |
*.* |
...** |
...** |
...** |
*.* |
* |
#P 90 49 |
....** |
....* |
.** |
*** |
.** |
....* |
....** |
#P 79 52 |
...* |
..**** |
.**.*.* |
***.*..* |
.**.*.* |
..**** |
...* |
#P 78 48 |
* |
** |
#P 75 34 |
.** |
*..* |
...* |
...* |
**.* |
.* |
. |
. |
..* |
.** |
#P 64 50 |
** |
*..* |
....* |
....* |
....* |
*..* |
** |
#P 55 52 |
** |
* |
#P 88 31 |
.....**** |
**.......* |
*...**...* |
.....*..* |
#P 122 -11 |
* |
*.* |
** |
#P 116 -24 |
...* |
....* |
*...* |
.**** |
#P 106 8 |
.**** |
*...* |
....* |
...* |
#P 97 6 |
.** |
**** |
**.** |
..** |
#P 99 -2 |
.* |
** |
*.* |
#P 89 -52 |
.* |
** |
#P 78 -54 |
* |
** |
.** |
.*** |
.** |
** |
* |
#P 73 -52 |
.* |
** |
#P 67 -56 |
* |
*.* |
.*.* |
.*..* |
.*.* |
*.* |
* |
#P 50 -59 |
** |
.* |
...** |
...*** |
...** |
.* |
** |
#P 33 -57 |
....* |
..*.* |
** |
** |
** |
..*.* |
....* |
#P 27 -54 |
* |
** |
#P 50 -50 |
** |
* |
#P 48 -44 |
.** |
.* |
. |
. |
*** |
** |
...** |
..*** |
.*.* |
.** |
#P 44 -35 |
** |
.* |
#P 37 -35 |
** |
* |
#P 68 -22 |
...* |
....* |
*...* |
.**** |
#P 56 -24 |
...* |
....* |
*...* |
.**** |
#P 52 -5 |
** |
.* |
.*.* |
..** |
#P 59 41 |
** |
.* |
#P 48 39 |
...* |
..** |
.** |
*** |
.** |
..** |
...* |
#P 30 41 |
....* |
..*.* |
.*.* |
*..* |
.*.* |
..*.* |
....* |
#P 25 43 |
* |
** |
#P 21 29 |
.** |
.* |
. |
.*..* |
*..* |
*.* |
.* |
. |
.** |
.* |
#P 64 26 |
.* |
** |
#P 53 23 |
...* |
..** |
.** |
*** |
.** |
..** |
...* |
#P 35 21 |
....* |
..*.* |
.*.* |
*..* |
.*.* |
..*.* |
....* |
#P 30 24 |
** |
* |
#P 44 27 |
*.* |
** |
.* |
#P 24 24 |
.* |
** |
*.* |
#P 46 8 |
.**** |
*...* |
....* |
...* |
#P 37 6 |
.** |
**** |
**.** |
..** |
#P 25 15 |
..*....* |
**.*..*.** |
**......** |
***....*** |
#P 24 -11 |
.*......* |
**.*..*.** |
.*.*..*.* |
..*....* |
#P 22 -41 |
.* |
*** |
. |
. |
. |
. |
*** |
.* |
#P 8 -22 |
...* |
....* |
*...* |
.**** |
#P -4 -24 |
...* |
....* |
*...* |
.**** |
#P 2 -5 |
..* |
*.* |
.** |
#P 3 22 |
.* |
.** |
. |
.* |
*.* |
*..* |
.*..* |
. |
.* |
.** |
#P 2 35 |
.* |
** |
#P -12 33 |
....* |
..*.* |
** |
** |
** |
..*.* |
....* |
#P -16 33 |
.* |
** |
* |
#P -22 31 |
..** |
.* |
* |
* |
* |
.* |
..** |
#P -32 33 |
** |
* |
#P -2 20 |
.* |
.** |
*.* |
#P -3 13 |
..** |
..* |
*.* |
** |
#P -12 15 |
..** |
.*.* |
* |
*..* |
* |
.*.* |
..** |
#P -26 17 |
*.* |
*..* |
...** |
.*...** |
...** |
*..* |
*.* |
#P -35 15 |
** |
.* |
.*.* |
..** |
#P -17 -1 |
......* |
.....* |
.*..*....* |
**.*..*.** |
....** |
#P 4 -50 |
.* |
** |
#P -5 -53 |
* |
*.* |
...** |
...** |
...** |
*.* |
* |
#P -23 -55 |
....** |
....* |
.** |
*** |
.** |
....* |
....** |
#P -39 -52 |
....* |
..*.* |
.*.* |
*..* |
.*.* |
..*.* |
....* |
#P -42 -48 |
* |
** |
#P -49 -50 |
...* |
..** |
.** |
*** |
.** |
..** |
...* |
#P -58 -48 |
* |
** |
#P -28 -35 |
..* |
*.* |
.** |
#P -37 -32 |
......** |
......*** |
*...*..*.* |
**..**..** |
....** |
#P -35 -2 |
.**.........** |
*..*.*...*.*..* |
***.........*** |
...**.....** |
..*..*****..* |
..**.......** |
#P -23 6 |
.** |
**** |
**.** |
..** |
#P -30 26 |
** |
*.* |
..* |
..** |
#P -38 21 |
*.* |
*...* |
....* |
.....* |
....* |
*...* |
*.* |
#P -54 23 |
...** |
.*..* |
* |
* |
* |
.*..* |
...** |
#P -62 28 |
..** |
.*.* |
.* |
** |
#P -65 21 |
.* |
*.* |
**.* |
**.** |
**.* |
*.* |
.* |
#P -82 19 |
** |
*.* |
...* |
*..* |
...* |
*.* |
** |
#P -91 21 |
** |
* |
#P -46 23 |
** |
*.* |
* |
#P -72 19 |
.** |
*.* |
..* |
#P -44 -1 |
** |
.* |
#P -55 -3 |
*.* |
*..* |
...** |
.*...** |
...** |
*..* |
*.* |
#P -73 -1 |
...* |
..*.* |
.*.** |
**.** |
.*.** |
..*.* |
...* |
#P -78 4 |
..** |
.*.* |
.* |
** |
#P -75 -5 |
..** |
..* |
*.* |
** |
#P -82 -3 |
* |
*.* |
...** |
...** |
...** |
*.* |
* |
#P -100 -1 |
....** |
....* |
.** |
*** |
.** |
....* |
....** |
#P -116 -4 |
....* |
..*.* |
.*.* |
*..* |
.*.* |
..*.* |
....* |
#P -119 -3 |
** |
* |
#P -126 -6 |
...* |
..** |
.** |
*** |
.** |
..** |
...* |
#P -135 -1 |
..** |
.*.* |
.* |
** |
#P -52 -22 |
...* |
....* |
*...* |
.**** |
#P -64 -24 |
...* |
....* |
*...* |
.**** |
#P -59 -35 |
** |
.* |
#P -73 -37 |
...*.* |
.*...* |
.* |
* |
.* |
.*...* |
...*.* |
#P -84 -35 |
** |
*..* |
....* |
....* |
....* |
*..* |
** |
#P -93 -30 |
..** |
.*.* |
.* |
** |
#P -81 -39 |
.* |
** |
#P -62 -48 |
.* |
** |
#P -73 -51 |
** |
*.* |
...* |
*..* |
...* |
*.* |
** |
#P -84 -53 |
.* |
*.* |
**.* |
**.*.* |
**.* |
*.* |
.* |
#P -96 -50 |
** |
* |
#P -97 -15 |
....** |
**..**..** |
*...*..*.* |
......*** |
......** |
#P -117 -50 |
** |
.* |
#P -126 -53 |
..* |
.*.* |
*...** |
*...** |
*...** |
.*.* |
..* |
#P -142 -51 |
** |
*.* |
.*** |
..*** |
.*** |
*.* |
** |
#P -151 -48 |
* |
** |
#P -112 -22 |
...* |
....* |
*...* |
.**** |
#P -124 -24 |
...* |
....* |
*...* |
.**** |
#P -122 -30 |
** |
*.* |
..* |
..** |
#P -131 -35 |
** |
.* |
...** |
...*** |
...** |
.* |
** |
#P -148 -37 |
....* |
..*.* |
** |
** |
** |
..*.* |
....* |
#P -154 -39 |
** |
.* |
.*.* |
..** |
#P -151 -30 |
** |
.* |
#P -164 -33 |
....** |
....* |
.** |
*** |
.** |
....* |
....** |
#P -174 -31 |
* |
*.* |
...** |
...** |
...** |
*.* |
* |
#P -185 -33 |
** |
.* |
.*.* |
..** |
#P -135 -18 |
..** |
.*** |
*.*..*...* |
**..**..** |
....** |
#P -153 -17 |
..**.......** |
..*.........* |
...********* |
***..*****..*** |
*..*..***..*..* |
.**.........** |
#P -135 -7 |
** |
.* |
#P -149 -9 |
....*.* |
...*..* |
..** |
**...* |
..** |
...*..* |
....*.* |
#P -160 -7 |
** |
*.* |
...* |
*..* |
...* |
*.* |
** |
#P -169 -5 |
* |
** |
#P -157 -10 |
.** |
** |
..* |
#P -185 -26 |
* |
*** |
...* |
..** |
#P -183 -17 |
**...** |
*.....* |
. |
.*...* |
..*** |
#P -181 -6 |
...* |
.**.** |
. |
*.....* |
. |
**...** |
#P -178 8 |
.* |
** |
#P -175 -14 |
** |
.** |
* |