#Life 1.05 #D Infinite glider hotel #D The name is derived from the old mathematical "infinity hotel" #D scenario, where a hotel with an infinite number of rooms always has #D room for more guests by shuffling the old guests around. #D Here two pairs of double Corderships are pulling slowly apart at #D c/12 such that there is an ever-lengthening glider track between #D them. Every 1920 generations another glider is injected into the #D glider track, joining the gliders already circulating there. #D Eventually an arbitrarily large number of gliders will be traveling #D around the track. #D The tricky bit to this construction is that even though all the #D previously injected gliders are repeatedly flying through the #D injection point, that point is guaranteed to be empty when it is #D time for the next glider to be injected! #D David Bell, dbell@pdact.pd.necisa.oz.au, Oct 9 1992 #N #P 13 -101 .....* . .*.......* *........* *...**....* *......*.* ......**.* . ....* #P 29 -91 ....* ..**.** . ..** ..* ....*...* *...* #P 39 -75 .....* . .*.......* *........* *...**....* *......*.* ......**.* . ....* #P 30 -82 .....* ..*.* .* ..** ..*.* ..*.* .*.** **.** ...*** #P 6 -98 ..*** ..*** *..** *.* *** #P 20 -83 ...* ..*.* ..*.* .*..* .*.* * ** .* #P 22 -72 .* *.* * * * #P 18 -66 ...* ..***.** **.*** ..* #P 21 -60 ..* .*.** **.*.** ....* ......* #P 28 -56 .**....** ...*.** ****.*.*** ....* #P -14 -71 ...*** . .* **...* .*.* ....*** ....* . ....** ...** ....* ...** ....** #P -7 -58 .......* *...*..*.*..* *****.**....* .*.*....*...* . ........*** .........* #P 12 -45 ...*** . .* **...* .*.* ....*** ....* . ....** ...** ....* ...** ....** #P -3 -93 ** ** #P -11 -85 ** ** #P -19 -77 ** ** #P 43 -55 ** ** #P 35 -47 ** ** #P 27 -39 ** ** #P 19 -31 ** ** #P 61 -67 .....** . ...*...* ..* .*.......* .....*....* *....*.*.* *........* *.**....* ***.**.* .**.*** #P 82 -50 .....* ...**.* ..* .*..*...* * **..** ** ..*.....* ***....* **....* .**** #P 92 -46 * * #P 87 -41 .....** . ...*...* ..* .*.......* .....*....* *....*.*.* *........* *.**....* ***.**.* .**.*** #P 74 -39 *.* *** .** #P 72 -34 .* .*.* .*** * ***** #P 83 -20 ..** **..* *..*** *....* .***** ...** #P 93 -19 * * * #P 57 -29 .* *.* .* ...* ...** .*..* .*** ..* #P 40 -30 ..*.* .**.** .**.* * .* .* #P 48 -22 ....* ...*** . ...*** **.** ..* #P 66 -4 ..*.* .**.** .**.* * .* .* #P 49 -56 ** ** #P 41 -48 ** ** #P 33 -40 ** ** #P 87 -10 ** ** #P 79 -2 ** ** #P 71 6 ** ** #P -98 61 ....**** ..*....** .*....*** *.....* .......** ...**..** ........* *...*..* ......* ..*.** ...* #P -100 66 * * #P -105 52 ....***.** ...*.**.*** ..*....**.* .*........* .*.*.*....* *....* .*.......* ........* ...*...* . ....** #P -79 78 ....***.** ...*.**.*** ..*....**.* .*........* .*.*.*....* *....* .*.......* ........* ...*...* . ....** #P -101 38 * * * #P -96 36 .** ***** *....* ***..* .*..** ..** #P -84 51 ***** ....* .*** .*.* ...* #P -84 58 ** *** *.* #P -69 43 ..* .*** *..* ** .* ...* ..*.* ...* #P -79 20 ....* ....* .....* .*.** **.** .*.* #P -61 38 ...* .**.** *** . *** .* #P -53 46 ....* ....* .....* .*.** **.** .*.* #P -80 14 ** ** #P -88 22 ** ** #P -96 30 ** ** #P -42 60 ** ** #P -50 68 ** ** #P -58 76 ** ** #P -57 88 ......* . .*.** .*.*......* *....**...* .*........* .*.......* . .....* #P -45 106 ....*...* *...* ......* .....** . ..**.** ....* #P -31 114 ......* . .*.** .*.*......* *....**...* .*........* .*.......* . .....* #P -18 115 ..*** ..*.* **..* *** *** #P -43 95 *** .**.** .**.* .*.* .*.* ..** ....* .*.* * #P -32 97 ...* ...** ....* .*.* *..* *.* *.* .* #P -32 89 ..* ..* ..* *.* .* #P -33 84 .....* ..***.** **.*** ....* #P -35 78 ..* **.*.** ..**.* ....* #P -45 74 .....* ***.*.**** ...**.* .**....**.* #P -26 54 .** ..** ..* ..** .** . ..* *** ...*.* .*...** .....* . .*** #P -13 73 ...* ..*** . *...*....*.* *....**.***** *..*.*..*...* .....* #P 0 80 .** ..** ..* ..** .** . ..* *** ...*.* .*...** .....* . .*** #P -28 51 ** ** #P -36 59 ** ** #P -44 67 ** ** #P -52 75 ** ** #P 10 97 ** ** #P 2 105 ** ** #P -6 113 ** ** #P 273 266 ..*....* **.****.** ..*....* #P 268 268 .* * * #P 266 273 **...** .***** ..*** ...* #P 269 284 ** ** #P -270 -286 ** ** #P -272 -279 ..*** . ..*.* .***** **...** **...** #P -274 -270 * ** *** ** * #P -283 -270 ..* .** *** .** ..* #P 41 0 ..** .*.* *** ** ** .*.* ..* #P 40 9 **...** **...** . ..*** ..*** ...* #P 38 20 ..*** ..*** .*...* . **...** #P 40 34 ** ** #P 34 12 ..*** ..* ...* .* .** *.* #P 27 23 ** .** * #P 19 30 .* .** *.* #P 30 39 ** ** #P 11 36 .**....* *..*..*.* .***.*.** ....**.** .....*.** ......*.* .......* #P 5 34 ..** .*.* * *..* * .*.* ..** #P -4 36 ** ** #P 3 -38 ** ** #P -8 -41 *.* *..* ...** .*...** ...** *..* *.* #P -16 -40 ....** ...*.* .*...* **.*** ...** #P -22 -43 ..** .*.* * *..* * .*.* ..** #P -31 -41 ** ** #P -22 -32 * *.* ** #P -30 -25 .* * *** #P -34 -27 ** ** #P -68 -25 ** ** #P -59 -28 ...* ..** .** *** .** ..** ...* #P -52 -26 ** ** ** #P -49 -30 ....* ..*.* .*.* *..* .*.* ..*.* ....* #P -80 -7 ** ** #P -71 -9 ..** .*.* * *..* * .*.* ..** #P -65 -7 .**....* *..*..*.* .***.*.** ....**.** .....*.** ......*.* .......* #P -42 -4 * **** .**** .*..* .**** **** * #P -33 -6 ...* ..*.* **...* **...* **...* ..*.* ...* #P -18 -4 ** ** #P -57 -13 .* .** *.* #P -41 -9 .* ** *.* #P -49 -21 .....* ****..* ..*.*** ...* * ...* * #P -34 -20 .**** *...* ....* *..* #P -4 -20 .**** *...* ....* *..* #P 6 -18 *** * .* #P -44 -45 .** ** ..* #P 63 63 .* ..* ***