dvgrn wrote:Makes me wonder if there's a one-bit p60 solution.
I'm searching for one bit solution - it's less trivial than it seems. One bit sometimes explodes locally, but then converges, it has some high probability of dying out unlike "wider" option gates.
dvgrn wrote:do you think this P60 model has a chance of being competitive, when you take into account the construction cost of everything including the carrier PULL signal?
We have latelly some novelties in slow salvo - so being competitive to current state of slow salvo is hard. But I can point out few interesting positive points for this approach:
1. p60 is fast. The recovery is very quick, quicker than the stable circuitry, although not by order of magnitude.
2. p60 has historical meaning. Showing that in principle Gosper could build Gemini is interesting.
3. This is entirely different approach toward self replication - oscillator based Geminoid has theoretical value.
4. Using older technology is fun. Imagine seeing Gosper guns and other p30 circuitry coding themselves.
dvgrn wrote:Technically the single-channel toolkit is a one-bit P1 universal constructor
This is not single bit in the sense that you could code distance from the second glider. You actually had a range of [-20,20] or so to code your operations. This is why stable circuit makes so much sense to use, single glider can code huge amount of data using timing alone. p60 don't have this privilege.
In my sample of 2 bits, I have only 3 valid options to code operations (push, pull, and general), this very much limits the options.
EDIT Here is a single bit monochromatic:
It uses only two options to code, while one option is a subset of the other (so this is "true" single bit):
Code: Select all
x = 12, y = 9, rule = LifeHistory
9.3A$11.A$10.A$.2D$D.D$2.D$6.3A$8.A$7.A!
The pull-push-emit operations coded with single bit:
Code: Select all
x = 15612, y = 8457, rule = LifeHistory
15610.2C$15610.2C41$10238.2C$10238.2C20$1331.2C$1331.2C62$15488.3C$
15490.C$15489.C4$15485.3C$15487.C$15486.C34$10116.3C$10118.C$10117.C
4$10113.3C$10115.C$10114.C13$1209.3C$1211.C$1210.C4$1206.3C$1208.C$
1207.C49$15368.3C$15370.C$15369.C$15360.2C$15359.C.C$15361.C$15365.3C
$15367.C$15366.C34$9996.3C$9998.C$9997.C$9988.2C$9987.C.C$9989.C$
9993.3C$9995.C$9994.C13$1089.3C$1091.C$1090.C$1081.2C$1080.C.C$1082.C
$1086.3C$1088.C$1087.C49$15248.3C$15250.C$15249.C$15240.2C$15239.C.C$
15241.C$15245.3C$15247.C$15246.C34$9876.3C$9878.C$9877.C$9868.2C$
9867.C.C$9869.C$9873.3C$9875.C$9874.C13$969.3C$971.C$970.C$961.2C$
960.C.C$962.C$966.3C$968.C$967.C49$15128.3C$15130.C$15129.C4$15125.3C
$15127.C$15126.C34$9756.3C$9758.C$9757.C4$9753.3C$9755.C$9754.C13$
849.3C$851.C$850.C4$846.3C$848.C$847.C49$15008.3C$15010.C$15009.C$
15000.2C$14999.C.C$15001.C$15005.3C$15007.C$15006.C34$9636.3C$9638.C$
9637.C$9628.2C$9627.C.C$9629.C$9633.3C$9635.C$9634.C13$729.3C$731.C$
730.C4$726.3C$728.C$727.C49$14888.3C$14890.C$14889.C$14880.2C$14879.C
.C$14881.C$14885.3C$14887.C$14886.C34$9516.3C$9518.C$9517.C$9508.2C$
9507.C.C$9509.C$9513.3C$9515.C$9514.C13$609.3C$611.C$610.C4$606.3C$
608.C$607.C49$14768.3C$14770.C$14769.C$14760.2C$14759.C.C$14761.C$
14765.3C$14767.C$14766.C34$9396.3C$9398.C$9397.C$9388.2C$9387.C.C$
9389.C$9393.3C$9395.C$9394.C13$489.3C$491.C$490.C4$486.3C$488.C$487.C
49$14648.3C$14650.C$14649.C4$14645.3C$14647.C$14646.C34$9276.3C$9278.
C$9277.C4$9273.3C$9275.C$9274.C13$369.3C$371.C$370.C4$366.3C$368.C$
367.C49$14528.3C$14530.C$14529.C$14520.2C$14519.C.C$14521.C$14525.3C$
14527.C$14526.C34$9156.3C$9158.C$9157.C$9148.2C$9147.C.C$9149.C$9153.
3C$9155.C$9154.C13$249.3C$251.C$250.C$241.2C$240.C.C$242.C$246.3C$
248.C$247.C49$14408.3C$14410.C$14409.C$14400.2C$14399.C.C$14401.C$
14405.3C$14407.C$14406.C34$9036.3C$9038.C$9037.C4$9033.3C$9035.C$
9034.C13$129.3C$131.C$130.C$121.2C$120.C.C$122.C$126.3C$128.C$127.C
49$14288.3C$14290.C$14289.C$14280.2C$14279.C.C$14281.C$14285.3C$
14287.C$14286.C34$8916.3C$8918.C$8917.C$8908.2C$8907.C.C$8909.C$8913.
3C$8915.C$8914.C13$9.3C$11.C$10.C$.2C$C.C$2.C$6.3C$8.C$7.C49$14168.3C
$14170.C$14169.C4$14165.3C$14167.C$14166.C34$8796.3C$8798.C$8797.C$
8788.2C$8787.C.C$8789.C$8793.3C$8795.C$8794.C70$14048.3C$14050.C$
14049.C$14040.2C$14039.C.C$14041.C$14045.3C$14047.C$14046.C34$8676.3C
$8678.C$8677.C4$8673.3C$8675.C$8674.C70$13928.3C$13930.C$13929.C$
13920.2C$13919.C.C$13921.C$13925.3C$13927.C$13926.C34$8556.3C$8558.C$
8557.C$8548.2C$8547.C.C$8549.C$8553.3C$8555.C$8554.C70$13808.3C$
13810.C$13809.C$13800.2C$13799.C.C$13801.C$13805.3C$13807.C$13806.C
34$8436.3C$8438.C$8437.C$8428.2C$8427.C.C$8429.C$8433.3C$8435.C$8434.
C70$13688.3C$13690.C$13689.C4$13685.3C$13687.C$13686.C34$8316.3C$
8318.C$8317.C$8308.2C$8307.C.C$8309.C$8313.3C$8315.C$8314.C70$13568.
3C$13570.C$13569.C$13560.2C$13559.C.C$13561.C$13565.3C$13567.C$13566.
C34$8196.3C$8198.C$8197.C4$8193.3C$8195.C$8194.C70$13448.3C$13450.C$
13449.C$13440.2C$13439.C.C$13441.C$13445.3C$13447.C$13446.C34$8076.3C
$8078.C$8077.C$8068.2C$8067.C.C$8069.C$8073.3C$8075.C$8074.C70$13328.
3C$13330.C$13329.C$13320.2C$13319.C.C$13321.C$13325.3C$13327.C$13326.
C34$7956.3C$7958.C$7957.C$7948.2C$7947.C.C$7949.C$7953.3C$7955.C$
7954.C70$13208.3C$13210.C$13209.C4$13205.3C$13207.C$13206.C34$7836.3C
$7838.C$7837.C$7828.2C$7827.C.C$7829.C$7833.3C$7835.C$7834.C70$13088.
3C$13090.C$13089.C$13080.2C$13079.C.C$13081.C$13085.3C$13087.C$13086.
C34$7716.3C$7718.C$7717.C4$7713.3C$7715.C$7714.C70$12968.3C$12970.C$
12969.C4$12965.3C$12967.C$12966.C34$7596.3C$7598.C$7597.C$7588.2C$
7587.C.C$7589.C$7593.3C$7595.C$7594.C70$12848.3C$12850.C$12849.C$
12840.2C$12839.C.C$12841.C$12845.3C$12847.C$12846.C34$7476.3C$7478.C$
7477.C4$7473.3C$7475.C$7474.C70$12728.3C$12730.C$12729.C4$12725.3C$
12727.C$12726.C34$7356.3C$7358.C$7357.C4$7353.3C$7355.C$7354.C70$
12608.3C$12610.C$12609.C$12600.2C$12599.C.C$12601.C$12605.3C$12607.C$
12606.C34$7236.3C$7238.C$7237.C4$7233.3C$7235.C$7234.C70$12488.3C$
12490.C$12489.C$12480.2C$12479.C.C$12481.C$12485.3C$12487.C$12486.C
34$7116.3C$7118.C$7117.C4$7113.3C$7115.C$7114.C70$12368.3C$12370.C$
12369.C4$12365.3C$12367.C$12366.C34$6996.3C$6998.C$6997.C$6988.2C$
6987.C.C$6989.C$6993.3C$6995.C$6994.C70$12248.3C$12250.C$12249.C$
12240.2C$12239.C.C$12241.C$12245.3C$12247.C$12246.C34$6876.3C$6878.C$
6877.C$6868.2C$6867.C.C$6869.C$6873.3C$6875.C$6874.C70$12128.3C$
12130.C$12129.C$12120.2C$12119.C.C$12121.C$12125.3C$12127.C$12126.C
34$6756.3C$6758.C$6757.C$6748.2C$6747.C.C$6749.C$6753.3C$6755.C$6754.
C70$12008.3C$12010.C$12009.C4$12005.3C$12007.C$12006.C34$6636.3C$
6638.C$6637.C4$6633.3C$6635.C$6634.C70$11888.3C$11890.C$11889.C$
11880.2C$11879.C.C$11881.C$11885.3C$11887.C$11886.C34$6516.3C$6518.C$
6517.C4$6513.3C$6515.C$6514.C70$11768.3C$11770.C$11769.C4$11765.3C$
11767.C$11766.C34$6396.3C$6398.C$6397.C4$6393.3C$6395.C$6394.C70$
11648.3C$11650.C$11649.C4$11645.3C$11647.C$11646.C34$6276.3C$6278.C$
6277.C$6268.2C$6267.C.C$6269.C$6273.3C$6275.C$6274.C70$11528.3C$
11530.C$11529.C4$11525.3C$11527.C$11526.C34$6156.3C$6158.C$6157.C4$
6153.3C$6155.C$6154.C70$11408.3C$11410.C$11409.C4$11405.3C$11407.C$
11406.C34$6036.3C$6038.C$6037.C$6028.2C$6027.C.C$6029.C$6033.3C$6035.
C$6034.C70$11288.3C$11290.C$11289.C$11280.2C$11279.C.C$11281.C$11285.
3C$11287.C$11286.C34$5916.3C$5918.C$5917.C$5908.2C$5907.C.C$5909.C$
5913.3C$5915.C$5914.C70$11168.3C$11170.C$11169.C$11160.2C$11159.C.C$
11161.C$11165.3C$11167.C$11166.C34$5796.3C$5798.C$5797.C4$5793.3C$
5795.C$5794.C70$11048.3C$11050.C$11049.C$11040.2C$11039.C.C$11041.C$
11045.3C$11047.C$11046.C34$5676.3C$5678.C$5677.C4$5673.3C$5675.C$
5674.C70$10928.3C$10930.C$10929.C4$10925.3C$10927.C$10926.C34$5556.3C
$5558.C$5557.C4$5553.3C$5555.C$5554.C112$5436.3C$5438.C$5437.C4$5433.
3C$5435.C$5434.C112$5316.3C$5318.C$5317.C4$5313.3C$5315.C$5314.C112$
5196.3C$5198.C$5197.C$5188.2C$5187.C.C$5189.C$5193.3C$5195.C$5194.C
112$5076.3C$5078.C$5077.C$5068.2C$5067.C.C$5069.C$5073.3C$5075.C$
5074.C112$4956.3C$4958.C$4957.C$4948.2C$4947.C.C$4949.C$4953.3C$4955.
C$4954.C112$4836.3C$4838.C$4837.C4$4833.3C$4835.C$4834.C112$4716.3C$
4718.C$4717.C$4708.2C$4707.C.C$4709.C$4713.3C$4715.C$4714.C112$4596.
3C$4598.C$4597.C$4588.2C$4587.C.C$4589.C$4593.3C$4595.C$4594.C112$
4476.3C$4478.C$4477.C4$4473.3C$4475.C$4474.C112$4356.3C$4358.C$4357.C
$4348.2C$4347.C.C$4349.C$4353.3C$4355.C$4354.C112$4236.3C$4238.C$
4237.C4$4233.3C$4235.C$4234.C112$4116.3C$4118.C$4117.C4$4113.3C$4115.
C$4114.C112$3996.3C$3998.C$3997.C$3988.2C$3987.C.C$3989.C$3993.3C$
3995.C$3994.C112$3876.3C$3878.C$3877.C4$3873.3C$3875.C$3874.C112$
3756.3C$3758.C$3757.C4$3753.3C$3755.C$3754.C112$3636.3C$3638.C$3637.C
$3628.2C$3627.C.C$3629.C$3633.3C$3635.C$3634.C112$3516.3C$3518.C$
3517.C$3508.2C$3507.C.C$3509.C$3513.3C$3515.C$3514.C112$3396.3C$3398.
C$3397.C4$3393.3C$3395.C$3394.C112$3276.3C$3278.C$3277.C$3268.2C$
3267.C.C$3269.C$3273.3C$3275.C$3274.C112$3156.3C$3158.C$3157.C4$3153.
3C$3155.C$3154.C112$3036.3C$3038.C$3037.C$3028.2C$3027.C.C$3029.C$
3033.3C$3035.C$3034.C112$2916.3C$2918.C$2917.C$2908.2C$2907.C.C$2909.
C$2913.3C$2915.C$2914.C112$2796.3C$2798.C$2797.C4$2793.3C$2795.C$
2794.C112$2676.3C$2678.C$2677.C$2668.2C$2667.C.C$2669.C$2673.3C$2675.
C$2674.C112$2556.3C$2558.C$2557.C$2548.2C$2547.C.C$2549.C$2553.3C$
2555.C$2554.C112$2436.3C$2438.C$2437.C4$2433.3C$2435.C$2434.C112$
2316.3C$2318.C$2317.C$2308.2C$2307.C.C$2309.C$2313.3C$2315.C$2314.C
112$2196.3C$2198.C$2197.C$2188.2C$2187.C.C$2189.C$2193.3C$2195.C$
2194.C112$2076.3C$2078.C$2077.C4$2073.3C$2075.C$2074.C112$1956.3C$
1958.C$1957.C$1948.2C$1947.C.C$1949.C$1953.3C$1955.C$1954.C112$1836.
3C$1838.C$1837.C4$1833.3C$1835.C$1834.C!