Elegant shapeloop Patterns

[bprentice]

Not only does the shapeloop rule evolve mutant loops but the thread describing the behavior of the rule has also mutated. This thread is yet another mutation.

Rather than describe what elegant patterns are, I will simply show a collection of examples.

My favorite is this expanding stretcher by Sphenocorona:

Code: Select all

x = 135, y = 96, rule = shapeloop
132.IDI$133.AH$133.DH$133.AH$133.DH$133.AH$133.DH$133.AH$133.DH$133.A
H$133.DH$133.AH$133.DH$133.AH$133.DH$133.AH$133.DH$133.AH$133.DH$133.
AH$133.DH$133.AH$133.DH$133.AH$133.DH$133.AH$133.DH$133.AH$133.DH$
133.AH$133.DH$133.AH$133.DH$133.AH$133.DH$133.AH$133.DH$133.AH$133.DH
$133.AH$133.DH$133.AH$133.DH$133.AH$133.DH$133.AH$133.DH$133.AH$133.D
H$133.AH$133.DH$133.AH$133.DH$133.AH$133.DH$133.AH$133.DH$133.AH$133.
DH$133.AH$133.DH$133.AH$133.DH$133.AH$133.DH$133.AH$133.DH$133.AH$
133.DH$133.AH$133.DH$133.KH$103.2DCB5A2DA3D4A2DA3D4A2D$103.A29HA$103.
DH24.2I2HD$103.DH24.H2A2D$82.2A2DA3D4A2DA3D4AH21.4HA$82.A21H21.HDA2DA
$63.3A2DA3D4A2DA3DAH36.6HD$63.A19H36.HABC2DAD$47.9A2DA2DCBAH46.9HA$
47.A16H46.HA3DA2D3A$33.2DCB2DCBDCDF3AH51.11HA$33.A14H51.H4A3DA2D2A$
22.A2DCB5A2DH51.14HD$22.D11H51.HC2DA2D4A3DAD$13.5A2DA2DH46.16HB$13.B
9H46.H2D4A3DA2D5A$7.A2DA2DCH36.19HA$7.A6H36.H2ABC2DA3DA2D4A3D$3.3D2AH
21.21HA$3.AHJH2J20.H4A3DA2D4A3DA2D2A$2A2DHI24HD$A2H2JHDA2D4A3DA2D5ABC
2DAD$A5HD$ABC2DAD!

Three oscillators by Extrementhusiast:

Code: Select all

x = 430, y = 58, rule = shapeloop
241.AFDADA$241.A4HD$241.AH2.HB$241.AH2.HD$237.5AH2.HDC3DC$237.A4H4.5H
D$237.AH11.HD$237.AH11.HB$237.AH11.H2D3A$237.AH12.4HA$237.AH15.HA$
233.5AH15.HA$233.A4H13.4HA$233.AH15.H20AFDADADBD140.DB3A$13.J219.AH
15.HA4.22HD140.D3HA$8.4AFA219.D4H12.HA25.HC140.DH.HAF2DC2D$8.A4HJ219.
DB2DCH11.HA25.HD140.DH2.6HD$8.AH227.DH11.HA25.H2DC2D136.CH7.HD$8.AH
227.DH11.HA26.4HB136.DH6.JHB$4.5AH227.D13HA29.HD134.AFDH6.3A$4.A4H
228.C2DBDADADF5A29.HD134.A2H7.J$4.AH217.6A49.4HA134.AH$4.AH217.A4HA
48.H5A134.AH$4.AH24.AB2DC188.AH2.HA48.HA138.AH$4.AH24.D3HD188.AH2.HF
48.HA138.BH$4.AH24.AH.HD184.5AH2.HDA2DCD43.HA138.DH$2D3AH24.DH.HC184.
A4H4.5HD42.JHA138.DH$B4H21.ADADAH.H2DBD181.AH11.HD42.3A138.DH$DH24.D
4H3.3HD181.AH11.HC42.J137.2DCD$D4H21.FH8.HA181.AH11.HD180.FJHD$C2DCDH
20.AH8.HA177.2D3AH11.HD180.A2HD$4.DH20.AH8.HA177.B4H12.HB180.A2HD$4.B
H20.AH8.HA177.DH15.HD180.3AB$4.A17H4.AH8.HA177.DH15.HD$4.DADADADADF
13AH8.HA177.C4H12.HA$22.A4H9.HA177.3DCDH11.HA$22.AH12.HA181.DH11.HA$
22.A4H9.HA181.BH11.HA$22.5AH8.HA181.D5H4.4HA$26.AH8.HA181.ADADFAH2.H
22AFDAD$26.AH8.HA186.AH2.HA4.20HA$26.A3H3.4HA186.AH2.HA23.HD$26.A2DBH
.H5A186.A4HA23.HB$29.DH.HA190.6A23.H2DC2D$29.DH.HA220.4HD$29.C3HA223.
HC$29.2DADF223.HD$254.4HD$253.H2A2DB$253.HA$253.HA$246.4JI2.HA$245.5A
4HA$245.F3HJ5A$245.AH2.HA$245.AH2.HA$245.A4HA$245.6A!

An oscillator by c0b0p0:

Code: Select all

x = 11, y = 8, rule = shapeloop
G2DC2DB2DCD$.A8HA$.DH2.2I3HA$.AH2.H5A$.AH2.HA$.AH2.HA$.C4HA$.2DADFA!

Two stretchers by alexv:

Code: Select all

x = 59, y = 49, rule = shapeloop
44.DC2DF$7.J36.D3HD$4.DCDA36.BH.HA$4.A2HJ36.DH.HD$4.AH38.DH.HAD3A$4.D
H38.CH2.4HA$3ADAH16.DC2DF17.DH5.HA$A4H17.D3HD17.AH3.J2HA$AH20.BH.HA
17.DH3.DADA$A17H4.DH.HD17.CH3.J$ADADADF2DC2DB2DCDADADCDH.HA17.DH$18.C
4H2.HD17.AH$18.DH5.HA17.AH$18.A7HA17.DH$18.ADAD5A9.2DFDA3.AH$36.C3HD
3.DH$36.DH.HA3.AH$36.DH.HD3.AH$36.BH.H5A$36.DH2.4HA$36.DH5.HA$36.C7HD
$36.DADCD2ADA5.DC2DF$50.D3HD$10.DCDADC2DB31.BH.HA$10.A7HD31.DH.HD$10.
AH5.HD31.DH.HAD3A$10.D4H2.HC31.CH2.4HA$10.AD3AH.HD31.DH5.HA$14.AH.HD
31.AH3.J2HA$14.AH.HF31.DH3.DADA$14.A3HD31.CH3.J$14.ADADADAD7ADAD2ADCD
13.DH$19.17HA13.AH$35.HD13.AH$33.I2HC13.DH$33.DB2D13.AH$33.J16.DH$50.
AH$50.AH$42.ADAD5A$42.D7HA$42.FH5.HA$42.DH2.4HD$42.DH.HD2ADA$42.CH.HC
$42.DH.HD$42.D3HA$42.B2DCD!

Code: Select all

x = 7, y = 11, rule = shapeloop
2.2DCAD$2.A3HD$2.DH.HC$2.AH.HD$AEDH.HD$B2HJ2HB$DH.HDEA$DH.HA$CH.HD$D
3HA$DAC2D!

A knight ship by Scorbie:

Code: Select all

x = 24, y = 25, rule = shapeloop
13.G$9.2D2AB$9.D3HD$9.CH.HA$9.AH.HC$9.DH.HD$6.2AFDH.HD$6.A3H2.HDAB3D$
6.AH5.5HD$6.AH9.HA$6.AH9.H6A$7AH10.5HA$A6H15.HA$AH15.6HA$A5H10.H7A$6A
H9.HA$5.AH9.HA$5.D5H5.HA$5.3DBADH2.3HA$10.DH.HDF2A$10.DH.HD$10.CH.HA$
10.AH.HC$10.D3HD$10.B2A2D!

A spiral by Scorbie:

Code: Select all

x = 6, y = 6, rule = shapeloop
6A$E4HA$D4HA$D2HD2A$D2HC$CDCB!

A 2D replicator by Tezcatlipoca:

Code: Select all

x = 25, y = 24, rule = shapeloop
7$7.3AC$7.A2HA$7.AHJ4A$5.BFDHJ3HA$5.D2H2.2JHA$5.AJ2HJHBDA$5.3ACJHF$5.
G2.A2HD$8.4A!

And finally another 2D replicator by Extrementhusiast:

Code: Select all

x = 32, y = 32, rule = shapeloop
4.ADADADADADADADADADADADAD$4.D22HD$4.AH20.HC$4.DH20.HD$ADADAH20.HDB2D
A$D4H22.4HA$AH28.HA$DH28.HA$AH28.HA$DH28.HA$AH28.HA$DH28.HA$EH28.HA$A
H28.HA$AH28.HA$AH28.HA$AH28.HA$AH28.HA$AH28.HA$AH28.HF$AH28.HD$AH28.H
A$AH28.HD$AH28.HA$AH28.HD$AH28.HA$A4H22.4HD$A2DBDH20.HADADA$4.DH20.HD
$4.CH20.HA$4.D22HD$4.DADADADADADADADADADADADA!

I hope that those of you who are exploring shapeloop will add to this collection.

Brian Prentice

[c0b0p0]

A spiral by Scorbie:

If you consider "spirals" (otherwise normal loops that fill the plane with a regular agar) to be elegant, then here are three other elegant patterns.

Code: Select all

x = 201, y = 165, rule = shapeloop-ltd
99.EDADADAD$99.D6HA$99.DH2.2IHD$99.AH2.H3A$99.DH2.HD$99.DH2.HD$99.D4H
C$99.CDCB2D85$A2DCD$C3HA$AH.H3A$AH2.2HD$A4HJA$BAC2AFD$G53$195.2DCBCD$
195.A4HC$193.D2AH2.HD$193.AH2I2.HD$193.D6HD$193.ADADF2DA$192.HK$192.H
A$192.HD$192.HA$192.HD$192.HA$192.HD$192.IAI!

[bprentice]

c0b0p0,

I included Scorbie's spiral because of its small size and because it won the self replicator competition. Your pattern is in no way elegant!

Brian Prentice