EXAMPLES These are taken from my collection of over 6000 Hanmer Tiles, to show their diversity. Paste the text below into a text editor and call it "HT_Eg.l", saving it in your Fractint folder. Then you're ready to try the pieces in Fractint as type Lsystem. (NB If any of the longer lines of these examples wrap onto 2 or more lines, they must end up as 1 line again to work in Fractint.) sq20004* { ; Anthony Hanmer 11/10/2002 Angle 4 ; 4th 2x2 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f; Unexpected (as 1-sided interior) but true f=f+f+f|g-g+f g=gg } sq20005~ { ; Anthony Hanmer 15/10/2002 Angle 4 ; 5th 2x2 square tile... Axiom f ; when put with its mirror image. ; One of my VERY best HTs ; X-axis reflectional symmetry f=f+!f|!f+f } sq20005r { ; Anthony Hanmer 9/9/2003 Angle 4 ; 5th 2x2 square tile... Axiom f ; when put with its mirror image. ; One of my VERY best HTs ; X-axis reflectional symmetry f=g|f|g+!f|!f+g|f|g g=gg } sq20006~ { ; Anthony Hanmer 15/10/2002 Angle 4 ; 6th 2x2 square tile... Axiom f ; when put with its mirror image. ; X-axis reflectional symmetry ; One of my VERY best HTs f=f+!gf|!fg+f g=gg } sq20006b { ; Anthony Hanmer 4/9/2003 Angle 4 ; 180-degree rotation Axiom f ; This IS a new 1/2-Sq flip tile. ; X-axis reflectional symmetry f=gg+gg+f+!gf|!fg+f+gg+gg g=gg } sq20014# { ; Anthony Hanmer 19/10/2002 Angle 4 ; 14th 2x2 square HTile, 8th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff+g+gf+gg g=gg } sq20021* { ; Anthony Hanmer 19/10/2002 Angle 4 ; 21st 2x2 square HTile ; (1b) ; One of my VERY best HTs ; X-axis reflectional symmetry Axiom c53f+c2f+c12f+c14f f=gg+gg+f+f|f+f+gg+gg g=gg } sq20023* { ; Anthony Hanmer 19/10/2002 Angle 4 ; 23rd 2x2 square HTile ; (4b) ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=gg+gg+f+f+f|g-g+f+gg+gg g=gg } sq20033* { ; Anthony Hanmer 22/10/2002 Angle 4 ; 33rd 2x2 square HTile, a-p ; (2b) ; One of my VERY best HTs Axiom c53f+g+c12f f=gg+g+f|f+g+ff+gg+gg ; f=g+g+f|f-g+g+gg+ff+gg+gg; formerly g=gg } sq20034# { ; Anthony Hanmer 22/10/2002 Angle 4 ; 34th 2x2 square HTile, 17th dust ; (9b) ; One of my VERY best HTs: ; One of the most picturesque square HTiles of side 2 Axiom c53f+c2f+c12f+c14f f=gg+g+f|f+g+fg+gf+gg ; f=g+g+f|f-g+g+fg+gf+gg+gg; formerly g=gg } sq20052# { ; Anthony Hanmer 23/10/2002 Angle 4 ; 52nd 2x2 square HTile, 33rd dust ; (12b) ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=g+f+f+f+gg+gg+fg+gg+gg g=gg } sq20057# { ; Anthony Hanmer 23/10/2002 Angle 4 ; 57th 2x2 square HTile, 36th dust ; () ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+f-f|g+g+g+gg+gg+gf+gg g=gg } sq20077~ { ; Anthony Hanmer 9/9/2003 Angle 4 ; 2x2 square tile (almost)... Axiom f ; when put with its mirror image. ; One of my interesting HTs f=f+!gf|!gf+f } sq20078~ { ; Anthony Hanmer 9/9/2003 Angle 4 ; 2x2 square tile... Axiom f ; when put with its mirror image. ; (45-degree reflection needed) ; One of my VERY best HTs f=f+!ff|!gg+f g=gg } sq20078b { ; Anthony Hanmer 4/9/2003 Angle 4 ; 180-degree rotation Axiom f ; 1/2 a square, tiles with ; its 45-degree reflection ; One of my VERY best HTs f=gg+gg+f+!ff|!gg+f+gg+gg g=gg } sq30001* { ; Anthony Hanmer 2000 Angle 4 ; My very first HT ; (& 1st 3x3 square HT) ; Before I knew the rules of HTs... ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=ff+f+f++ff++f+f+f } sq30001c { ; Anthony Hanmer 17/8/2003, 15:00 Angle 4 ; Whoa, this is BIG: ; Merely rotating each HT gives other new HTs!!! ; One of my best HTs: 270 degrees Axiom c53f+c2f+c12f+c14f f=ggg+ggg+ggg+ff+f+f++ff++f+f+f+ggg g=ggg } sq30002* { ; Anthony Hanmer 2000 Angle 4 ; My 3rd HT ; (2nd 3x3 square EDr) ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+f+f++f+f++ff+ff } sq30003* { ; Anthony Hanmer 2000 Angle 4 ; My 4th HT ; (3rd 3x3 square HT) ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff++ff+f+f++f+f } sq30003a { ; Anthony Hanmer 17/8/2003 Angle 4 ; 90-degree rotation of my 3rd HT ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=ggg+f+ff++ff+f+f++f+f+ggg+ggg+ggg g=ggg } sq30006# { ; Anthony Hanmer 5/10/2002 Angle 4 ; 6th 3x3 square HTile, 1st dust ; One of my VERY best HTs Axiom c53f+g+c12f ; (25/7/2003: This axiom proves that, for HTs with only ; parallel lines, only 2 tiles are needed, not 4) f=f+g+f|fgf|fg-g-f|f+gg+ff g=ggg } sq30029# { ; Anthony Hanmer 6/10/2002 Angle 4 ; 29th 3x3 square HTile, 24th dust ; One of my VERY best HTs ; X-axis reflectional symmetry Axiom c53f+g+c12f f=f+g-f|f-g+f|fgf|fg+gg+ff g=ggg } sq30453# { ; Anthony Hanmer 14/8/2003 Angle 4 ; 3x3 square HTile, a-p dust, tiles in only 2 ; One of my VERY best HTs: WAY cool Axiom c53f+g+c12f f=g+g+f|f+g+f|f-g+f|f+g+ff+ggg+fgg+ggg+ggg g=ggg } sq30454# { ; Anthony Hanmer 14/8/2003 Angle 4 ; 3x3 square HTile, a-p dust, tiles in only 2 ; One of my VERY best HTs: WAY cool Axiom c53f+g+c12f f=f+g+f|f+g+f|f-g+f|f+g+gf+ggg+gfg+ggg+ggg g=ggg } sq30475# { ; Anthony Hanmer 14/8/2003 Angle 4 ; 3x3 square HTile, a-p dust, tiles in only 2 ; One of my VERY best HTs: WAY cool Axiom c53f+g+c12f f=fgf+g+fgg|ffg+gg+gfg+g+gff|ggf+gg+ggg g=ggg } sq30558# { ; Anthony Hanmer 17/8/2003 Angle 4 ; 3x3 square HTile, a-p dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq3 DNA ; X-axis reflectional symmetry Axiom c53f+g+c12f f=FFF+G+fgf|fff+GG+GGG+G+gfg|ggg+GG+GGG g=ggg } sq30564# { ; Anthony Hanmer 17/8/2003 Angle 4 ; 3x3 square HTile, a-p dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq3 DNA Axiom c53f+g+c12f f=FFF+G+ggf|fgf+GG+GGG+G+ffg|gfg+GG+GGG g=ggg } sq30581# { ; Anthony Hanmer 17/8/2003 Angle 4 ; 3x3 square HTile, a-p dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq3 DNA: variation on 30557 Axiom c53f+g+c12f f=GFG+G+gff|fff+GG+FGF+G+fgg|ggg+GG+GGG g=ggg } sq30582# { ; Anthony Hanmer 17/8/2003 Angle 4 ; 3x3 square HTile, a-p dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq3 DNA: variation on 30557 Axiom c53f+g+c12f f=FGG+G+gff|fff+GG+GFF+G+fgg|ggg+GG+GGG g=ggg } sq40001* { ; Anthony Hanmer 10/9/2002 Angle 4 ; And now, the 1st 4x4 square HTile! ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+f+f|f+f-f|f+ff+f+f+f|f-f+ff } sq40003* { ; Anthony Hanmer 10/9/2002 Angle 4 ; 3rd 4x4 square HTile! ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f; (See 8914) f=f+fff|f+f|ff|f-f-f|f-f+fff } sq40005* { ; Anthony Hanmer 10/9/2002 Angle 4 ; 5th 4x4 square HTile! ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+f-f+f|f-f-f|f-f|f-f+f+f|f+ff } sq40006* { ; Anthony Hanmer 10/9/2002 Angle 4 ; 6th 4x4 square HTile! ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+fff|ff-f|f-f+f+ff|ff+ff } sq40011* { ; Anthony Hanmer 10/9/2002 Angle 4 ; 11th 4x4 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+fff|f+f|f+f-f|f-f+f+f|f+ff } sq40013* { ; Anthony Hanmer 12/9/2002 Angle 4 ; 13th 4x4 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff+f|f-f-f|ff+f|f-f+f+fff } sq40018* { ; Anthony Hanmer 18/9/2002 Angle 4 ; 18th 4x4 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff+f|f-ff+ff+ff+f|f-ff+f } sq40019* { ; Anthony Hanmer 18/9/2002 Angle 4 ; 19th 4x4 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff-f|f+ff+f+f|f+f+ff|ff+f } sq40020* { ; Anthony Hanmer 18/9/2002 Angle 4 ; 20th 4x4 square HTile ; One of my VERY best HTs ; Seems to contain a 180-degree symmetrical half, ; and 2 quarters which make this same shape together... Axiom c53f+c2f+c12f+c14f f=f+fff|f-f|ff|f+ff+ff+f|f+f } sq40021* { ; Anthony Hanmer 19/9/2002 Angle 4 ; 21st 4x4 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=ff+f+f-f-f|f+f+f-f+f+f-f|f+f+f } sq40021c { ; Anthony Hanmer 25/8/2003 Angle 4 ; 270-degree rotation ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=gggg+gggg+gggg+ff+f+f-f-f|f+f+f-f+f+f-f|f+f+f+gggg g=gggg } sq40022* { ; Anthony Hanmer 19/9/2002 Angle 4 ; 22nd 4x4 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=ff+f+f-f|f+f+f|ff+f+f-f|f+f+f } sq40023* { ; Anthony Hanmer 19/9/2002 Angle 4 ; 23rd 4x4 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+fff|f+f|f+ff+f+f|f+f+f|f+f } sq40024* { ; Anthony Hanmer 19/9/2002 Angle 4 ; 24th 4x4 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff+f|ff|f+f+f|f+f+ff+f|f+f } sq40025# { ; Anthony Hanmer 5/10/2002 Angle 4 ; 25th 4x4 square HTile, 1st dust Axiom c53f+c2f+c12f+c14f ; One of my VERY best HTs f=f+fg+f|ff|f+g-f|fff|ff+f+fff g=gggg; THIS allows "tile dusts"! ; (N of gs equalling g is n of side units ; in 1st iteration) } sq40026# { ; Anthony Hanmer 7/10/2002 Angle 4 ; 26th 4x4 square HTile, 2nd dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+fgf-f-f|f+f+fgf+f+f|f+f+f|f+f g=gggg } sq40031# { ; Anthony Hanmer 7/10/2002 Angle 4 ; 31st 4x4 square HTile, 7th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+f|f+f+ff|ff+f+fgf+fg|gf-fgf+f g=gggg } sq40036# { ; Anthony Hanmer 7/10/2002 Angle 4 ; 36th 4x4 square HTile, 12th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+f|f+f+fg+f|f-gf+f+f+f|f+gg+fg|gf-ggf+f g=gggg } sq40062# { ; Anthony Hanmer 8/10/2002 Angle 4 ; 62nd 4x4 square HTile, 38th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+gggf|f-f|f-ggg+f+f+f-f-f|f+f+f-f+ff g=gggg } sq40064# { ; Anthony Hanmer 8/10/2002 Angle 4 ; 64th 4x4 square HTile, 40th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ggg+f|fggf|fgg+ggg+f+f+f-f-f|f+f+f-f+ff g=gggg } sq40066# { ; Anthony Hanmer 8/10/2002 Angle 4 ; 66th 4x4 square HTile, 42nd dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ggg+f|f-ggg+f+f+f-f-f|f+f+f-f+f+f|f+f g=gggg } sq40070# { ; Anthony Hanmer 8/10/2002 Angle 4 ; 70th 4x4 square HTile, 46th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+fggf|fggf+f+f+f-f-f|f+f+f-f+ff g=gggg } sq40071# { ; Anthony Hanmer 8/10/2002 Angle 4 ; 71st 4x4 square HTile, 47th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+f|f+f+f+f-f-f|f+f+f-f+f+ggg-f|f+ggg+f g=gggg } sq40081# { ; Anthony Hanmer 8/10/2002 Angle 4 ; 81st 4x4 square HTile, 57th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+gff|f+f|f+f-f|f-g+f+f|f+f+g-f|f+g+f g=gggg } sq40089# { ; Anthony Hanmer 9/10/2002 Angle 4 ; 89th 4x4 square HTile, 65th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff-gf|fg+f-f|ff|f+f+f+f|f+ff g=gggg } sq40090# { ; Anthony Hanmer 9/10/2002 Angle 4 ; 90th 4x4 square HTile, 66th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+g-ff|ff+g+f+fgf|fgf+f+f-f|f+f+f g=gggg } sq40092# { ; Anthony Hanmer 10/10/2002 Angle 4 ; 92nd 4x4 square HTile, 68th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+g-ff|ff+g+f+fg+f|f-gf+f+f-f|f+f+f g=gggg } sq40093# { ; Anthony Hanmer 10/10/2002 Angle 4 ; 93rd 4x4 square HTile, 69th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+g-ff|ff+g+f+fg-f|f+gf+f+f-f|f+f+f g=gggg } sq40115# { ; Anthony Hanmer 9/10/2002 Angle 4 ; 115th 4x4 square HTile, 91st dust ; One of my VERY best HTs ; X-axis reflectional symmetry Axiom c53f+c2f+c12f+c14f f=f+g-ff|ff+g+f+fgf|fgf+f+ggg-f|fggf|fgg-ggg+f g=gggg } sq40132# { ; Anthony Hanmer 17/10/2002 Angle 4 ; 132nd 4x4 square HTile, 108th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff|f-f|ff|f+f+f+fgf|fgf+ff g=gggg } sq40182# { ; Anthony Hanmer 17/10/2002 Angle 4 ; 182nd 4x4 square HTile, 159th dust ; One of my VERY best HTs ; X-axis reflectional symmetry Axiom c53f+c2f+c12f+c14f f=ff+f+f|f+f|f+f|f+f+f+ggg+ggf|fggf|f+ggg+f g=gggg } sq40198# { ; Anthony Hanmer 18/10/2002 Angle 4 ; 198th 4x4 square HTile, 175th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff-gf|fg+f-f|f-f+f+f|f+f+gf|fg+f g=gggg } sq40220# { ; Anthony Hanmer 18/10/2002 Angle 4 ; 220th 4x4 square HTile, 196th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+gg-f|f+gg+f+f+f|f-f+f+fgf|fg+f|f+f+f g=gggg } sq40221# { ; Anthony Hanmer 18/10/2002 Angle 4 ; 221st 4x4 square HTile, 197th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+gg-f|f+gg+f+f+f|f-f+f+fgg+gf|fg-gg+f|f+f+f g=gggg } sq41262# { ; Anthony Hanmer 15/8/2003 Angle 4 ; 4x4 square HTile, all-lines-parallel dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq4 DNA Axiom c53f+g+c12f f=FFFF+G+fffg|ggff+G+fg|gf+GG+GGGG+G+gggf|ffgg+G+gf|fg+GG+GGGG g=gggg } sq41265# { ; Anthony Hanmer 15/8/2003 Angle 4 ; 4x4 square HTile, all-lines-parallel dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq4 DNA Axiom c53f+g+c12f f=FFFF+G+fffg|ggff+G+gf|gf+GG+GGGG+G+gggf|ffgg+G+fg|fg+GG+GGGG g=gggg } sq41320# { ; Anthony Hanmer 16/8/2003 Angle 4 ; 4x4 square HTile, all-lines-parallel dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq4 DNA: variation on 41135 Axiom c53f+g+c12f f=FGFF+G+fgfg|gfgf+G+gg|ff+GG+GFGG+G+gfgf|fgfg+G+ff|gg+GG+GGGG g=gggg } sq41559# { ; Anthony Hanmer 16/8/2003 Angle 4 ; 4x4 square HTile, all-lines-parallel dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq4 DNA: variation on 41151 Axiom c53f+g+c12f f=GFFF+G+ffgg|ggff+G+gg|ff+GG+FGGG+G+ggff|ffgg+G+ff|gg+GG+GGGG g=gggg } sq41566# { ; Anthony Hanmer 16/8/2003 Angle 4 ; 4x4 square HTile, all-lines-parallel dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq4 DNA: variation on 41151 Axiom c53f+g+c12f f=GFGF+G+ffgg|ggff+G+gg|ff+GG+FGFG+G+ggff|ffgg+G+ff|gg+GG+GGGG g=gggg } sq41574# { ; Anthony Hanmer 16/8/2003 Angle 4 ; 4x4 square HTile, all-lines-parallel dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq4 DNA: variation on 41152 Axiom c53f+g+c12f f=GFFF+G+ffgg|ggff+G+fg|gf+GG+FGGG+G+ggff|ffgg+G+gf|fg+GG+GGGG g=gggg } sq41583# { ; Anthony Hanmer 16/8/2003 Angle 4 ; 4x4 square HTile, all-lines-parallel dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq4 DNA: variation on 41152 Axiom c53f+g+c12f f=GFFG+G+ffgg|ggff+G+fg|gf+GG+FGGF+G+ggff|ffgg+G+gf|fg+GG+GGGG g=gggg } sq50172# { ; Anthony Hanmer 23/11/2002 Angle 4 ; 172nd 5x5 square HTile, dust ; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=f+gf|fg+f+fff|f-f|f-f-f|f-f+f+f+f|f-f+f+f|f+f+ggggg+ggggg+g+f|f+gggg+ggggg g=ggggg } sq50173# { ; Anthony Hanmer 23/11/2002 Angle 4 ; 173rd 5x5 square HTile, dust ; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=f+ff|ff+f+gff|f-f|f-f-f|f-g+f+f+f|f-f+f+f|f+f+gg+f|f+ggg+ggggg+ggggg+ggggg g=ggggg } sq50174# { ; Anthony Hanmer 23/11/2002 Angle 4 ; 174th 5x5 square HTile, dust ; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=f+ff|ff+f+gff|f-f|f-f-f|f-g+f+f+f|f-f+f+f|f+f+ggggg+gg+f|f+ggg+ggggg+ggggg g=ggggg } sq50175# { ; Anthony Hanmer 23/11/2002 Angle 4 ; 175th 5x5 square HTile, dust ; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=f+ff|ff+f+gff|f-f|f-f-f|f-g+f+f+f|f-f+f+f|f+f+ggggg+ggggg+gg+f|f+ggg+ggggg g=ggggg } sq50217# { ; Anthony Hanmer 3/8/2003 Angle 4 ; 5x5 square HTile, all-lines-parallel dust, tiles in only 2 ; One of my VERY best Sq5 HTs of this type: WAY COOL, a personal a-p favourite Axiom c53f+g+c12f f=FFFFF+G+ffggf|fggff+G+fgfgg|ggfgf+G+ffgfg|gfgff+G+gffgg|ggffg+G+GGGGG+GGGGG+GGGGG g=ggggg } Sq60727 { ; Anthony Hanmer 24/5/2004 Angle 4 ; Sq6 HT; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=F+fff|fff+F+ffff|ffff+F+f|f+F+ff|ff+F+f|f+F+GGGGGG+GGGGGG+GGG+gfgf|fgfg+GG+gff|ffg+G+GGGGGG g=gggggg } Sq60728 { ; Anthony Hanmer 24/5/2004 Angle 4 ; Sq6 HT; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=F+fff|fff+F+ffff|ffff+F+f|f+F+ff|ff+F+f|f+G+GGGGGG+GGGGGG+GGG+gfgf|fgfg+GG+gff|ffg+F+GGGGGG g=gggggg } Sq60729 { ; Anthony Hanmer 24/5/2004 Angle 4 ; Sq6 HT; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=F+fff|fff+F+ffff|ffff+F+f|f+F+ff|ff+G+f|f+G+GGGGGG+GGGGGG+GGG+gfgf|fgfg+GF+gff|ffg+F+GGGGGG g=gggggg } Sq60839 { ; Anthony Hanmer 24/5/2004 Angle 4 ; Sq6 HT; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=F+fff|fff+F+fffg-gf|fg+gfff+F+f|f+F+gg|ff+F+f|f+F+GGGGGG+GGGGGG+GGG+gff|ffg+G+ff|gg+G+gff|ffg+G+GGGGGG g=gggggg } Sq60840 { ; Anthony Hanmer 24/5/2004 Angle 4 ; Sq6 HT; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=F+fff|fff+F+fffg-gf|fg+gfff+F+f|f+F+gg|ff+F+f|f+G+GGGGGG+GGGGGG+GGG+gff|ffg+G+ff|gg+G+gff|ffg+F+GGGGGG g=gggggg } tr20001* { ; Anthony Hanmer 2000 Angle 6 ; My 2nd HT ; (& 1st 2x2 triangular HT) ; I think there are no more 2x2 triangular HTiles to be found. ; (I am later proved to be SO wrong.) ; One of my VERY best HTs Axiom c9f++c12f++c14f f=f+f|f++f } tr20003* { ; Anthony Hanmer 11/10/2002 Angle 6 ; 3rd 2x2 triangular HTile ; 1-sided interior ; One of my VERY best HTs Axiom c9f++c12f++c14f; Unexpected but true f=f+f|g--f|g+f g=gg } tr20009* { ; Anthony Hanmer 19/10/2002 Angle 6 ; 9th 2x2 triangular HTile ; One of my VERY best HTs: sheer simplicity Axiom c9f++c12f++c14f f=f+f|g--f++f++gg g=gg } tr20014* { ; Anthony Hanmer 23/10/2002 Angle 6 ; 14th 2x2 triangular HTile ; X-axis reflectional symmetry ; One of my VERY best HTs: again, very simple Axiom c9f++c12f++c14f f=gg++g+f|f++f++fg++gg g=gg } tr30001* { ; Anthony Hanmer 9/9/2002 Angle 6 ; Eureka! The 2nd triangular HT! Axiom c9f++c12f++c14f; (1st 3x3 triangular HT) ; One of my VERY best HTs f=f++f|f++ff|ff++ff } tr30002* { ; Anthony Hanmer 9/9/2002 Angle 6 ; Eureka! The 3rd triangular HT! Axiom c9f++c12f++c14f; (2nd 3x3 triangular HT) ; One of my VERY best HTs f=f++f--f--f|f++f++f+ff } tr30009# { ; Anthony Hanmer 5/10/2002 Angle 6 ; 9th 3x3 triangular HTile, 1st dust Axiom c9f++c12f++c14f; WOW - "Koch (variation) Dust Tile"...! ; One of my VERY best HTs ; X-axis reflectional symmetry f=f+fg++f|f--gf++f++f|f+f g=ggg } tr30010# { ; Anthony Hanmer 5/10/2002 Angle 6 ; 10th 3x3 triangular HTile, 2nd dust Axiom c9f++c12f++c14f; WOW - "Sierpinski (variation) Dust Tile"...! ; One of my VERY best HTs ; X-axis symmetry f=f+gf++f++f|f--f--fg++ff g=ggg } tr30221* { ; Anthony Hanmer 24/5/2003 Angle 6 ; 221st 3x3 triangular HTile ; 1-sided interior ; One of my VERY best HTs Axiom c9f++c12f++c14f f=f+f++f|g--g++f+f|g--f--f--g++f++ggg++gg+g|f++g++ggg g=ggg } tr30244* { ; Anthony Hanmer 24/5/2003 Angle 6 ; 244th 3x3 triangular HTile ; 1-sided interior ; One of my VERY best HTs Axiom c9f++c12f++c14f f=f++f|g++f--f|g++g++fg++g++g|f++g--g|f++f++gg++ggf++ggg g=ggg } tr40071* { ; Anthony Hanmer 8/11/2002 Angle 6 ; 71st 4x4 triangular HTile ; One of my VERY best HTs Axiom c9f++c12f++c14f f=f++f--f--f|f++f++f+f++f--f--f|f++f++f+fg++gggg++gggf++gggg g=gggg } tr40071a { ; Anthony Hanmer 13/9/2003 Angle 6 ; 120-degree rotation ; One of my VERY best HTs Axiom c9f++c12f++c14f f=gggg++f++f--f--f|f++f++f+f++f--f--f|f++f++f+fg++gggg++gggf++gggg++gggg++gggg g=gggg } tr40398# { ; Anthony Hanmer 15/9/2003 Angle 6 ; 4x4 triangular HTile ; Variation on Tr40233, re-drawn using the L4 DNA ; One of my VERY best HTs Axiom c9f++c12f++c14f f=F+ffg|ggf++G+fg|gf++F+g|g++G++G+ggf|gfg++G+gg|gg++G+g|g++G++G+ggg|fgg++F+gf|fg++G+f|f++F++GGGG g=gggg } tr40400# { ; Anthony Hanmer 15/9/2003 Angle 6 ; 4x4 triangular HTile ; Variation on Tr40233, re-drawn using the L4 DNA ; One of my VERY best HTs Axiom c9f++c12f++c14f f=F+ggg|ggg++F+fg|gf++G+g|g++G++G+fff|gff++G+gg|gg++G+g|g++G++G+ggg|fgg++G+gf|fg++F+f|f++F++GGGG g=gggg } _________________________________________________________________ Add photos to your messages with MSN 8. 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Tony (Anthony) Hanmer