Matt Hall's Siteswap List (Kudos to Ben Beever and Sean Gandini)

Ever since I first discovered the Juggle Master animator way back in 1998, I have been fascinated by siteswaps. I downloaded Ben Beever's book as soon as I could, and I began working through all of them with my trusty animator to find patterns that were cool, symmetrical, or both. I also spent some time digging through Charlie Dancey's Siteswap Appendix at the back of his Encyclopaedia of Ball Juggling. I am a firm believer that Sean Gandini's The Siteswap DVD is an absolute masterpiece--a true magnum opus. I treasure his Siteswap Cards, that he has so generously given to me on TWO separate occasions (after my first set was stolen). Recently, people like Mark Douglass, Uri Yurman, Sylvain, and Peter Bone have all contributed (knowingly or otherwise) to my ever-growing list. The list below contains a fair amount of examples from Ben's book and Sean's cards, but not all of them. I left out a lot of asymmetrical examples and redundant tricks. Also, the underlined and italics examples are ones that I find particularly fun or aesthetically pleasing. There may be some typos or errors in the transition throws given in parentheses, but that's totally my bad. Bottom line: download Ben's book and buy Sean's cards for yourself so you get the full, perfect package. By putting this list on the web, I am just trying to pass on some of the inspiration they gave to me. Delve into those numbers, as Dancey-san has said. There's gold in there.

/[Three Ball Siteswaps]

441

423

504

531

5511

51414

51234

52413

52440

52512

53034

53403

55014

5505051

61251

61305

61314

61350

63051

63141

63501

64005

64014

64050

64140

64500

66300

6050505

6131451

6161601

6316131

711

7131

7401

70161

70251

70305

70314

70350

70701

72330

73131

73302

73401

74130

74400

75300

713151

71701701

801

8040

8130

(4)84012(2)

8123601

(6)9111(330)

(45)90141(30)

(5)9140(2)

(45)90303(30)

(45)90501(30)

/[Four Ball Siteswaps]

552

534

5551

55514

55550

615

633

642

660

6424

61355

62345

62525

62561

63353

63524

63551

63623

64055

64145

64163

64253

64505

64613

64514

66125

61616

66305

66314

66350

6155155

6262525

6461641

714

723

741

7126

7333

7405

7441

(5)70166(3)

(5)70256(3)

(5)70355(3)

(5)70364(3)

(55)70616(2)

(55)70625(2)

(55)70661(1)

(56)70706(23)

(5)72335(3)

(5)72461(3)

73136

73406

73424

72416

72425

73451

73631

74135

(5)74162(3)

74234

74450

74612

74630

(5)75161(3)

75251

75314

75611

7261246

7123456

7161616

7427242

7471414

7272712

7133455

(6)6716071(33)

(6)831(33)

(555)80345(2)

(555)80525(2)

(555)80723(1)

(5)81236(3)

(56)81416(23)

(56)81425(3)

(55)81461(2)

(56)81812(23)

83333

84440

84512

86420

86411

8441841481441

9151

(56)90506(23)

(555)90551(1)

(55)91424(2)

(5)94142(3)

(67)91901(340)

(5)92333(3)

(55)94034(2)

(5)95141(3)

(5)95501(3)

(5)96131(3)

(68)a11(5500)

/[Four Ball Multiplex and Synch]

[43]14

[53]22

[54]21

[43]6421

[53]3423

[54]1424

[54]5123

[54]6122

[64]1324

[64]2323

[64]4123

[65]3123

[74]2421

(4,2x)(4,6x)(6,2)(2x,4)(6x,4)(2,6)

(8,2)(4x,2x)(2,8)(2x,4x)

(8,4)(4,2x)(2x,4)(4,8)(2x,4)(4,2x)

(6x,4)(4,2x)(4,6x)(2x,4)

/[Five Ball Siteswaps]

645

663

66661

726

744

753

771

7571

7733

7463

74635

72466

73456

74734

75616

75625

75661

75751

(6)75814(4)

77416

77425

77731

(6)777171(4)

747741

(66)825(3)

(6)852(4)

(6)834(4)

(66)861(3)

8633

8246

8273

81277

81475

81727

81772

81817

83446

83833

84445

85246

84733

84742

8448641

8446661

8448551

8537741

8597141

85345

85561

85525

86416

86425

86461

86731

88441

824466

85716814

8558158518551

(667)915(24)

(7)933(44)

(7)942(44)

(667)960(24)

90808

92527

(67)92923(34)

94444

94552

94642

(667)95191(24)

95551

95524

(67)96181(24)

96451

96631

(67)96901(34)

97531

94493344

9552952592552

(667)a1617(23)

a4448334

a5551a5515a5155a15551

b4a33333

b444b333444

b633633

b447333

d75317531

d5515551

/[Five Ball Multiplex and Synch]

[53]25

[54]24

[54]1

[43]26

[43]6327

[75]21

[54]6127

[54]7423

[54]6622

[65]1724

[65]2723

[65]6125

[65]3623

[64]4623

[75]3127

[75]3424

[75]5125

[76]3324

[76]4125

[76]3126

[74]4424

[87]33324

[543]24[22]3

[765]3124[22]3

22[43][65]3

22[43][64]4

22[54][65]1

22[64][64]1

[987]313124[22]3

555524[74]445555

555524[84]444555

555524[94]444455

555524[22]3[764]7161555

555524[22]3[764]81716714

555524[22]3[654]6155555

555524[22]3[654]7145555

555524[22]3[765]3155555

555524[22]3[987]3131555

(6x,4)(6,4x)

(6x,4)(4,6x)

(6,4)(6x,4)(4,6)(4,6x)

(6,4x)(6,4)(4x,6)(4,6)

(6x,4x)(6,4x)(4x,6x)(4x,6)

(8,2x)(2x,8)

(8x,2x)(6,4x)(2x,8x)(4x,6)

(8x,4)(4x,6x)(6x,2x)*reverse

/[Mark Douglass Sync 5 Ball Tricks]

(6,4)(4x,6x)(6x,4)(6,4x)(6x,4)(6x,4x)(4,6)(6x,4x)(4,6x)(4x,6)(4,6x)(4x,6x)

(6,6)(2x,6)(6,6)(6,2x)

(6x,6x)(6x,2)(6x,6x)(2,6x)

(6x,6x)(6x,2)(6x,6x)(6x,2x)(6x,6x)(2,6x)(6x,6x)(2x,6x)

(6,6)(6,2x)(6,6)(6,2)(6,6)(2x,6)(6,6)(2,6)�@

(6x,6x)(6,2x)(6x,6x)(6,2)(6x,6x)(2x,6)(6x,6x)(2,6)

(6,6)(6,2)(6,6)(6x,2)(6,6)(2,6)(6,6)(2,6x)

(6x,6x)(6,2)(6x,6x)(6x,2)(6x,6x)(2,6)(6x,6x)(2,6x)

(6,6)(6x,2x)(6,6)(6,2x)(6,6)(2x,6x)(6,6)(2x,6)

(6x,6x)(6x,2x)(6x,6x)(6,2x)(6x,6x)(2x,6x)(6x,6x)(2x,6)

(6,6)(6x,2)(6,6)(6x,2x)(6,6)(2,6x)(6,6)(2x,6x)

(6x,6x)(6x,2)(6x,6x)(6x,2x)(6x,6x)(2,6x)(6x,6x)(2x,6x)

/[Five Ball Siteswaps from Sylvain and JiBe]

858818151

8558158518551

(6)8851815851(4)

(6)85815815851(4)

(66)9619619169161(3)

678817161

(6)678177171(4)

(6)7718171671(4)

749751714

8648148641

7497517163

94539751714

945397517163

75791571861751

/[Six Ball Siteswaps]

774

756

855

864

(7)945(5)

(7)963(5)

9645

9555

85845

94944

99192

96456

96627

96852

b55555

b97531

8686716

9595881771

/[Six Ball Multiplex and Synch]

[54]27

[65]25

[75]24

[76]23

[65]7246

[54]6627

[65]6625

[75]5625

[76]4625

[76]7226

[76]4724

[87]4425

[54][75]522

27[543]

([66x4],4)(6x,2)(4,[22])(4,[66x4])(2,6x)([22],4)

(8x,6)(4,6x)*

/[Seven Ball Siteswaps]

966

948

b6666

8888881

9797971

[75]27

[86]25

[54][65]1

[43][65]3

[43][64]4

[64][64]1

[86][86]322

[987]4426[22]5

[7654]26[22]5[222]4

/[Sean Gandini's Siteswap Cards-3 Balls]

612

603

46122

46302

55203

62241

64203

64113

55050

61611

81312

81330

83031

451512

461241

461511

471231

471312

525141

526122

526131

622512

631512

722241

723141

615600

913131

453053403

6316166001

451640164500

564006415041

714014714700

741701740041

7330730370330

7141404

/[Sean Gandini's Siteswap Cards-3 Balls Multiplex]

41[43]0

41[54]01

521[43]0

20[43]

/[Sean Gandini's Siteswap Cards-3 Balls Synchronous]

(4x,2x)(2,4)

(4x,2x)(4,2x)(2x,4x)(2x,4)

/[Sean Gandini's Siteswap Cards-4 Balls]

822

912

8134

8152

9124

57233

57512

66251

67223

73352

73451

73622

73631

77312

83342

83423

83441

83522

83531

84233

85313

86231

86312

58133

68123

72722

72731

78122

78131

92342

92423

92441

92522

92531

94133

94142

95123

96122

72812

81362

81461

81722

81731

91334

91352

91451

91622

81812

575151

577131

733551

747141

736251

6357142

6366151

6374152

6461641

44557133

56716151

571731

/[Sean Gandini's Siteswap Cards-4 Balls Synchronous]

(4,6x)(2x,4)

(4,6x)(4x,2)

(4,6)(2x,4x)

(4x,6x)(2,4)

(4x,6)(4,2x)

(4x,6)(2,4x)

(2x,8)(4,2x)

(8,2)(2x,4x)

(2,6)(2x,6x)

(4x,6)(0,6x)

(6x,4)(0,6x)

(4x,6x)(6,0)

(8x,2x)(2x,4x)(2x,6x)

(2x,8)(4,2)(8,2)(4,2x)

(6x,2)(2x,6)(2,6x)(6,2x)

/[Sean Gandini's Siteswap Cards-4 Balls Multiplex]

[43]1

[43]14

[43]23

[43]522

[43]5323

[43]5521

[43]6421

[53]521

[53]323

[54]5123

[54]6122

[64]1324

[64]2341

[64]4141

[64]2323

[64]4123

[65]3123

[65]01

[74]2421

[74]41323

/[Sean Gandini's Siteswap Cards-4 Balls Synchronous Multiplex]

(2,4)([4x4],2x)

(2,4x)([4x4],2)

(4,2x)([4x4],2)

(4x,2x)([4x4],2x)

(4x,6x)(2,2x)([4x4],2)

(6,4)(2,2x)([4x4],2)

/[Sean Gandini's Siteswap Cards-5 Balls]

66724

66751

67363

67561

67723

67741

68344

68353

68524

68551

68623

68641

74662

74752

75661

75724

77362

77461

77722

78334

78352

78424

78451

78622

78631

84463

84562

84733

84742

85363

85561

85723

85741

86362

86461

86722

86731

88333

88342

88423

88522

88531

94453

94534

94552

94633

94642

95344

95353

95623

95641

96352

96424

96451

96622

96334

96352

97333

97342

97423

97441

97522

69244

69253

69514

69613

75814

77272

77812

79234

79252

79414

79612

83572

83833

83842

85813

86272

86812

89233

89242

89413

89512

83923

83941

84913

68173

69145

69163

78172

79135

79162

92473

92572

92833

92842

95173

96172

99133

99142

78181

92581

92923

92941

96181

81772

81835

81862

88036

91474

91672

91834

91852

91681

91924

746625

747741

773355

774714

824466

6777161

7572752

7748144

8577161

8648144

9494414

9595151

9552752

9558152

9597122

9952712

a572722

a772711

55668244

55668514

67891234

95851714

567891234

685716714

747771714

758517741

855815661

b5b515151

d1517191b1

66671668144

757173

777171

935373

847182

7266716

83571637

85716814

/[Sean Gandini's Siteswap Cards-5 Balls Synchronous]

(2x,4)(8,6x)

(4x,6)(4,6x)

(6x,4)(4,6x)

(6x,4)(6,4x)

(6x,4x)(4,6)

(6x,6x)(2x,6x)

(6x,8x)(2x,4x)

(8x,4x)(4,4)

(8,6)(2x,4x)

(8,6x)(2x,4)

(8x,6)(4,2x)

(8x,6x)(4x,2x)

(8,2x)(4x,6)

(8x,2x)(4x,6x)

(8x,2x)(6,4)

(2x,8)(8,2x)

(8x,2)(8,2x)

(8x,2x)(2,8)

(8,2x)(4x,6)

(8,2x)(6x,4)

(ax,2x)(6x,2x)

(6,6)(2x,6)(6,4x)

(6x,6x)(2,6x)(6x,4)

(ax,2x)(6x,2x)(8x,2x)

(ax,2x)(ax,2x)(4x,2x)

(cx,2x)(8x,2x)(4x,2x)

/[Sean Gandini's Siteswap Cards-5 Balls Multiplex]

[43]71

[43]526

[54]524

[54]623

[64]23

[65]22

[65]621

[65]324

[65]6125

[75]5125

[76]421

[76]41525

[76]3671424

22[32][43][54]

[62]25

[42]27

[72]24

[74]126

[97]121

/[Sean Gandini's Siteswap Cards-5 Balls Synchronous Multiplex]

(2,6x)([6x4x],2x)

(2,4)([6x6],4)(6,2x)

(2,4x)([8x6],4x)(2x,4)

(2,6)([6x6],2x)(6x,2x)

(2,4x)([8x8],4)(4,2x)(2x,6)

(2,2x)([22],2x)([8x6x4x],2x)