PROFESSOR TAIT ON KNOTS. 503 



The various Types of Ten/olds with their distinct Forms. 



Six right and six left hand meshes ; 24 non-unique types, 14 unique ; 133 

 individual distinct forms in all. Amphicheirals of the first order and first class 

 are marked by a bar over the symbol instead of a repetition. 



1. 0, G, GC, GG, CG, KC, KG, G, GK, K. 2. FC, GF, GF, GF. 



3. HB, LB, BC, GB, BG, KB, IIF, FC, FG, LF, GF FK. 



4. GE, KE, GE, GE, BK, GB, GB, KB, BG, GB, EK, EG. 



5. FF, KB, FB, BF, FF, FK. 6. GE, LE, KE. 



7. FE, FG, FB, EB, EG, EE, FE, FG, FB. 8. FK, KF. 9. F, FF, F. 10. GF, KF. 



11. BF, KE, BB, GF, KG, GB, EF, KB, BE. 12. LE, LF, FH. 13. KG, K, G. 



14. B, E, G, EB, BG, EG. 15. A, EA, E, 10. BB, FB, KB, KF, FB, FF. 



17. GF, GF. 13. FD, DB, KD. 19. FA, KA, FA, GA, GA, EA. 



20. BA, KA, KA, AF 2L GA, GA, AF, BA. 22. FB, B, F 23. DB, FD. 



24. EA, AA. 25. KG. 20. G. 27. F 28. LE. 29. K. 30. LG. 



31. F 32. EF. 33. FE. 34. EF 35. D. 36. AD. 37. A. 38. H. 



Five meshes of one kind, seven of the other. Forty-three non-unique 

 types, twenty-one unique — 200 distinct forms in all. 



39. es, es, ep, yp, sy, sy. 40. em,, em, ef. 41. el, ee, yl, ye, -r\c, t)l, £Z, £e, e£ /£ 



42. &, yl, el, yq, eq, £1. 43. ef, em, ep, es, yf, ym, ys, yp, p£ s£ fm, £/! 44. se, te. 



45. &L, gh, eh, eh, ed, ed, h$ d£. 46. #, £7, v l. 47. by, elc, v k, $c. 



48. eh, ed, em, h(3, m/3, d/3. 49. £c, fc, rjc, yc, £c, ee. 50. gy, eg, %g, t,q. 



51. £b, $>, £b, be, yb. 52. 0b, eb, h0, eh, eh, eb. 53. er, 0r, el, el, 01, 10. 54. pe, te. 



55. S0, t0, m/3, s0, p/3, S0. 56. 8f 8p, 8s. 57. ny, yn, en, en. 



58. £r, ry, ee, ye, ty, er. 59. 81, 8q. 60. ee, ey, ly, el, £1, £e. 



61. ee, el, et, t/3, e(3, 1/3. 62. e0, p0, 1/3, el, ep, ee. 63. eh, ky, %h, 64. /3l, /3q, s0. 



65. r0, ec, er, /3c. 66. eb, /3b, eb. 67. d/3, m/3, /3l. 68. d/3, 01, s0. 



69. eg, gy. 70. 8d, 18. 71. 0r, t/3, e0. 72. 10, r0. 73. pa, ta, la, r a . 



74. ec, r0, re, c/3. 75. eh, /3L 76. /3c, ec. 77. ea, ea, a/3. 78. b0, h/3. 



79. /3c, ec. 80. r a , aC 81. ha, ab. 82. tju. 83. se. 84. et. 85. gfc 



86. fr. 87. i?s. 88. p%. 89. er. 90. f%. 91. eq. 92. re. 93. £>. 



94. m£ 95. re. 96. el. 97. le. 98. el. 99. eh, 100. 0h. 101. Z>/3. 102. art. 



Four meshes of one kind, eight of the other. Seven non-unique types and 

 eight unique — twenty-five distinct forms in all. 



103. «f, 0f. 104. «a, «a, 0a. 105. «d, «g, d0, g& 106. «c, 0c. 107. 0d, 10. 

 108. 0b, g0. 109. 01, 0h. 110. «k. 111. k. 112. «h. 113. «g. 

 114. 0k. 115. 0f. 116. 0e. 117. aft 



Three meshes of one kind, nine of the other. Six unique types. 

 118. Xu. 119. Xq. 120. Xp. 121. Xs. 122. Xr. 123. Xt. 



