Knowledge (XXG)

Saddle tower

Source đź“ť

265: 17: 97:
Joaquın Perez and Martin Traize, The classification of singly periodic minimal surfaces with genus zero and Scherk-type ends, Transactions of the American Mathematical Society, Volume 359, Number 3, March 2007, Pages
141: 88:
H. Karcher, Construction of minimal surfaces, in "Surveys in Geometry", Univ. of Tokyo, 1989, and Lecture Notes No. 12, SFB 256, Bonn, 1989, pp. 1–96.
254: 134: 181: 234: 171: 111: 186: 284: 166: 127: 79:
H. Karcher, Embedded minimal surfaces derived from Scherk's examples, Manuscripta Math. 62 (1988) pp. 83–114.
264: 249: 25: 56: 16: 206: 229: 161: 224: 191: 150: 33: 244: 60: 37: 278: 51:
These surfaces are the only properly embedded singly periodic minimal surfaces in
219: 201: 176: 211: 196: 119: 15: 123: 135: 48: > 2) symmetry around one axis. 8: 112:Images of The Saddle Tower Surface Families 142: 128: 120: 36:family generalizing the singly periodic 72: 20:Two periods of a 3-fold saddle tower. 7: 59:zero and finitely many Scherk-type 14: 263: 1: 301: 261: 157: 38:Scherk's second surface 21: 26:differential geometry 19: 22: 272: 271: 63:in the quotient. 292: 285:Minimal surfaces 267: 182:Chen–Gackstatter 162:Associate family 151:Minimal surfaces 144: 137: 130: 121: 99: 95: 89: 86: 80: 77: 300: 299: 295: 294: 293: 291: 290: 289: 275: 274: 273: 268: 259: 255:Triply periodic 153: 148: 117: 108: 103: 102: 96: 92: 87: 83: 78: 74: 69: 40:so that it has 34:minimal surface 12: 11: 5: 298: 296: 288: 287: 277: 276: 270: 269: 262: 260: 258: 257: 252: 247: 242: 237: 232: 227: 222: 217: 209: 204: 199: 194: 189: 184: 179: 174: 169: 164: 158: 155: 154: 149: 147: 146: 139: 132: 124: 115: 114: 107: 106:External links 104: 101: 100: 90: 81: 71: 70: 68: 65: 13: 10: 9: 6: 4: 3: 2: 297: 286: 283: 282: 280: 266: 256: 253: 251: 248: 246: 243: 241: 238: 236: 233: 231: 228: 226: 223: 221: 218: 216: 214: 210: 208: 205: 203: 200: 198: 195: 193: 190: 188: 185: 183: 180: 178: 175: 173: 170: 168: 165: 163: 160: 159: 156: 152: 145: 140: 138: 133: 131: 126: 125: 122: 118: 113: 110: 109: 105: 94: 91: 85: 82: 76: 73: 66: 64: 62: 58: 54: 49: 47: 43: 39: 35: 31: 27: 18: 240:Saddle tower 239: 212: 116: 93: 84: 75: 52: 50: 45: 41: 30:saddle tower 29: 23: 67:References 235:Riemann's 207:Henneberg 172:Catalan's 279:Category 230:Richmond 220:Lidinoid 202:Helicoid 177:Catenoid 250:Schwarz 225:Neovius 192:Enneper 187:Costa's 98:965–990 44:-fold ( 245:Scherk 197:Gyroid 167:Bour's 215:-noid 57:genus 55:with 32:is a 61:ends 28:, a 24:In 281:: 213:k 143:e 136:t 129:v 53:R 46:N 42:N

Index


differential geometry
minimal surface
Scherk's second surface
genus
ends
Images of The Saddle Tower Surface Families
v
t
e
Minimal surfaces
Associate family
Bour's
Catalan's
Catenoid
Chen–Gackstatter
Costa's
Enneper
Gyroid
Helicoid
Henneberg
k-noid
Lidinoid
Neovius
Richmond
Riemann's
Saddle tower
Scherk
Schwarz
Triply periodic

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑