Annotation of OpenXM_contrib/gnuplot/demo/singulr.dem, Revision 1.1
1.1 ! maekawa 1: # $Id: singulr.dem,v 1.3 1995/12/11 23:14:19 drd Exp $
! 2: #
! 3: # Demo that plots some surfaces with singularities.
! 4: # Author: Carsten Steger
! 5: #
! 6: # (x,y,x^2-y^2,2xy) is the graph of w=z^2 in 4-space.
! 7: # Therefore (x^2-y^2,2xy,x,y) is the graph of w=sqrt(z) in 4-space.
! 8: # Coordinates 1, 2, and 3 give the real part of either function,
! 9: # whereas coordinates 1, 2, and 4 give the imaginary part.
! 10: # The same holds for the cube function w=z^3. The graphs are given by
! 11: # (x,y,x^3-3xy^2,3x^2y-y^3) and (x^3-3xy^2,3x^2y-y^3,x,y).
! 12: # And so on...
! 13:
! 14:
! 15: set parametric
! 16: set hidden3d
! 17: set isosamples 21
! 18: set autoscale
! 19:
! 20:
! 21: set view 60,30
! 22: set urange [-3:3]
! 23: set vrange [-3:3]
! 24: set title "Real part of complex square root function"
! 25: splot u**2-v**2,2*u*v,u
! 26: pause -1 "Hit return to continue (1)"
! 27:
! 28:
! 29: set view 60,210
! 30: set title "Real part of complex square root function (different view)"
! 31: replot
! 32: pause -1 "Hit return to continue (2)"
! 33:
! 34:
! 35: set view 60,120
! 36: set urange [-3:3]
! 37: set vrange [-3:3]
! 38: set title "Imaginary part of complex square root function"
! 39: splot u**2-v**2,2*u*v,v
! 40: pause -1 "Hit return to continue (3)"
! 41:
! 42:
! 43: set view 60,300
! 44: set title "Imaginary part of complex square root function (different view)"
! 45: replot
! 46: pause -1 "Hit return to continue (4)"
! 47:
! 48:
! 49: set view 60,30
! 50: set urange [-3:3]
! 51: set vrange [-3:3]
! 52: set title "Real part of complex cube root function"
! 53: splot u**3-3*u*v**2,3*u**2*v-v**3,u
! 54: pause -1 "Hit return to continue (5)"
! 55:
! 56:
! 57: set view 60,210
! 58: set title "Real part of complex cube root function (different view)"
! 59: replot
! 60: pause -1 "Hit return to continue (6)"
! 61:
! 62:
! 63: set view 60,30
! 64: set urange [-3:3]
! 65: set vrange [-3:3]
! 66: set title "Imaginary part of complex cube root function"
! 67: splot u**3-3*u*v**2,3*u**2*v-v**3,v
! 68: pause -1 "Hit return to continue (7)"
! 69:
! 70:
! 71: set view 60,210
! 72: set title "Imaginary part of complex cube root function (different view)"
! 73: replot
! 74: pause -1 "Hit return to continue (8)"
! 75:
! 76:
! 77: set view 60,30
! 78: set isosamples 31
! 79: set urange [-1:1]
! 80: set vrange [-1:1]
! 81: set title "Real part of complex 4th root function"
! 82: splot u**4-6*u**2*v**2+v**4,4*u**3*v-4*u*v**3,u
! 83: pause -1 "Hit return to continue (9)"
! 84:
! 85:
! 86: set view 60,210
! 87: set title "Real part of complex 4th root function (different view)"
! 88: replot
! 89: pause -1 "Hit return to continue (10)"
! 90:
! 91:
! 92: set view 60,120
! 93: set urange [-1:1]
! 94: set vrange [-1:1]
! 95: set title "Imaginary part of complex 4th root function"
! 96: splot u**4-6*u**2*v**2+v**4,4*u**3*v-4*u*v**3,v
! 97: pause -1 "Hit return to continue (11)"
! 98:
! 99:
! 100: set view 60,300
! 101: set title "Imaginary part of complex 4th root function (different view)"
! 102: replot
! 103: pause -1 "Hit return to continue (12)"
! 104:
! 105:
! 106: set isosamples 21
! 107: set view 60,20
! 108: set urange [-3:3]
! 109: set vrange [-3:3]
! 110: set title "Enneper's surface"
! 111: splot u-u**3/3+u*v**2,v-v**3/3+v*u**2,u**2-v**2
! 112: pause -1 "Hit return to continue (13)"
! 113:
! 114:
! 115: set view 60,110
! 116: set title "Enneper's surface (different view)"
! 117: replot
! 118: pause -1 "Hit return to continue (14)"
! 119:
! 120:
! 121: set isosamples 31,11
! 122: set view 60,30
! 123: set title "Moebius strip"
! 124: set urange [0:2*pi]
! 125: set vrange [-0.25:0.25]
! 126: splot (2-v*sin(u/2))*sin(u),(2-v*sin(u/2))*cos(u),v*cos(u/2)
! 127: pause -1 "Hit return to continue (15)"
! 128:
! 129:
! 130: set view 60,210
! 131: set title "Moebius strip (view from opposite side)"
! 132: replot
! 133: pause -1 "Hit return to continue (16)"
! 134:
! 135: set nokey
! 136: set xrange [-10:10]
! 137: set yrange [-10:10]
! 138: set zrange [-3:3]
! 139: set urange [0:2*pi]
! 140: set vrange [0:2*pi]
! 141: set isosamples 39,60
! 142: set view 60,120
! 143: set title "Klein bottle"
! 144: splot (2*sin(u)*cos(v/2)-sin(2*u)*sin(v/2)+8)*cos(v), \
! 145: (2*sin(u)*cos(v/2)-sin(2*u)*sin(v/2)+8)*sin(v), \
! 146: 2*sin(u)*sin(v/2)+sin(2*u)*cos(v/2)
! 147: pause -1 "Hit return to continue (17)"
! 148:
! 149:
! 150: set urange [0:2*pi]
! 151: set vrange [0:4*pi/3]
! 152: set isosamples 39,40
! 153: set view 60,20
! 154: set title "Klein bottle with look at the 'inside'"
! 155: replot
! 156: pause -1 "Hit return to continue (18)"
! 157:
! 158: set data style lines
! 159: set xrange [-12:12]
! 160: set yrange [-12:12]
! 161: set zrange [*:*]
! 162: set ticslevel 0.5
! 163: set nohidden3d
! 164: set view 50,15,1,1.7
! 165: set title "Klein bottle, glassblowers' version (look-through)"
! 166: splot "klein.dat"
! 167: pause -1 "Hit return to continue (19)"
! 168:
! 169:
! 170: set hidden3d
! 171: set view 70,305
! 172: set title "Klein bottle, glassblowers' version (solid)"
! 173: splot "klein.dat"
! 174: pause -1 "Hit return to continue (20)"
! 175:
! 176: reset
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