3240.sagews

u, v = var('u,v')
p=parametric_plot3d((cos(u), sin(u) + cos(v), sin(v)), (u, 0, 2*pi), (v, -pi, pi), mesh=True)
p.show(viewer='canvas3d')

u, v = var('u,v')
f1 = (4+(3+cos(v))*sin(u), 4+(3+cos(v))*cos(u), 4+sin(v))
f2 = (8+(3+cos(v))*cos(u), 3+sin(v), 4+(3+cos(v))*sin(u))
p1 = parametric_plot3d(f1, (u,0,2*pi), (v,0,2*pi), texture="red")
p2 = parametric_plot3d(f2, (u,0,2*pi), (v,0,2*pi), texture="blue")
P= p1 + p2
P.show(viewer='tachyon')

u,v = var('u v')
f_x = cos(u)*cos(v)*(abs(cos(3*v/4))^500 + abs(sin(3*v/4))^500)^(-1/260)*(abs(cos(4*u/4))^200 + abs(sin(4*u/4))^200)^(-1/200)
f_y = cos(u)*sin(v)*(abs(cos(3*v/4))^500 + abs(sin(3*v/4))^500)^(-1/260)*(abs(cos(4*u/4))^200 + abs(sin(4*u/4))^200)^(-1/200)
f_z = sin(u)*(abs(cos(4*u/4))^200 + abs(sin(4*u/4))^200)^(-1/200)
P=parametric_plot3d([f_x, f_y, f_z], (u, -pi, pi), (v, 0, 2*pi))
P.show(viewer='tachyon')

u, v = var('u,v')
f_x = ( abs(v) - abs(u) - abs(tanh((1/sqrt(2))*u)/(1/sqrt(2))) + abs(tanh((1/sqrt(2))*v)/(1/sqrt(2))) )*sin(v)
f_y = ( abs(v) - abs(u) - abs(tanh((1/sqrt(2))*u)/(1/sqrt(2))) - abs(tanh((1/sqrt(2))*v)/(1/sqrt(2))) )*cos(v)
f_z = sin(u)*(abs(cos(4*u/4))^1 + abs(sin(4*u/4))^1)^(-1/1)
p=parametric_plot3d([f_x, f_y, f_z], (u, 0, pi), (v, -pi, pi))
p.show(viewer='tachyon')

u, v = var('u,v')
f_x = cos(u)*(4*sqrt(1-v^2)*sin(abs(u))^abs(u))
f_y = sin(u) *(4*sqrt(1-v^2)*sin(abs(u))^abs(u))
f_z = v
p=parametric_plot3d([f_x, f_y, f_z], (u, -pi, pi), (v, -1, 1), frame=False, color="red")
p.show(viewer='tachyon')

u, v = var('u,v')
f_x = sin(u) / (sqrt(2) + sin(v))
f_y = sin(u) / (sqrt(2) + cos(v))
f_z = cos(u) / (1 + sqrt(2))
p=parametric_plot3d([f_x, f_y, f_z], (u, -pi, pi), (v, -pi, pi), frame=False, color="green")
p.show(viewer='tachyon')

u, v = var('u,v')
fx = 2/3* (cos(u)* cos(2*v) + sqrt(2)* sin(u)* cos(v))* cos(u) / (sqrt(2) - sin(2*u)* sin(3*v))
fy = 2/3* (cos(u)* sin(2*v) - sqrt(2)* sin(u)* sin(v))* cos(u) / (sqrt(2) - sin(2*u)* sin(3*v))
fz = sqrt(2)* cos(u)* cos(u) / (sqrt(2) - sin(2*u)* sin(3*v))
p=parametric_plot3d([fx, fy, fz], (u, -2*pi, 2*pi), (v, 0, pi), plot_points = [90,90], frame=False, color="red")
p.show(viewer='tachyon')

u, v = var('u,v')
fx = v *cos(u) - 0.5* v^2 * cos(2* u)
fy = -v *sin(u) - 0.5* v^2 * sin(2* u)
fz = 4 *v^1.5 * cos(3 *u / 2) / 3
p=parametric_plot3d([fx, fy, fz], (u, -2*pi, 2*pi), (v, 0, 1),plot_points = [90,90], frame=False, color="purple")
p.show(viewer='tachyon')

u, v = var('u,v')
fx = (3*(1+sin(v)) + 2*(1-cos(v)/2)*cos(u))*cos(v)
fy = (4+2*(1-cos(v)/2)*cos(u))*sin(v)
fz = -2*(1-cos(v)/2) * sin(u)
p=parametric_plot3d([fx, fy, fz], (u, 0, 2*pi), (v, 0, 2*pi), frame=False, color="green")
p.show(viewer='tachyon')

u, v = var('u,v')
p1 = parametric_plot3d([sin(u)*cos(u)*log(u^2)*v*(1-v)/2, ((u^6)^(1/20)*(cos(u)^2)^(1/4)-1/2)*v*(1-v), v^(0.5)], (u, 0.001, 1), (v, 0, 1), plot_points=[70,70], color='red')
p2 = parametric_plot3d([-sin(u)*cos(u)*log(u^2)*v*(1-v)/2, ((u^6)^(1/20)*(cos(u)^2)^(1/4)-1/2)*v*(1-v), v^(0.5)], (u, 0.001, 1), (v, 0, 1), plot_points=[70,70], color='red')
show(p1+p2, frame=False)\

line 7 exec compile(ur'show(p1+p2, frame=False)\' + '\n', '', 'single') ^ SyntaxError: unexpected character after line continuation character

fx = u - u^3/3 + u*v^2
fy = v - v^3/3 + v*u^2
fz = u^2 - v^2
p=parametric_plot3d([fx, fy, fz], (u, -25, 25), (v, -25, 25), plot_points = [50,50], frame=False, color="green")
p.show(viewer='tachyon')

fx = (2*sqrt(0.84)*cosh(0.4*u)*(-(sqrt(0.84)*cos(v)*cos(sqrt(0.84)*v)) - sin(v)*sin(sqrt(0.84)*v)))/(0.4*((sqrt(0.84)*cosh(0.4*u))^2 + (0.4*sin(sqrt(0.84)*v))^2))
fy = (2*sqrt(0.84)*cosh(0.4*u)*(-(sqrt(0.84)*sin(v)*cos(sqrt(0.84)*v)) + cos(v)*sin(sqrt(0.84)*v)))/(0.4*((sqrt(0.84)*cosh(0.4*u))^2 + (0.4*sin(sqrt(0.84)*v))^2))
fz = -u + (2*0.84*cosh(0.4*u)*sinh(0.4*u))/(0.4*((sqrt(0.84)*cosh(0.4*u))^2 + (0.4*sin(sqrt(0.84)*v))^2))
p=parametric_plot3d([fx, fy, fz], (u, -13.2, 13.2), (v, -37.4, 37.4), plot_points = [90,90], frame=False, color="green")
p.show(viewer='tachyon')

maxima.plot2d('[cos(7*x),cos(23*x)^4,sin(13*x)^3]','[x,0,1]',\
   '[plot_format,openmath]') # not tested

t = Tachyon(xres=800,yres=800, camera_center=(2,5,2), look_at=(2.5,0,0))
t.light((0,0,100), 1, (1,1,1))
t.texture('r', ambient=0.1, diffuse=0.9, specular=0.5, opacity=1.0, color=(1,0,0))
for i in srange(0,50,0.1):
    t.sphere((i/10,sin(i),cos(i)), 0.05, 'r')

t.texture('white', color=(1,1,1), opacity=1, specular=1, diffuse=1)
t.plane((0,0,-100), (0,0,-100), 'white')
t.show()

t = Tachyon(xres=1000, yres=800, camera_center=(2,7,4), look_at=(2,0,0), raydepth=4)
t.light((10,3,2), 1, (1,1,1))
t.light((10,-3,2), 1, (1,1,1))
t.texture('black', color=(0,0,0))
t.texture('red', color=(1,0,0))
t.texture('grey', color=(.9,.9,.9))
t.plane((0,0,0),(0,0,1),'grey')
t.cylinder((0,0,0),(1,0,0),.01,'black')
t.cylinder((0,0,0),(0,1,0),.01,'black')
E = EllipticCurve('37a')
P = E([0,0])
Q = P
n = 100
for i in range(n):  
    Q = Q + P
    c = i/n + .1
    t.texture('r%s'%i,color=(float(i/n),0,0))
    t.sphere((Q[0], -Q[1], .01), .04, 'r%s'%i)
          

t.show()    # long time, e.g., 10-20 seconds

t = Tachyon(camera_center=(2,7,4), look_at=(2,0,0))
t.texture('black', color=(0,0,0), texfunc=1)
t.plane((0,0,0),(0,0,1),'black')
t.show()

t = Tachyon(camera_center=(2,5,4), look_at=(2,0,0), raydepth=6)
t.light((10,3,4), 1, (1,1,1))
t.texture('mirror', ambient=0.05, diffuse=0.05, specular=.9, opacity=0.9, color=(.8,.8,.8))
t.texture('grey', color=(.8,.8,.8), texfunc=3)
t.plane((0,0,0),(0,0,1),'grey')
t.sphere((4,-1,1), 1, 'mirror')
t.sphere((0,-1,1), 1, 'mirror')
t.sphere((2,-1,1), 0.5, 'mirror')
t.sphere((2,1,1), 0.5, 'mirror')
show(t)

gnuplot.plot3d_parametric('v^2*sin(u), v*cos(u), v*(1-v)')

/home/sage/sage_install/sage/local/bin/sage-native-execute: 8: gnuplot: not found

x, y = var('x y')
W = plot3d(sin(pi*((x)^2+(y)^2))/2,(x,-1,1),(y,-1,1), frame=False, color='purple', opacity=0.8) 
S = sphere((0,0,0),size=0.3, color='red', aspect_ratio=[1,1,1])
show(W + S, figsize=8, viewer='tachyon

line 7 show(W + S, figsize=_sage_const_8 , viewer='tachyon ^ SyntaxError: EOL while scanning string literal