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← Revision 59 as of 2017-03-26 02:08:05 ⇥
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| * Everywhere continuous, nowhere differentiable function (in the infinite limit, anyway): {{{p = Graphics() for n in range(1,20): f = lambda x: sum([sin(x*3^i)/(2^i) for i in range(1,n)]) p += plot(f,0,float(pi/3),plot_points=2000,rgbcolor=hue(n/20)) p.show(xmin=0, ymin=0,dpi=250) }}} [http://sage.math.washington.edu/home/wdj/art/cool-sage-pic-small1.png cool pic 1] * Math art by Tom Boothby: {{{ # Author: Tom Boothby # This is a remake of an old art piece I made in POVRay t = Tachyon(xres=1000,yres=600, camera_center=(1,0,5), antialiasing=3) t.light((4,3,2), 0.2, (1,1,1)) t.texture('t0', ambient=0.1, diffuse=0.9, specular=0.5, opacity=1.0, color=(1.0,1,1)) t.texture('t1', ambient=0.5, diffuse=0.5, specular=0.0, opacity=1.0, color=(0,0,0)) t.texture('t2', ambient=0.2, diffuse=0.7, specular=0, opacity=0.7, color=(.5,.5,.5)) t.texture('t3', ambient=.9, diffuse=5, specular=0,opacity=.1, color=(1,0,0)) t.sphere((1,0,0), 30, 't2') k=0 for i in srange(-pi*10,0,.01): k += 1 t.sphere((cos(i/10)-.1, sin(i/10)*cos(i), sin(i/10)*sin(i)), 0.1, 't0') t.sphere((cos(i/10) + 2.1, sin(i/10)*cos(i), sin(i/10)*sin(i)), 0.1, 't1') t.show(verbose=1) }}} [http://sage.math.washington.edu/home/wdj/art/boothby-tachyon1.png cool pic 2] * Twisted cubic in tachyon: {{{ t = Tachyon(xres=512,yres=512, camera_center=(5,0,0)) t.light((4,3,2), 0.2, (1,1,1)) t.texture('t0', ambient=0.1, diffuse=0.9, specular=0.5, opacity=1.0, color=(1.0,0,0)) t.texture('t1', ambient=0.1, diffuse=0.9, specular=0.3, opacity=1.0, color=(0,1.0,0)) t.texture('t2', ambient=0.2, diffuse=0.7, specular=0.5, opacity=0.7, color=(0,0,1.0)) k=0 for i in srange(-5,1.5,0.1): k += 1 t.sphere((i,i^2-0.5,i^3), 0.1, 't%s'%(k%3)) t.show() }}} [http://sage.math.washington.edu/home/wdj/art/boothby-tachyon2.png cool pic 3] * Reflections from four spheres in tachyon {{{ t6 = Tachyon(camera_center=(0,-4,1), xres = 800, yres = 600, raydepth = 12, aspectratio=.75, antialiasing = True) t6.light((0.02,0.012,0.001), 0.01, (1,0,0)) t6.light((0,0,10), 0.01, (0,0,1)) t6.texture('s', color = (.8,1,1), opacity = .9, specular = .95, diffuse = .3, ambient = 0.05) t6.texture('p', color = (0,0,1), opacity = 1, specular = .2) t6.sphere((-1,-.57735,-0.7071),1,'s') t6.sphere((1,-.57735,-0.7071),1,'s') t6.sphere((0,1.15465,-0.7071),1,'s') t6.sphere((0,0,0.9259),1,'s') t6.plane((0,0,-1.9259),(0,0,1),'p') t6.show() }}} [attachment:fourspheres.png] * A cone inside a sphere: {{{ sage: p1 = parametric_plot3d([cos(u)*v, sin(u)*v, 3*v/2-1/3], (u, 0, 2*pi), (v, 0, 0.95),plot_points=[20,20]) sage: p2 = sphere((0,0,2/3), color='red', opacity=0.5, aspect_ratio=[1,1,1]) sage: show(p1+p2) }}} * A cylinder inside a cone: {{{ sage: p1 = parametric_plot3d([cos(u)*v, sin(u)*v, 3/2-3*v/2], (u, 0, 2*pi), (v, 0, 1.5), opacity = 0.5, plot_points=[20,20]) sage: p2 = parametric_plot3d([cos(u)/2, sin(u)/2, v-3/4], (u, 0, 2*pi), (v, 0, 3/2), plot_points=[20,20]) sage: show(p1+p2) }}} |
#REDIRECT art |
