Play -- A Sandbox

You can enter HTML here, outside the Sage notebook sections
TeX can be used here, this is an equation:
$E = -J \sum_{i=1}^N s_i s_{i+1}$ or $\int_{-\infty}^{\infty}e^{-x^{2}}\;dx=\sqrt{\pi}$

L = [[cos(pi*i/100),sin(pi*i/100)] for i in range(200)]
p = polygon(L, rgbcolor=(1,1,0))
p.show(aspect_ratio=1)

x, y = var("x y") 
S = sphere((0,0,0),size=0.3, color='red', aspect_ratio=[1,1,1]) 
S.show()

W = plot3d(sin(pi*((x)^2+(y)^2))/2,(x,-1,1),(y,-1,1), frame=False, color="purple")
show(W + S, figsize=8)

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") 
p1 + p2

f = lambda t: (t,t^2,t^3)
t = Tachyon(camera_center=(5,0,4))
t.texture('t')
t.light((-20,-20,40), 0.2, (1,1,1))
t.parametric_plot(f,-5,5,'t',min_depth=6)
t.show()

DIR

'/sagenb/servers'

%html
This is an HTML block.

This is an HTML block.

F=exp(.4*(x-.4)^2 - .08*x^4)
F

e^(0.400000000000000*(x - 0.400000000000000)^2 - 0.0800000000000000*x^4)

jsmath(F)

\newcommand{\Bold}[1]{\mathbf{#1}}e^{\left(0.400000000000000 \, {\left(x - 0.400000000000000\right)}^{2} - 0.0800000000000000 \, x^{4}\right)}

plot(F,-5,5)