Parametric Plotting as Exercises 2

xxxxxxxxxx

 

1

def col(i): 

2

    [c1,c2,c3]=colormaps.ocean(.05*i)[:3]

3

    return sage.plot.colors.float_to_html(c1,c2,c3)

4

def randi(xmin,xmax):

5

    return n(randint(xmin,xmax)*.01,digits=2)

6

var('t')

7

st=r'<left>$\small{\mathbb{%s}}$</left>'

8

a,b,c=randi(100,150),randi(10,20),randi(5,15)

9

x(t)=a*cos(t*pi)+c*cos(t*pi)*cos(b*t*pi)

10

y(t)=10*(c*sin(b*t*pi)+c^2*t)

11

z(t)=a*sin(t*pi)+c*sin(t*pi)*cos(b*t*pi)

12

f(t)=[x(t),y(t),z(t)]

13

for i in range(3):

14

    pretty_print(html(st%(latex(f(t)[i]))))

15

sum([parametric_plot3d(

16

    (1+.1*i)*f(t),(-3,3),color=col(i),

17

    frame=False,plot_points=25) for i in [1..20]])

Language: Sage Gap GP HTML Macaulay2 Maxima Octave Python R Singular

---

Messages