Interactive 3D Lines

xxxxxxxxxx

 

1

sx='x=-%.1f*cos(%.1f*t)-%.1f*cos(%.1f*t)+%.1f*sin(%.1f*t)'

2

sy='y=-%.1f*cos(%.1f*t)+%.1f*sin(%.1f*t)-%.1f*sin(%.1f*t)'

3

sz='z=%.1f*cos(%.1f*t)'; p1,p2='$\\mathscr{\\small{','}}$'

4

def L(i): return (-a*cos(d*i)-b*cos(e*i)+c*sin(f*i),

5

                  -c*cos(f*i)+a*sin(d*i)-b*sin(e*i),

6

                  a*cos(g*i))

7

@interact

8

def _(a=[10,15,20],b=[2,4,6],c=[15,10,5]):

9

    d=.1; e=.4; f=.2; g=.3; var('t')

10

    pretty_print(html(p1+sx%(a,d,b,e,c,f)+p2))

11

    pretty_print(html(p1+sy%(c,f,a,d,b,e)+p2))

12

    pretty_print(html(p1+sz%(a,g)+p2))

13

    def L(i): return (-a*cos(d*i)-b*cos(e*i)+c*sin(f*i),

14

                      -c*cos(f*i)+a*sin(d*i)-b*sin(e*i),

15

                      a*cos(g*i))

16

    p=sum([line3d([L(i),L(i+1)],radius=.5,

17

                  color=colormaps.winter(4*i)[:3]) 

18

           for i in [0..64]])

19

    p.show(frame=False)

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

---

Messages