Random Parametric Polygons

function_plotting_js.ipynb

<script type='text/javascript' src='https://code.highcharts.com/highcharts.js'></script> was added in the page head.

xxxxxxxxxx

 

1

%%html

2

<div id='highcharts' style='height:580px; width:500px; margin:0 auto'>

3

the javascript cell is launching here...

4

</div><script>

5

function getinteger(min,max) {

6

    return Math.floor(Math.random()*(max-min+1))+min;};

7

function fx(a,b,c,q,n,t,k) {

8

    var x1=Math.cos(Math.PI*t/n+k*Math.PI/q)+

9

           Math.cos(a*Math.PI*t/n+k*Math.PI/q);

10

    var x2=Math.cos(b*Math.PI*t/n+k*Math.PI/q)+

11

           Math.cos(c*Math.PI*t/n+k*Math.PI/q);

12

    return x1+x2};

13

function fy(a,b,c,q,n,t,k) {

14

    var y1=Math.sin(Math.PI*t/n+k*Math.PI/q)-

15

           Math.sin(a*Math.PI*t/n+k*Math.PI/q);

16

    var y2=Math.sin(b*Math.PI*t/n+k*Math.PI/q)-

17

           Math.sin(c*Math.PI*t/n+k*Math.PI/q);

18

    return y1+y2};

19

function ar(a,b,c,q,n,k) {

20

    return Array(2*n+1).fill(k).map((k,t)=>

21

          [fx(a,b,c,q,n,t,k),fy(a,b,c,q,n,t,k)]);};

22

function colrb(i) {

23

    var r=getinteger(i,255); var g=0; var b=getinteger(i,255);

24

    return 'rgb('+r.toString()+','+g.toString()+

25

           ','+b.toString()+')';};   

26

var a=getinteger(5,9),b=getinteger(10,14),c=getinteger(15,19);

27

var q=getinteger(3,6),n=getinteger(4,24); var series=[];

28

for (var k=1; k<2*q+1; k++) {

29

    series.push({name:[k,a,b,c,n].toString(),

30

                 marker:{symbol:'circle',radius:1},

31

                 color:colrb(k),lineWidth:.5,

32

                 data:ar(a,b,c,q,n,k)})};

33

Highcharts.chart('highcharts', {

34

    chart:{type:'line',backgroundColor:'ghostwhite'},

35

    xAxis:{title:{text:'x'}},yAxis:{title:{text:'y'}},

36

    title:{text:'Random Parametric Polygons'},

37

    credits:{enabled:false},legend:{enabled:false},

38

    series:series});

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

---

Messages