Lattices

From JSXGraph Wiki
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

Sphere packing

JavaScript code for these examples

Lattice:

var brd = JXG.JSXGraph.initBoard('box1', {boundingbox: [-5, 5, 5, -5], axis:true});
brd.suspendUpdate();
var b1 = brd.create('point', [1,0], {size:6, name:'', color:'blue'});
var b2 = brd.create('point', [0,1], {size:6, name:'', color:'blue'});
var i, j;
for (i=-5;i<6;i++) for (j=-5;j<6;j++) {
  if (!(i==1&&j==0) && !(i==0&&j==1)) {
  brd.create('point',[
       function(x,y){ return function(){ return x*b1.X()+y*b2.X(); };}(i,j),
       function(x,y){ return function(){ return x*b1.Y()+y*b2.Y(); };}(i,j)
       ], {name:'',style:4});
}}
brd.unsuspendUpdate();

Spheres:

var brd2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-5, 5, 5, -5], axis:true});
brd2.suspendUpdate();
var b3 = brd2.create('point', [1,0], {size:6, name:'', color:'blue'});
var b4 = brd2.create('point', [0,1], {size:6, name:'', color:'blue'});
var p = [];
for (i=-5;i<6;i++) for (j=-5;j<6;j++) {
  if (!(i==1&&j==0) && !(i==0&&j==1)) {
  p[i*11+j] = brd2.create('point',[
       function(x,y){ return function(){ return x*b3.X()+y*b4.X(); };}(i,j),
       function(x,y){ return function(){ return x*b3.Y()+y*b4.Y(); };}(i,j)
       ], {name:'',style:4});
  brd2.createElement('circle',[p[i*11+j],0.5]);
}}
brd2.unsuspendUpdate();