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parametricequations.js
const ParametricEquations =
{
circle:
{
xFunction: function (t) {return Math.cos(t)},
yFunction: function (t) {return Math.sin(t)},
zFunction: function (t) {return 0},
tRange: {start: 0, end: 2 * Math.PI},
tStep: Math.PI / 32,
colour: "#FF0000"
},
ellipse:
{
xFunction: function (t) {return 1.0 * Math.cos(t)},
yFunction: function (t) {return 0.75 * Math.sin(t)},
zFunction: function (t) {return 0},
tRange: {start: 0, end: 2 * Math.PI},
tStep: Math.PI / 32,
colour: "#00C000"
},
cardioid:
{
xFunction: function (t) { return Math.cos(t) * (1 + Math.cos(t)) },
yFunction: function (t) { return Math.sin(t) * (1 + Math.cos(t)) },
zFunction: function (t) {return 0},
tRange: {start: 0, end: 2 * Math.PI},
tStep: Math.PI / 32,
colour: "#800080"
},
spiral:
{
xFunction: function (t) { return Math.cos(t) * (0.05 * t) },
yFunction: function (t) { return Math.sin(t) * (0.025 * t) },
zFunction: function (t) {return 0},
tRange: {start: 0, end: 10 * Math.PI},
tStep: Math.PI / 32,
colour: "#008080"
},
rose:
{
xFunction: function (t) { return Math.cos(t) * (Math.sin(t * 6)) },
yFunction: function (t) { return Math.sin(t) * (Math.sin(t * 6)) },
zFunction: function (t) {return 0},
tRange: {start: 0, end: 2 * Math.PI},
tStep: Math.PI / 128,
colour: "#FF00FF"
},
Lissajous1:
{
xFunction: function (t)
{
const delta = Math.PI / 2;
const a = 1;
return Math.sin(a * t + delta)
},
yFunction: function (t)
{
const b = 2;
return Math.sin(b * t)
},
zFunction: function (t) { return 0 },
tRange: {start: 0, end: 2 * Math.PI},
tStep: Math.PI / 128,
colour: "#FF8000"
},
Lissajous2:
{
xFunction: function (t)
{
const delta = Math.PI / 2;
const a = 3;
return Math.sin(a * t + delta)
},
yFunction: function (t)
{
const b = 2;
return Math.sin(b * t)
},
zFunction: function (t) { return 0 },
tRange: {start: 0, end: 2 * Math.PI},
tStep: Math.PI / 128,
colour: "#FF8000"
},
Lissajous3:
{
xFunction: function (t)
{
const delta = Math.PI / 2;
const a = 3;
return Math.sin(a * t + delta)
},
yFunction: function (t)
{
const b = 4;
return Math.sin(b * t)
},
zFunction: function (t) { return 0 },
tRange: {start: 0, end: 2 * Math.PI},
tStep: Math.PI / 128,
colour: "#FF8000"
},
Lissajous4:
{
xFunction: function (t)
{
const delta = Math.PI / 4;
const a = 5;
return Math.sin(a * t + delta)
},
yFunction: function (t)
{
const b = 4;
return Math.sin(b * t)
},
zFunction: function (t) { return 0 },
tRange: {start: 0, end: 2 * Math.PI},
tStep: Math.PI / 128,
colour: "#FF8000"
},
helix:
{
zFunction: function (t)
{
const a = 0.5; // radius
return a * Math.cos(t);
},
xFunction: function (t)
{
const a = 0.5; // radius
return a * Math.sin(t);
},
yFunction: function (t)
{
const b = 0.05; // height per revolution = 2pi * b
return b * t;
},
tRange: {start: -10 * Math.PI, end: 10 * Math.PI},
tStep: Math.PI / 128,
colour: "#0000FF"
},
}
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