spiral3_plot = {
const svg = d3.select(DOM.svg(dimensions[0], dimensions[1]));
svg.append("path")
.attr("d", bezpts_to_svgpath(bezspiral3))
.attr("transform", `translate(${-bounds[0]},${-bounds[2]}) scale(1 -1)`)
.attr("stroke-width", 2).attr("stroke", "black").attr("fill", "none");
return svg.node();
}
spiral3 = t => {
const p = Math.pow;
let a = 2*Math.PI*loops, l;
if (side > 0) {
l = p(2, side);
a *= p(1 - p((1-t), 1/l), l) - p(1 - p(0.5, 1/l), l);
} else {
l = p(2, -side);
a *= - p(1 - p(t, 1/l), l) + p(1 - p(0.5, 1/l), l);
}
return apollo_coords(a, t);
}
spiral1_plot = {
const svg = d3.select(DOM.svg(dimensions[0], dimensions[1]));
svg.append("path")
.attr("d", bezpts_to_svgpath(bezspiral))
.attr("transform", `translate(${-bounds[0]},${-bounds[2]}) scale(1 -1)`)
.attr("stroke-width", 2).attr("stroke", "black").attr("fill", "none");
return svg.node();
}
spiral = t => {
const t_ = 1 - t;
const a = 2*Math.PI * (
t_*a0 + t*t_*t_*b0 +
t*a1 + t*t*t_*b1);
return apollo_coords(a, t);
}
spiral2 = t => {
const tt = 2*(t - 0.5)
const a = 2*Math.PI*(loops*tt + side*tt*tt);
return apollo_coords(a, t);
}
spiral4 = t => {
const ss = Math.pow(2, side*side);
let a = 2*Math.PI*loops;
if (side > 0) {
a *= (Math.pow(t, ss) - Math.pow(.5, ss));
} else {
a *= - (Math.pow((1 - t), ss) - Math.pow(.5, ss));
}
return apollo_coords(a, t);
}
apollo_coords = function apollo_coords(a, t) {
const x = (1-t)*Math.cos(a) + t;
const y = (1-t)*Math.sin(a);
const s = scale * t / (x * x + y * y);
return [s*x, -s*y];
}
bezspiral = bezeval(spiral, [0, 1], bounds, .1)
bezspiral3 = bezeval(spiral3, [0, 1], bounds, .1)
bounds = [-250, 550, -300, 300]
dimensions = [bounds[1]-bounds[0], bounds[3]-bounds[2]]
scale = 300
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