The helices have the formulas

curve(t) = Rad*[cos(frq*t), sin(frq*t), slope*frq*t].

We choose frq = 1/(Rad*sqrt(1 + slope^2)) to keep the arclength of the helix constant under parameter changes. The normals of the helix are drawn until they meet the evolute, another helix with the same curvature.

curve(t) = Rad*[cos(frq*t), sin(frq*t), slope*frq*t].

We choose frq = 1/(Rad*sqrt(1 + slope^2)) to keep the arclength of the helix constant under parameter changes. The normals of the helix are drawn until they meet the evolute, another helix with the same curvature.

The helix and its evolute have the same constant curvature. The convex hull of their
pair of osculating circles is the Oloid.

If ``normals'' and ``osculating circles'' are selected, then the Oloid is shown.

See more images of helices

If ``normals'' and ``osculating circles'' are selected, then the Oloid is shown.

See more images of helices