cone

Creates a new cone.

Syntax

cone([a[, f[, d[, α]]]])
- a is a three-dimensional real vector
- f is a three-dimensional real vector
- d is a three-dimensional real vector
- α is a real number

cone() creates a circular cone (quadratic surface) with radius 1 and height 1 parallel to the z axis, extending from z = 0 (apex) to z = 1.

cone(a, f, d, α) translates the cone by a, scales it by diag(f), aligns it with d, and rotates it an amount α about its axis.

Hence,

a specifies the position of the cone’s apex.
f = (s, t, h) specifies the half-axis lengths s and t and height h of the cone.
d specifies the axis of the cone (considered as an arrowhead, the arrow will point in the −d direction).
α specifies the rotation of the cone about its axis.

If omitted, a defaults to ❨0, 0, 0❩, f to ❨1, 1, 1❩, d to ❨0, 0, 1❩, and α to 0.

The object is shown in the current scene and a reference to the object is returned.

The AdjustVisual function can be used to adjust the appearance of the cone. See Visual settings for a list of applicable settings.

cone()

cone(❨2, 2, 0❩, ❨1, 1, 2❩)

cone(❨5, 5, 0❩, ❨1, 1, 5❩, ❨−1, −1, 0❩)

To create a solid cone, use solid("cone") instead.