Built-in Mathematica Symbol

Cone

Cone[{{x₁, y₁, z₁}, {x₂, y₂, z₂}}, r]
represents a cone with a base of radius r centered at (x₁, y₁, z₁) and a tip at (x₂, y₂, z₂).

Cone[{{x₁, y₁, z₁}, {x₂, y₂, z₂}}]
represents a cone with a base of radius 1.

MORE INFORMATION

Cone renders as a cone in Graphics3D.

Cone represents the whole filled cone, not just the surface.

The base of the cone is a disk.

The base radius of the cone can be specified either in absolute coordinates, or as Scaled[s].

Colors and other material properties of cones can be specified using color directives as well as Specularity and Glow.

Cones can be specified as transparent using Opacity directives.

Cone[] is equivalent to Cone[{{0, 0, -1}, {0, 0, 1}}].

Cone[{spec₁, spec₂, ...}] represents a collection of cones with base radius 1.

Cone[{spec₁, spec₂, ...}, r] represents a collection of cones with base radius r.

Cone[{spec₁, spec₂, ...}, {r₁, r₂, ...}] represents a collection of cones with specifications spec_i and base radii r_i.

EXAMPLES

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Basic Examples (2)

A unit radius and unit height cone:

A cone from the origin to {1, 1, 1} with radius 1/2 at its base:

Differently styled cones:

A unit radius and unit height cone:

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A cone from the origin to {1, 1, 1} with radius 1/2 at its base:

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Differently styled cones:

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Scope (12)

If no radius is specified, it is assumed to be 1:

Cone with different radii:

Cone with different directions:

Short form for a cone centered at the origin with a base radius 1:

Use Scaled coordinates:

Use Scaled radius:

Multiple cones:

Color directives specify the face colors of cones:

FaceForm and EdgeForm can be used to specify the styles of the faces and edges:

Different properties can be specified for the front and back faces using FaceForm:

Cones with different specular exponents:

White cone that glows red:

Opacity specifies the face opacity:

Applications (3)

A simple 3D arrow chart:

Define a ChartElementFunction based on Cone:

BarChart3D uses Cone to produce 3D bar charts:

Histogram3D can similarly use Cone:

Use Cone to display bubbles in BubbleChart3D:

Properties & Relations (5)

Use Scale to get an elliptical cone:

Cone is used as a 3D arrowhead in Arrow:

Cone is a special case of Tube:

Get a truncated cone by specifying different radii in Tube:

A parametric specification of a cone shell generated using ParametricPlot3D:

An implicit specification of a cone shell generated by ContourPlot3D:

Neat Examples (3)

Random unit cones:

Nested transparent cone: