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Icosphere

A sphere subdivided from an icosahedron, giving evenly sized triangles.

Icosphere is a sphere built by recursively subdividing an icosahedron. Its triangles are evenly sized and it has no pole pinching.


Geometry

Starts from 20 equilateral triangles, subdivides them Order times, and pushes every vertex onto the sphere. The triangle count multiplies by four per level.

OrderTriangles
020
180
2320
31,280
45,120
520,480

The pivot is at the bottom, so a sphere of radius r occupies y=0 to y=2r.


Parameters

LabelScript keyDefaultRangeDescription
Radiusr10.01 ~ 1000Radius in meters
Orderord20 ~ 5Subdivision order — each level multiplies triangles by four

How to create

  1. Drag in empty space — the drag distance becomes the radius.

  2. Click to finish. There is no height stage.


Scene view editing

The ±X and ±Z handles drive Radius. Order is changed in the Inspector only.


Tips

For rocks, planets and low-poly organics that will be deformed heavily, Icosphere beats Sphere — with no poles there is nothing to stretch.

Start Order low and raise it only when needed: even 4 is already 5,120 triangles.


Script

In a script this shape is written as icosphere.

icosphere "Rock" r=0.6 ord=2 @0,0,0

See also — Shape Type List · Creating Shapes and Modes · Scene Script Syntax

Icosphere | UModeler X Manual