LightWave is not available for Linux but there are plenty of alternatives that runs on Linux with similar functionality. The best Linux alternative is Blender, which is both free and Open Source. If that doesn't suit you, our users have ranked more than 25 alternatives to LightWave and 13 are available for Linux so hopefully you can find a suitable replacement. Other interesting Linux alternatives to LightWave are Autodesk Maya (Paid), Wings 3D (Free, Open Source), Bforartists (Free, Open Source) and MODO (Paid).
Fragmentarium is an open source, cross-platform IDE for exploring pixel based graphics on the GPU. It is inspired by Adobe's Pixel Bender, but uses GLSL, and is created specifically with fractals and generative systems in mind.
Realsoft 3D is a full-featured 3D software package with a relatively low price tag. Realsoft 3D is available for Windows, Linux, IRIX and Mac OS X. The most recent version 7 has only been released for Windows.
picoCAD is a program to build and texture lowpoly 3D models. Programs for modelling are overly complicated, picoCAD aims to make it fun, easy, and accessible by focusing on the bare essentials. This program was made using pico 8.