FOSSwire

DO NOT INSTALL COMPIZ FUSION IF YOU ARE A NEW USER
USING 3RD PARTY REPOSITORIES IS NOT RECOMMENDED

If you are adamant about installing Compiz Fusion from a 3rd party repository, this is the only method I recommend. I strongly discourage the use of Trevino's repository.

*updated to reflect Amaranth's guide*

https://help.ubuntu.com/community/CompositeManager/CompizFusion
Amaranth is the developer/maintainer of Compiz for Ubuntu. These are packages backported directly from the Gutsy Repository. This repository does not have a pgp key, to remind users that they are installing/updating from a 3rd party repository.

**compiling links at the bottom of this post

*please remove any repositories you were using (i.e. vorian extras Treveno eyecandy)
** also purge Treveno's packages
sudo apt-get --purge remove compiz* libcompizconfig
then
sudo aptitude remove libgnome-compiz-manager0 compiz-extra libcompizconfig0 compiz-dev compiz-gtk compiz-kde compiz-settings libcompizconfig-backend-gconf compiz-config-ini gcompizthemer compiz-plugins libgnome-compiz-manager-dev compizconfig-backend-kde compizconfig-settings-manager python-compizconfig compiz-config-gnome taskbar-compiz compizconfig-plugin compiz-freedesktop-dev compiz-fusion-plugins-unofficial compiz-bcop compiz-ccs-settings-manager libgnome-compiz-manager libcompizconfig0-dev compiztools compizconfig-settings-legacy compiz-fusion-plugins-extra compiz-compcomm-plugins-main compiz-fusion-plugins-unsupported compiz compiz-extra-plugins compiz-fusion-plugins-main libcompizconfig-backend-kconfig compiz-core compiz-decorator gnome-compiz-manager compiz-fusion-plugins-main compiz-gnome libcompizconfig-dev libgnome-compiz-manager0-dev libcompizconfig0 libcompizconfig-backend-gconf libcompizconfig0-dev libcompizconfig-backend-kconfig libcompizconfig-dev

First add Amaranth's repository:
add to your /etc/apt/sources.list (see Adding Repositories for additional help)
deb http://ppa.dogfood.launchpad.net/amaranth/ubuntu feisty main restricted universe multiverse
deb-src http://ppa.dogfood.launchpad.net/amaranth/ubuntu feisty main restricted universe multiverse

Next, update your repository and install Compiz & Compiz Fusion Plugins
select all:
sudo apt-get update && sudo apt-get dist-upgrade && sudo apt-get install compiz compizconfig-settings-manager
LETS GET COMPIZ FUSION RUNNING!!!!

*The Following commands should be entered after hitting ALT+F2 (looks like this)

To Run Compiz Fusion
use alt+F2 and enter
compiz --replaceTo configure Compiz
alt+F2 and enter
ccsmYou can also configure Compiz Fusion by going to System>Preferences>CompizConfig Settings Manager

Have Fun

TO COMPILE COMPIZ FUSION FIRST RELEASE 0.5.2

The Compiz Fusion 0.5.2 tarballs are available at http://releases.compiz-fusion.org/0.5.2/ . You can verify these tarballs using the sha1sums in http://releases.compiz-fusion.org/0.5.2/compiz-fusion-0.5.2.sha1 , which are signed by Compiz Fusion Release Team GPG key (C2B8F46E) at http://releases.compiz-fusion.org/0.5.2/compiz-fusion-0.5.2.sha1.asc . The matching Compiz Core tarball is available in the compiz/ subdirectory.
Instructions on upgrading from Beryl can be found here
For more information, see onestone’s forum post here
more info at the compiz fusion blog....

I discourage the use of Trevino's repository.

Please see this updated guide

All I can say is WOW!

I watched this video and all I could think was, "I've got to get me one of those!"

Here is the original guide I used to get it working on my machine:
Compiz Fusion

My Ubuntu Forums Copy of the guide:
Ubuntu Forums

I am very excited at the prospects of this new Fusion!