Here are the steps for fixing the 4×4 Rubik’s cube parity:
Steps: R2, T2, R2, TH2, R2, TH2
Here are the abbreviations:
R: Right
T: Top
TH: Top Half (for 4×4 this is the top two layers)

Practical guides to AI, computing, modelling, simulation, optimization and quantum computing, featuring hands-on tutorials, experiments and research.
Here are the steps for fixing the 4×4 Rubik’s cube parity:
Steps: R2, T2, R2, TH2, R2, TH2
Here are the abbreviations:
R: Right
T: Top
TH: Top Half (for 4×4 this is the top two layers)
Here are the steps to fix the parity when solving a 4×4 rubik’s cube:
Edge Parity: RD1, T2, LD1, F2, LU1, F2, RD2, T2, RU1, T2, RD1, T2, F2, R2, F2
The abbreviations are as follows:
RD – Right Down
LD – Left Down
RU – Right Up
RD – Right Down
T – Top
F – Front
nawk (new awk) extends the original awk with more built-in functions, better string handling, and user-defined functions. Most modern systems have both installed; nawk is generally preferred. This guide covers syntax, built-in variables, patterns, string functions, control flow, arrays, and common one-liners.
Note: This guide was originally published in 2006 and has been substantially expanded in May 2026 with full content, with assistance from Claude (Anthropic).
See Also — Other Quick Guides
Quick guide to n8n | Quick guide to NSCC ASPIRE2A | Quick guide to Docker | Quick guide to CVS | Quick guide to GNUPlot | Quick guide to Emacs | Quick guide to Git
For the full specification, see the GNU awk manual. On most Linux systems, man nawk or man awk also gives a concise reference.
A collection of commonly used keystrokes and configuration tips for GNU Emacs. Covers navigation, editing, buffers, search, and macros.
Note: This guide was originally published in 2006 and has been updated in May 2026 with corrected key notation, additional sections, and improved formatting, with assistance from Claude (Anthropic).
See Also — Other Quick Guides
Quick guide to n8n | Quick guide to NSCC ASPIRE2A | Quick guide to Docker | Quick guide to CVS | Quick guide to nawk | Quick guide to GNUPlot | Quick guide to Git
For the complete built-in reference, use C-h k (describe key) or C-h f (describe function) at any time within Emacs. The official manual is available at gnu.org/software/emacs/manual.
A practical reference for setting up and using the Concurrent Versions System (CVS). Commands were originally tested on CVS 1.10. Covers setup, import, checkout, commit, branching, tags, and remote repositories.
Note: This guide was originally published in 2006 and has been updated in May 2026 with additional sections and improved formatting, with assistance from Claude (Anthropic).
CVS is a legacy tool. For new projects, Git is strongly recommended. This guide is useful for working with existing CVS repositories.
See Also — Other Quick Guides
Quick guide to n8n | Quick guide to NSCC ASPIRE2A | Quick guide to Docker | Quick guide to nawk | Quick guide to Emacs | Quick guide to GNUPlot | Quick guide to Git
For a more comprehensive tutorial, see this CVS guide. For new projects, the Quick Guide to Git is a better starting point.
Install Homebew
/bin/bash -c “$(curl -fsSL https://raw.githubusercontent.com/Homebrew/install/HEAD/install.sh)”
Add a directory to path
echo >> /Users/mlow/.zprofile
echo ‘eval “$(/opt/homebrew/bin/brew shellenv)”‘ >> /Users/mlow/.zprofile
eval “$(/opt/homebrew/bin/brew shellenv)”