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"Parkour is the art of displacement, a discipline which consists in getting from a point to another through agile movement."

That would be the description of real parkour, but it's just as fitting for parkour in Minecraft.

The MCPK wiki

This goal of the MCPK wiki is to document the knowledge accumulated by the parkour community over the years, which has been largely acquired through observation and deduction. This "top-down" approach has led the community to discover mechanics such as 45° Strafe and Blips, but never to properly explain how or why they work.

Hence, a secondary goal of the MCPK wiki is to reverse-engineer the source code related to movement, and work upwards from there. This "bottom-up" approach is more arduous, but has given insights into previously known mechanics, and also led to the discovery of complex glitches that couldn't have been discovered through observations alone, such as Half Angles.