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Ok, for a 5 foot square space on a your usual grid the area contained in each is 5 square feet. That means that the length of the sides of this square have to be √5 feet long (2.2360679775... feet).
The movement speeds list your movement in square feet rather than just regular feet. A normal human can move up to 30 square feet in a single movement action. If they are walking in a continuous path of 5 foot squares without any diagonals, (those come into play later) then they travel at most 6*2.2306=13.4164... feet
Twice that on a double move for about 26.8328 feet. Four times that on an unencumbered, unarmored run for 53.6656.
These are all in a period of a single round which is 6 seconds.
Converting these three from feet/6 seconds to miles per hour gives
1.5246 mph single move
3.0492 mph double move
6.0984 mph run
These are for Bob McAverage.
The wizard Pythagaryl determines through years of study and intimate knowledge of sacred geometry that the superior way to move is diagonally. By walking the diagonal of a 5 foot square, they cover a distance of √10 per square (3.1623 feet per second).
Doing the same calculations before and presuming a normal rate of human movement
18.9737 ft/6 second single move, 2.1561 mph
37.9473 ft/6 second double move, 4.3132 mph
75.8947 ft/6 second run , 8.6244 mph
Pythagoryl moves √2 times faster moving diagonally compared to Bob McAverage speeds.
So clearly serpents, crustaceans, and other manner of sideways scurrying critters have been styling on bipeds for millennia. Why don't people move that way?