How many taxi-lines from point A (0,0) to B (3,5) ? Solution
We can define a "taxi-circle" as the set of points at taxi-distance R from center O.
How many points on the taxi-circle with radius R = 12 ? Value of taxi-π ? Solution
We want to go from A (0,0) to B (1,2).
The shortest path (taxi-line) has length x+y = 3.
As we have seen, there are several paths, and also we counted them.
Now the taxicab wants to go from A to B with d > x+y unit segments.
How many different paths ? for d = 5 ? Solution
(forth and back on a same segment are allowed)