Hello, fellow explorer! Today, we will unravel the mystery of Recursion — a concept as enthralling as the patterns formed by two mirrors facing each other. Our aim is to decipher recursion, understand its inner workings, and master its application in Go.

Consider a stack of books. Do you want the bottom one? You'll need to remove each book above it, one by one. It's a recurring action — an example of recursion. In programming, recursion involves a function calling itself repeatedly until a specific condition is met, similar to descending stairs one step at a time until you reach the ground.

Here's a simple Go function illustrating recursion:

package main

import "fmt"

func RecursiveFunction(x int) {
    if x <= 0 { // Termination condition --> base case
        fmt.Println("Base case reached")
    } else {
        fmt.Println(x)
        RecursiveFunction(x - 1) // Recursive function call --> recursive case
    }
}

func main() {
    RecursiveFunction(5)
}
/*Output:
5
4
3
2
1
Base case reached
*/

This function keeps calling itself with x getting lower by one until x <= 0, which is our base case. At this point, it stops the recursion.

The base case acts like a friendly signpost, telling the recursion when to stop. In our book stack example, reaching a point where no more books are left to remove serves as the signal. Similarly, x <= 0 is our base case in our function. The base case is crucial as it prevents infinite recursion and related errors.

The recursive case is an essential part of recursion — the rule responsible for creating smaller versions of the original problem. Each call brings us a step closer to the base case. Let's use the process of calculating a factorial as an illustrative example.

To find a factorial, we multiply a number by the factorial of the number minus one, and repeat this process until we get to one (our base case):

package main

import "fmt"

func Factorial(n int) int {
    if n == 1 || n == 0 { // base case
        return 1
    } else {
        return n * Factorial(n - 1) // recursive case
    }
}

func main() {
    fmt.Println(Factorial(3)) // we expect 6 (3 * 2 * 1)
}

In this case, when we call Factorial(3), it returns 3 * Factorial(2), where Factorial(2) returns 2 * Factorial(1). As Factorial(1) is a base case, it returns 1. Consequently, the whole recursion chain returns 3 * 2 * 1.