Step by Step solution about How to resolve the algorithm Sierpinski carpet step by step in the Go programming language

This Go program generates a Sierpinski carpet fractal pattern using a recursive algorithm. Here's a detailed explanation of the code:

1. Package and Imports:

   • The program is in the main package.
   • It imports the fmt package for input and output operations.
   • It imports the strings package for string manipulation.
   • It imports the unicode/utf8 package for working with multi-byte UTF-8 characters.

2. Constants:

   • order is an integer that specifies the order or level of recursion for the carpet pattern.
   • grain is a string that represents the symbol used to fill in the carpet.

3. main Function:

   • carpet is a string slice that initially contains only the grain symbol.
   • The program enters a loop that iterates as long as order is greater than 0.
   • Inside the loop, it generates the next-level carpet pattern.

4. Generating the Next-Level Carpet:

   • hole is a string that contains spaces. Its length is equal to the number of runes (Unicode characters) in the current carpet.
   • middle is a string slice that will store the middle row of the next-level carpet.
   • The program iterates through the current carpet and for each row:
     • It concatenates the row with hole and again with the original row to create the middle row.
     • It replaces the original row with a string that repeats the current row three times.
   • The new carpet is then generated by concatenating the original carpet, the middle, and the original carpet again.

5. Printing the Carpet:

   • Once the carpet is generated, the program iterates through the rows and prints each row using fmt.Println.

This program generates a Sierpinski carpet fractal pattern as the order increases, creating a larger and more complex pattern. Each square in the carpet is constructed using the grain symbol and the algorithm described above.

package main

import (
    "fmt"
    "strings"
    "unicode/utf8"
)

var order = 3
var grain = "#"

func main() {
    carpet := []string{grain}
    for ; order > 0; order-- {
        // repeat expression allows for multiple character
        // grain and for multi-byte UTF-8 characters.
        hole := strings.Repeat(" ", utf8.RuneCountInString(carpet[0]))
        middle := make([]string, len(carpet))
        for i, s := range carpet {
            middle[i] = s + hole + s
            carpet[i] = strings.Repeat(s, 3)
        }
        carpet = append(append(carpet, middle...), carpet...)
    }
    for _, r := range carpet {
        fmt.Println(r)
    }
}