Top 15 Pattern Programs For Logic Building

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15 Pattern Printing Questions with Solutions and Explanations.

Pattern printing is a great way to improve logical thinking and problem-solving skills. Below are 15 unique pattern questions, their solutions, and step-by-step explanations.

1️⃣ Right-Angled Triangle Pattern

Problem Statement:

Print the following pattern for N = 5:

*
**
***
****
*****

Solution:

n = 5
for i in range(1, n+1):
    print('*' * i)

Explanation:

  • Loop runs from 1 to N.
  • '*' * i prints i stars in each row.

2️⃣ Inverted Right-Angled Triangle

Problem Statement:

Print the following pattern for N = 5:

*****
****
***
**
*

Solution:

n = 5
for i in range(n, 0, -1):
    print('*' * i)

Explanation:

  • Loop runs in reverse order from N to 1.
  • Each row has i stars.

3️⃣ Pyramid Pattern

Problem Statement:

Print the following pyramid pattern for N = 5:

    *
   ***
  *****
 *******
*********

Solution:

n = 5
for i in range(n):
    print(' ' * (n-i-1) + '*' * (2*i+1))

Explanation:

  • Spaces decrease while stars increase in each row.
  • 2*i+1 ensures odd numbers of stars per row.

4️⃣ Diamond Pattern

Problem Statement:

Print the following diamond pattern for N = 5:

    *
   ***
  *****
 *******
*********
 *******
  *****
   ***
    *

Solution:

def print_diamond(n):
    for i in range(n):
        print(' ' * (n-i-1) + '*' * (2*i+1))
    for i in range(n-2, -1, -1):
        print(' ' * (n-i-1) + '*' * (2*i+1))

print_diamond(5)

Explanation:

  • First loop prints a pyramid.
  • Second loop prints an inverted pyramid.

5️⃣ Hollow Square Pattern

Problem Statement:

Print a hollow square for N = 5:

*****
*   *
*   *
*   *
*****

Solution:

n = 5
for i in range(n):
    if i == 0 or i == n-1:
        print('*' * n)
    else:
        print('*' + ' ' * (n-2) + '*')

Explanation:

  • First and last row print N stars.
  • Middle rows print stars at both ends.

6️⃣ Zig-Zag Pattern

Problem Statement:

Print a Zig-Zag pattern for N = 5:

  *   *   *
 * * * * *
*   *   *

Solution:

n = 5
for i in range(3):
    for j in range(n):
        if (i + j) % 4 == 0 or (i == 1 and j % 4 == 2):
            print('*', end=' ')
        else:
            print(' ', end=' ')
    print()

Explanation:

  • Conditions are used to place stars at specific locations.

7️⃣ Hollow Triangle

Problem Statement:

Print the following hollow triangle pattern for N = 5:

    *
   * *
  *   *
 *     *
*********

Solution:


n = 5 
for i in range(n):
    spaces = ' ' * (n - i - 1)  
    if i == 0:
        stars = '*'  
    elif i == n - 1:
        stars = '*' * (2 * i + 1)  
    else:
        stars = '*' + ' ' * (2 * i - 1) + '*'  
    print(spaces + stars)

Eplanation:

  • The first row has a single star.
  • The last row is filled completely.
  • Intermediate rows have spaces in between.

8️⃣ Number Pyramid

Problem Statement:

Print a number pyramid for N = 5:

    1
   121
  12321
 1234321
123454321

Solution:

n = 5
for i in range(1, n+1):
    print(' ' * (n-i), end='')
    for j in range(1, i+1):
        print(j, end='')
    for j in range(i-1, 0, -1):
        print(j, end='')
    print()

Explanation:

  • Each row prints numbers increasing, then decreasing.
  • Spaces are used for alignment.

9️⃣ Hollow Diamond Pattern

Problem Statement:

Print the following hollow diamond pattern for N = 5:

    *
   * *
  *   *
 *     *
*********
 *     *
  *   *
   * *
    *

Solution:

n = 5
# Upper part of the pattern
for i in range(n):
    spaces = ' ' * (n - i - 1)
    if i == 0:
        print(spaces + '*')
    else:
        inner_spaces = ' ' * (2 * i - 1)
        print(spaces + '*' + inner_spaces + '*')
# Lower part of the pattern
for i in range(n - 2, -1, -1):
    spaces = ' ' * (n - i - 1)
    if i == 0:
        print(spaces + '*')
    else:
        inner_spaces = ' ' * (2 * i - 1)
        print(spaces + '*' + inner_spaces + '*')

Explanation:

  • Top half follows increasing spaces with two stars on the edges.
  • The middle row is fully filled.
  • The bottom half mirrors the top half.

🔟 Butterfly Pattern

Problem Statement:

Print the following butterfly pattern for N = 4:

*      *
**    **
***  ***
********
***  ***
**    **
*      *

Solution:

n = 4
# Upper part of the pattern
for i in range(1, n + 1):
    left_stars = '*' * i
    spaces = ' ' * (2 * (n - i))
    right_stars = '*' * i
    print(left_stars + spaces + right_stars)

# Lower part of the pattern
for i in range(n - 1, 0, -1):
    left_stars = '*' * i
    spaces = ' ' * (2 * (n - i))
    right_stars = '*' * i
    print(left_stars + spaces + right_stars)

Explanation:

  • The first half prints increasing stars, spaces, and then stars again.
  • The second half is the reverse of the first half.

1️⃣1️⃣ Pascal’s Triangle

Problem Statement:

Print Pascal’s Triangle for N = 5:

    1
   1 1
  1 2 1
 1 3 3 1
1 4 6 4 1

Solution:

def pascal(n):
    for i in range(n):
        num = 1
        print(' ' * (n - i), end='')
        for j in range(i + 1):
            print(num, end=' ')
            num = num * (i - j) // (j + 1)
        print()

pascal(5)

Explanation:

  • Uses binomial coefficients to calculate values.
  • The formula num = num * (i - j) // (j + 1) computes the next number in the row.

1️⃣2️⃣ X Pattern

Problem Statement:

Print an X pattern for N = 5:

*   *
 * *
  *
 * *
*   *

Solution:

n = 5
for i in range(n):
    for j in range(n):
        if i == j or i + j == n - 1:
            print('*', end='')
        else:
            print(' ', end='')
    print()

Explanation:

  • Stars appear where i == j (diagonal) or i + j == n - 1 (anti-diagonal).

1️⃣3️⃣ Hourglass Pattern

Problem Statement:

Print the following hourglass pattern for N = 5:

*********
 *     *
  *   *
   * *
    *
   * *
  *   *
 *     *
*********

Solution:

n = 5
# Upper part of the pattern
for i in range(n):
    leading_spaces = ' ' * i
    middle_spaces = ' ' * (2 * (n - i - 1) - 1)
    right_star = '*' if i != n - 1 else ''
    print(leading_spaces + '*' + middle_spaces + right_star)

# Lower part of the pattern
for i in range(n - 2, -1, -1):
    leading_spaces = ' ' * i
    middle_spaces = ' ' * (2 * (n - i - 1) - 1)
    right_star = '*' if i != n - 1 else ''
    print(leading_spaces + '*' + middle_spaces + right_star)

Explanation:

  • The pattern is similar to a diamond, but inverted.

1️⃣4️⃣ Palindromic Number Pyramid

Problem Statement:

Print the palindromic number pyramid for N = 5:

    1
   2 1 2
  3 2 1 2 3
 4 3 2 1 2 3 4
5 4 3 2 1 2 3 4 5

Solution:

n = 5
for i in range(1, n + 1):
    print(' ' * (n - i), end='')
    for j in range(i, 0, -1):
        print(j, end=' ')
    for j in range(2, i + 1):
        print(j, end=' ')
    print()

Explanation:

  • First, numbers decrease from i to 1.
  • Then, numbers increase from 2 to i.
  • Spaces are used to align the pyramid.

1️⃣5️⃣ Hollow Pyramid Pattern

Problem Statement:

Print the following hollow pyramid pattern for N = 5:

    *
   * *
  *   *
 *     *
*********

Solution:

n = 5
for i in range(n):
    leading_spaces = ' ' * (n - i - 1)
    middle_spaces = ' ' * (2 * i - 1)
    right_star = '*' if i > 0 else ''
    
    if i == n - 1:
        print('*' * (2 * i + 1))
    else:
        print(leading_spaces + '*' + middle_spaces + right_star)

Explanation:

  • Top rows have stars at the edges and spaces in between.
  • Last row is completely filled with stars

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