Table of Contents

SNo.	Link
1	Solid Square
2	Right-Angled Triangle
3	Inverted Right-Angled Triangle
4	Right-Aligned Triangle
5	Inverted Right-Aligned Triangle
6	Full Pyramid
7	Inverted Pyramid
8	Diamond
9	Flyod's Triangle
10	Pascal's Triangle
11	Binary Triangle
12	Palindrome Number
13	Hollow Square
14	Hollow Pyramid
15	Butterfly
16	Cross
17	Hourglass
18	Hollow Diamond

---

1. Solid Square

#Expected Output for n = 5
* * * * *
* * * * *
* * * * *
* * * * *
* * * * *

R\C	j=1	j=2	j=3	j=4	j=5
i=1	*	*	*	*	*
i=2	*	*	*	*	*
i=3	*	*	*	*	*
i=4	*	*	*	*	*
i=5	*	*	*	*	*

• Both i and j loop should run for n times

Python

n = int(input())
for i in range(n):
    for j in range(n):
        print("*", end=" ")
    print()

Python

#String Multiplication
n = int(input())
for i in range(n):
    print("* " * n)

---

2. Right-Angled Triangle

Python

#Expected Output for n = 5
*
* *
* * *
* * * *
* * * * *

Python

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

Python

A
A B
A B C
A B C D
A B C D E

R\C	j=1	j=2	j=3	j=4	j=5
i=1	*
i=2	*	*
i=3	*	*	*
i=4	*	*	*	*
i=5	*	*	*	*	*

* should be printed until j<=i

Python

n=int(input())
for i in range(1, n+1):
    for j in range(i):
        print("*", end=" ")
    print()

Python

#String multiplication
n=int(input())
for i in range(1, n+1):
    print("* " * i)

Python

n=int(input())
for i in range(1, n+1):
    for j in range(1, i+1):
        print(j, end=" ")
    print()

Python

n=int(input())
for i in range(1, n+1):
    for j in range(i):
        print(chr(65+j), end=" ")
    print()

---

3. Inverted Right-Angled Triangle

Python

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

Python

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

Python

A B C D E
A B C D
A B C
A B
A

R\C	j=1	j=2	j=3	j=4	j=5
i=1	*	*	*	*	*
i=2	*	*	*	*
i=3	*	*	*
i=4	*	*
i=5	*

• Similar to Right-Angled Triangle. Just start the loop from n

Python

n=int(input())
for i in range(n, 0, -1):
    for j in range(i):
        print("*", end=" ")
    print()

Python

n=int(input())
for i in range(n, 0, -1):
    for j in range(1, i+1):
        print(j, end=" ")
    print()

Python

n=int(input())
for i in range(n, 0, -1):
    for j in range(i):
        print(chr(65+j), end=" ")
    print()

---

4. Right-Aligned Triangle

#Expected Output for n = 5
    *
   **
  ***
 ****
*****

R\C	j=1	j=2	j=3	j=4	j=5
i=1					*
i=2				*	*
i=3			*	*	*
i=4		*	*	*	*
i=5	*	*	*	*	*

• no. of white spaces: n-i and no. of '*' : i

Python

n=int(input())
for i in range(1,n+1):
    for j in range(n-i): #Loop runs for n-i times, since we have n-i white spaces
        print(' ',end='')
    for k in range(i): #Loop runs for i times, since we have i '*'
        print('*',end='')
    print()

Python

n=int(input())
for i in range(1,n+1):
    print(' '*(n-i)+'*'*i) #String concatenation

---

5. Inverted Right-Aligned Triangle

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

R\C	j=1	j=2	j=3	j=4	j=5
i=1	*	*	*	*	*
i=2		*	*	*	*
i=3			*	*	*
i=4				*	*
i=5					*

• Similar to Right Aligned Triangle. Just start the loop from n

n = int(input())
for i in range(n, 0, -1):
    print(" " * (n - i) + "*" * i)

---

6. Full Pyramid

Python

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

Python

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

i=1					*
i=2				*	*	*
i=3			*	*	*	*	*
i=4		*	*	*	*	*	*	*
i=5	*	*	*	*	*	*	*	*	*

• 2*i-1 '*' and n-i spaces

i=1					*	W
i=2				*	W	*	W
i=3			*	W	*	W	*	W
i=4		*	W	*	W	*	W	*	W
i=5	*	W	*	W	*	W	*	W	*

Here W is the white space

• This is similar to Right-Aligned Triangle. Just add a space after * i.e. '* '

Python

n = int(input())
for i in range(1, n + 1):
    print(" " * (n - i) + "*" * (2 * i - 1))

Python

n = int(input())
for i in range(1,n+1):
    print(' '*(n-i)+'* '*i)

---

7. Inverted Pyramid

Python

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

Python

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

• It is similar to Full Pyramid. Just start the loop from n

Python

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

Python

n = int(input())
for i in range(n,0,-1):
    print(" " * (n - i) + "*" * (2 * i - 1))

---

8. Diamond

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

• Upper-half is Full Pyramid and lower-half is Inverted Pyramid but loop starts from n-1

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

---

9. Flyod's Triangle

1 
2 3 
4 5 6 
7 8 9 10 
11 12 13 14 15

R\C	j=1	j=2	j=3	j=4	j=5
i=1	1
i=2	2	3
i=3	4	5	6
i=4	7	8	9	10
i=5	11	12	13	14	15

• Similar to Right-Angled Triangle. Here we take num and increment it

n = int(input())
num = 1
for i in range(n+1):
    for j in range(i):
        print(num, end=' ')
        num += 1
    print()

---

10. Pascal's Triangle

      1 
     1 1 
    1 2 1 
   1 3 3 1 
  1 4 6 4 1 
 1 5 10 10 5 1

R\C	j=1	j=2	j=3	j=4	j=5	j=6
i=1						1
i=2					1	1
i=3				1	2	1
i=4			1	3	3	1
i=5		1	4	6	4	1
i=6	1	5	10	10	5	1

• Pascal's Triangle formula: val = val * (i - j) // (j + 1)
• n-i spaces and i no. of numbers

n = int(input())
for i in range(n):
    print(' '*(n-i),end='')
    val = 1
    for j in range(i+1):
        print(val, end=' ')
        val = val * (i - j) // (j + 1)
    print()

---

11. Binary Triangle

1 
0 1 
1 0 1 
0 1 0 1 
1 0 1 0 1

R\C	j=1	j=2	j=3	j=4	j=5
i=1	1
i=2	0	1
i=3	1	0	1
i=4	0	1	0	1
i=5	1	0	1	0	1

• print 1 if i + j = even else 0

n = int(input())
for i in range(1,n+1):
    for j in range(1,i+1):
        if (i+j) % 2 == 0:
            print(1, end=' ')
        else:
            print(0, end=' ')
    print()

---

12. Palindrome Number

    1
   121
  12321
 1234321
123454321

i=1					1
i=2				1	2	1
i=3			1	2	3	2	1
i=4		1	2	3	4	3	2	1
i=5	1	2	3	4	5	4	3	2	1

• n-i spaces
• Split the pattern i.e. j^th loop to print ascending order and k^th loop to print descending order but starting from i-1

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

---

13. Hollow Square

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

R\C	j=1	j=2	j=3	j=4	j=5
i=1	*	*	*	*	*
i=2	*				*
i=3	*				*
i=4	*				*
i=5	*	*	*	*	*

• '*' is being printed at i = 1 , n and j = 1 , n else whitespace

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

---

14. Hollow Pyramid

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

i=1					*
i=2				*		*
i=3			*				*
i=4		*						*
i=5	*	*	*	*	*	*	*	*	*

• n-i spaces and j^th loop for 1 to 2*i times
• We need to print * at the ends i.e. j = 1 or j = 2 * i -1 and i = n else whitespace

n = int(input())
for i in range(1, n + 1):
    print(" " * (n - i), end="")
    for j in range(1, 2 * i):
        if j == 1 or j == 2 * i - 1 or i == n:
            print("*", end="")
        else:
            print(" ", end="")
    print()

---

15. Butterfly

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

i=1	*									*
i=2	*	*							*	*
i=3	*	*	*					*	*	*
i=4	*	*	*	*			*	*	*	*
i=5	*	*	*	*	*	*	*	*	*	*
i=4	*	*	*	*			*	*	*	*
i=3	*	*	*					*	*	*
i=2	*	*							*	*
i=1	*									*

• Split into upper and lower halves. 2i no. of stars and 2 * (n-i) whitespaces

n = int(input())
for i in range(1, n + 1):
    print("*" * i + " " * (2 * (n - i)) + "*" * i)
for i in range(n-1, 0, -1):
    print("*" * i + " " * (2 * (n - i)) + "*" * i)

---

16. Cross

*       *
  *   *  
    *    
  *   *  
*       *

R\C	j=1	j=2	j=3	j=4	j=5
i=1	*				*
i=2		*		*
i=3			*
i=4		*		*
i=5	*				*

• Print * if i==j or i+j == n-1

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

---

17. Hourglass

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

i=1	*	*	*	*	*
i=2		*	*	*	*
i=3			*	*	*
i=4				*	*
i=5					*
i=4				*	*
i=3			*	*	*
i=2		*	*	*	*
i=1	*	*	*	*	*

• Similar to Diamond

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

---

18. Hollow Diamond

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

i=1					*
i=2				*		*
i=3			*				*
i=4		*						*
i=5	*								*
i=4		*						*
i=3			*				*
i=2				*		*
i=1					*

• Similar to Hollow Pyramid except you don't write i = n and i^th loop from n-1 for lower-half

n = int(input())
for i in range(1, n + 1):
    print(" " * (n - i), end="")
    for j in range(1, 2 * i):
        if j == 1 or j == 2 * i - 1:
            print("*", end="")
        else:
            print(" ", end="")
    print()
for i in range(n-1, 0,-1):
    print(" " * (n - i), end="")
    for j in range(1, 2 * i):
        if j == 1 or j == 2 * i - 1:
            print("*", end="")
        else:
            print(" ", end="")
    print()

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