95-Magic Square-14 (Different view)

Click here for the previous part of the magic square.

For centuries, magic squares have intrigued many minds, and now you can delve into their charm with just a simple input—a date!

With our specially crafted software, you can produce 8 varied magic squares, all centered around the date you provide. What sets this tool apart is that in each of the 8 magic squares, the first row will precisely align with the date you entered (formatted as DD-MM-YYYY).

🔍 What occurs next?

After you input a date:

The software swiftly computes and showcases 8 unique magic square designs.

Every square upholds the mathematical balance of a magic square, where the total of every row, column, and diagonal remains constant.

It’s a fascinating mix of mathematical reasoning and imaginative number play, all beginning with a significant date—be it your birthday, anniversary, or another memorable occasion!

🎯 Why give this a try?

It is an entertaining way to witness math in action.

Ideal for students, educators, and inquisitive individuals

Can be utilized in classrooms or simply for enjoyment

👉 Are you ready to witness the enchantment of numbers?

Click the button below to embark on your journey with a date!

Step-1

🧮📲 Tap the link above to begin your journey. After doing so, you'll be directed to a different page where the real excitement unfolds!

Step-2

🟡 Input any date in the yellow cells using the format “DD MM YY YY” (24 04 20 25).

✨ In just a few moments, the first row of all 8 magic squares will be automatically populated with the date you entered. Simultaneously, the other cells will be filled in, allowing you to quickly view eight distinct and intriguing magic squares, each possessing its unique design!

Step-3

🔗 Refer to the illustration below — on the shown page, there’s a link labeled “Click Here to access all addition patterns.”

You will uncover the concealed mathematical symmetries and addition patterns integrated within each magic square by clicking this link.

When you select this link, a new page will appear, showing all the various kinds of addition patterns present in the magic squares.

Understanding the Arrangement of Magic Square Patterns: A Visual Guide

On this newly unveiled page, you will find a unique and organized layout of eight distinct magic squares. The upper section showcases the first four magic squares, while the lower section presents the last four in a visually appealing manner.

To assist you in visualizing and comprehending the concealed symmetries and numerical relationships, elements from both the upper and lower sections are arranged vertically, one below the other, within specially designed tables. This configuration uncovers various types of addition patterns—from Pattern 11 to Pattern 19.

Each table is a showcase of numerical alignments, including the familiar vertical, horizontal, and diagonal, as well as some innovative combinations that will pique your interest. The diagrams, with their highlighted areas, act as visual aids, showing you exactly where these magic squares are and how their elements contribute to each pattern.

📌 For enhanced clarity, please refer to the illustration provided below.

The Entered Portion Will Appear as Follows:

Once you input the date in the specified yellow cells (in the format DD MM YY YY), the upper section of the page—referred to as the entered portion—will display this date as the first row across all 8 magic squares. This visually confirms that the system has accepted your input correctly.

Here is an example of how this entered portion will look on your screen:

This first row serves as the base for each of the 8 distinct magic squares, which are then automatically populated with numbers that preserve the unique magic square properties and addition patterns.

Special thanks to Abhishek Satpute, Aaswad Satpute, and Jyoti Satpute.

ANIL SATPUTE

92-Magic Square-13 (Albert Einstein’s 137th birthday- Pi Day)

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Dear Einstein, Happy Birthday

(Happy Pi Day)

🎉 Celebrating Pi Day and Einstein’s 137th Birthday with Magic Squares 🧮✨

Today is March 14 — the calendar date that mirrors the digits of π (pi), the most famous irrational number in mathematics: approximately 3.14159...
Pi represents the ratio of a circle’s circumference to its diameter, and it's a constant that has fascinated mathematicians for centuries. That's why every year, March 14 (3/14) is celebrated around the world as Pi Day — a tribute to the beauty and mystery of circles.

But that’s not all…

🎂 March 14 is also the birthdate of one of the greatest minds in history — Albert Einstein!
Born on March 14, 1879, today marks what would be his 137th birthday.

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🧠 Honoring Einstein with a Magical Touch

To celebrate both Pi Day and Einstein’s 137th birthday, let’s explore two magic squares created using five significant numbers:

➡️ 03, 14, 18, 79, and 137

These numbers represent:

• 03 → March (the third month)
• 14 → The date
• 18 → Possibly the year suffix from a reference like 2018 (or could stand in creatively for ‘Pi Day in 2018’)
• 79 → Year of Einstein’s birth (1879)
• 137 → Einstein’s 137th birthday

These five numbers form the first row of two uniquely constructed magic squares, where the sum of numbers in each row, column, and diagonal is the same — a delightful blend of numerical harmony!

🧊 Magic Square 1

Magic square 1

Magic square 2

91-Magic Square-12 (Software (5 x 5) part-3)

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This is the third part of the 5x5 magic square software.

You can enter any 5 numbers between -9999 to 9999 (actually you can enter any number, but for the betterment of the look of the sheet, this restriction is implemented in the software) of your choice in the first row. The software will give you two different magic squares with your chosen numbers in 1 st row. These two magic squares have 120 types of the same addition.

Now the software is uploaded and ready to use.

Rows	5
Columns	5
Diagonals	2
Broken Diagonals	8
Different Patterns	100
Total	120

Click the following button for the software of magic squares of order 5 x 5.

Now we will see all the properties of 5 x 5 magic squares one by one. Let us see the magic squares in which we choose the first row with the numbers 9, 21, 34, 45, and 56. The following two magic squares will be obtained by the software. 

90-Magic Square-11 (Software (5 x 5) part-2)

Click here for the previous part of the magic square.

Prepare your own two magic squares of 5 rows and 5 columns, in which the first row is of your choice. You can enter any 5 numbers between -9999 and 9999 (actually, you can enter any number, but for the betterment of the look of the sheet, this restriction is implemented in the software) of your choice in the first row. The software will give you two different magic squares with your chosen numbers in 1 first row. These two magic squares have 120 types of the same addition.

Rows	5
Columns	5
Diagonals	2
Broken Diagonals	8
Different Patterns	100
Total	120

Click the following button for the software of the magic squares of order 5 x 5.

Now we will see all the properties of 5 x 5 magic squares one by one. Let us examine the magic squares in which we choose the first row to contain the numbers 9, 21, 34, 45, and 56. The following two magic squares will be obtained by the software. 

4) Addition of all the numbers in the Broken Diagonals: (13 to 20)

     a) First Broken Diagonal: (13/20)

09 + 33 + 54 + 23 + 46 = 165         09 + 18 + 38 + 46 + 54 = 165

     b) Second Broken Diagonal: (14/20)

44 + 21 + 52 + 36 + 12 = 165         36 + 21 + 12 + 52 + 44 = 165

     c) Third Broken Diagonal: (15/20)

24 + 55 + 34 + 10 + 42 = 165         55 + 47 + 34 + 19 + 10 = 165

     d) Fourth Broken Diagonal: (16/20)

53 + 32 + 13 + 45 + 22 = 165         22 + 08 + 53 + 45 + 37 = 165

     e) Fifth Broken Diagonal: (17/20)

56 + 44 + 32 + 23 + 10 = 165         56 + 36 + 08 + 46 + 19 = 165

     f) Sixth Broken Diagonal: (18/20)

45 + 33 + 24 + 11 + 52 = 165         45 + 18 + 55 + 35 + 12 = 165

     g) Seventh Broken Diagonal: (19/20)

34 + 20 + 12 + 53 + 46 = 165         34 + 11 + 44 + 22 + 54 = 165

     h) Eighth Broken Diagonal: (20/20)

21 + 13 + 54 + 42 + 35 = 165         21 + 53 + 38 + 10 + 43 = 165

The remaining 100 types of addition patterns will be published in the next blog.

Click here for the next part of the magic square.

ANIL SATPUTE

89-Magic Square-10 (Software (5 x 5) part-1)

Click here for the previous part of the magic square.

Prepare your own two magic squares of 5 rows and 5 columns in which the first row is of your choice. You can enter any 5 numbers between -9999 to 9999 (actually you can enter any number, but for the betterment of the look of the sheet, this restriction is implemented in the software) of your choice in the first row. The software will give you two different magic squares with your chosen numbers in 1 st row. These two magic squares have 120 types of the same addition.

Rows	5
Columns	5
Diagonals	2
Broken Diagonals	8
Different Patterns	100
Total	120

Click the following button for the software of magic squares of order 5 x 5.

Now we will see all the properties of 5 x 5 magic squares one by one. Let us see the magic squares in which we choose the first row with the numbers 9, 21, 34, 45, and 56. The following two magic squares will be obtained by the software. 

Now we will see all types of addition:

1) Addition of all the numbers in the Rows: (1 to 5)

     a) First Row: (1/5)

09 + 21 + 34 + 45 + 56 = 165         09 + 21 + 34 + 45 + 56 = 165

     b) Second Row: (2/5)

44 + 55 + 13 + 20 + 33 = 165         36 + 47 + 53 + 11 + 18 = 165

     c) Third Row: (3/5)

24+ 32 + 43 + 54 + 54 = 165         55 + 47 + 20 + 38 + 44 = 165

     d) Forth Row: (4/5)

55+ 11 + 23 + 36 + 42 = 165         22 + 35 + 46 + 52 + 10 = 165

    e) Fifth Row: (5/5)

35+ 46 + 52 + 10 + 22 = 165         43 + 54 + 12 + 19 + 37 = 165

2) Addition of all the numbers in the Columns: (6 to 10)

     a) First Column: (6/10)

09+ 44 + 24 + 53 + 35 = 165         09 + 36 + 55 + 22 + 43 = 165

     b) Second Column: (7/10)

21+ 55 + 32 + 11 + 46 = 165         21 + 47 + 08 + 35 + 54 = 165

     c) Third Column: (8/10)

34+ 13 + 43 + 23 + 52 = 165         34 + 53 + 20 + 46 + 12 = 165

     d) Forth Column: (9/10)

45 + 20 + 54 + 36 + 10 = 165         45 + 11 + 38 + 52 + 19 = 165

     e) Fifth Column: (10/10)

56 + 33 + 12 + 42 + 22 = 165         56 + 18 + 44 + 10 + 37 = 165

3) Addition of all the numbers in the Diagonals: (11 to 12)

     a) First Diagonal: (11/12)

09 + 55 + 43 + 36 + 22 = 165         09 + 47 + 20 + 52 + 37 = 165

     b) Second Diagonal: (12/12)

56 + 20 + 43 + 11 + 35 = 165         56 + 11 + 20 + 35 + 43 = 165

8 types of broken diagonal addition and 100 types of different patterns of addition will be published in the next blog.

Click here for the next part of the magic square.

ANIL SATPUTE

85-Magic Square-9 (magic square of some particular date Part-3)

Click here for the previous part of the magic square.

The most amazing part of this blog is that you can prepare your own two Magic Squares using the software for which the link is provided here.

You can prepare magic squares simply by clicking the following images.

A) Magic Square Maker for any Date:

B) Magic Square Maker for Any Numbers:

In the previous blog, we observed, the addition of all the numbers in other patterns 1, 2, and 3.
Today we will discuss some new concepts of the magic square.

7) Addition of all the numbers in other pattern-04: 

See the following diagrams in which each row is highlighted.

Here, two more patterns have the sum of the numbers as the same. For the first pattern, the middle numbers are to be taken from the 1st and second rows, and for the second pattern, we need to take the middle numbers from the 3rd and the 4th row. Please see the following diagram to understand more about this concept.

Fig (27)                           Fig (28)

04 + 19 + 67 + 31  =  121        21 + 02 + 29 + 69  =  121

In the second case,  

see the following diagram.

Fig (29)                       Fig (30)

69 + 18 + 02 + 32  =  121      01 + 33 + 70 + 17  =  121 

Click here for the next part of the magic square.

ANIL SATPUTE

84-Magic Square-8 (magic square of some particular date Part-2)

Click here for the previous part of the magic square.

In the previous blog, we observed, the addition of all the numbers in each row, column, diagonal and broken diagonal. Today we will discuss some new patterns of the same magic square.

4) Addition of all the numbers in other pattern-01: 

83-Magic Square-7 (magic square of some particular date Part-1)

Click here for the next blog on the magic square.

Today we will discuss something new about the Magic square prepared for some specific date.

See the following examples for the date 30/04/1968.

Here the 1st row of both the squares is 30/04/1968.

The addition of all the numbers in each row, column, and diagonal is the same. Like this all together we 26 kind of groups in which addition of all these numbers is same. We will discuss all these groups one by one. Let us observe all these groups in the following diagrams.

1) Addition of all the numbers in each row: 

72-Magic Square-5 (different cells and addition part-2)

Click here for the next blog on the magic square.

Addition of different cell elements of Magic Squares:

🔢 Delving Deeper into Hidden Patterns in the Magic Square  

We have already observed that in a 4 × 4 magic square, the total numbers in every row, column, and diagonal consistently add up to 34.  

That’s the charm of a magic square!  

Each of these lines comprises four elements; this unchanging total is one of its key characteristics.  

However, what’s even more intriguing is that the sum of numbers arranged in particular patterns or positions throughout the square, in addition to rows, columns, or diagonals, also totals 34.  

📐 The illustration below highlights various combinations of 4 cells that adhere to this unique property.  

It’s akin to uncovering concealed symmetry and mathematical harmony that goes beyond the obvious.

 (1 + 15 + 12 + 6)      (14 + 4 + 7 + 9)

(R₁C₁, R₁C₂, R₂C_1, R₂C₂)    (R₁C₃, R₁C₄, R₂C_3, R₂C₄)

🔍 Discovering More Concealed Groups in the Magic Square

In the provided example, the total of the chosen numbers — 1 + 15 + 12 + 6 — equals 34.

This verifies the magical characteristic even when numbers are selected from non-linear positions!

Similarly, numerous other combinations of 4 cells, located in various square areas, also yield the same sum.

✨ Now let's delve into additional groups where the numbers may not align in a straight line, yet their sum still fantastically amounts to 34.

These instances beautifully showcase the hidden symmetry and refined structure of a magic square.

 

(11 + 5 + 2 + 16)      (8 + 10 + 13 + 3)

(R₃C₃, R₃C₄, R₄C_3, R₄C₄)  (R₃C₁, R₃C₂, R₄C_1, R₄C₂)

(15 + 14 + 3 + 2)      (8 + 12 + 9 + 5)

(R₁C₂, R₁C₃, R₄C_2, R₄C₃)  (R₂C₁, R₃C₁, R₂C_4, R₃C₄)

(15 + 12 + 5 + 2)      (14 + 9 + 8 + 3)

(R₁C₂, R₂C₁, R₃C_4, R₄C₃)  (R₁C₃, R₂C₄, R₃C_1, R₄C₂)

(6 + 7 + 10 + 11)         (1 + 4 + 13 + 16)

(R₂C₂, R₂C₃, R₃C_2, R₃C₃)  (R₁C₁, R₁C₄, R₄C_1, R₄C₄)

(1 + 7 + 10 + 16)         (4 + 6 + 11 + 13)

(R₁C₁, R₂C₃, R₃C_2, R₄C₄)  (R₁C₄, R₂C₂, R₃C_3, R₄C₁)

(6 + 9 + 3 + 16)         (15 + 4 + 10 + 5)

(R₂C₂, R₂C₄, R₄C_2, R₄C₄)  (R₁C₂, R₁C₄, R₃C_2, R₃C₃)

(12 + 7 + 13 + 2)         (1 + 14 + 8 + 11)

(R₂C₁, R₂C₃, R₄C_1, R₄C₃)  (R₁C₁, R₁C₃, R₃C_1, R₃C₃)
✨ Explore More Magical Patterns!
In the same way, you can discover many intriguing relationships between the numbers placed in different cells and their resulting sums. Keep exploring — every pattern reveals a new layer of mathematical beauty!

Click here for the next blog on the magic square.

ANIL SATPUTE