Cartesian mathematicism: The long concatenations of simple and easy reasoning which geometricians use in
achieving their most difficult demonstrations gave me occasion to imagine that all matters which may enter
the human mind were interrelated in the same fashion.
René Descartes
Number Patterns and their Wonders
Number Patterns and Their Wonders is a unique book that offers a detailed exploration of how to generate a wide variety of number patterns. This one-of-a-kind textbook has now been released in its second edition, as the first edition has been completely sold out. Grab your copy before stocks run out!
$10.00
Welcome to Math1089 – Mathematics for All!
I’m genuinely grateful that you’ve taken time from your busy schedule to stop by. This space is all about celebrating the elegance and fascination of mathematics. While math is indeed a beautiful subject, I understand it doesn’t always feel that way—especially for students who haven’t yet discovered the joy in numbers and patterns. My hope is to help change that, one insight at a time.
Thank you for visiting Math1089! I truly appreciate you taking the time out of your busy day to explore this space dedicated to the beauty and wonder of mathematics. Math is a beautiful subject, but I understand it’s not always easy to see that beauty right away—especially for students who may not yet share a passion for numbers and patterns.
Consider the following square matrix—an arrangement of numbers organized in equal rows and columns—that has been specially designed with the current year, 2025, in mind. Stay tuned as we analyze the square’s rows, columns, and diagonals to uncover the underlying mathematical beauty and symmetry.
Few Notable Properties
(a) The sum of the row elements in each row is equal to 2025. For example,
514 + 498 + 509 + 504 = 2025
508 + 505 + 513 + 499 = 2025
502 + 507 + 500 + 516 = 2025
501 + 515 + 503 + 506 = 2025
(b) The sum of the column elements in each column is equal to 2025. For example,
514 + 508 + 502 + 501 = 2025
498 + 505 + 507 + 515 = 2025
509 + 513 + 500 + 503 = 2025
504 + 499 + 516 + 506 = 2025
(c) The sum of the diagonal elements is also equal to 2025. For example,
514 + 505 + 500 + 506 = 2025
501 + 507 + 513 + 504 = 2025
(d) The sum of the same colour elements is also equal to 2025. For example,
514 + 504 + 506 + 501 = 2025
508 + 502 + 516 + 499 = 2025
498 + 509 + 513 + 505 = 2025
507 + 500 + 503 + 515 = 2025
(e) The sums of the numbers in the two sets of like coloured cells are again the same number 2025. For example,
508 + 502 + 516 + 499 = 2025
498 + 509 + 503 + 515 = 2025
(f) The sums of the numbers in the two sets of like coloured cells are again the same number 2025. For example,
498 + 508 + 503 + 516 = 2025
509 + 499 + 515 + 502 = 2025
(g) The sum of the numbers in the four central cells is again 2025. For example,
505 + 513 + 500 + 507 = 2025
(h) The sums of the numbers in the like-coloured 2 × 2 blocks are all 2025. For example,
514 + 498 + 505 + 508 = 2025
509 + 504 + 499 + 513 = 2025
500 + 516 + 506 + 503 = 2025
502 + 507 + 515 + 501 = 2025
(i) The sums of the numbers in the like-coloured 2 × 2 blocks are also 2025. For example,
508 + 505 + 507 + 502 = 2025
513 + 499 + 516 + 500 = 2025
(j) The sums of the numbers in the two sets of like coloured cells are again the same number 2025. For example,
514 + 509 + 500 + 502 = 2025
498 + 504 + 516 + 507 = 2025
508 + 513 + 503 + 501 = 2025
505 + 499 + 506 + 515 = 2025
This blog is as much yours as it is mine. Would you like to contribute an exceptional, non-routine article and have it published on Math1089? Perhaps you have a preliminary idea that you wish to see in its published form—please share your ideas by dropping us a line.
We wholeheartedly welcome your contributions and eagerly anticipate featuring your ideas on “Math1089 – Mathematics for All” in our next captivating mathematics blog post. Thank you for being a part of our journey, and we look forward to your involvement in shaping the future content of Math1089. See you soon for another intriguing exploration into the world of mathematics!