Blog Post #121: Sure Way Home ♥♥♥

Dear Readers,

Many years ago, during a show within the theatre of my previous school, the delightful song ‘Three is a Magic Number’ started playing, and suddenly hundreds of smiling people looked directly at me because practically everyone there knew that 3 is my absolute favourite number! (A new version of the song plays near the end of ‘Spiderman: No Way Home’.)

I might have been thinking about it less often when I was a child…

A very happy three 😊😊😊

…but now there are honestly lots of reasons for my love of three, and the following lovely pictures do show some of them:-

A photo from 11 years 4 months & 4 days ago = 4144 days ago;
SUCH TIME ON EARTH IS LIKE A MOMENT OUT OF JOYFUL ETERNITY SURE TO COME ♥♥♥
BIBLE VERSE MATTHEW 1:21 ALWAYS GIVES GREAT COMFORT
(& it’s a reassuring reminder here in Blog Post #121),
SO WE CAN LIVE WITH FULLY JUSTIFIED HOPE, JOY & PEACE THROUGHOUT OUR LIVES

Another favourite photo is the following stunning view of the French Alps that people shared via Facebook recently.

What thoughts come to your mind when you see this magnificent picture?
Personally, I think of our journey on Earth leading to Heaven.
It need not be feared. With trust in God, every step can be enjoyed gratefully.
That’s the sure way home.

My current house number is 11. Three fun facts involving it are:-

11 squared = 121, the palindromic number of this particular blog post

121 is the smallest 3-digit number which has exactly three factors: 1, 11 and 121; that happens because it’s the square of a prime number

11 cubed (or 11 raised to the power of 3) equals 1331,

another pretty palindrome 😊😊😊

Thinking of Home in another dimension

It’s time for a quick, wee word puzzle… Rearrange the letters of TURN THE KEY to make THEN + the six-letter name of a beautiful country.

Istanbul, the largest city in TURKEY 😊

The beautiful Musica Mundi School (where I work as the Mathematics Teacher) is currently blessed with 7 lovely Turkish students. One of them is Cansu, who easily solved a little Christmas puzzle that kind friends first shared with me before I shared it with others, too.

The three trees are similar yet different for now.
 
I am going to move just one single number from one tree to another tree.
 
Can you read my mind and tell me which number I’ll move to which tree, and why?

My youngest, 15-year-old niece (in England) and my cousin Anne (in Scotland) both thought of moving number 9 to the first tree, after which the sum of the numbers on each tree will be exactly 15.

Cansu no less creatively thought of just moving 8 to the first tree, after which the individual tree sums would come to 14, 15 and 16, forming a nice sequence of consecutive numbers.

Now imagine that we wanted to have more than three trees. We’ll still be using the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 just once each.

How can the numbers be distributed such that the total on each tree is equal, using as many trees as possible?

Still thinking about my colleagues and my students, I would like to wish very bright ☼ happy birthdays to Norea (for this past Thursday), Mila (yesterday), Andrea (today) and Headmaster Herman for tomorrow ♥.

PROVERBS 23:7–“As You Think, So You Are” ♥

I know lots of people who love a good chess puzzle, and so let’s enjoy the following…

White has an invisible pawn somewhere on the f-file.
Where exactly should it be placed so that it will then be
Black to move and force checkmate in just 3 moves?

I would like to conclude now by wishing everyone a very blessed, joyful Christmas and a happy new year coming soon, too.

The best teacher of all opened hearts with His perfect love ♥♥♥

With kindest wishes as always,

Paul M😊twani xxx

P.S. In the chess puzzle, White’s invisible pawn is on f3, and Black forces checkmate with 1…Rf4+! 2 gxf4 Qh4+ 3 Kf5 Qxf4#, a beautiful finish!

In the ‘maximum number of trees’ puzzle, the answer is to have five trees with these numbers on them: 1 & 8; 2 & 7; 3 & 6; 4 & 5; 9. In that way, the total sum on each tree equals nine.

Author: Paul A. Motwani

My name is Paul Motwani, but my colleagues, my students and their parents mostly call me "Mr. Mo"! My middle initial, A, stands for Anthony, because I was born on the official feast day of St. Anthony of Padua, the patron saint of miracles and of lost souls. I love teaching Mathematics and Chess, and giving fun-packed talks and shows in schools and clubs. The popular ingredients of Math, Chess, Mystery and Magic are my "Fantastic Four", and I give prizes too! I am an International Chess Grandmaster, and (loooooong ago!) I was the World Under-17 Champion. I am the author of five published chess books and hundreds of newspaper articles. I live with my wonderful wife and son in Belgium. I also love music, movies and puzzles. I blog at paulmotwani.com. My e-mail address is pmotwani141@gmail.com. You can find me on Facebook, too.

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