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Glenn Westmore  Mathematics, Games, Puzzles & Inventions ~ Discover your Creative Spirit Within! https://www.facebook.com/glennwestmore


๐ŸŽ‚ Happy Birthday to those of you born on October 19th. Have a good one ๐Ÿ˜๐Ÿ‘Š

๐Ÿ”ฎโ™‚๏ธโœด๏ธIn any 4 x 4 Latin Square, (each different element lies in its own unique row and column), there are exactly 7 different Latin arrangements. Each of these arrangements will be identified by what are often referred to as the 7 ruling planets. Mars is one of these ruling planets, having the following Latin arrangement.

๐ŸŒต๐ŸŒฟ๐ŸŒฑ Broad Bean flowers means harvesting is just around the corner ๐Ÿ˜€

๐Ÿ–๏ธ๐ŸคšHigh fives for 92727, what an extraordinary expression for what on the face of it is a fairly ordinary number. ๐Ÿ‘

๐Ÿ’Ž๐Ÿ”ฎโš–๏ธโ™Ž Opal is one of two established birthstones for the month of October. Here is a compound polycyclic representation of Opal. Enjoy ๐Ÿ‘Š!

Lichen this one ๐Ÿ˜Ž

๐Ÿ‘€๐Ÿ’ฅ๐ŸŒตHere we have a 3 x 3 Magic Square: each of the numbers across each row, down each column and along both diagonals all add to the same amount, called the Magic Sum. Now, what makes this magic square even more amazing is that each of these numbers also happen to be prime numbers. That is, each number can only be divided evenly by itself and one.
To top it all off, the magic sum just happens to equal its magic order, (size of the square) by the value of the centre square: 3 x 59 = 157
More magic to come ๐Ÿ˜€

๐Ÿ•ท๏ธ๐ŸŒน๐ŸŒป๐Ÿฆ‹ A colourful flower that looks like a cross between a butterfly and a dragon fly ๐Ÿค”

โ™€๏ธ๐ŸŠ A latin square is one where each different element, (number, symbol etc ) lies in its own unique row and column, (Sudoku is an example of a 9 x 9 Latin Square). Of particular interest are 4 x 4 latin squares as there are only 12 known types, with each being made up of a combination of exactly 7 different latin arrangements. ย So, with this in mind, each of these latin arrangements ย will be assigned a symbol representing each of the 7 ruling planets, in this case Venus.

โ™Žโš–๏ธA magic square is one where each row, column and both main diagonals all add to the same amount, called the magic sum. Of particular interest are the 4 x 4 magic squares as there are only 12 known types, with each of these having multiple other arrangements. ย So, with this in mind, each has been assigned to represent a star sign, in this case Libra. When we join together those pairs of numbers that add to half of the magic sum of 34, it reveals its unique magic pattern.

๐ŸŒป๐ŸŒธ๐ŸŒน๐Ÿฅ€ Here we have "two peas in a pod", captured here in a beautiful light on a very sunny morning along the Victorian coastline. Notice the tiny white coral like frills around the outside. The incredible complexity of even the most ordinary looking flowers is a treasure.

๐Ÿฎ๐Ÿ”๐Ÿ• Here is arguably the most well known Greek letter in mathematics, represented, (on reflection that is) in arguably it's most unusual way๐Ÿ˜‰

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