Introduction Cipher – meaning zero (0), nothing or an empty set. Decipher – to make something out of that seemingly meaningless nothing. Caroline or ‘Old Trout’ (as we affectionately remember her) was a brilliant mathematician. [more…]
I have always loved snowflakes. On a chairlift, with your head down into a biting wind, one is allowed about twenty minutes to study them settling on your clothes. They have two classes of symmetry; [more…]
The Silent Night Chapel (Stille-Nacht-Kapelle) is located in the town of Oberndorf bei Salzburg in the Austrian province of Salzburg, and is a monument to the Christmas carol Silent Night and its librettist, Joseph Mohr [more…]
The third Sunday of Advent – #Joy. A traditional English carol from the 16th century or earlier. © OldTrout
This is a poem written by Christina Rossetti, set to music first by Gustav Holst in 1906 and then by Harold Darke in 1911. This is by Darke : © OldTrout
Today is the first Sunday of Advent. It is time to light the first candle. #Hope. O come, O come, Emmanuel, And ransom captive Israel, That mourns in lonely exile here, Until the Son of [more…]
Benford’s Law is a theory of leading digits in numerical data sets. Whilst one might think that the frequency of the leading digit would be equally distributed across the nine digits each with approximately 11% [more…]
The golden ratio is well known and is associated with the Fibonacci sequence of numbers. (phi) is the positive root of the quadratic equation . The exact value is given by Its continued [more…]
A Sophie Germain prime is a prime number such that is also a prime number. That is, , where and are both prime. For example, . The sequence begins Sophie Germain () explored these primes [more…]
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