Photo, above:  The Fibonacci numbers are Nature's numbering system. They appear everywhere in Nature, from the leaf arrangement in plants to the pattern of the florets of a flower, the bracts of a pinecone, or the scales of a pineapple. The Fibonacci numbers are therefore applicable to the growth of every living thing, including a single cell, a grain of wheat, a hive of bees, and even all of Mankind.

JOHN BATCHELOR SHOW 

Hour One

Tuesday   24 December 2013 / Hour 1, Block A: The Grand Design by Stephen Hawking and Leonard Mlodinow (1 of 4)

Tuesday   24 December 2013 / Hour 1, Block B: The Grand Design by Stephen Hawking and Leonard Mlodinow (2 of 4)

Tuesday   24 December 2013 / Hour 1, Block C: The Grand Design by Stephen Hawking and Leonard Mlodinow (3 of 4)

Tuesday   24 December 2013 / Hour 1, Block D: The Grand Design by Stephen Hawking and Leonard Mlodinow (4 of 4)

Hour Two

Tuesday   24 December 2013 / Hour 2, Block A:  Cycles of Time: An Extraordinary New View of the Universe by Roger Penrose (1 of 4)

Tuesday   24 December 2013 / Hour 2, Block B:  Cycles of Time: An Extraordinary New View of the Universe by Roger Penrose (2 of 4)

Tuesday   24 December 2013 / Hour 2, Block C:  Cycles of Time: An Extraordinary New View of the Universe by Roger Penrose (3 of 4)

Tuesday   24 December 2013 / Hour 2, Block D:  Cycles of Time: An Extraordinary New View of the Universe by Roger Penrose (4 of 4)

Hour Three

Tuesday   24 December 2013 / Hour 3, Block A:  A Universe from Nothing: Why There Is Something Rather than Nothing by Lawrence M. Krauss and Richard Dawkins (1 of 2)

Tuesday   24 December 2013 / Hour 3, Block B:  A Universe from Nothing: Why There Is Something Rather than Nothing by Lawrence M. Krauss and Richard Dawkins (2 of 2)

Tuesday   24 December 2013 / Hour 3, Block C:  The Book of Universes: Exploring the Limits of the Cosmos by John D. Barrow (1 of 2)

Tuesday   24 December 2013 / Hour 3, Block D:  The Book of Universes: Exploring the Limits of the Cosmos by John D. Barrow (2 of 2)

Hour Four

Tuesday   24 December 2013 / Hour 4, Block A:  The Irrationals by Julian Havil (1 of 4)

Tuesday   24 December 2013 / Hour 4, Block B:  The Irrationals by Julian Havil (2 of 4)

Tuesday   24 December 2013 / Hour 4, Block C:  The Irrationals by Julian Havil (3 of 4)

Tuesday   24 December 2013 / Hour 4, Block D:  The Irrationals by Julian Havil (4 of 4)

..  ..  ..

Music 

Hour 1:

Hour 2:

Hour 3:

Hour 4: