Patterns and Numbers in Nature and the World PDF

Patterns and Numbers in Nature and the World  PATTERNS IN NATURE WHAT ARE THE PATTERNS IN NATURE? Natural Patterns / Patterns in nature are visible regular forms found in the natural world. The patterns can sometimes be modeled mathematically. 2 ...

Patterns and Numbers in Nature and the World  PATTERNS IN NATURE WHAT ARE THE PATTERNS IN NATURE? Natural Patterns / Patterns in nature are visible regular forms found in the natural world. The patterns can sometimes be modeled mathematically. 2  PATTERNS IN NATURE Early Greek Philosophers studied these patterns, with Plato, Pythagoras and Empedocles attempting to explain order in nature which lead to the modern understanding of visible patterns. 3 What are the types of Patterns?  What are the types of Patterns? ▪ Spirals ▪ Symmetries (Bilateral or Mirror / Radial or Rotational / Three fold / Four fold / Five fold / Six fold) ▪ Mosaics (Tessellations) ▪ Stripes ▪ Spots ▪ Dendritic 5  What are the types of Patterns? ▪ Scattered ▪ Fractured ▪ Naturalistic Drift ▪ Serpentine / Meander ▪ Foam 6 PATTERNS IN NATURE SPIRALS 8 SPIRALS 9 SPIRALS 10 SYMMETRIES (Bilateral or Mirror) 11 SYMMETRIES (Bilateral or Mirror) 12 SYMMETRIES (Radial or Rotational) 13 SYMMETRIES (Radial or Rotational) 14 SYMMETRIES (Threefold) 15 SYMMETRIES (Fourfold) 16 SYMMETRIES (Fivefold) 17 SYMMETRIES (Fivefold) 18 SYMMETRIES (Sixfold) 19 MOSAICS (Tessellations) 20 MOSAICS (Tessellations) 21 STRIPES 22 STRIPES 23 SPOTS 24 DENDRITIC 25 DENDRITIC 26 DENDRITIC 27 DENDRITIC 28 SCATTERED 29 SCATTERED 30 FRACTURED 31 FRACTURED 32 NATURALISTIC DRIFT 33 NATURALISTIC DRIFT 34 SERPENTINE or MEANDER 35 SERPENTINE or MEANDER 36 FOAM 37 FOAM 38 FOAM 39 NUMBERS IN NATURE  Numbers in Nature Clover Buttercup Insect Octopus 41 Spectacular Patterns Spectacular Patterns 43 Spectacular Patterns 44 Where is MATHEMATICS? We see hints and clues of it in NATURE! 46 “ We live in the Universe full of Patterns – Ian Stewart