Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals Flowers with 2 petals (very rare) Euphobia Flowers with 2 petals (very rare) Can still be found in Singapore: photo taken outside a HDB flat Flowers with 3 petals (quite rare) Waterplantain Trillium Flowers with 5 petals (very common) Hibiscus Taken in Singapore Bougainvillea: which one is the flower? Pink ‘flower’: 3 bracts or modified leaves; light-yellowish flower in centre has 5 petals; actually there are 3 flowers in centre Columbine: How many petals? 5 petals & 5 sepals (modified petals) Most of the times, sepals look exactly like petals Daffodil: How many petals? 3 petals & 3 sepals (modified petals) Flowers with 8 petals (quite rare) Bloodroot Yellow Moonbeam Coreopsis Daisies with 13 petals (quite rare) Black-eyed Susan Orange Zinnia Daisies with 21 petals (quite rare) Shasta Daisy ‘Petals’ are bracts or modified leaves; 100-200 flowers in centre; Composite Flower Daisies with 34 petals (quite rare) Field Daisy White Daisy Flowers with 34 petals (quite rare) Sunflower ‘Petals’ are bracts or modified leaves; 100-200 flowers in centre; Composite Flower Exceptions Ixora Daylily Exceptions Starflower Passion Flower Exception Type 1 Some flowers follow Lucas Sequence: 2, 1, 3, 4, 7, 11, 18, 29, … Like Fibonacci sequence except first 2 terms are 2 and 1, instead of 1 and 1 Fibonacci: 1, 1, 2, 3, 5, 8, 13, 21, 34, … E.g. 4 petals and 7 petals Flowers with 4 petals Ixora: Taken in Singapore Flowers with 7 petals Starflower Exception Type 2 Doubling of the petals: e.g. from 3 to 6 petals; from 5 to 10 petals Flowers with 6 petals Daylily 3 petals & 3 sepals We just use layman’s term: 6 petals. Why? Or else problem with daisies and sunflower Flowers with 6 petals Iris 3 petals & 3 sepals Orchid: 6 petals Singapore National Flower Vanda Miss Joaquim 2 petals, 3 sepals, 1 lip (modified petal) Orchid: 6 petals Learn more about Singapore National Flower: www.nparks.gov.sg/ plants/van/pla-vanvan.shtml Orchid: 6 petals NTU’s own flower: Dendrobium Nanyang Orchid: How many petals? 2 petals & 3 sepals? Lip not obvious or no lip (hybrid) Flowers with 10 petals Passion Flower Probably 5 petals & 5 sepals Exception Type 3 Mutations and hybrids that have been created artificially also account for exceptions Marsh Marigold: 5 or 6 petals? The 6-petal flower is a mutant 4 or 5 petals? Taken in Singapore The 4-petal flower is a mutant Roses: How many petals? Hybrids: many petals Wild Roses: How many petals? 5 petals Are you sure there is a pattern? Fibonacci: 1, 2, 3, 5, 8, 13, … Lucas: 4, 7, 11 (we haven’t seen 11 petals) Doubling (even nos.): 6, 10, 12, 14, 16, … (we haven’t seen 12, 14, 16, … petals) Petals: 1-8, 10-14 (cover most numbers!) If can find 9 or 15 petals, this is rubbish! So where is the Fibonacci pattern? The Fibonacci pattern comes mainly from daisies: 13, 21, 34, 55 or 89 Botanists may disagree because some ‘petals’ are actually sepals or bracts But we go by what we laymen see. Why? So where is the Fibonacci pattern? E.g. if nature has fused the 3 petals and the 3 sepals of the White Calla Lily into 1 petal, why call it 3 petals? The Internet Search for 9 Petals… Marsh Marigold: “5-9 deep yellow petals” But mostly 5 petals 6-petal is a mutant “5-9 sepals; no petals” Website can be wrong The Internet Search for 9 Petals… Lesser Celandine: “5-9 yellow petals” But mostly 8 petals Website can be wrong or the rest are mutants The Internet Search for 9 Petals… Mayapple: “6-9 petals” But mostly 6 petals Website can be wrong or the rest are mutants The Internet Search for 9 Petals… Royal Ramparts: “9 deep red-purple petals” Japanese Iris Nursery Probably a hybrid The Internet Search for 9 Petals… Áashild Kalleberg: “8-9 petals & 3 sepals” Website says it is a hybrid Some sites on dried flower arrangements Conclusion: Flowers with 9 petals are either mutants or hybrids Websites are not always reliable Websites on Fibonacci Numbers ccins.camosun.bc.ca/~jbritton/fibslide/jbfibslide. htm (contains other patterns as well) library.thinkquest.org/27890/applications5.html How many ridges in a banana? Hint: It is a Fibonacci number ridge