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Flowers with 1 petal (very rare)
White Calla Lily Lilies have 6 petals; Fusing of petals
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Flowers with 2 petals (very rare)
Euphobia
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Flowers with 2 petals (very rare)
Can still be found in Singapore: photo taken outside a HDB flat
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Flowers with 3 petals (quite rare)
Waterplantain Trillium
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Flowers with 5 petals (very common)
Hibiscus Taken in Singapore
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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
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Columbine: How many petals?
5 petals & 5 sepals (modified petals) Most of the times, sepals look exactly like petals
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Daffodil: How many petals?
3 petals & 3 sepals (modified petals)
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Flowers with 8 petals (quite rare)
Yellow Moonbeam Coreopsis Bloodroot
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Daisies with 13 petals (quite rare)
Black-eyed Susan Orange Zinnia
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Daisies with 21 petals (quite rare)
Shasta Daisy ‘Petals’ are bracts or modified leaves; flowers in centre; Composite Flower
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Daisies with 34 petals (quite rare)
Field Daisy White Daisy
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Flowers with 34 petals (quite rare)
Sunflower ‘Petals’ are bracts or modified leaves; flowers in centre; Composite Flower
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Exceptions Ixora Daylily
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Exceptions Starflower Passion Flower
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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
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Flowers with 4 petals Ixora: Taken in Singapore
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Flowers with 7 petals Starflower
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Exception Type 2 Doubling of the petals: e.g. from 3 to 6 petals; from 5 to 10 petals
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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
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Flowers with 6 petals Iris 3 petals & 3 sepals
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Orchid: 6 petals Singapore National Flower Vanda Miss Joaquim
2 petals, 3 sepals, 1 lip (modified petal)
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Orchid: 6 petals Learn more about Singapore National Flower:
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Orchid: 6 petals NTU’s own flower: Dendrobium Nanyang
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Orchid: How many petals?
2 petals & 3 sepals? Lip not obvious or no lip (hybrid)
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Flowers with 10 petals Passion Flower Probably 5 petals & 5 sepals
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Exception Type 3 Mutations and hybrids that have been created artificially also account for exceptions
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Marsh Marigold: 5 or 6 petals?
The 6-petal flower is a mutant
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4 or 5 petals? Taken in Singapore The 4-petal flower is a mutant
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Roses: How many petals? Hybrids: many petals
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Wild Roses: How many petals?
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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, (cover most numbers!) If can find 9 or 15 petals, this is rubbish!
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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?
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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?
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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
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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
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The Internet Search for 9 Petals…
Mayapple: “6-9 petals” But mostly 6 petals Website can be wrong or the rest are mutants
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The Internet Search for 9 Petals…
Royal Ramparts: “9 deep red-purple petals” Japanese Iris Nursery Probably a hybrid
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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
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Websites on Fibonacci Numbers
ccins.camosun.bc.ca/~jbritton/fibslide/jbfibslide.htm (contains other patterns as well) library.thinkquest.org/27890/applications5.html
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How many ridges in a banana?
Hint: It is a Fibonacci number ridge
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