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Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

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Page 1: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Flowers with 1 petal (very rare)

White Calla Lily

Lilies have 6 petals; Fusing of petals

Page 2: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Flowers with 2 petals (very rare)Euphobia

Page 3: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Flowers with 2 petals (very rare)Can still be found in Singapore: photo taken outside a HDB flat

Page 4: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Flowers with 3 petals (quite rare)

Waterplantain Trillium

Page 5: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Flowers with 5 petals (very common)

Taken in SingaporeHibiscus

Page 6: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

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

Page 7: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Columbine: How many petals?5 petals & 5 sepals (modified petals)

Most of the times, sepals look exactly like petals

Page 8: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Daffodil: How many petals?3 petals & 3 sepals (modified petals)

Page 9: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Flowers with 8 petals (quite rare)

Bloodroot Yellow Moonbeam Coreopsis

Page 10: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Daisies with 13 petals (quite rare)

Black-eyed Susan Orange Zinnia

Page 11: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Daisies with 21 petals (quite rare)Shasta Daisy‘Petals’ are bracts or modified leaves;100-200 flowers in centre;Composite Flower

Page 12: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Daisies with 34 petals (quite rare)

Field Daisy White Daisy

Page 13: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Flowers with 34 petals (quite rare)

Sunflower

‘Petals’ are bracts or modified leaves;

100-200 flowers in centre;

Composite Flower

Page 14: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Exceptions

Ixora Daylily

Page 15: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Exceptions

Starflower Passion Flower

Page 16: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

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

Page 17: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Flowers with 4 petalsIxora: Taken in Singapore

Page 18: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Flowers with 7 petals

Starflower

Page 19: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Exception Type 2 Doubling of the petals: e.g. from 3 to 6

petals; from 5 to 10 petals

Page 20: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Flowers with 6 petalsDaylily3 petals & 3 sepalsWe just use layman’s term: 6 petals. Why?

Or else problem with daisies and sunflower

Page 21: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Flowers with 6 petals

Iris3 petals & 3 sepals

Page 22: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Orchid: 6 petals

Vanda Miss JoaquimSingapore National Flower

2 petals, 3 sepals, 1 lip (modified petal)

Page 23: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

www.nparks.gov.sg/plants/van/pla-van-van.shtml

Orchid: 6 petalsLearn more about Singapore National Flower:

Page 24: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Orchid: 6 petals

NTU’s own flower:Dendrobium Nanyang

Page 25: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Orchid: How many petals?2 petals & 3 sepals?

Lip not obvious or no lip (hybrid)

Page 26: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Flowers with 10 petalsPassion Flower

Probably 5 petals & 5 sepals

Page 27: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Exception Type 3 Mutations and hybrids that have been

created artificially also account for exceptions

Page 28: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Marsh Marigold: 5 or 6 petals?The 6-petal flower is a mutant

Page 29: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

4 or 5 petals?Taken in Singapore

The 4-petal flower is a mutant

Page 30: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Roses: How many petals?

Hybrids: many petals

Page 31: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Wild Roses: How many petals?5 petals

Page 32: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of 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!

Page 33: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

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?

Page 34: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

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?

Page 35: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of 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

Page 36: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

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

Page 37: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

The Internet Search for 9 Petals… Mayapple: “6-9 petals” But mostly 6 petals Website can be wrong

or the rest are mutants

Page 38: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

The Internet Search for 9 Petals… Royal Ramparts: “9

deep red-purple petals” Japanese Iris Nursery Probably a hybrid

Page 39: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

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

Page 40: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

Websites on Fibonacci Numbers ccins.camosun.bc.ca/~jbritton/fibslide/jbfibslide.

htm (contains other patterns as well)

library.thinkquest.org/27890/applications5.html

Page 41: Flowers with 1 petal (very rare) White Calla Lily Lilies have 6 petals; Fusing of petals

How many ridges in a banana? Hint: It is a Fibonacci

numberridge