Patterns and Numbers in Nature Flashcards
Patterns and numbers in nature are visible _ which can also be seen in the _.
regularities, universe
Patterns and numbers in nature are impossible to model mathematically.
False.
Patterns and numbers in nature serve as signs to the…
rules that govern nature.
Patterns and numbers in nature posses only beauty.
False. Patterns and numbers also posses utility.
Give 3 examples of patterns found in nature.
- Movement of stars
- Cycle of seasons
- Sides of snowflalkes
What are the 3 examples of patterns found in fish?
- Spotted trunkfish
- Spotted pufferfish
- Blue spotted stingray
- Yellow boxfish
- Angel fish
Give 4 examples of patterns in nature.
- Ocean waves
- Sand dunes
- Formation of typhoons
- Ripples
Exhibits the rules that govern the flow of water, sand, and air.
When wind blows steadily in a fixed direction on sand dunes, what pattern is formed?
Transverse dunes.
Looks like ocean waves.
If sand dunes are lightly moist and have no vegetation to bind them together, what pattern is formed?
Parabolic dunes.
The first 10 numbers of the Fibonnaci Sequence are…
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, …
What is the rule behind the Fibonnaci Sequence?
Each number is equal to the sum of the 2 preceding numbers.
What is the formula to find the Nth Fibonnaci number?
FN = FN-1 + FN-2.
What is the formula to find the Nth Fibonnaci number without having to write each individual term?
FN = ⟦(1+√5/2)^N / √5⟧.
“⟦ ⟧” means rounding to the nearest integer.
Binet’s Formula.
Where can you find the Fibonnaci numbers in nature?
- Shell of a snail.
- Flowers (i.e., calla lily, euphorbia, trillium, columbine, etc.)
Each flower has 1, 2, 3, and 4 petals respectively.
In the early 1500’s, the Golden Ration was called the…
Divine Proportion.
In the Divine Proportion, the ratio of the smaller segment to the bigger segment is equal to the ratio of the whole unit to the smaller segment.
False. The ratio of the bigger segment to the smaller segment is equal to the ratio of the whole unit to the bigger segment.
The Golden Ratio is the irrational number…
Φ = 1+√5/2
What is the value of Φ in decimal format?
1.6180339887.
The Golden Ratio is not evident in the Fibonnaci Sequence.
False.
Is the Golden Ratio evident in the Fibonnaci Sequence? Why or why not?
If you take the ratio of 2 consecutive numbers in the sequence their ratio approaches Φ.
Give an example of the Golden Ratio being used in the world.
- Standard credit card measurements
- Screen of a MacBook Air
- Mona Lisa
- Parthenon
- Human body
