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Mathematics in Our World: Patterns in Nature

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Mathematics in Our World: Patterns in Nature

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Questions and Answers

What problem did Fibonacci investigate in the year 1202?

The lifespan of rabbits in the wild

The breeding speed of rabbits in ideal circumstances (correct)

The nesting habits of rabbits

The eating habits of rabbits

Which symmetry type is exhibited by snowflakes and butterflies?

Reflectional symmetry

Rotational symmetry

Bilateral symmetry (correct)

Translational symmetry

What is the formula for generating Fibonacci numbers?

$F_{n} = F_{n-1} - F_{n-2}$

$F_{n} = F_{n-1} / F_{n-2}$

$F_{n} = F_{n-1} \times F_{n-2}$

$F_{n} = F_{n-1} + F_{n-2}$ (correct)

Which sequence is a part of the Fibonacci series?

1, 1, 2, 3, 5, 8, 13 Signup and view all the answers

What is the name of the spiral that is related to the Fibonacci sequence?

Golden Spiral Signup and view all the answers

In the Fibonacci sequence, what is the sum of the two preceding terms to find the next term?

$F_{n} = F_{n-1} + F_{n-2}$ Signup and view all the answers

What characteristic do Tiger's stripes and Hyena's spots have in common?

Distinct patterns for camouflage Signup and view all the answers

What is the nature of patterns according to Galileo Galilei?

'Nature is written in mathematical language,' according to Galileo Galilei. Signup and view all the answers

'How many pairs will there be in one year?' was a puzzle posed by Fibonacci based on what scenario?

A pair of rabbits breeding continuously with no lifespan limit Signup and view all the answers

What term refers to an object or shape that remains unchanged after being rotated, flipped, or scaled?

Bilateral symmetry Signup and view all the answers

Which type of symmetry allows a shape to be divided into parts of equal shape and size?

Fivefold symmetry Signup and view all the answers

Which term describes infinitely complex patterns that are self-similar across different scales?

Rotational symmetry Signup and view all the answers

A shape that winds round and round, with each curve above or outside the previous one, is characteristic of which natural pattern?

Spirals Signup and view all the answers

What term is used to describe regular, repeated, or recurring forms or designs?

Fourfold symmetry Signup and view all the answers