Fibonacci
finish the following set of numbers 0, 1, 1, 2, 3, 5, 8,_,_,_,_
8, 13, 21, 34,
Define - Prime Number
Something that is only divisible by itself and 1
what is a fractal?
Fractals are designs that repeat the same distinct shape at all different scales of magnification.
A street that's 30 yards long has a chestnut tree every 6 yards on both sides- how many chestnut trees on the entire street
twelve
What's the Pythagorean Theorem? (formula)
a^2 +b^2 = c^2
The Fibonacci sequence is named after...
The Fibonacci sequence is named after Italian mathematician Leonardo of Pisa, known as Fibonacci.
List the prime numbers between 1-10
1, 2, 3, 5, 7
what have we used to create fractals?
templates
Yesterday afternoon I went to visit my friend taylor the painter-while I watched him paint I said" No wonder it takes so long for you to finish since I have been here you have entered the studio 12 times- how many times did Albert leave the room?
11 times
What is the longest side of the triangle?
hypotenuse
When we make squares with widths from Fibonacci value, we get a nice _______________
spiral!!
List the prime numbers between 41-50
41, 43, 47
what does it mean if a fractal looks the same at any magnification level
this means the fractal has self-similarity
The butcher, his daughter, the fisherman and his wife won the lottery and divided the prize equally into three- how can this be.
the fisherman wife is the butcher's daughter
What type of triangle can you use the theorem on?
right triangles
what is the recurrence relation formula?
fn= fn-1+fn-2
what is a twin prime?
a prime number that is either 2 less or 2 more than another prime number
what is the latin origin of the word fractal?
fractus
What is the sum of numbers from 1 to 100?
The trick here is that you have 50 pairs which each sum to 101 (e.g. 1+100, 2+99, 3+98, etc.). So, 50 times 101 = 5050.
Find the missing side length (c)?
a = 9, b =40
c = 41
when did fibonacci write his book? what was it called?
in 1202 he wrote his book in Liber abaci
how many prime numbers are there?
there are an infinite number of prime numbers
who is Benoit Mandelbrot?
french mathematician who coined the term fractal in 1975
What is the angle between the hour-hand and minute-hand of a clock at 3:15?
At quarter past the hour, the minute-hand is exactly at 3:00 but the hour-hand has moved 1/4 of the way between 3:00 and 4:00. Therefore 1/4 times 1/12 = 1/48 of the clock. With the clock having 360 degrees, 360/48 = 7.5 degrees.
Do these three side lengths create a right?
6, 17, 19
no