Number Theory
Where is one place in nature where we can see the Golden Ratio?
Nautilus shell for example
How big is the Millenium prize?
$1,000,000
What is a rhythmic palindrome?
A piece of music that is the same forward and backward
What is the term for the Japanese art of paper folding?
Origami
What is the term for the packaging used to store bottles at a grocery store?
sliceform
Fill in the next five numbers of the Fibonacci Sequence - 1,1,2,3,5,...
8,13,21,34,55
Of the seven problems eligible for the Millenium prize, how many have been solved?
Just one!
How does the Fibonacci sequence show up on piano keyboard?
What is the Dutch artist M.C. Escher known for?
Optical Illusions
What building in Colorado Springs is an architectural marvel?
Air Force Academy Chapel
What do we call two consecutive odd prime numbers?
Twin primes
Who ultimately proved Fermat's last theorem using P-adic numbers?
Andrew Wiles
What's the term given to the series of dance steps represented by the footprints?
Frieze Pattern
A saddle is an example of which geometric shape?
Hyperbolic Parabaloid or Hypar
How are conic sections (circles, parabolas, ellipses and hyperbolas) formed?
By slicing a cone in different ways, hence the name "conic" section.
What is the value of the Golden Ratio to three decimal places?
1.618
What is the name of the theorem that uses the equation A = i + b/2 - 1 where A is the area, i is the interior points and b is the border points?
Pick's Theorem
Identify three of the four types of symmetry
Rotational, Translational, Reflective, Glide
What is the name of the three by three grid created by the Chinese mathematician Lo Shu?
Magic Square
What famous painting did the Japanese artist Katsushika Hokusai create?
The Great Wave (or The Wave)
Two very large prime numbers
In the Hilbert Hotel, if an infinite number of guests show up, how does the hotel accommodate them?
Each guest moves to the room with a room number that is double their current room number (e.g. Room 1 moves to Room 2, Room 2 moves to Room 4 and so on)
Discusses how math is currently taught versus how it could be taught.
What is the name of the Chinese game that is markedly more complex than Chess?
Go
In the world of fractals, what is the name of the triangular fractal we drew?
Sierpinski Triangle