Euler found four whole numbers such that the sum of any two of the numbers is a perfect square...
The diagram illustrates the formula: 1 + 3 + 5 + ... + (2n - 1) = n² Use the diagram to show that any odd number is the difference of two squares.
How much peel does an apple have?
What is the largest cube that can pass under the ribbon ?
And where along the ribbon is the best place for the cube to
pass under, or doesn't the position matter ?