That constant is the limiting ratio of consecutive Pell numbers, while this constant is equal to the limiting ratio of consecutive (*) Fibonacci numbers.
This constant is the length of a diagonal of a regular pentagon with side length 1, and a similarly named constant is equal to 1 plus the square root of 2. That constant is the limiting ratio of consecutive Pell numbers, while this constant is equal to the limiting ratio of consecutive (*) Fibonacci numbers. This constant can be expressed as an infinite square root with only 1's, and its continued fraction also consists of only 1's. This is the only positive number which is equal to the sum of 1 and its reciprocal, and the square of this number is equal to this number plus one. For ten points, name this constant which is frequently used in architecture and art, equal to 1 plus the square root of 5 over 2, or 1.618.
This constant is the length of a diagonal of a regular pentagon with side length 1, and a similarly named constant is equal to 1 plus the square root of 2.
golden ratio [accept phi, accept 1 plus the square root of 5 over 2 before mention] &lt;MS&gt;