<ul><li>A post revisiting the concept of golden powers, which are nearly integers, has been published.</li><li>The post explains why golden powers are close to integers using equations involving the golden ratio and the smaller root of x² − x − 1 = 0.</li><li>The equations reveal that the integers referred to in relation to golden powers are actually Fibonacci numbers.</li><li>The approximation for φn as an integer is nearly the sum of the (n + 1)st and (n − 1)st Fibonacci numbers, with the error decreasing exponentially with alternating signs.</li></ul>

Golden powers revisited

Discover more