Digit Method:
Baccarat is a card game found in casinos in which the numbered cards count as face value(e.g. an ace counts as 1, 2 as 2, 3 as 3, etc.) and 10,J,Q,K all count as 0. Digits in the 10's, 100's, 1000's, etc. place are all divisible by 10, and count as 0. So all you have to do is prove that the digits 0 to 9 are perfect, thereby proving that all numbers are perfect.
Similarly, all numbers are made up of the digits 0 to 9, so you just have to prove that the digits 0 to 9 are perfect to prove that all numbers are perfect.
Proof:
The digits 0,1,4, and 9 are all perfect squares, so they are perfect.
The digits 2,3,5, and 7 are all prime numbers, so they are perfect.
That leaves the digits 6 and 8.
8 is 2^3, so it is a perfect cube, and therefore perfect.
6 is the number of sides on a cube, including a die in a pair of dice.
6 is also the number of sides in a hexagon, and bees' honeycombs are made of hexagons because it requires the least amount of material to create a lattice of cells within a given volume.
Therefore, 6 is a perfect digit.
Therefore, the digits 0 to 9 are all perfect.
Therefore, all numbers are perfect.
This completes the proof.
