Four

Object 'Four' belongs to the 'Numbers' theme.

Connection to Zero:

Four can be written in terms of zero: 4=0^0+0^0+0^0+0^0 (using the fact that anything to the 0th power is 1).

Metrics
Parity Four: even. Zero: even.

Connection to Two:

4=2+2=2*2=2^2. In fact, this is the *only* solution to the set of equations x=y+y=y*y=y^y, making it a very unique relationship between four and two.

Metrics
Parity Four: even. Two: even.

Connection to Three:

Four is the successor of three. The two numbers are relatively prime, so, together, linear combinations of them generate the whole set of integers. More uniquely, 4 and 3 are the first pair of relatively prime numbers (assuming pairs don't count when one of the numbers is 1).

Metrics
Parity Four: even. Three: odd.

Connection to Five:

5 is the successor of 4: 5=4+1. x=4 is the lowest solution to the inequality "5^x is less than x digits long" (that is, 5^4 is less than 4 digits, but 5^x is at least x digits for all x<4).

5 and 4 are part of a Pythagorean triple: 4^2+3^2=5^2. This is especially interesting as this is the first (lowest) Pythagorean triple in the usual ordering.

Metrics
Parity Four: even. Five: odd.

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