The resistance between two opposite corners of the square can be determined by analyzing the overall resistance of the circuit formed by the four wires.

Analysis:

To find the resistance between two opposite corners of the square, we can consider the square as a combination of two resistors in series and one resistor in parallel. Let's break down the analysis step by step:

1. Resistance of a single wire:
Each wire has a resistance of 8 ohms.

2. Resistance of a side of the square:
Since the wires are connected in the shape of a square, the resistance between two adjacent corners can be calculated as the sum of the resistance of two wires connected in series. Therefore, the resistance of a side of the square is 8 + 8 = 16 ohms.

3. Resistance between two opposite corners:
The resistance between two opposite corners can be calculated as the equivalent resistance of two resistors in series and one resistor in parallel. Let's denote the resistance between two opposite corners as R.

- The resistance of a side of the square (16 ohms) is in series with the resistance between two opposite corners (R).
- This series combination is in parallel with the resistance of a side of the square (16 ohms).

4. Equivalent resistance calculation:
To calculate the equivalent resistance, we can use the formula for resistors in parallel:

1/Req = 1/R1 + 1/R2

Where Req is the equivalent resistance and R1, R2 are the resistances in parallel.

Applying this formula to our circuit:

1/Req = 1/16 + 1/R
1/Req = (R + 16) / (16R)

To simplify the equation, we can multiply both sides by 16R:

16 = R + 16

By rearranging the equation, we find:

R = 0 ohms

Conclusion:
The resistance between two opposite corners of the square is 0 ohms. This means that there is no resistance between the two corners and the wires are essentially shorted.