SciSimulator

A4 Paper: The $\sqrt{2}$ Ratio Secret

The Geometry of A4 Paper: √2 Silver Ratio

The mathematical beauty behind paper sizes: Self-Similarity and Recursive Splitting.

A0
Active Level

Mathematical Insight

The A-series is designed so that cutting it in half yields two pieces with the same aspect ratio as the original. This is the only ratio with this property.

Aspect Ratio

1.414... : 1

Scale Factor

Area ½ per step

Explorer Controls

Selected Size
Original
A0
1189mm × 841mm
Surface Area
0.9999
Calculated Ratio
1.414
Fun fact: A0 paper is exactly 1 square meter!