Exploring Moduli of Tori via Textures:
Here we view different geometric structures on a torus. We use color to represent the metric distortion — how much the surface area of small neighborhoods differs from the initial torus (R=10, r=3). The color mapping uses coolwarm centered at 1.0. This means if a face has the same area as the baseline, it will appear grey/white. If it’s larger, it turns red; if smaller, it turns blue.
The image projected onto the torus is stretched in some places and compressed in others. The colors on the right torus indicate this distortion.
Min Ratio
1.000
Mean Ratio
1.000
Max Ratio
1.000