# 4 gon 0.8906

## Basic Geometry

The 4 edge lengths are:
• e1 : $- \frac{\sqrt{6}}{3} + \frac{\sqrt{2}}{2} + 1$ ≈ 0.891
• e2 : $- \frac{\sqrt{6}}{3} + \frac{\sqrt{2}}{2} + 1$ ≈ 0.891
• e3 : $- \frac{\sqrt{6}}{3} + \frac{\sqrt{2}}{2} + 1$ ≈ 0.891
• e4 : $- \frac{\sqrt{6}}{3} + \frac{\sqrt{2}}{2} + 1$ ≈ 0.891
The 4 angles are:
• α1 : $\frac{\pi}{2}$ ≈ 90.0000°
• α2 : $\frac{\pi}{2}$ ≈ 90.0000°
• α3 : $\frac{\pi}{2}$ ≈ 90.0000°
• α4 : $\frac{\pi}{2}$ ≈ 90.0000°

## Further Properties

This fillygon is a regular n-gon.

This fillygon is a rhombus with short (d1) and long (d2) diagonals:

• d1 : $\sqrt{2} \left(- \frac{\sqrt{6}}{3} + \frac{\sqrt{2}}{2} + 1\right)$ ≈ 1.260
• d2 : $\sqrt{2} \left(- \frac{\sqrt{6}}{3} + \frac{\sqrt{2}}{2} + 1\right)$ ≈ 1.260
and diagonal ratio:
• d1 / d2 : $1$ ≈ 1.000

Dihedral angles:

• Minimal concave angle: 180.0000°
• Minimal convex angle: 90.0000°

Reversed edges: None

## 3D View

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## Model Files

Available gap values:

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