1. What is Long Diagonal of Unicursal Hexagram?

The Long Diagonal of a Unicursal Hexagram is defined as the longest straight line joining two opposite corners of a Unicursal Hexagram through its vertex. It is a key geometric property of this unique six-pointed star shape.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Area \) — Area of the Unicursal Hexagram (m²)

Explanation: This formula calculates the longest diagonal of a unicursal hexagram based on its total area, using the mathematical relationship between these two geometric properties.

3. Importance of Long Diagonal Calculation

Details: Calculating the long diagonal is important for understanding the complete geometry of a unicursal hexagram, determining its overall dimensions, and for various applications in geometric design and mathematical analysis.

4. Using the Calculator

Tips: Enter the area of the unicursal hexagram in square meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is a Unicursal Hexagram?
A: A unicursal hexagram is a six-pointed star that can be drawn in one continuous line without lifting the pen from the paper.

Q2: How is this different from a regular hexagram?
A: Unlike a regular hexagram which consists of two overlapping triangles, a unicursal hexagram is drawn with a single continuous line.

Q3: What are the practical applications of this calculation?
A: This calculation is useful in geometric design, sacred geometry studies, architectural planning, and mathematical research involving star polygons.

Q4: Can this formula be used for any size of unicursal hexagram?
A: Yes, the formula applies to unicursal hexagrams of any size, as long as the shape maintains its proper geometric proportions.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the geometric properties of a perfect unicursal hexagram.