Formula Used:
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The Long Diagonal of Unicursal Hexagram is defined as the longest straight line joining two opposite corners of a Unicursal Hexagram through its vertex. It is a fundamental geometric property of this specific hexagram shape.
The calculator uses the simple formula:
Where:
Explanation: The long diagonal of a unicursal hexagram is exactly four times the length of its defined section, making this calculation straightforward and precise.
Details: Calculating the long diagonal is essential for geometric analysis, architectural design, and mathematical studies involving unicursal hexagrams. It helps in understanding the complete dimensions and proportions of this geometric shape.
Tips: Enter the section length of the long diagonal in meters. The value must be positive and valid for accurate calculation.
Q1: What is a unicursal hexagram?
A: A unicursal hexagram is a six-pointed star that can be drawn in one continuous movement without lifting the pen from the paper.
Q2: Why is the long diagonal exactly 4 times the section?
A: This relationship is derived from the geometric properties and symmetrical construction of the unicursal hexagram, where the long diagonal is divided into four equal segments.
Q3: Can this formula be used for other types of hexagrams?
A: No, this specific formula applies only to unicursal hexagrams due to their unique geometric properties.
Q4: What units should I use for the input?
A: The calculator accepts any consistent unit of measurement, though meters are displayed as the default unit.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact, provided the input value is accurate and the geometric shape is a perfect unicursal hexagram.