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The Hexagonal Edge Length of Hexagram is the edge length of regular hexagon from which the Hexagram is constructed using the short diagonals. It represents the fundamental measurement used in constructing geometric hexagram patterns.
The calculator uses the formula:
Where:
Explanation: The formula derives from the geometric relationship between the chord length (short diagonal) and the edge length of a regular hexagon in hexagram construction.
Details: Accurate calculation of hexagonal edge length is crucial for geometric construction, architectural design, and mathematical modeling involving hexagram patterns. It ensures proper proportions and symmetry in geometric designs.
Tips: Enter the chord length of hexagram in meters. The value must be positive and greater than zero. The calculator will compute the corresponding hexagonal edge length.
Q1: What is the relationship between chord length and hexagonal edge length?
A: The hexagonal edge length is equal to the chord length divided by the square root of 3, based on the geometric properties of regular hexagons and hexagrams.
Q2: Can this formula be used for any hexagram?
A: This formula applies specifically to hexagrams constructed from regular hexagons using their short diagonals, maintaining the precise geometric relationships.
Q3: What are practical applications of this calculation?
A: This calculation is used in geometric design, architecture, decorative patterns, mathematical modeling, and various engineering applications involving hexagonal structures.
Q4: How accurate is this calculation?
A: The calculation is mathematically exact when using precise values. The calculator provides results with high precision (6 decimal places) for practical applications.
Q5: Can I use different units of measurement?
A: While the calculator uses meters, you can use any consistent unit of length as long as both input and output use the same unit system.