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Chord Length of Hexagram given Chord Slice Calculator

Formula Used:

\[ l_c = 3 \times l_{\text{Chord Slice}} \]

m

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1. What is the Chord Length of Hexagram?

The Chord Length of Hexagram is the short diagonal length of regular hexagon from which the Hexagram is constructed using its short diagonals. It represents one of the key geometric properties of a hexagram shape.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_c = 3 \times l_{\text{Chord Slice}} \]

Where:

Explanation: The chord length of a hexagram is exactly three times the chord slice length, as the chord slice represents one third of the short diagonal length of the regular hexagon from which the hexagram is constructed.

3. Importance of Chord Length Calculation

Details: Calculating the chord length is essential for geometric analysis, architectural design, and various applications involving hexagram shapes in mathematics and engineering.

4. Using the Calculator

Tips: Enter the chord slice length in meters. The value must be positive and valid for accurate calculation of the chord length.

5. Frequently Asked Questions (FAQ)

Q1: What is a chord slice in a hexagram?
A: The chord slice length is one third part of the short diagonal length of the regular hexagon from which the hexagram is constructed, or the edge length of the hexagram shape.

Q2: How is a hexagram constructed from a hexagon?
A: A hexagram is formed by extending the short diagonals of a regular hexagon and connecting specific points to create the star-shaped figure.

Q3: What are typical applications of hexagram geometry?
A: Hexagram geometry is used in various fields including architecture, decorative art, religious symbolism, and mathematical pattern analysis.

Q4: Can this formula be used for irregular hexagrams?
A: No, this formula specifically applies to regular hexagrams constructed from regular hexagons where all sides and angles are equal.

Q5: What units should be used for the measurements?
A: While meters are used in this calculator, any consistent unit of length can be used as long as both input and output maintain the same unit.

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