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Chord Slice of Hexagram given Hexagonal Edge Length Calculator

Chord Slice of Hexagram Formula:

\[ Chord\ Slice = \frac{Hexagonal\ Edge\ Length}{\sqrt{3}} \]

m

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1. What is Chord Slice Length of Hexagram?

The Chord Slice Length of Hexagram is the one third part of short diagonal length of regular hexagon from which the Hexagram is constructed, or the edge length of the Hexagram shape.

2. How Does the Calculator Work?

The calculator uses the Chord Slice formula:

\[ Chord\ Slice = \frac{Hexagonal\ Edge\ Length}{\sqrt{3}} \]

Where:

Explanation: The formula calculates the chord slice length by dividing the hexagonal edge length by the square root of 3.

3. Importance of Chord Slice Calculation

Details: Accurate chord slice calculation is crucial for geometric constructions, architectural designs, and mathematical analysis involving hexagram shapes and their properties.

4. Using the Calculator

Tips: Enter the hexagonal edge length in meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is a hexagram?
A: A hexagram is a six-pointed star polygon formed by two overlapping equilateral triangles.

Q2: How is chord slice related to hexagonal edge?
A: The chord slice is exactly one-third of the short diagonal of the regular hexagon from which the hexagram is constructed.

Q3: What are practical applications of this calculation?
A: This calculation is used in geometry, architectural design, artistic patterns, and various mathematical applications involving star polygons.

Q4: Why is √3 used in the formula?
A: The square root of 3 appears due to the trigonometric relationships in the 30-60-90 triangle formed by the geometry of the hexagram.

Q5: Can this formula be used for any hexagram?
A: This formula specifically applies to regular hexagrams constructed from regular hexagons using their short diagonals.

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