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Edge Length of Unicursal Hexagram given Long Diagonal Section Calculator

Formula Used:

\[ l_e = 2 \times d'_{Long Diagonal} \]

m

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1. What is the Edge Length of Unicursal Hexagram?

The Edge Length of Unicursal Hexagram is defined as the distance between two consecutive edges of a Unicursal Hexagram. It is a fundamental geometric property of this unique star-shaped polygon.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_e = 2 \times d'_{Long Diagonal} \]

Where:

Explanation: The edge length is simply twice the length of a particular section of the longest diagonal in a Unicursal Hexagram.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for geometric analysis, construction, and design applications involving Unicursal Hexagrams. It helps in determining proportions and scaling of the shape.

4. Using the Calculator

Tips: Enter the section of long diagonal value in 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 typical applications of this calculation?
A: This calculation is used in geometric design, sacred geometry studies, architectural planning, and artistic compositions.

Q4: Are there other ways to calculate the edge length?
A: Yes, depending on what parameters are known, the edge length can also be calculated using other geometric properties of the hexagram.

Q5: What units should be used for input?
A: The calculator uses meters as the default unit, but any consistent unit system can be used as long as all measurements are in the same units.

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