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Edge Length of Octagon in Star of Lakshmi Formula:
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The Edge Length of Octagon in Star of Lakshmi is the measurement of the length of any edge of the octagon in Star of Lakshmi. It is derived from the edge length of the square in the same geometric configuration.
The calculator uses the formula:
Where:
Explanation: The formula calculates the octagon edge length based on the mathematical relationship between the square and octagon in the Star of Lakshmi geometric pattern.
Details: Accurate calculation of the octagon edge length is crucial for geometric construction, architectural design, and precise measurements in the Star of Lakshmi pattern, which has cultural and mathematical significance.
Tips: Enter the edge length of the square in meters. The value must be positive and valid for accurate calculation of the octagon edge length.
Q1: What is the Star of Lakshmi?
A: The Star of Lakshmi is a special octagram (eight-pointed star) that is important in Hinduism, representing the eight forms of the goddess Lakshmi.
Q2: Why is the formula le(Octagon) = (√2-1)*le(Square) used?
A: This formula derives from the geometric relationship between the square and the octagon inscribed within the Star of Lakshmi configuration.
Q3: What are the practical applications of this calculation?
A: This calculation is used in geometric design, religious artwork, architectural planning, and mathematical studies of sacred geometry.
Q4: Can this formula be used for any square and octagon?
A: This specific formula applies to the particular geometric configuration found in the Star of Lakshmi pattern.
Q5: What units should be used for the input?
A: The calculator uses meters as the default unit, but the formula works with any consistent unit of measurement.