Home Back

Edge Length of Polygram Given Spike Height Calculator

Edge Length of Polygram Formula:

\[ l_e = \sqrt{h_{Spike}^2 + \frac{l_{Base}^2}{4}} \]

m
m

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Edge Length of Polygram?

The Edge Length of Polygram is the length of any edge of the Polygram shape, from one end to other end. It is an important geometric measurement in polygram analysis and construction.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_e = \sqrt{h_{Spike}^2 + \frac{l_{Base}^2}{4}} \]

Where:

Explanation: The formula calculates the edge length using the Pythagorean theorem, considering the spike height and base length of the polygram.

3. Importance of Edge Length Calculation

Details: Accurate edge length calculation is crucial for geometric construction, architectural design, and mathematical analysis of polygram shapes and patterns.

4. Using the Calculator

Tips: Enter spike height and base length in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a Polygram?
A: A polygram is a geometric figure consisting of a regular polygon with identical isosceles triangles attached to each side, forming spikes.

Q2: How is spike height measured?
A: Spike height is measured as the perpendicular distance from the base of the isosceles triangle to its apex.

Q3: Can this formula be used for all polygrams?
A: This formula applies specifically to polygrams where the spikes are isosceles triangles attached to a regular polygon base.

Q4: What units should I use?
A: The calculator uses meters, but any consistent unit of length can be used as long as both inputs are in the same unit.

Q5: How accurate is the calculation?
A: The calculation is mathematically precise based on the input values, with results rounded to four decimal places for clarity.

Edge Length of Polygram Given Spike Height Calculator© - All Rights Reserved 2025