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Double Star Polygon Calculator

Calculations at a double star polygon, an eight-pointed star with points of two different lengths. Long and short points alternate. The base of this star is a regular octagon, on which edges isosceles triangles are attached.
Enter the base length as well as side length or height of each point. Choose the number of decimal places and click Calculate.


Euclid Base length (b): Double star polygon
Side length long point (l1):
Height long point (h1):
Side length short point (l2):
Height short point (h2):
Star diameter (d):
Perimeter (p):
Area (A):
Round to    decimal places.



Formulas:
h = √ l² - b²/4
l = √ h² + b²/4
d = 2 * h1 + b * ( 1 + √2 )
p = 8 * ( l1 + l2 )
A = 2 * b* [ b * ( 1 + √2 ) + ( h1 + h2 ) ]

Lengths, heights, diameter and perimeter have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).



Last updated on 07/10/2025.

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Cite this page: Rechneronline (2025) - Double Star Polygon.
Retrieved on 2026-06-07 from https://rechneronline.de/pi/double-star-polygon.php




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