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Edge length of Great Icosahedron given ridge length 1 Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = (2*Ridge Length 1)/(1+sqrt(5))
Sa = (2*L1_Ridge)/(1+sqrt(5))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Ridge Length 1 - Ridge Length 1 is length of an elevated body part or structure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Ridge Length 1: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = (2*L1_Ridge)/(1+sqrt(5)) --> (2*7)/(1+sqrt(5))
Evaluating ... ...
Sa = 4.32623792124926
STEP 3: Convert Result to Output's Unit
4.32623792124926 Meter --> No Conversion Required
FINAL ANSWER
4.32623792124926 Meter <-- Side A
(Calculation completed in 00.000 seconds)

7 Edge length of Great Icosahedron Calculators

Edge length of Great Icosahedron given surface to volume ratio
side_a = (3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*Surface to Volume Ratio) Go
Edge length of Great Icosahedron given surface area
side_a = sqrt(Surface Area/(3*sqrt(3)*(5+4*sqrt(5)))) Go
Edge length of Great Icosahedron given ridge length 2
side_a = (10*Ridge Length 2)/(sqrt(2)*(5+3*sqrt(5))) Go
Edge length of Great Icosahedron given circumradius
side_a = (4*Circumradius)/(sqrt(50+22*sqrt(5))) Go
Edge length of Great Icosahedron given volume
side_a = ((4*Volume)/(25+9*sqrt(5)))^(1/3) Go
Edge length of Great Icosahedron given ridge length 1
side_a = (2*Ridge Length 1)/(1+sqrt(5)) Go
Edge length of Great Icosahedron given ridge length 3
side_a = (5*Ridge Length 3)/sqrt(10) Go

Edge length of Great Icosahedron given ridge length 1 Formula

side_a = (2*Ridge Length 1)/(1+sqrt(5))
Sa = (2*L1_Ridge)/(1+sqrt(5))

What is Great Icosahedron?

In geometry, the great icosahedron is one of four Kepler–Poinsot polyhedra, with Schläfli symbol {3, ​⁵⁄₂} and Coxeter–Dynkin diagram of. It is composed of 20 intersecting triangular faces, having five triangles meeting at each vertex in a pentagrammic sequence.

How to Calculate Edge length of Great Icosahedron given ridge length 1?

Edge length of Great Icosahedron given ridge length 1 calculator uses side_a = (2*Ridge Length 1)/(1+sqrt(5)) to calculate the Side A, Edge length of Great Icosahedron given ridge length 1 formula is defined as a straight line connecting two vertices of Great Icosahedron. Side A and is denoted by Sa symbol.

How to calculate Edge length of Great Icosahedron given ridge length 1 using this online calculator? To use this online calculator for Edge length of Great Icosahedron given ridge length 1, enter Ridge Length 1 (L1_Ridge) and hit the calculate button. Here is how the Edge length of Great Icosahedron given ridge length 1 calculation can be explained with given input values -> 4.326238 = (2*7)/(1+sqrt(5)).

FAQ

What is Edge length of Great Icosahedron given ridge length 1?
Edge length of Great Icosahedron given ridge length 1 formula is defined as a straight line connecting two vertices of Great Icosahedron and is represented as Sa = (2*L1_Ridge)/(1+sqrt(5)) or side_a = (2*Ridge Length 1)/(1+sqrt(5)). Ridge Length 1 is length of an elevated body part or structure.
How to calculate Edge length of Great Icosahedron given ridge length 1?
Edge length of Great Icosahedron given ridge length 1 formula is defined as a straight line connecting two vertices of Great Icosahedron is calculated using side_a = (2*Ridge Length 1)/(1+sqrt(5)). To calculate Edge length of Great Icosahedron given ridge length 1, you need Ridge Length 1 (L1_Ridge). With our tool, you need to enter the respective value for Ridge Length 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Side A?
In this formula, Side A uses Ridge Length 1. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • side_a = (2*Ridge Length 1)/(1+sqrt(5))
  • side_a = (10*Ridge Length 2)/(sqrt(2)*(5+3*sqrt(5)))
  • side_a = (5*Ridge Length 3)/sqrt(10)
  • side_a = (4*Circumradius)/(sqrt(50+22*sqrt(5)))
  • side_a = sqrt(Surface Area/(3*sqrt(3)*(5+4*sqrt(5))))
  • side_a = ((4*Volume)/(25+9*sqrt(5)))^(1/3)
  • side_a = (3*sqrt(3)*(5+4*sqrt(5)))/((1/4)*(25+9*sqrt(5))*Surface to Volume Ratio)
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