Short Ridge Length of Great Icosahedron given Circumsphere Radius Calculator

✖Circumsphere Radius of Great Icosahedron is the radius of the sphere that contains the Great Icosahedron in such a way that all the peak vertices are lying on the sphere.ⓘ Circumsphere Radius of Great Icosahedron [r_c]

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✖Short Ridge Length of Great Icosahedron is defined as the maximum vertical distance between the finished bottom level and the finished top height directly above of Great Icosahedron.ⓘ Short Ridge Length of Great Icosahedron given Circumsphere Radius [l_Ridge(Short)]

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Short Ridge Length of Great Icosahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Ridge Length of Great Icosahedron = sqrt(10)/5*(4*Circumsphere Radius of Great Icosahedron)/(sqrt(50+(22*sqrt(5))))
l_Ridge(Short) = sqrt(10)/5*(4*r_c)/(sqrt(50+(22*sqrt(5))))
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Short Ridge Length of Great Icosahedron - (Measured in Meter) - Short Ridge Length of Great Icosahedron is defined as the maximum vertical distance between the finished bottom level and the finished top height directly above of Great Icosahedron.
Circumsphere Radius of Great Icosahedron - (Measured in Meter) - Circumsphere Radius of Great Icosahedron is the radius of the sphere that contains the Great Icosahedron in such a way that all the peak vertices are lying on the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Great Icosahedron: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Ridge(Short) = sqrt(10)/5*(4*r_c)/(sqrt(50+(22*sqrt(5)))) --> sqrt(10)/5*(4*25)/(sqrt(50+(22*sqrt(5))))

Evaluating ... ...

l_Ridge(Short) = 6.35021454363798

STEP 3: Convert Result to Output's Unit

6.35021454363798 Meter --> No Conversion Required

FINAL ANSWER

6.35021454363798 ≈ 6.350215 Meter <-- Short Ridge Length of Great Icosahedron

(Calculation completed in 00.007 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Short Ridge Length of Great Icosahedron Calculators

Short Ridge Length of Great Icosahedron given Long Ridge Length

LaTeX Go Short Ridge Length of Great Icosahedron = sqrt(10)/5*(10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5))))

Short Ridge Length of Great Icosahedron given Circumsphere Radius

LaTeX Go Short Ridge Length of Great Icosahedron = sqrt(10)/5*(4*Circumsphere Radius of Great Icosahedron)/(sqrt(50+(22*sqrt(5))))

Short Ridge Length of Great Icosahedron given Mid Ridge Length

LaTeX Go Short Ridge Length of Great Icosahedron = sqrt(10)/5*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5))

Short Ridge Length of Great Icosahedron

LaTeX Go Short Ridge Length of Great Icosahedron = sqrt(10)/5*Edge Length of Great Icosahedron

Short Ridge Length of Great Icosahedron given Circumsphere Radius Formula

LaTeX Go

Short Ridge Length of Great Icosahedron = sqrt(10)/5*(4*Circumsphere Radius of Great Icosahedron)/(sqrt(50+(22*sqrt(5))))
l_Ridge(Short) = sqrt(10)/5*(4*r_c)/(sqrt(50+(22*sqrt(5))))

What is Great Icosahedron?

The Great Icosahedron can be constructed from an icosahedron with unit edge lengths by taking the 20 sets of vertices that are mutually spaced by a distance phi, the golden ratio. The solid therefore consists of 20 equilateral triangles. The symmetry of their arrangement is such that the resulting solid contains 12 pentagrams.

How to Calculate Short Ridge Length of Great Icosahedron given Circumsphere Radius?

Short Ridge Length of Great Icosahedron given Circumsphere Radius calculator uses Short Ridge Length of Great Icosahedron = sqrt(10)/5*(4*Circumsphere Radius of Great Icosahedron)/(sqrt(50+(22*sqrt(5)))) to calculate the Short Ridge Length of Great Icosahedron, Short Ridge Length of Great Icosahedron given Circumsphere Radius formula is defined as the maximum vertical distance between the finished bottom level and the finished top height directly above of Great Icosahedron, calculated using circumshpere radius. Short Ridge Length of Great Icosahedron is denoted by l_Ridge(Short) symbol.

How to calculate Short Ridge Length of Great Icosahedron given Circumsphere Radius using this online calculator? To use this online calculator for Short Ridge Length of Great Icosahedron given Circumsphere Radius, enter Circumsphere Radius of Great Icosahedron (r_c) and hit the calculate button. Here is how the Short Ridge Length of Great Icosahedron given Circumsphere Radius calculation can be explained with given input values -> 6.350215 = sqrt(10)/5*(4*25)/(sqrt(50+(22*sqrt(5)))).

FAQ

What is Short Ridge Length of Great Icosahedron given Circumsphere Radius?

Short Ridge Length of Great Icosahedron given Circumsphere Radius formula is defined as the maximum vertical distance between the finished bottom level and the finished top height directly above of Great Icosahedron, calculated using circumshpere radius and is represented as l_Ridge(Short) = sqrt(10)/5*(4*r_c)/(sqrt(50+(22*sqrt(5)))) or Short Ridge Length of Great Icosahedron = sqrt(10)/5*(4*Circumsphere Radius of Great Icosahedron)/(sqrt(50+(22*sqrt(5)))). Circumsphere Radius of Great Icosahedron is the radius of the sphere that contains the Great Icosahedron in such a way that all the peak vertices are lying on the sphere.

How to calculate Short Ridge Length of Great Icosahedron given Circumsphere Radius?

Short Ridge Length of Great Icosahedron given Circumsphere Radius formula is defined as the maximum vertical distance between the finished bottom level and the finished top height directly above of Great Icosahedron, calculated using circumshpere radius is calculated using Short Ridge Length of Great Icosahedron = sqrt(10)/5*(4*Circumsphere Radius of Great Icosahedron)/(sqrt(50+(22*sqrt(5)))). To calculate Short Ridge Length of Great Icosahedron given Circumsphere Radius, you need Circumsphere Radius of Great Icosahedron (r_c). With our tool, you need to enter the respective value for Circumsphere Radius of Great Icosahedron 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 Short Ridge Length of Great Icosahedron?

In this formula, Short Ridge Length of Great Icosahedron uses Circumsphere Radius of Great Icosahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Short Ridge Length of Great Icosahedron = sqrt(10)/5*Edge Length of Great Icosahedron
Short Ridge Length of Great Icosahedron = sqrt(10)/5*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5))
Short Ridge Length of Great Icosahedron = sqrt(10)/5*(10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5))))

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