Long Edge of Hexakis Icosahedron given Midsphere Radius Calculator

✖Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Hexakis Icosahedron [r_m]

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✖Long Edge of Hexakis Icosahedron is the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron.ⓘ Long Edge of Hexakis Icosahedron given Midsphere Radius [l_e(Long)]

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Long Edge of Hexakis Icosahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Edge of Hexakis Icosahedron = (8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5)))
l_e(Long) = (8*r_m)/(5+(3*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

Long Edge of Hexakis Icosahedron - (Measured in Meter) - Long Edge of Hexakis Icosahedron is the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron.
Midsphere Radius of Hexakis Icosahedron - (Measured in Meter) - Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Hexakis Icosahedron: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Long) = (8*r_m)/(5+(3*sqrt(5))) --> (8*15)/(5+(3*sqrt(5)))

Evaluating ... ...

l_e(Long) = 10.2492235949962

STEP 3: Convert Result to Output's Unit

10.2492235949962 Meter --> No Conversion Required

FINAL ANSWER

10.2492235949962 ≈ 10.24922 Meter <-- Long Edge of Hexakis Icosahedron

(Calculation completed in 00.020 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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< Long Edge of Hexakis Icosahedron Calculators

Long Edge of Hexakis Icosahedron given Total Surface Area

LaTeX Go Long Edge of Hexakis Icosahedron = sqrt((44*Total Surface Area of Hexakis Icosahedron)/(15*(sqrt(10*(417+(107*sqrt(5)))))))

Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

LaTeX Go Long Edge of Hexakis Icosahedron = (2/5)*Truncated Edge of Hexakis Icosahedron*(sqrt(15*(5-sqrt(5))))

Long Edge of Hexakis Icosahedron given Medium Edge

LaTeX Go Long Edge of Hexakis Icosahedron = (22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5)))

Long Edge of Hexakis Icosahedron given Short Edge

LaTeX Go Long Edge of Hexakis Icosahedron = (44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5)))

Long Edge of Hexakis Icosahedron given Midsphere Radius Formula

LaTeX Go

Long Edge of Hexakis Icosahedron = (8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5)))
l_e(Long) = (8*r_m)/(5+(3*sqrt(5)))

What is Hexakis Icosahedron?

A Hexakis Icosahedron is a polyhedron with identical, but irregular triangle faces. It has thirty vertices with four edges, twenty vertices with six edges and twelve vertices with ten edges.
It has 120 faces, 180 edges, 62 vertices.

How to Calculate Long Edge of Hexakis Icosahedron given Midsphere Radius?

Long Edge of Hexakis Icosahedron given Midsphere Radius calculator uses Long Edge of Hexakis Icosahedron = (8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5))) to calculate the Long Edge of Hexakis Icosahedron, Long Edge of Hexakis Icosahedron given Midsphere Radius formula is defined as the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron, calculated using midsphere radius of Hexakis Icosahedron. Long Edge of Hexakis Icosahedron is denoted by l_e(Long) symbol.

How to calculate Long Edge of Hexakis Icosahedron given Midsphere Radius using this online calculator? To use this online calculator for Long Edge of Hexakis Icosahedron given Midsphere Radius, enter Midsphere Radius of Hexakis Icosahedron (r_m) and hit the calculate button. Here is how the Long Edge of Hexakis Icosahedron given Midsphere Radius calculation can be explained with given input values -> 10.24922 = (8*15)/(5+(3*sqrt(5))).

FAQ

What is Long Edge of Hexakis Icosahedron given Midsphere Radius?

Long Edge of Hexakis Icosahedron given Midsphere Radius formula is defined as the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron, calculated using midsphere radius of Hexakis Icosahedron and is represented as l_e(Long) = (8*r_m)/(5+(3*sqrt(5))) or Long Edge of Hexakis Icosahedron = (8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5))). Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere.

How to calculate Long Edge of Hexakis Icosahedron given Midsphere Radius?

Long Edge of Hexakis Icosahedron given Midsphere Radius formula is defined as the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron, calculated using midsphere radius of Hexakis Icosahedron is calculated using Long Edge of Hexakis Icosahedron = (8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5))). To calculate Long Edge of Hexakis Icosahedron given Midsphere Radius, you need Midsphere Radius of Hexakis Icosahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Hexakis 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 Long Edge of Hexakis Icosahedron?

In this formula, Long Edge of Hexakis Icosahedron uses Midsphere Radius of Hexakis Icosahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Long Edge of Hexakis Icosahedron = (22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5)))
Long Edge of Hexakis Icosahedron = (44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5)))
Long Edge of Hexakis Icosahedron = (2/5)*Truncated Edge of Hexakis Icosahedron*(sqrt(15*(5-sqrt(5))))

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