Truncated Icosidodecahedron 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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✖Truncated Edge of Hexakis Icosahedron is the length of the edges of a Hexakis Icosahedron that is created by truncating the vertices of an Icosidodecahedron.ⓘ Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Midsphere Radius [l_{e(Truncated Icosidodecahedron)}]

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Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5))))
l_{e(Truncated Icosidodecahedron)} = (5/(2*(sqrt(15*(5-sqrt(5))))))*((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

Truncated Edge of Hexakis Icosahedron - (Measured in Meter) - Truncated Edge of Hexakis Icosahedron is the length of the edges of a Hexakis Icosahedron that is created by truncating the vertices of an Icosidodecahedron.
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(Truncated Icosidodecahedron)} = (5/(2*(sqrt(15*(5-sqrt(5))))))*((8*r_m)/(5+(3*sqrt(5)))) --> (5/(2*(sqrt(15*(5-sqrt(5))))))*((8*15)/(5+(3*sqrt(5))))

Evaluating ... ...

l_{e(Truncated Icosidodecahedron)} = 3.97943731575365

STEP 3: Convert Result to Output's Unit

3.97943731575365 Meter --> No Conversion Required

FINAL ANSWER

3.97943731575365 ≈ 3.979437 Meter <-- Truncated Edge of Hexakis Icosahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Vellore Institute of Technology (VIT), Bhopal

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< Truncated Icosidodecahedron Edge of Hexakis Icosahedron Calculators

Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Total Surface Area

LaTeX Go Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*(sqrt((44*Total Surface Area of Hexakis Icosahedron)/(15*(sqrt(10*(417+(107*sqrt(5))))))))

Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Medium Edge

LaTeX Go Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))

Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Short Edge

LaTeX Go Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))

Truncated Icosidodecahedron Edge of Hexakis Icosahedron

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

Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Midsphere Radius Formula

LaTeX Go

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 Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Midsphere Radius?

Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Midsphere Radius calculator uses Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5)))) to calculate the Truncated Edge of Hexakis Icosahedron, Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Midsphere Radius formula is defined as the length of the edges of a polyhedron that is created by truncating the vertices of an Icosidodecahedron, calculated using midsphere radius of Hexakis Icosahedron. Truncated Edge of Hexakis Icosahedron is denoted by l_{e(Truncated Icosidodecahedron)} symbol.

How to calculate Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Midsphere Radius using this online calculator? To use this online calculator for Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Midsphere Radius, enter Midsphere Radius of Hexakis Icosahedron (r_m) and hit the calculate button. Here is how the Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Midsphere Radius calculation can be explained with given input values -> 3.979437 = (5/(2*(sqrt(15*(5-sqrt(5))))))*((8*15)/(5+(3*sqrt(5)))).

FAQ

What is Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Midsphere Radius?

Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Midsphere Radius formula is defined as the length of the edges of a polyhedron that is created by truncating the vertices of an Icosidodecahedron, calculated using midsphere radius of Hexakis Icosahedron and is represented as l_{e(Truncated Icosidodecahedron)} = (5/(2*(sqrt(15*(5-sqrt(5))))))*((8*r_m)/(5+(3*sqrt(5)))) or Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((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 Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Midsphere Radius?

Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Midsphere Radius formula is defined as the length of the edges of a polyhedron that is created by truncating the vertices of an Icosidodecahedron, calculated using midsphere radius of Hexakis Icosahedron is calculated using Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5)))). To calculate Truncated Icosidodecahedron 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 Truncated Edge of Hexakis Icosahedron?

In this formula, Truncated 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 -

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

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