Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius Calculator

✖Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Hexakis Icosahedron [r_i]

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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 Insphere Radius [l_{e(Truncated Icosidodecahedron)}]

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Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))))
l_{e(Truncated Icosidodecahedron)} = (5/(2*(sqrt(15*(5-sqrt(5))))))*((4*r_i)/(sqrt((15/241)*(275+(119*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.
Insphere Radius of Hexakis Icosahedron - (Measured in Meter) - Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Hexakis Icosahedron: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{e(Truncated Icosidodecahedron)} = (5/(2*(sqrt(15*(5-sqrt(5))))))*((4*r_i)/(sqrt((15/241)*(275+(119*sqrt(5)))))) --> (5/(2*(sqrt(15*(5-sqrt(5))))))*((4*14)/(sqrt((15/241)*(275+(119*sqrt(5))))))

Evaluating ... ...

l_{e(Truncated Icosidodecahedron)} = 3.74667503724053

STEP 3: Convert Result to Output's Unit

3.74667503724053 Meter --> No Conversion Required

FINAL ANSWER

3.74667503724053 ≈ 3.746675 Meter <-- Truncated Edge of Hexakis Icosahedron

(Calculation completed in 00.006 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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< 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 Insphere 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 Insphere Radius?

Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius calculator uses Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5)))))) to calculate the Truncated Edge of Hexakis Icosahedron, Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere 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 insphere 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 Insphere Radius using this online calculator? To use this online calculator for Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius, enter Insphere Radius of Hexakis Icosahedron (r_i) and hit the calculate button. Here is how the Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius calculation can be explained with given input values -> 3.746675 = (5/(2*(sqrt(15*(5-sqrt(5))))))*((4*14)/(sqrt((15/241)*(275+(119*sqrt(5)))))).

FAQ

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

Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere 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 insphere radius of Hexakis Icosahedron and is represented as l_{e(Truncated Icosidodecahedron)} = (5/(2*(sqrt(15*(5-sqrt(5))))))*((4*r_i)/(sqrt((15/241)*(275+(119*sqrt(5)))))) or Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5)))))). Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.

How to calculate Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius?

Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere 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 insphere radius of Hexakis Icosahedron is calculated using Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5)))))). To calculate Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius, you need Insphere Radius of Hexakis Icosahedron (r_i). With our tool, you need to enter the respective value for Insphere 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 Insphere 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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