Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Calculator

✖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 Edge of Hexakis Icosahedron [l_{e(Truncated Icosidodecahedron)}]

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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 Truncated Icosidodecahedron Edge [l_e(Long)]

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Formula

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Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

Formula

`"l"_{"e(Long)"} = (2/5)*"l"_{"e(Truncated Icosidodecahedron)"}*(sqrt(15*(5-sqrt(5))))`

Example

`"10.30218m"=(2/5)*"4m"*(sqrt(15*(5-sqrt(5))))`

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Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Edge of Hexakis Icosahedron = (2/5)*Truncated Edge of Hexakis Icosahedron*(sqrt(15*(5-sqrt(5))))
l_e(Long) = (2/5)*l_{e(Truncated Icosidodecahedron)}*(sqrt(15*(5-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.
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.

STEP 1: Convert Input(s) to Base Unit

Truncated Edge of Hexakis Icosahedron: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Long) = (2/5)*l_{e(Truncated Icosidodecahedron)}*(sqrt(15*(5-sqrt(5)))) --> (2/5)*4*(sqrt(15*(5-sqrt(5))))

Evaluating ... ...

l_e(Long) = 10.3021837327825

STEP 3: Convert Result to Output's Unit

10.3021837327825 Meter --> No Conversion Required

FINAL ANSWER

10.3021837327825 ≈ 10.30218 Meter <-- Long 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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Indian Institute of Information Technology (IIIT), Bhopal

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< 8 Long Edge of Hexakis Icosahedron Calculators

Long Edge of Hexakis Icosahedron given Surface to Volume Ratio

Go Long Edge of Hexakis Icosahedron = ((6/5)*(sqrt(10*(417+(107*sqrt(5))))))/(Surface to Volume Ratio of Hexakis Icosahedron*(sqrt(6*(185+(82*sqrt(5))))))

Long Edge of Hexakis Icosahedron given Total Surface Area

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 Insphere Radius

Go Long Edge of Hexakis Icosahedron = (4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5)))))

Long Edge of Hexakis Icosahedron given Volume

Go Long Edge of Hexakis Icosahedron = (((88*Volume of Hexakis Icosahedron)/(25*(sqrt(6*(185+(82*sqrt(5)))))))^(1/3))

Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

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

Long Edge of Hexakis Icosahedron given Midsphere Radius

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

Long Edge of Hexakis Icosahedron given Medium Edge

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

Long Edge of Hexakis Icosahedron given Short Edge

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

Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Formula

Long Edge of Hexakis Icosahedron = (2/5)*Truncated Edge of Hexakis Icosahedron*(sqrt(15*(5-sqrt(5))))
l_e(Long) = (2/5)*l_{e(Truncated Icosidodecahedron)}*(sqrt(15*(5-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 Truncated Icosidodecahedron Edge?

Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge calculator uses Long Edge of Hexakis Icosahedron = (2/5)*Truncated Edge of Hexakis Icosahedron*(sqrt(15*(5-sqrt(5)))) to calculate the Long Edge of Hexakis Icosahedron, Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge formula is defined as the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron, calculated using truncated icosidodecahedron edge of Hexakis Icosahedron. Long Edge of Hexakis Icosahedron is denoted by l_e(Long) symbol.

How to calculate Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge using this online calculator? To use this online calculator for Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge, enter Truncated Edge of Hexakis Icosahedron (l_{e(Truncated Icosidodecahedron)}) and hit the calculate button. Here is how the Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge calculation can be explained with given input values -> 10.30218 = (2/5)*4*(sqrt(15*(5-sqrt(5)))).

FAQ

What is Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge?

Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge formula is defined as the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron, calculated using truncated icosidodecahedron edge of Hexakis Icosahedron and is represented as l_e(Long) = (2/5)*l_{e(Truncated Icosidodecahedron)}*(sqrt(15*(5-sqrt(5)))) or Long Edge of Hexakis Icosahedron = (2/5)*Truncated Edge of Hexakis Icosahedron*(sqrt(15*(5-sqrt(5)))). 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.

How to calculate Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge?

Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge formula is defined as the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron, calculated using truncated icosidodecahedron edge of Hexakis Icosahedron is calculated using Long Edge of Hexakis Icosahedron = (2/5)*Truncated Edge of Hexakis Icosahedron*(sqrt(15*(5-sqrt(5)))). To calculate Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge, you need Truncated Edge of Hexakis Icosahedron (l_{e(Truncated Icosidodecahedron)}). With our tool, you need to enter the respective value for Truncated Edge 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 Truncated Edge of Hexakis Icosahedron. We can use 7 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 = sqrt((44*Total Surface Area of Hexakis Icosahedron)/(15*(sqrt(10*(417+(107*sqrt(5)))))))
Long Edge of Hexakis Icosahedron = (((88*Volume of Hexakis Icosahedron)/(25*(sqrt(6*(185+(82*sqrt(5)))))))^(1/3))
Long Edge of Hexakis Icosahedron = (8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5)))
Long Edge of Hexakis Icosahedron = (4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5)))))
Long Edge of Hexakis Icosahedron = ((6/5)*(sqrt(10*(417+(107*sqrt(5))))))/(Surface to Volume Ratio of Hexakis Icosahedron*(sqrt(6*(185+(82*sqrt(5))))))

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