Short 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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✖Short Edge of Hexakis Icosahedron is the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron.ⓘ Short Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge [l_e(Short)]

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Short Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*(2/5)*(sqrt(15*(5-sqrt(5))))*Truncated Edge of Hexakis Icosahedron
l_e(Short) = (5/44)*(7-sqrt(5))*(2/5)*(sqrt(15*(5-sqrt(5))))*l_{e(Truncated Icosidodecahedron)}
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 Edge of Hexakis Icosahedron - (Measured in Meter) - Short Edge of Hexakis Icosahedron is the length of the shortest edge that connects two adjacent 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(Short) = (5/44)*(7-sqrt(5))*(2/5)*(sqrt(15*(5-sqrt(5))))*l_{e(Truncated Icosidodecahedron)} --> (5/44)*(7-sqrt(5))*(2/5)*(sqrt(15*(5-sqrt(5))))*4

Evaluating ... ...

l_e(Short) = 5.57714806662309

STEP 3: Convert Result to Output's Unit

5.57714806662309 Meter --> No Conversion Required

FINAL ANSWER

5.57714806662309 ≈ 5.577148 Meter <-- Short 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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< Short Edge of Hexakis Icosahedron Calculators

Short Edge of Hexakis Icosahedron given Total Surface Area

LaTeX Go Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*(sqrt((44*Total Surface Area of Hexakis Icosahedron)/(15*(sqrt(10*(417+(107*sqrt(5))))))))

Short Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

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

Short Edge of Hexakis Icosahedron given Medium Edge

LaTeX Go Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))

Short Edge of Hexakis Icosahedron

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

Short Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge 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 Short Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge?

Short Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge calculator uses Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*(2/5)*(sqrt(15*(5-sqrt(5))))*Truncated Edge of Hexakis Icosahedron to calculate the Short Edge of Hexakis Icosahedron, Short Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge formula is defined as the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron, calculated using truncated icosidodecahedron edge of Hexakis Icosahedron. Short Edge of Hexakis Icosahedron is denoted by l_e(Short) symbol.

How to calculate Short Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge using this online calculator? To use this online calculator for Short 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 Short Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge calculation can be explained with given input values -> 5.577148 = (5/44)*(7-sqrt(5))*(2/5)*(sqrt(15*(5-sqrt(5))))*4.

FAQ

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

Short Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge formula is defined as the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron, calculated using truncated icosidodecahedron edge of Hexakis Icosahedron and is represented as l_e(Short) = (5/44)*(7-sqrt(5))*(2/5)*(sqrt(15*(5-sqrt(5))))*l_{e(Truncated Icosidodecahedron)} or Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*(2/5)*(sqrt(15*(5-sqrt(5))))*Truncated Edge of Hexakis Icosahedron. 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 Short Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge?

Short Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge formula is defined as the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron, calculated using truncated icosidodecahedron edge of Hexakis Icosahedron is calculated using Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*(2/5)*(sqrt(15*(5-sqrt(5))))*Truncated Edge of Hexakis Icosahedron. To calculate Short 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 Short Edge of Hexakis Icosahedron?

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

Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*Long Edge of Hexakis Icosahedron
Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))
Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*(sqrt((44*Total Surface Area of Hexakis Icosahedron)/(15*(sqrt(10*(417+(107*sqrt(5))))))))

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