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))))
le(Long) = (2/5)*le(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
le(Long) = (2/5)*le(Truncated Icosidodecahedron)*(sqrt(15*(5-sqrt(5)))) --> (2/5)*4*(sqrt(15*(5-sqrt(5))))
Evaluating ... ...
le(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)

Credits

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Verified by Mridul Sharma
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 Truncated Icosidodecahedron Edge Formula

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