Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Short Edge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))
le(Truncated Icosidodecahedron) = (5/(2*(sqrt(15*(5-sqrt(5))))))*((44*le(Short))/(5*(7-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.
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.
STEP 1: Convert Input(s) to Base Unit
Short Edge of Hexakis Icosahedron: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le(Truncated Icosidodecahedron) = (5/(2*(sqrt(15*(5-sqrt(5))))))*((44*le(Short))/(5*(7-sqrt(5)))) --> (5/(2*(sqrt(15*(5-sqrt(5))))))*((44*5)/(5*(7-sqrt(5))))
Evaluating ... ...
le(Truncated Icosidodecahedron) = 3.58606222411265
STEP 3: Convert Result to Output's Unit
3.58606222411265 Meter --> No Conversion Required
FINAL ANSWER
3.58606222411265 3.586062 Meter <-- Truncated Edge of Hexakis Icosahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Vellore Institute of Technology (VIT), Bhopal
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8 Truncated Icosidodecahedron Edge of Hexakis Icosahedron Calculators

Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Surface to Volume Ratio
Go Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*(((6/5)*(sqrt(10*(417+(107*sqrt(5))))))/(Surface to Volume Ratio of Hexakis Icosahedron*(sqrt(6*(185+(82*sqrt(5)))))))
Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Total Surface Area
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 Insphere Radius
Go 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))))))
Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Volume
Go Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*(((88*Volume of Hexakis Icosahedron)/(25*(sqrt(6*(185+(82*sqrt(5)))))))^(1/3))
Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Midsphere Radius
Go Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5))))
Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Medium Edge
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
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
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 Short Edge Formula

Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))
le(Truncated Icosidodecahedron) = (5/(2*(sqrt(15*(5-sqrt(5))))))*((44*le(Short))/(5*(7-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 Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Short Edge?

Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Short Edge calculator uses Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5)))) to calculate the Truncated Edge of Hexakis Icosahedron, Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Short Edge formula is defined as the length of the edges of a polyhedron that is created by truncating the vertices of an Icosidodecahedron, calculated using short edge of Hexakis Icosahedron. Truncated Edge of Hexakis Icosahedron is denoted by le(Truncated Icosidodecahedron) symbol.

How to calculate Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Short Edge using this online calculator? To use this online calculator for Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Short Edge, enter Short Edge of Hexakis Icosahedron (le(Short)) and hit the calculate button. Here is how the Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Short Edge calculation can be explained with given input values -> 3.586062 = (5/(2*(sqrt(15*(5-sqrt(5))))))*((44*5)/(5*(7-sqrt(5)))).

FAQ

What is Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Short Edge?
Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Short Edge formula is defined as the length of the edges of a polyhedron that is created by truncating the vertices of an Icosidodecahedron, calculated using short edge of Hexakis Icosahedron and is represented as le(Truncated Icosidodecahedron) = (5/(2*(sqrt(15*(5-sqrt(5))))))*((44*le(Short))/(5*(7-sqrt(5)))) or Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5)))). Short Edge of Hexakis Icosahedron is the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron.
How to calculate Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Short Edge?
Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Short Edge formula is defined as the length of the edges of a polyhedron that is created by truncating the vertices of an Icosidodecahedron, calculated using short edge of Hexakis Icosahedron is calculated using Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5)))). To calculate Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Short Edge, you need Short Edge of Hexakis Icosahedron (le(Short)). With our tool, you need to enter the respective value for Short 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 Truncated Edge of Hexakis Icosahedron?
In this formula, Truncated Edge of Hexakis Icosahedron uses Short Edge of Hexakis Icosahedron. We can use 7 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))))))*(sqrt((44*Total Surface Area of Hexakis Icosahedron)/(15*(sqrt(10*(417+(107*sqrt(5))))))))
  • Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*(((88*Volume of Hexakis Icosahedron)/(25*(sqrt(6*(185+(82*sqrt(5)))))))^(1/3))
  • Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5))))
  • 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))))))
  • Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*(((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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