Midsphere Radius of Hexakis Icosahedron given Short Edge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))
rm = ((5+(3*sqrt(5)))/8)*((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
Midsphere Radius of Hexakis Icosahedron - (Measured in Meter) - Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere.
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
rm = ((5+(3*sqrt(5)))/8)*((44*le(Short))/(5*(7-sqrt(5)))) --> ((5+(3*sqrt(5)))/8)*((44*5)/(5*(7-sqrt(5))))
Evaluating ... ...
rm = 13.5172209268743
STEP 3: Convert Result to Output's Unit
13.5172209268743 Meter --> No Conversion Required
FINAL ANSWER
13.5172209268743 13.51722 Meter <-- Midsphere Radius of Hexakis Icosahedron
(Calculation completed in 00.011 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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Midsphere Radius of Hexakis Icosahedron Calculators

Midsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge
​ LaTeX ​ Go Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*(2/5)*(Truncated Edge of Hexakis Icosahedron)*(sqrt(15*(5-sqrt(5))))
Midsphere Radius of Hexakis Icosahedron given Medium Edge
​ LaTeX ​ Go Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))
Midsphere Radius of Hexakis Icosahedron given Short Edge
​ LaTeX ​ Go Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))
Midsphere Radius of Hexakis Icosahedron
​ LaTeX ​ Go Midsphere Radius of Hexakis Icosahedron = Long Edge of Hexakis Icosahedron/8*(5+3*sqrt(5))

Midsphere Radius of Hexakis Icosahedron given Short Edge Formula

​LaTeX ​Go
Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))
rm = ((5+(3*sqrt(5)))/8)*((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 Midsphere Radius of Hexakis Icosahedron given Short Edge?

Midsphere Radius of Hexakis Icosahedron given Short Edge calculator uses Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5)))) to calculate the Midsphere Radius of Hexakis Icosahedron, Midsphere Radius of Hexakis Icosahedron given Short Edge formula is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere, calculated using short edge of Hexakis Icosahedron. Midsphere Radius of Hexakis Icosahedron is denoted by rm symbol.

How to calculate Midsphere Radius of Hexakis Icosahedron given Short Edge using this online calculator? To use this online calculator for Midsphere Radius of Hexakis Icosahedron given Short Edge, enter Short Edge of Hexakis Icosahedron (le(Short)) and hit the calculate button. Here is how the Midsphere Radius of Hexakis Icosahedron given Short Edge calculation can be explained with given input values -> 13.51722 = ((5+(3*sqrt(5)))/8)*((44*5)/(5*(7-sqrt(5)))).

FAQ

What is Midsphere Radius of Hexakis Icosahedron given Short Edge?
Midsphere Radius of Hexakis Icosahedron given Short Edge formula is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere, calculated using short edge of Hexakis Icosahedron and is represented as rm = ((5+(3*sqrt(5)))/8)*((44*le(Short))/(5*(7-sqrt(5)))) or Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((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 Midsphere Radius of Hexakis Icosahedron given Short Edge?
Midsphere Radius of Hexakis Icosahedron given Short Edge formula is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere, calculated using short edge of Hexakis Icosahedron is calculated using Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5)))). To calculate Midsphere Radius 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 Midsphere Radius of Hexakis Icosahedron?
In this formula, Midsphere Radius of Hexakis Icosahedron uses Short Edge of Hexakis Icosahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*(2/5)*(Truncated Edge of Hexakis Icosahedron)*(sqrt(15*(5-sqrt(5))))
  • Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))
  • Midsphere Radius of Hexakis Icosahedron = Long Edge of Hexakis Icosahedron/8*(5+3*sqrt(5))
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