Short Edge of Hexakis Icosahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*Long Edge of Hexakis Icosahedron
le(Short) = (5/44)*(7-sqrt(5))*le(Long)
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.
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.
STEP 1: Convert Input(s) to Base Unit
Long Edge of Hexakis Icosahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le(Short) = (5/44)*(7-sqrt(5))*le(Long) --> (5/44)*(7-sqrt(5))*10
Evaluating ... ...
le(Short) = 5.41355911647751
STEP 3: Convert Result to Output's Unit
5.41355911647751 Meter --> No Conversion Required
FINAL ANSWER
5.41355911647751 5.413559 Meter <-- Short 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
Shweta Patil has created this Calculator and 2500+ more calculators!
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Verified by Mridul Sharma
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 Formula

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

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?

Short Edge of Hexakis Icosahedron calculator uses Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*Long Edge of Hexakis Icosahedron to calculate the Short Edge of Hexakis Icosahedron, Short Edge of Hexakis Icosahedron formula is defined as the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron. Short Edge of Hexakis Icosahedron is denoted by le(Short) symbol.

How to calculate Short Edge of Hexakis Icosahedron using this online calculator? To use this online calculator for Short Edge of Hexakis Icosahedron, enter Long Edge of Hexakis Icosahedron (le(Long)) and hit the calculate button. Here is how the Short Edge of Hexakis Icosahedron calculation can be explained with given input values -> 5.413559 = (5/44)*(7-sqrt(5))*10.

FAQ

What is Short Edge of Hexakis Icosahedron?
Short Edge of Hexakis Icosahedron formula is defined as the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron and is represented as le(Short) = (5/44)*(7-sqrt(5))*le(Long) or Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*Long Edge of Hexakis Icosahedron. Long Edge of Hexakis Icosahedron is the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron.
How to calculate Short Edge of Hexakis Icosahedron?
Short Edge of Hexakis Icosahedron formula is defined as the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron is calculated using Short Edge of Hexakis Icosahedron = (5/44)*(7-sqrt(5))*Long Edge of Hexakis Icosahedron. To calculate Short Edge of Hexakis Icosahedron, you need Long Edge of Hexakis Icosahedron (le(Long)). With our tool, you need to enter the respective value for Long 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 Long 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))*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))
  • 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 = (5/44)*(7-sqrt(5))*(sqrt((44*Total Surface Area of Hexakis Icosahedron)/(15*(sqrt(10*(417+(107*sqrt(5))))))))
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