Symmetry Diagonal of Deltoidal Hexecontahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*Long Edge of Deltoidal Hexecontahedron
dSymmetry = 3*sqrt((5-sqrt(5))/20)*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
Symmetry Diagonal of Deltoidal Hexecontahedron - (Measured in Meter) - Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves.
Long Edge of Deltoidal Hexecontahedron - (Measured in Meter) - Long Edge of Deltoidal Hexecontahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.
STEP 1: Convert Input(s) to Base Unit
Long Edge of Deltoidal Hexecontahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dSymmetry = 3*sqrt((5-sqrt(5))/20)*le(Long) --> 3*sqrt((5-sqrt(5))/20)*10
Evaluating ... ...
dSymmetry = 11.1524410338055
STEP 3: Convert Result to Output's Unit
11.1524410338055 Meter --> No Conversion Required
FINAL ANSWER
11.1524410338055 11.15244 Meter <-- Symmetry Diagonal of Deltoidal Hexecontahedron
(Calculation completed in 00.020 seconds)

Credits

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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Symmetry Diagonal of Deltoidal Hexecontahedron Calculators

Symmetry Diagonal of Deltoidal Hexecontahedron given Total Surface Area
​ LaTeX ​ Go Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/sqrt(10*(157+(31*sqrt(5)))))
Symmetry Diagonal of Deltoidal Hexecontahedron given NonSymmetry Diagonal
​ LaTeX ​ Go Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))
Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge
​ LaTeX ​ Go Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(22*Short Edge of Deltoidal Hexecontahedron)/(7-sqrt(5))
Symmetry Diagonal of Deltoidal Hexecontahedron
​ LaTeX ​ Go Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*Long Edge of Deltoidal Hexecontahedron

Symmetry Diagonal of Deltoidal Hexecontahedron Formula

​LaTeX ​Go
Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*Long Edge of Deltoidal Hexecontahedron
dSymmetry = 3*sqrt((5-sqrt(5))/20)*le(Long)

What is Deltoidal Hexecontahedron?

A Deltoidal Hexecontahedron is a polyhedron with deltoid (kite) faces, those have two angles with 86.97°, one angle with 118.3° and one with 67.8°. It has twenty vertices with three edges, thirty vertices with four edges and twelve vertices with five edges. In total, it has 60 faces, 120 edges, 62 vertices.

How to Calculate Symmetry Diagonal of Deltoidal Hexecontahedron?

Symmetry Diagonal of Deltoidal Hexecontahedron calculator uses Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*Long Edge of Deltoidal Hexecontahedron to calculate the Symmetry Diagonal of Deltoidal Hexecontahedron, Symmetry Diagonal of Deltoidal Hexecontahedron formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves. Symmetry Diagonal of Deltoidal Hexecontahedron is denoted by dSymmetry symbol.

How to calculate Symmetry Diagonal of Deltoidal Hexecontahedron using this online calculator? To use this online calculator for Symmetry Diagonal of Deltoidal Hexecontahedron, enter Long Edge of Deltoidal Hexecontahedron (le(Long)) and hit the calculate button. Here is how the Symmetry Diagonal of Deltoidal Hexecontahedron calculation can be explained with given input values -> 11.15244 = 3*sqrt((5-sqrt(5))/20)*10.

FAQ

What is Symmetry Diagonal of Deltoidal Hexecontahedron?
Symmetry Diagonal of Deltoidal Hexecontahedron formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves and is represented as dSymmetry = 3*sqrt((5-sqrt(5))/20)*le(Long) or Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*Long Edge of Deltoidal Hexecontahedron. Long Edge of Deltoidal Hexecontahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.
How to calculate Symmetry Diagonal of Deltoidal Hexecontahedron?
Symmetry Diagonal of Deltoidal Hexecontahedron formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves is calculated using Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*Long Edge of Deltoidal Hexecontahedron. To calculate Symmetry Diagonal of Deltoidal Hexecontahedron, you need Long Edge of Deltoidal Hexecontahedron (le(Long)). With our tool, you need to enter the respective value for Long Edge of Deltoidal Hexecontahedron 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 Symmetry Diagonal of Deltoidal Hexecontahedron?
In this formula, Symmetry Diagonal of Deltoidal Hexecontahedron uses Long Edge of Deltoidal Hexecontahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(22*Short Edge of Deltoidal Hexecontahedron)/(7-sqrt(5))
  • Symmetry Diagonal of Deltoidal Hexecontahedron = 3*sqrt((5-sqrt(5))/20)*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))
  • Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/sqrt(10*(157+(31*sqrt(5)))))
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