Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge Calculator

✖Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.ⓘ Short Edge of Deltoidal Hexecontahedron [l_e(Short)]

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✖Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves.ⓘ Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge [d_Symmetry]

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Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(22*Short Edge of Deltoidal Hexecontahedron)/(7-sqrt(5))
d_Symmetry = sqrt((5-sqrt(5))/20)*(22*l_e(Short))/(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

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.
Short Edge of Deltoidal Hexecontahedron - (Measured in Meter) - Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.

STEP 1: Convert Input(s) to Base Unit

Short Edge of Deltoidal Hexecontahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Symmetry = sqrt((5-sqrt(5))/20)*(22*l_e(Short))/(7-sqrt(5)) --> sqrt((5-sqrt(5))/20)*(22*6)/(7-sqrt(5))

Evaluating ... ...

d_Symmetry = 10.3004703503286

STEP 3: Convert Result to Output's Unit

10.3004703503286 Meter --> No Conversion Required

FINAL ANSWER

10.3004703503286 ≈ 10.30047 Meter <-- Symmetry Diagonal of Deltoidal Hexecontahedron

(Calculation completed in 00.004 seconds)

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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 given Short Edge Formula

LaTeX Go

Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(22*Short Edge of Deltoidal Hexecontahedron)/(7-sqrt(5))
d_Symmetry = sqrt((5-sqrt(5))/20)*(22*l_e(Short))/(7-sqrt(5))

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 given Short Edge?

Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge calculator uses Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(22*Short Edge of Deltoidal Hexecontahedron)/(7-sqrt(5)) to calculate the Symmetry Diagonal of Deltoidal Hexecontahedron, Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves, calculated using short edge of Deltoidal Hexecontahedron. Symmetry Diagonal of Deltoidal Hexecontahedron is denoted by d_Symmetry symbol.

How to calculate Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge using this online calculator? To use this online calculator for Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge, enter Short Edge of Deltoidal Hexecontahedron (l_e(Short)) and hit the calculate button. Here is how the Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge calculation can be explained with given input values -> 10.30047 = sqrt((5-sqrt(5))/20)*(22*6)/(7-sqrt(5)).

FAQ

What is Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge?

Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves, calculated using short edge of Deltoidal Hexecontahedron and is represented as d_Symmetry = sqrt((5-sqrt(5))/20)*(22*l_e(Short))/(7-sqrt(5)) or Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(22*Short Edge of Deltoidal Hexecontahedron)/(7-sqrt(5)). Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.

How to calculate Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge?

Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge formula is defined as the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves, calculated using short edge of Deltoidal Hexecontahedron is calculated using Symmetry Diagonal of Deltoidal Hexecontahedron = sqrt((5-sqrt(5))/20)*(22*Short Edge of Deltoidal Hexecontahedron)/(7-sqrt(5)). To calculate Symmetry Diagonal of Deltoidal Hexecontahedron given Short Edge, you need Short Edge of Deltoidal Hexecontahedron (l_e(Short)). With our tool, you need to enter the respective value for Short 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 Short 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 = 3*sqrt((5-sqrt(5))/20)*Long Edge of Deltoidal Hexecontahedron
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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