Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius Calculator

✖Insphere Radius of Triakis Icosahedron is the radius of the sphere that is contained by the Triakis Icosahedron in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Triakis Icosahedron [r_i]

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✖Pyramidal Edge Length of Triakis Icosahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Icosahedron.ⓘ Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius [l_e(Pyramid)]

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Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61)))
l_e(Pyramid) = ((15-sqrt(5))/22)*((4*r_i)/(sqrt((10*(33+(13*sqrt(5))))/61)))
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

Pyramidal Edge Length of Triakis Icosahedron - (Measured in Meter) - Pyramidal Edge Length of Triakis Icosahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Icosahedron.
Insphere Radius of Triakis Icosahedron - (Measured in Meter) - Insphere Radius of Triakis Icosahedron is the radius of the sphere that is contained by the Triakis Icosahedron in such a way that all the faces just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Triakis Icosahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Pyramid) = ((15-sqrt(5))/22)*((4*r_i)/(sqrt((10*(33+(13*sqrt(5))))/61))) --> ((15-sqrt(5))/22)*((4*6)/(sqrt((10*(33+(13*sqrt(5))))/61)))

Evaluating ... ...

l_e(Pyramid) = 4.36516830910353

STEP 3: Convert Result to Output's Unit

4.36516830910353 Meter --> No Conversion Required

FINAL ANSWER

4.36516830910353 ≈ 4.365168 Meter <-- Pyramidal Edge Length of Triakis Icosahedron

(Calculation completed in 00.004 seconds)

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< Pyramidal Edge Length of Triakis Icosahedron Calculators

Pyramidal Edge Length of Triakis Icosahedron given Total Surface Area

LaTeX Go Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*(sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5)))))))

Pyramidal Edge Length of Triakis Icosahedron given Volume

LaTeX Go Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*(((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3))

Pyramidal Edge Length of Triakis Icosahedron given Midsphere Radius

LaTeX Go Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5)))

Pyramidal Edge Length of Triakis Icosahedron

LaTeX Go Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*Icosahedral Edge Length of Triakis Icosahedron

Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius Formula

LaTeX Go

What is Triakis Icosahedron?

The Triakis Icosahedron is a three-dimensional polyhedron created from the dual of the truncated dodecahedron. Because of this, it shares the same full icosahedral symmetry group as the dodecahedron and the truncated dodecahedron. It can also be constructed by adding short triangular pyramids onto the faces of an icosahedron. It has 60 faces, 90 edges, 32 vertices.

How to Calculate Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius?

Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius calculator uses Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61))) to calculate the Pyramidal Edge Length of Triakis Icosahedron, Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius formula is defined as a straight line joining two adjacent vertices of pyramid of Triakis Icosahedron, calculated using insphere radius of Triakis Icosahedron. Pyramidal Edge Length of Triakis Icosahedron is denoted by l_e(Pyramid) symbol.

How to calculate Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius using this online calculator? To use this online calculator for Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius, enter Insphere Radius of Triakis Icosahedron (r_i) and hit the calculate button. Here is how the Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius calculation can be explained with given input values -> 4.365168 = ((15-sqrt(5))/22)*((4*6)/(sqrt((10*(33+(13*sqrt(5))))/61))).

FAQ

What is Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius?

Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius formula is defined as a straight line joining two adjacent vertices of pyramid of Triakis Icosahedron, calculated using insphere radius of Triakis Icosahedron and is represented as l_e(Pyramid) = ((15-sqrt(5))/22)*((4*r_i)/(sqrt((10*(33+(13*sqrt(5))))/61))) or Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61))). Insphere Radius of Triakis Icosahedron is the radius of the sphere that is contained by the Triakis Icosahedron in such a way that all the faces just touching the sphere.

How to calculate Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius?

Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius formula is defined as a straight line joining two adjacent vertices of pyramid of Triakis Icosahedron, calculated using insphere radius of Triakis Icosahedron is calculated using Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61))). To calculate Pyramidal Edge Length of Triakis Icosahedron given Insphere Radius, you need Insphere Radius of Triakis Icosahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius of Triakis 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 Pyramidal Edge Length of Triakis Icosahedron?

In this formula, Pyramidal Edge Length of Triakis Icosahedron uses Insphere Radius of Triakis Icosahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*Icosahedral Edge Length of Triakis Icosahedron
Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*(sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5)))))))
Pyramidal Edge Length of Triakis Icosahedron = ((15-sqrt(5))/22)*(((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3))

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