Long Edge of Pentagonal Icositetrahedron given Short Edge Calculator

✖Short Edge of Pentagonal Icositetrahedron is the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.ⓘ Short Edge of Pentagonal Icositetrahedron [l_e(Short)]

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✖Long Edge of Pentagonal Icositetrahedron is the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.ⓘ Long Edge of Pentagonal Icositetrahedron given Short Edge [l_e(Long)]

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Long Edge of Pentagonal Icositetrahedron given Short Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Edge of Pentagonal Icositetrahedron = ([Tribonacci_C]+1)/2*Short Edge of Pentagonal Icositetrahedron
l_e(Long) = ([Tribonacci_C]+1)/2*l_e(Short)
This formula uses 1 Constants, 2 Variables

Constants Used

[Tribonacci_C] - Tribonacci constant Value Taken As 1.839286755214161

Variables Used

Long Edge of Pentagonal Icositetrahedron - (Measured in Meter) - Long Edge of Pentagonal Icositetrahedron is the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.
Short Edge of Pentagonal Icositetrahedron - (Measured in Meter) - Short Edge of Pentagonal Icositetrahedron is the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.

STEP 1: Convert Input(s) to Base Unit

Short Edge of Pentagonal Icositetrahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Long) = ([Tribonacci_C]+1)/2*l_e(Short) --> ([Tribonacci_C]+1)/2*6

Evaluating ... ...

l_e(Long) = 8.51786026564248

STEP 3: Convert Result to Output's Unit

8.51786026564248 Meter --> No Conversion Required

FINAL ANSWER

8.51786026564248 ≈ 8.51786 Meter <-- Long Edge of Pentagonal Icositetrahedron

(Calculation completed in 00.018 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Long Edge of Pentagonal Icositetrahedron Calculators

Long Edge of Pentagonal Icositetrahedron given Total Surface Area

LaTeX Go Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*(sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4))

Long Edge of Pentagonal Icositetrahedron given Volume

LaTeX Go Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*(Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6))

Long Edge of Pentagonal Icositetrahedron

LaTeX Go Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*Snub Cube Edge of Pentagonal Icositetrahedron

Long Edge of Pentagonal Icositetrahedron given Short Edge

LaTeX Go Long Edge of Pentagonal Icositetrahedron = ([Tribonacci_C]+1)/2*Short Edge of Pentagonal Icositetrahedron

Long Edge of Pentagonal Icositetrahedron given Short Edge Formula

LaTeX Go

Long Edge of Pentagonal Icositetrahedron = ([Tribonacci_C]+1)/2*Short Edge of Pentagonal Icositetrahedron
l_e(Long) = ([Tribonacci_C]+1)/2*l_e(Short)

What is Pentagonal Icositetrahedron?

The Pentagonal Icositetrahedron can be constructed from a snub cube. Its faces are axial-symmetric pentagons with the top angle acos(2-t)=80.7517°. Of this polyhedron, there are two forms that are mirror images of each other, but otherwise identical. It has 24 faces, 60 edges, and 38 vertices.

How to Calculate Long Edge of Pentagonal Icositetrahedron given Short Edge?

Long Edge of Pentagonal Icositetrahedron given Short Edge calculator uses Long Edge of Pentagonal Icositetrahedron = ([Tribonacci_C]+1)/2*Short Edge of Pentagonal Icositetrahedron to calculate the Long Edge of Pentagonal Icositetrahedron, Long Edge of Pentagonal Icositetrahedron given Short Edge formula is defined as the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron, calculated using short edge of Pentagonal Icositetrahedron. Long Edge of Pentagonal Icositetrahedron is denoted by l_e(Long) symbol.

How to calculate Long Edge of Pentagonal Icositetrahedron given Short Edge using this online calculator? To use this online calculator for Long Edge of Pentagonal Icositetrahedron given Short Edge, enter Short Edge of Pentagonal Icositetrahedron (l_e(Short)) and hit the calculate button. Here is how the Long Edge of Pentagonal Icositetrahedron given Short Edge calculation can be explained with given input values -> 8.51786 = ([Tribonacci_C]+1)/2*6.

FAQ

What is Long Edge of Pentagonal Icositetrahedron given Short Edge?

Long Edge of Pentagonal Icositetrahedron given Short Edge formula is defined as the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron, calculated using short edge of Pentagonal Icositetrahedron and is represented as l_e(Long) = ([Tribonacci_C]+1)/2*l_e(Short) or Long Edge of Pentagonal Icositetrahedron = ([Tribonacci_C]+1)/2*Short Edge of Pentagonal Icositetrahedron. Short Edge of Pentagonal Icositetrahedron is the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.

How to calculate Long Edge of Pentagonal Icositetrahedron given Short Edge?

Long Edge of Pentagonal Icositetrahedron given Short Edge formula is defined as the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron, calculated using short edge of Pentagonal Icositetrahedron is calculated using Long Edge of Pentagonal Icositetrahedron = ([Tribonacci_C]+1)/2*Short Edge of Pentagonal Icositetrahedron. To calculate Long Edge of Pentagonal Icositetrahedron given Short Edge, you need Short Edge of Pentagonal Icositetrahedron (l_e(Short)). With our tool, you need to enter the respective value for Short Edge of Pentagonal Icositetrahedron 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 Long Edge of Pentagonal Icositetrahedron?

In this formula, Long Edge of Pentagonal Icositetrahedron uses Short Edge of Pentagonal Icositetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*Snub Cube Edge of Pentagonal Icositetrahedron
Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*(sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4))
Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*(Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6))

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