Mid Ridge Length of Great Icosahedron Calculator

✖Edge Length of Great Icosahedron is the distance between any pair of adjacent peak vertices of the Great Icosahedron.ⓘ Edge Length of Great Icosahedron [l_e]

+10%

-10%

✖Mid Ridge Length of Great Icosahedron the length of any of the edges that starts from the peak vertex and end on the interior of the pentagon on which each peak of Great Icosahedron is attached.ⓘ Mid Ridge Length of Great Icosahedron [l_Ridge(Mid)]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Mid Ridge Length of Great Icosahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mid Ridge Length of Great Icosahedron = (1+sqrt(5))/2*Edge Length of Great Icosahedron
l_Ridge(Mid) = (1+sqrt(5))/2*l_e
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

Mid Ridge Length of Great Icosahedron - (Measured in Meter) - Mid Ridge Length of Great Icosahedron the length of any of the edges that starts from the peak vertex and end on the interior of the pentagon on which each peak of Great Icosahedron is attached.
Edge Length of Great Icosahedron - (Measured in Meter) - Edge Length of Great Icosahedron is the distance between any pair of adjacent peak vertices of the Great Icosahedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Great Icosahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Ridge(Mid) = (1+sqrt(5))/2*l_e --> (1+sqrt(5))/2*10

Evaluating ... ...

l_Ridge(Mid) = 16.1803398874989

STEP 3: Convert Result to Output's Unit

16.1803398874989 Meter --> No Conversion Required

FINAL ANSWER

16.1803398874989 ≈ 16.18034 Meter <-- Mid Ridge Length of Great Icosahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Great Icosahedron » Ridge Length of Great Icosahedron » Mid Ridge Length of Great Icosahedron » Mid Ridge Length of Great Icosahedron

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Mid Ridge Length of Great Icosahedron Calculators

Mid Ridge Length of Great Icosahedron given Long Ridge Length

LaTeX Go Mid Ridge Length of Great Icosahedron = (1+sqrt(5))/2*(10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5))))

Mid Ridge Length of Great Icosahedron given Circumsphere Radius

LaTeX Go Mid Ridge Length of Great Icosahedron = (1+sqrt(5))/2*(4*Circumsphere Radius of Great Icosahedron)/sqrt(50+(22*sqrt(5)))

Mid Ridge Length of Great Icosahedron given Short Ridge Length

LaTeX Go Mid Ridge Length of Great Icosahedron = (1+sqrt(5))/2*(5*Short Ridge Length of Great Icosahedron)/sqrt(10)

Mid Ridge Length of Great Icosahedron

LaTeX Go Mid Ridge Length of Great Icosahedron = (1+sqrt(5))/2*Edge Length of Great Icosahedron

Mid Ridge Length of Great Icosahedron Formula

LaTeX Go

Mid Ridge Length of Great Icosahedron = (1+sqrt(5))/2*Edge Length of Great Icosahedron
l_Ridge(Mid) = (1+sqrt(5))/2*l_e

What is Great Icosahedron?

The Great Icosahedron can be constructed from an icosahedron with unit edge lengths by taking the 20 sets of vertices that are mutually spaced by a distance phi, the golden ratio. The solid therefore consists of 20 equilateral triangles. The symmetry of their arrangement is such that the resulting solid contains 12 pentagrams.

How to Calculate Mid Ridge Length of Great Icosahedron?

Mid Ridge Length of Great Icosahedron calculator uses Mid Ridge Length of Great Icosahedron = (1+sqrt(5))/2*Edge Length of Great Icosahedron to calculate the Mid Ridge Length of Great Icosahedron, Mid Ridge Length of Great Icosahedron formula is defined as the length of any of the edges that starts from the peak vertex and end on the interior of the pentagon on which each peak of Great Icosahedron is attached. Mid Ridge Length of Great Icosahedron is denoted by l_Ridge(Mid) symbol.

How to calculate Mid Ridge Length of Great Icosahedron using this online calculator? To use this online calculator for Mid Ridge Length of Great Icosahedron, enter Edge Length of Great Icosahedron (l_e) and hit the calculate button. Here is how the Mid Ridge Length of Great Icosahedron calculation can be explained with given input values -> 16.18034 = (1+sqrt(5))/2*10.

FAQ

What is Mid Ridge Length of Great Icosahedron?

Mid Ridge Length of Great Icosahedron formula is defined as the length of any of the edges that starts from the peak vertex and end on the interior of the pentagon on which each peak of Great Icosahedron is attached and is represented as l_Ridge(Mid) = (1+sqrt(5))/2*l_e or Mid Ridge Length of Great Icosahedron = (1+sqrt(5))/2*Edge Length of Great Icosahedron. Edge Length of Great Icosahedron is the distance between any pair of adjacent peak vertices of the Great Icosahedron.

How to calculate Mid Ridge Length of Great Icosahedron?

Mid Ridge Length of Great Icosahedron formula is defined as the length of any of the edges that starts from the peak vertex and end on the interior of the pentagon on which each peak of Great Icosahedron is attached is calculated using Mid Ridge Length of Great Icosahedron = (1+sqrt(5))/2*Edge Length of Great Icosahedron. To calculate Mid Ridge Length of Great Icosahedron, you need Edge Length of Great Icosahedron (l_e). With our tool, you need to enter the respective value for Edge Length of Great 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 Mid Ridge Length of Great Icosahedron?

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

Mid Ridge Length of Great Icosahedron = (1+sqrt(5))/2*(10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5))))
Mid Ridge Length of Great Icosahedron = (1+sqrt(5))/2*(5*Short Ridge Length of Great Icosahedron)/sqrt(10)
Mid Ridge Length of Great Icosahedron = (1+sqrt(5))/2*(4*Circumsphere Radius of Great Icosahedron)/sqrt(50+(22*sqrt(5)))

Home

FREE PDFs

🔍 Search