Edge Length of Truncated Icosahedron given Icosahedral Edge Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Truncated Icosahedron = Icosahedral Edge Length of Truncated Icosahedron/3
le = le(Icosahedron)/3
This formula uses 2 Variables
Variables Used
Edge Length of Truncated Icosahedron - (Measured in Meter) - Edge Length of Truncated Icosahedron is the length of any edge of the Truncated Icosahedron.
Icosahedral Edge Length of Truncated Icosahedron - (Measured in Meter) - Icosahedral Edge Length of Truncated Icosahedron is the length of any edge of the larger Icosahedron from which the corners are cut to form the Truncated Icosahedron.
STEP 1: Convert Input(s) to Base Unit
Icosahedral Edge Length of Truncated Icosahedron: 30 Meter --> 30 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = le(Icosahedron)/3 --> 30/3
Evaluating ... ...
le = 10
STEP 3: Convert Result to Output's Unit
10 Meter --> No Conversion Required
FINAL ANSWER
10 Meter <-- Edge Length of Truncated Icosahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Calculator and 2000+ more calculators!
Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has verified this Calculator and 1700+ more calculators!

6 Edge Length of Truncated Icosahedron Calculators

Edge Length of Truncated Icosahedron given Surface to Volume Ratio
Go Edge Length of Truncated Icosahedron = (12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Truncated Icosahedron*(125+(43*sqrt(5))))
Edge Length of Truncated Icosahedron given Total Surface Area
Go Edge Length of Truncated Icosahedron = sqrt(Total Surface Area of Truncated Icosahedron/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5))))))
Edge Length of Truncated Icosahedron given Circumsphere Radius
Go Edge Length of Truncated Icosahedron = (4*Circumsphere Radius of Truncated Icosahedron)/(sqrt(58+(18*sqrt(5))))
Edge Length of Truncated Icosahedron given Volume
Go Edge Length of Truncated Icosahedron = ((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(1/3)
Edge Length of Truncated Icosahedron given Midsphere Radius
Go Edge Length of Truncated Icosahedron = (4*Midsphere Radius of Truncated Icosahedron)/(3*(1+sqrt(5)))
Edge Length of Truncated Icosahedron given Icosahedral Edge Length
Go Edge Length of Truncated Icosahedron = Icosahedral Edge Length of Truncated Icosahedron/3

Edge Length of Truncated Icosahedron given Icosahedral Edge Length Formula

Edge Length of Truncated Icosahedron = Icosahedral Edge Length of Truncated Icosahedron/3
le = le(Icosahedron)/3

What is Truncated Icosahedron and its applications?

In geometry, the Truncated Icosahedron is an Archimedean solid, one of 13 convex isogonal non-prismatic solids whose faces are two or more types of regular polygons. It has a total of 32 faces which include 12 regular pentagonal faces, 20 regular hexagonal faces, 60 vertices and 90 edges. It is the Goldberg polyhedron GPV(1,1) or {5+,3}1,1, containing pentagonal and hexagonal faces. This geometry is associated with footballs (soccer balls) typically patterned with white hexagons and black pentagons. Geodesic domes such as those whose architecture Buckminster Fuller pioneered are often based on this structure. It also corresponds to the geometry of the fullerene C60 ("buckyball") molecule. It is used in the cell-transitive hyperbolic space-filling tessellation, the bi-truncated order-5 dodecahedral honeycomb.

How to Calculate Edge Length of Truncated Icosahedron given Icosahedral Edge Length?

Edge Length of Truncated Icosahedron given Icosahedral Edge Length calculator uses Edge Length of Truncated Icosahedron = Icosahedral Edge Length of Truncated Icosahedron/3 to calculate the Edge Length of Truncated Icosahedron, Edge Length of Truncated Icosahedron given Icosahedral Edge Length formula is defined as the length of any edge of the Truncated Icosahedron, and calculated using the icosahedral edge length of the Truncated Icosahedron. Edge Length of Truncated Icosahedron is denoted by le symbol.

How to calculate Edge Length of Truncated Icosahedron given Icosahedral Edge Length using this online calculator? To use this online calculator for Edge Length of Truncated Icosahedron given Icosahedral Edge Length, enter Icosahedral Edge Length of Truncated Icosahedron (le(Icosahedron)) and hit the calculate button. Here is how the Edge Length of Truncated Icosahedron given Icosahedral Edge Length calculation can be explained with given input values -> 10 = 30/3.

FAQ

What is Edge Length of Truncated Icosahedron given Icosahedral Edge Length?
Edge Length of Truncated Icosahedron given Icosahedral Edge Length formula is defined as the length of any edge of the Truncated Icosahedron, and calculated using the icosahedral edge length of the Truncated Icosahedron and is represented as le = le(Icosahedron)/3 or Edge Length of Truncated Icosahedron = Icosahedral Edge Length of Truncated Icosahedron/3. Icosahedral Edge Length of Truncated Icosahedron is the length of any edge of the larger Icosahedron from which the corners are cut to form the Truncated Icosahedron.
How to calculate Edge Length of Truncated Icosahedron given Icosahedral Edge Length?
Edge Length of Truncated Icosahedron given Icosahedral Edge Length formula is defined as the length of any edge of the Truncated Icosahedron, and calculated using the icosahedral edge length of the Truncated Icosahedron is calculated using Edge Length of Truncated Icosahedron = Icosahedral Edge Length of Truncated Icosahedron/3. To calculate Edge Length of Truncated Icosahedron given Icosahedral Edge Length, you need Icosahedral Edge Length of Truncated Icosahedron (le(Icosahedron)). With our tool, you need to enter the respective value for Icosahedral Edge Length of Truncated 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 Edge Length of Truncated Icosahedron?
In this formula, Edge Length of Truncated Icosahedron uses Icosahedral Edge Length of Truncated Icosahedron. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Edge Length of Truncated Icosahedron = sqrt(Total Surface Area of Truncated Icosahedron/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5))))))
  • Edge Length of Truncated Icosahedron = ((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(1/3)
  • Edge Length of Truncated Icosahedron = (4*Circumsphere Radius of Truncated Icosahedron)/(sqrt(58+(18*sqrt(5))))
  • Edge Length of Truncated Icosahedron = (4*Midsphere Radius of Truncated Icosahedron)/(3*(1+sqrt(5)))
  • Edge Length of Truncated Icosahedron = (12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Truncated Icosahedron*(125+(43*sqrt(5))))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!