Icosahedral Edge Length of Truncated Icosahedron Solution

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

Credits

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St Joseph's College (SJC), Bengaluru
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Indian Institute of Information Technology (IIIT), Bhopal
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1 Icosahedral Edge Length of Truncated Icosahedron Calculators

Icosahedral Edge Length of Truncated Icosahedron
Go Icosahedral Edge Length of Truncated Icosahedron = 3*Edge Length of Truncated Icosahedron

12 Important Formulas of Truncated Icosahedron Calculators

Volume of Truncated Icosahedron given Total Surface Area
Go Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*(sqrt(Total Surface Area of Truncated Icosahedron/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))))^3
Surface to Volume Ratio of Truncated Icosahedron
Go Surface to Volume Ratio of Truncated Icosahedron = (12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Edge Length of Truncated Icosahedron*(125+(43*sqrt(5))))
Total Surface Area of Truncated Icosahedron given Volume
Go Total Surface Area of Truncated Icosahedron = 3*((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(2/3)*((10*sqrt(3))+sqrt(25+(10*sqrt(5))))
Total Surface Area of Truncated Icosahedron
Go Total Surface Area of Truncated Icosahedron = 3*Edge Length of Truncated Icosahedron^2*((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))))
Circumsphere Radius of Truncated Icosahedron
Go Circumsphere Radius of Truncated Icosahedron = (sqrt(58+(18*sqrt(5))))/4*Edge Length of Truncated Icosahedron
Midsphere Radius of Truncated Icosahedron given Icosahedral Edge Length
Go Midsphere Radius of Truncated Icosahedron = (1+sqrt(5))/4*Icosahedral Edge Length of Truncated Icosahedron
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)))
Midsphere Radius of Truncated Icosahedron
Go Midsphere Radius of Truncated Icosahedron = (3*(1+sqrt(5)))/4*Edge Length of Truncated Icosahedron
Volume of Truncated Icosahedron
Go Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*Edge Length of Truncated Icosahedron^3
Icosahedral Edge Length of Truncated Icosahedron
Go Icosahedral Edge Length of Truncated Icosahedron = 3*Edge Length of Truncated Icosahedron

Icosahedral Edge Length of Truncated Icosahedron Formula

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

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 Icosahedral Edge Length of Truncated Icosahedron?

Icosahedral Edge Length of Truncated Icosahedron calculator uses Icosahedral Edge Length of Truncated Icosahedron = 3*Edge Length of Truncated Icosahedron to calculate the Icosahedral Edge Length of Truncated Icosahedron, Icosahedral Edge Length of Truncated Icosahedron formula is defined as the length of any edge of the larger Icosahedron from which the corners are cut to form the Truncated Icosahedron. Icosahedral Edge Length of Truncated Icosahedron is denoted by le(Icosahedron) symbol.

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

FAQ

What is Icosahedral Edge Length of Truncated Icosahedron?
Icosahedral Edge Length of Truncated Icosahedron formula is defined as the length of any edge of the larger Icosahedron from which the corners are cut to form the Truncated Icosahedron and is represented as le(Icosahedron) = 3*le or Icosahedral Edge Length of Truncated Icosahedron = 3*Edge Length of Truncated Icosahedron. Edge Length of Truncated Icosahedron is the length of any edge of the Truncated Icosahedron.
How to calculate Icosahedral Edge Length of Truncated Icosahedron?
Icosahedral Edge Length of Truncated Icosahedron formula is defined as the length of any edge of the larger Icosahedron from which the corners are cut to form the Truncated Icosahedron is calculated using Icosahedral Edge Length of Truncated Icosahedron = 3*Edge Length of Truncated Icosahedron. To calculate Icosahedral Edge Length of Truncated Icosahedron, you need Edge Length of Truncated Icosahedron (le). With our tool, you need to enter the respective value for 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.
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