Edge Length of Snub Cube given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Snub Cube = Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C]))))
le = rm/(sqrt(1/(4*(2-[Tribonacci_C]))))
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
[Tribonacci_C] - Tribonacci constant Value Taken As 1.839286755214161
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
Edge Length of Snub Cube - (Measured in Meter) - Edge Length of Snub Cube is the length of any edge of the Snub Cube.
Midsphere Radius of Snub Cube - (Measured in Meter) - Midsphere Radius of Snub Cube is the radius of the sphere for which all the edges of the Snub Cube become a tangent line on that sphere.
STEP 1: Convert Input(s) to Base Unit
Midsphere Radius of Snub Cube: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = rm/(sqrt(1/(4*(2-[Tribonacci_C])))) --> 12/(sqrt(1/(4*(2-[Tribonacci_C]))))
Evaluating ... ...
le = 9.62137355041593
STEP 3: Convert Result to Output's Unit
9.62137355041593 Meter --> No Conversion Required
FINAL ANSWER
9.62137355041593 9.621374 Meter <-- Edge Length of Snub Cube
(Calculation completed in 00.004 seconds)

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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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Edge Length of Snub Cube Calculators

Edge Length of Snub Cube given Volume
​ LaTeX ​ Go Edge Length of Snub Cube = ((3*sqrt(2-[Tribonacci_C])*Volume of Snub Cube)/((3*sqrt([Tribonacci_C]-1))+(4*sqrt([Tribonacci_C]+1))))^(1/3)
Edge Length of Snub Cube given Circumsphere Radius
​ LaTeX ​ Go Edge Length of Snub Cube = Circumsphere Radius of Snub Cube/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C]))))
Edge Length of Snub Cube given Midsphere Radius
​ LaTeX ​ Go Edge Length of Snub Cube = Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C]))))
Edge Length of Snub Cube given Total Surface Area
​ LaTeX ​ Go Edge Length of Snub Cube = sqrt(Total Surface Area of Snub Cube/(2*(3+(4*sqrt(3)))))

Edge Length of Snub Cube given Midsphere Radius Formula

​LaTeX ​Go
Edge Length of Snub Cube = Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C]))))
le = rm/(sqrt(1/(4*(2-[Tribonacci_C]))))

What is a Snub Cube?

In geometry, the Snub Cube, or Snub Cuboctahedron, is an Archimedean solid with 38 faces - 6 squares and 32 equilateral triangles. It has 60 edges and 24 vertices. It is a chiral polyhedron. That is, it has two distinct forms, which are mirror images (or "enantiomorphs") of each other. The union of both forms is a compound of two Snub Cubes, and the convex hull of both sets of vertices is a truncated cuboctahedron. Kepler first named it in Latin as cubus simus in 1619 in his Harmonices Mundi. H. S. M. Coxeter, noting it could be derived equally from the octahedron as the cube, called it Snub Cuboctahedron.

How to Calculate Edge Length of Snub Cube given Midsphere Radius?

Edge Length of Snub Cube given Midsphere Radius calculator uses Edge Length of Snub Cube = Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C])))) to calculate the Edge Length of Snub Cube, Edge Length of Snub Cube given Midsphere Radius formula is defined as the length of any edge of the Snub Cube, and calculated using the midsphere radius of the Snub Cube. Edge Length of Snub Cube is denoted by le symbol.

How to calculate Edge Length of Snub Cube given Midsphere Radius using this online calculator? To use this online calculator for Edge Length of Snub Cube given Midsphere Radius, enter Midsphere Radius of Snub Cube (rm) and hit the calculate button. Here is how the Edge Length of Snub Cube given Midsphere Radius calculation can be explained with given input values -> 9.621374 = 12/(sqrt(1/(4*(2-[Tribonacci_C])))).

FAQ

What is Edge Length of Snub Cube given Midsphere Radius?
Edge Length of Snub Cube given Midsphere Radius formula is defined as the length of any edge of the Snub Cube, and calculated using the midsphere radius of the Snub Cube and is represented as le = rm/(sqrt(1/(4*(2-[Tribonacci_C])))) or Edge Length of Snub Cube = Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C])))). Midsphere Radius of Snub Cube is the radius of the sphere for which all the edges of the Snub Cube become a tangent line on that sphere.
How to calculate Edge Length of Snub Cube given Midsphere Radius?
Edge Length of Snub Cube given Midsphere Radius formula is defined as the length of any edge of the Snub Cube, and calculated using the midsphere radius of the Snub Cube is calculated using Edge Length of Snub Cube = Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C])))). To calculate Edge Length of Snub Cube given Midsphere Radius, you need Midsphere Radius of Snub Cube (rm). With our tool, you need to enter the respective value for Midsphere Radius of Snub Cube 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 Snub Cube?
In this formula, Edge Length of Snub Cube uses Midsphere Radius of Snub Cube. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Edge Length of Snub Cube = sqrt(Total Surface Area of Snub Cube/(2*(3+(4*sqrt(3)))))
  • Edge Length of Snub Cube = ((3*sqrt(2-[Tribonacci_C])*Volume of Snub Cube)/((3*sqrt([Tribonacci_C]-1))+(4*sqrt([Tribonacci_C]+1))))^(1/3)
  • Edge Length of Snub Cube = Circumsphere Radius of Snub Cube/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C]))))
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