Midsphere Radius of Snub Cube given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Snub Cube = sqrt(1/(4*(2-[Tribonacci_C])))*Circumsphere Radius of Snub Cube/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C]))))
rm = sqrt(1/(4*(2-[Tribonacci_C])))*rc/(sqrt((3-[Tribonacci_C])/(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
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.
Circumsphere Radius of Snub Cube - (Measured in Meter) - Circumsphere Radius of Snub Cube is the radius of the sphere that contains the Snub Cube in such a way that all the vertices are lying on the sphere.
STEP 1: Convert Input(s) to Base Unit
Circumsphere Radius of Snub Cube: 13 Meter --> 13 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = sqrt(1/(4*(2-[Tribonacci_C])))*rc/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))) --> sqrt(1/(4*(2-[Tribonacci_C])))*13/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C]))))
Evaluating ... ...
rm = 12.0664879138124
STEP 3: Convert Result to Output's Unit
12.0664879138124 Meter --> No Conversion Required
FINAL ANSWER
12.0664879138124 12.06649 Meter <-- Midsphere Radius of Snub Cube
(Calculation completed in 00.004 seconds)

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Midsphere Radius of Snub Cube Calculators

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

Midsphere Radius of Snub Cube given Circumsphere Radius Formula

​LaTeX ​Go
Midsphere Radius of Snub Cube = sqrt(1/(4*(2-[Tribonacci_C])))*Circumsphere Radius of Snub Cube/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C]))))
rm = sqrt(1/(4*(2-[Tribonacci_C])))*rc/(sqrt((3-[Tribonacci_C])/(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 Midsphere Radius of Snub Cube given Circumsphere Radius?

Midsphere Radius of Snub Cube given Circumsphere Radius calculator uses Midsphere Radius of Snub Cube = sqrt(1/(4*(2-[Tribonacci_C])))*Circumsphere Radius of Snub Cube/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))) to calculate the Midsphere Radius of Snub Cube, Midsphere Radius of Snub Cube given Circumsphere Radius formula is defined as the radius of the sphere for which all the edges of the Snub Cube become a tangent line on that sphere, and calculated using the circumsphere radius of the Snub Cube. Midsphere Radius of Snub Cube is denoted by rm symbol.

How to calculate Midsphere Radius of Snub Cube given Circumsphere Radius using this online calculator? To use this online calculator for Midsphere Radius of Snub Cube given Circumsphere Radius, enter Circumsphere Radius of Snub Cube (rc) and hit the calculate button. Here is how the Midsphere Radius of Snub Cube given Circumsphere Radius calculation can be explained with given input values -> 12.06649 = sqrt(1/(4*(2-[Tribonacci_C])))*13/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))).

FAQ

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