Ridge Length of Great Stellated Dodecahedron given Pentagram Chord Solution

STEP 0: Pre-Calculation Summary
Formula Used
Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))
lRidge = (1+sqrt(5))/2*lc(Pentagram)/(2+sqrt(5))
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
Ridge Length of Great Stellated Dodecahedron - (Measured in Meter) - Ridge Length of Great Stellated Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron.
Pentagram Chord of Great Stellated Dodecahedron - (Measured in Meter) - Pentagram Chord of Great Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron.
STEP 1: Convert Input(s) to Base Unit
Pentagram Chord of Great Stellated Dodecahedron: 42 Meter --> 42 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lRidge = (1+sqrt(5))/2*lc(Pentagram)/(2+sqrt(5)) --> (1+sqrt(5))/2*42/(2+sqrt(5))
Evaluating ... ...
lRidge = 16.0425724725044
STEP 3: Convert Result to Output's Unit
16.0425724725044 Meter --> No Conversion Required
FINAL ANSWER
16.0425724725044 16.04257 Meter <-- Ridge Length of Great Stellated Dodecahedron
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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7 Ridge Length of Great Stellated Dodecahedron Calculators

Ridge Length of Great Stellated Dodecahedron given Total Surface Area
Go Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5)))))
Ridge Length of Great Stellated Dodecahedron given Surface to Volume Ratio
Go Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron)
Ridge Length of Great Stellated Dodecahedron given Pyramidal Height
Go Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))
Ridge Length of Great Stellated Dodecahedron given Circumradius
Go Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))
Ridge Length of Great Stellated Dodecahedron given Volume
Go Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3)
Ridge Length of Great Stellated Dodecahedron given Pentagram Chord
Go Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))
Ridge Length of Great Stellated Dodecahedron
Go Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*Edge Length of Great Stellated Dodecahedron

Ridge Length of Great Stellated Dodecahedron given Pentagram Chord Formula

Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))
lRidge = (1+sqrt(5))/2*lc(Pentagram)/(2+sqrt(5))

What is Great Stellated Dodecahedron?

The Great Stellated Dodecahedron is a Kepler-Poinsot polyhedron, with Schläfli symbol {​⁵⁄₂,3}. It is one of four nonconvex regular polyhedra. It is composed of 12 intersecting pentagrammic faces, with three pentagrams meeting at each vertex.

How to Calculate Ridge Length of Great Stellated Dodecahedron given Pentagram Chord?

Ridge Length of Great Stellated Dodecahedron given Pentagram Chord calculator uses Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5)) to calculate the Ridge Length of Great Stellated Dodecahedron, Ridge Length of Great Stellated Dodecahedron given Pentagram Chord formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron, calculated using its pentagram chord. Ridge Length of Great Stellated Dodecahedron is denoted by lRidge symbol.

How to calculate Ridge Length of Great Stellated Dodecahedron given Pentagram Chord using this online calculator? To use this online calculator for Ridge Length of Great Stellated Dodecahedron given Pentagram Chord, enter Pentagram Chord of Great Stellated Dodecahedron (lc(Pentagram)) and hit the calculate button. Here is how the Ridge Length of Great Stellated Dodecahedron given Pentagram Chord calculation can be explained with given input values -> 16.04257 = (1+sqrt(5))/2*42/(2+sqrt(5)).

FAQ

What is Ridge Length of Great Stellated Dodecahedron given Pentagram Chord?
Ridge Length of Great Stellated Dodecahedron given Pentagram Chord formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron, calculated using its pentagram chord and is represented as lRidge = (1+sqrt(5))/2*lc(Pentagram)/(2+sqrt(5)) or Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5)). Pentagram Chord of Great Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron.
How to calculate Ridge Length of Great Stellated Dodecahedron given Pentagram Chord?
Ridge Length of Great Stellated Dodecahedron given Pentagram Chord formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron, calculated using its pentagram chord is calculated using Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5)). To calculate Ridge Length of Great Stellated Dodecahedron given Pentagram Chord, you need Pentagram Chord of Great Stellated Dodecahedron (lc(Pentagram)). With our tool, you need to enter the respective value for Pentagram Chord of Great Stellated Dodecahedron 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 Ridge Length of Great Stellated Dodecahedron?
In this formula, Ridge Length of Great Stellated Dodecahedron uses Pentagram Chord of Great Stellated Dodecahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*Edge Length of Great Stellated Dodecahedron
  • Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))
  • Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))
  • Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5)))))
  • Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3)
  • Ridge Length of Great Stellated Dodecahedron = (1+sqrt(5))/2*(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron)
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