Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height Calculator

✖Pyramidal Height of Great Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron.ⓘ Pyramidal Height of Great Stellated Dodecahedron [h_Pyramid]

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✖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.ⓘ Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height [l_c(Pentagram)]

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Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))
l_c(Pentagram) = (2+sqrt(5))*(6*h_Pyramid)/(sqrt(3)*(3+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

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.
Pyramidal Height of Great Stellated Dodecahedron - (Measured in Meter) - Pyramidal Height of Great Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Pyramidal Height of Great Stellated Dodecahedron: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_c(Pentagram) = (2+sqrt(5))*(6*h_Pyramid)/(sqrt(3)*(3+sqrt(5))) --> (2+sqrt(5))*(6*15)/(sqrt(3)*(3+sqrt(5)))

Evaluating ... ...

l_c(Pentagram) = 42.0377561533222

STEP 3: Convert Result to Output's Unit

42.0377561533222 Meter --> No Conversion Required

FINAL ANSWER

42.0377561533222 ≈ 42.03776 Meter <-- Pentagram Chord of Great Stellated Dodecahedron

(Calculation completed in 00.004 seconds)

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< Pentagram Chord of Great Stellated Dodecahedron Calculators

Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height

LaTeX Go Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

Pentagram Chord of Great Stellated Dodecahedron given Circumradius

LaTeX Go Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

Pentagram Chord of Great Stellated Dodecahedron given Ridge Length

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

Pentagram Chord of Great Stellated Dodecahedron

LaTeX Go Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*Edge Length of Great Stellated Dodecahedron

Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height Formula

LaTeX Go

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 Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height?

Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height calculator uses Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))) to calculate the Pentagram Chord of Great Stellated Dodecahedron, Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron, calculated using its pyramidal height. Pentagram Chord of Great Stellated Dodecahedron is denoted by l_c(Pentagram) symbol.

How to calculate Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height using this online calculator? To use this online calculator for Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height, enter Pyramidal Height of Great Stellated Dodecahedron (h_Pyramid) and hit the calculate button. Here is how the Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height calculation can be explained with given input values -> 42.03776 = (2+sqrt(5))*(6*15)/(sqrt(3)*(3+sqrt(5))).

FAQ

What is Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height?

Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron, calculated using its pyramidal height and is represented as l_c(Pentagram) = (2+sqrt(5))*(6*h_Pyramid)/(sqrt(3)*(3+sqrt(5))) or Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))). Pyramidal Height of Great Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron.

How to calculate Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height?

Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron, calculated using its pyramidal height is calculated using Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))). To calculate Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height, you need Pyramidal Height of Great Stellated Dodecahedron (h_Pyramid). With our tool, you need to enter the respective value for Pyramidal Height 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 Pentagram Chord of Great Stellated Dodecahedron?

In this formula, Pentagram Chord of Great Stellated Dodecahedron uses Pyramidal Height of Great Stellated Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*Edge Length of Great Stellated Dodecahedron
Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

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