The 30-Rhombus Symmetric Solid Object HomePage

On the 30-Rhombus Symmetric Solid Object

by Frank C. Fung ( 1st published in February, 2013. )

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Summary and Key Findings :

Table of Content

Table Of Content
Part I --- Introduction and Preliminaries
Section IIntroduction
Part II --- Constructing the [ 30-Rhombus Symmetric Solid Object ]
Section IIOutline on the Method of Construction
Section IIIA Quick Review of the Pentagon
Section IVStructural Dimensioning of the Dodecahedron
Section VA Quick Review of the Equilateral Triangle
Section VIStructural Dimensioning of the Icosahedron
Section VIIA Quick Review of the Rhombus
Section VIIIFirst Attempt at the [ 30-Rhombus Symmetric Solid Object ]
Section IXSecond Attempt at the [ 30-Rhombus Symmetric Solid Object ]
Section XThird Attempt at the [ 30-Rhombus Symmetric Solid Object ]
Part III --- Properties of the[ 30-Rhombus Symmetric Solid Object ]
Section XI[ Axis of Penta-Symmetry ] within the [ 30-Rhombus S-S-O ]
Section XII[ Axis of Bi-Symmetry ] within the [ 30-Rhombus S-S-O ]
Section XIIIFive (5) [ Hexa-Symmetric Structures ] within the [ 30-Rhombus S-S-O ]
Section XIVSix (6) sets of Parallel Edgess within the [ 30-Rhombus S-S-O ]
Section XV[ Axis of Tri-Symmetry ] within the [ 30-Rhombus S-S-O ]
Section XVICo-Planar Axis within the [ 30-Rhombus S-S-O ]
Part IV --- Calculating the Tangent of 9 degrees
Section XVIIReason for calculating the [ Tangent of 9-degrees ]
Section XVIIIBringing-in the Tangent Addition Formula
Section XIXSetting up the Equation for [ Tangent of 9-degrees ]
Section XXSolving the Equation for the [ Tangent of 9-degrees ]
Part V --- The [ 12-Rhombus Symmetric Solid Object ]
Section XXIConstructing the [ 12-Rhombus Symmetric Solid Object ]
Part VI --- Miscelleneous Related Issues
Section XXIIInvestigating a different kind of Hexa-Symmetry
Part VII --- Concluding Remarks
Section XXIIIConcluding Remarks

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Original dated 2013-2-04