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Conclusion |
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The Platonic and Archimedean solids are uniquely interrelated as a result of |
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commonly shared
symmetry elements; juxtapositioning of faces, vertices, and edges; |
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and volumetric
similarities. As a result they are inter-transformable via inscription, |
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compounding,
truncation, and sectioning and rearrangement. And they can be |
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packed together
in a variety of combinations to fill space while maintaining a strict |
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ratio of tetrahedral to octahedral equivalent volumes.
Thus the ordering principles |
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inherent to the structure of space
offers different
forms the potential to transform |
themselves into a myriad of diverse shapes while
maintaining uniformity in the |
aggregate. |
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In the following lesson
you will see how these abstract geometric properties find |
their real life embodiment in the way that the atoms of elements and
minerals pack |
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together structurally. This in turn determines their physical and
chemical properties. |
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Geometry rules! - Conclusion |
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