radius  


analytical numerical evaluation 

graphical interpretation 

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doe radi: just another tryworse or better? 

Skyscraperskin effects rangeselection by underlining. A good and simple version suitable for explanations at school, since underlining can be repeated.
Representing numbers based at GoldenRatio² allows a fairly short notation for dodecahedron radi and icosahedron radi.
In mathematics the following notation form is commonly used for numbers with a different base:
For example "5" written in binary base gives 101_{2} = 5. This means our "number base", has changed from default base to binary base.
Using now the baseform with base GoldenRatio², denoted as φ², gives 101_{φ²} = φ^{4} + 1. For the following two tables ...
"number base" → "GoldenRatio²" → φ² = (3+√5)/2 ≈ 2.618…
"dodecahedron radius from body center to face center" → doeBF = √1000_{φ²}
"dodecahedron radius from body center to edge center" → doeBE = √1100_{φ²}
"dodecahedron radius from body center to unit center" → doeBU = √1110_{φ²}
"dodecahedron radius from body center to vertex center" → doeBV = √1111_{φ²}
"dodecahedron radius from face center to edge center" → doeFE = √0100_{φ²}
"dodecahedron radius from face center to unit center" → doeFU = √0110_{φ²}
"dodecahedron radius from face center to vertex center" → doeFV = √0111_{φ²}
"dodecahedron radius from edge center to unit center" → doeEU = √0010_{φ²}
"dodecahedron radius from edge center to vertex center" → doeEV = √0011_{φ²}
"dodecahedron radius from unit center to vertex center" → doeUV = √0001_{φ²}
"icosahedron radius from body center to face center" → ikeBF = √1000_{φ²}
"icosahedron radius from body center to edge center" → ikeBE = √1010_{φ²}
"icosahedron radius from body center to unit center" → ikeBU = √1110_{φ²}
"icosahedron radius from body center to vertex center" → ikeBV = √1111_{φ²}
"icosahedron radius from face center to edge center" → ikeFE = √0010_{φ²}
"icosahedron radius from face center to unit center" → ikeFU = √0110_{φ²}
"icosahedron radius from face center to vertex center" → ikeFV = √0111_{φ²}
"icosahedron radius from edge center to unit center" → ikeEU = √0100_{φ²}
"icosahedron radius from edge center to vertex center" → ikeEV = √0101_{φ²}
"icosahedron radius from unit center to vertex center" → ikeUV = √0001_{φ²}