Platonic Dimensions Calculator

(with concurrent inverse feature)


Type the input value in a box, click your mouse anywhere on the page other than a value likely to change(or press tab key) to complete the calculation. Modify entries then click your mouse elsewhere on the page (or press tab key) for the values to agree.

for smooth operation start with the default values
- -

Sphere

[3][5-2[5]] =

- CIRCUMSCRIBED / INSCRIBED -
- -

Dodecahedron

Dimensions

- SIDE - circle -
- -
- HEIGTH - area -
- - -

Icosahedron

Dimensions

- i_SIDE - i_circle -
- - -
- i_HEIGTH - i_area -
- - -

The variables that can be independent are in capitals.

For smooth operation start with the default values.


The formulas used here are derived at proof.txt and thus shown to be consistent. They are summarized at summary.txt . The circle variable above is the radius from the center of the solid of the circle inscribed in the pentagon face .



...calculators...
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(c)2000 copyright Wm.C.Corwin billc@issi1.com
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2000 November 22

Credits and references:
transl@sg.ur.ru has some units conversion factors that even ucum nbs nbs . ... do not have.