THE FEUTEX TOOLKIT

Platonic Solid Comparison

Compare the volumes of four regular Platonic solids sharing one edge length.

Geometry workspace● Runs in your browser

01 Your input

Common edge lengthlength

02 Your result

View or copy raw result data

Result data

Formula

Tetra Volume = a**3/(6*sqrt(2)); Octa Volume = sqrt(2)*a**3/3; Dodeca Volume = (15+7*sqrt(5))*a**3/4; Icosa Volume = 5*(3+sqrt(5))*a**3/12

Sources and model references

How to use this tool

Enter the labeled inputs using consistent units.
Check the stated assumptions and calculate.
Review each output and compare another input scenario.

Try this example

{
  "a": 2
}

Accuracy and scope

Compare regular solids at the same edge length; not arbitrary polyhedra. Finite floating-point arithmetic; results can lose precision near singular or extreme inputs.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.