HEDRON

The full version of HEDRON is available for free.  Click here for further information.

The demo version can be downloaded here.   See below for restrictions.

"Hedron" generating a dodecadodecahedron

HEDRON can generate a great many polyhedra, including all the Uniform Polyhedra and Johnson Solids as well as many many others.

HEDRON takes as its input the net of the required polyhedron and uses this to generate a number of VRML files of the finished model.  These can be viewed using Sunrize. 
If you want to host VRML files online, I have used Scott Vorthmann's code available from vorth.github.io/vrml-revival/.  Both Sunrize and Scott both use X_ITE.

Examples of HEDRON input and output for the dodecadodecahedron (as shown above) are here:  Net, Solid model, Framework, Switchable, Animated, Molecular. HEDRON can also generate OFF files which can be input into Great Stella.

• Support for convex and starred polygonal faces and for rhombi
• Global convexity algorithm for convex polyhedra
• Tunable local convexity algorithms for non-convex polyhedra
• Various VRML output options
• OFF file output
• Isomorph generation
• Near-miss algorithm
• Settable orientation of the generated polyhedron
• Highlight and augmentation features: Example
• Support for 'Segmentochora': Example
• Generation of 'stress maps' for 'near-miss' polyhedra: Example
• Libraries of nets freely available

A restricted version of HEDRON is available from here:  Hedron.zip   It is a fully functioning program with no time restrictions except that it will only generate polyhedra with up to 12 vertices.  If you are using Windows 10 or 11 then click here.

A registration code for HEDRON is available for FREE.  Click here for further information.

For more information, HEDRON's help text is online and can be viewed here.

HEDRON on the web

In addition to the many models generated using HEDRON on this site, further HEDRON models can be found on the following sites:

• Ulrich Mikloweit's beautiful polyhedral models, 
• Dr Richard Klitzing's facetings of Uniform Polyhedra (hosted by Ulrich).
• Alex Doskey's Polyhedral Pages.  The 3-4-5 and some Stewart Toroids amongst others
• Maurice Starck's site with its images of all 92 Johnson Solids amongst others.
• "Twisted Domes" (PDF), Paul Gailiunas, as presented at Bridges 2004.
• Roger Kaufman's Polyhedra pages, and his Hedron Tools
• Mason Green's Polyhedra pages.

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