Install :

Just put (or replace) the both the blend file and the assets.cats.txt file into a directory and connect it through the preferences : Edit/preference/File Paths and click on "add Asset Library".

The trapezohedron is a fascinating and often overlooked geometric shape that possesses a unique blend of symmetry and complexity. Its name, derived from the Greek words "trapeza" meaning "table" and "hedra"meaning "face," hints at its distinctive tabletop-like appearance. This polyhedron is a three-dimensional figure characterized by a set of parallel faces, each of which is a trapezoid – a quadrilateral with one pair of opposite sides parallel. While not as commonly encountered as other geometric forms, the trapezohedron plays a crucial role in mathematics, crystallography, and various engineering applications.

This new update introduces a single node for the modular representation of all trapezohedra, distinguishing itself with the addition of three new parameters compared to previous versions:

- Order (n): This parameter corresponds to the order of the trapezohedron and determines the total number of faces, which equals 2n.

- Radius: This parameter signifies the radius of the base plane.

- Height (z): it represents the height of the polyhedron."

new v1.2 (june 2023) : The Kepler–Poinsot polyhedron

The Kepler-Poinsot polyhedra are now available through new nodes. These polyhedra are all convex and have unique symmetries. They were first described by Kepler in the early 17th century, and Poinsot later studied them in detail, leading to their joint attribution. Kepler-Poinsot polyhedra have fascinated mathematicians and have been the subject of study in geometry and crystallography.

There are four Kepler-Poinsot polyhedra, each of which is constructed by combining regular polygons in a specific way. Those are :
- The Small Stellated Dodecahedron
- The Great Stellated Dodecahedron
- The Great Dodecahedron
- The Small Dodecahedron

Of course, the node structure is always the same with the possiblities to change ligands, to see only links, only polyedra, and so on.... (see video below).

in addition, the asset structure has been modified to make the node library more user-friendly

new v1.1.1 (feb. 2023) : The last nodes of the archimedean solids

Two new nodes completing the series of archimian solids have been implemented. These are the truncated icosidodecahedron and the rhombicosidodecaheron.

new v1.1 (nov. 2022) : The archimedean solids

11 new nodes corresponding to the archimedean polyhedra have been added. Those allow to draw quickly the archimedean solids (except one which is still under preparation! :) ) in a same way as previous nodes. for the update, just replace the v1.0 file with the v1.1 file

The new nodes are :

truncated tetrahedron
truncated cube
rhombicuboctahedron
snub-cube (2 chiral shapes)
truncated octahedron
icosidodecahedron
truncated cuboctahedron
snub-dodecahedron
truncated dodecahedron
truncated icosahedron

all these new nodes have the same structure as the nodes of the first version, thus multiplying the rendering possibilities ; eg.

v1.0 : Coordination geometry

Polyhedrais a procedural Geometry Node Addon for creating most coordination polyhedra. This is not only for professionals or students of condensed matter but also for those who appreciate the beauty of symmetry! This addon allows also to create scifi objects

Features

there are currently13 different geometry nodes (more in the further update)corresponding to the most common coordinations:

These different nodes allow to build in a fast and modular way the most common coordination polyhedra. To use them, just drag and drop into the “geometry node” window

Descriptionof the parameters:

All nodes have the same structure. The example below is an illustration on the octahedron. The node is divided into several parts, a part concerning the central atom, a part concerning the ligands, a part on the polyhedral and finally a part on a "wireframe"mode