Polyhedra

by Crys in Modifier Setups


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".

new v1.5 (jan. 2024) : bug correction and new tools :

1) Bug correction
owing to your feedbacks, some bugs have been fixed :
a) polyhedral faces.
For many of the polyhedrons in the addon, faces were defined in non-uniform ways (sometimes clockwise,sometimes anti-clockwise), resulting in normals for faces with opposite directions (see fig below).This bug is now fixed and all faces are homogeneously defined


b) Great Icosahedron
This polyedre had an active "wireframe mode" that could not be modified. The node tree has been modified and the bug is now fixed.

2) New tools :
2 new tools have been added :
a) « Show normal » which is the node I have used to fix theproblem described above and may be of interest to those wishing to "see" the normal of the faces ofany polyhedral.


b) fractalize : a node which allow to fractalize any polyedra

the parameters for this node are ;
- Geometry : the mesh will serve as the base; fractalization will take place on the faces of this base
- object : the geometry which will be fractalized (can be identical to the Geometry)
- scale : applied to new elements at each iteration
- Iteration : number of iteration

new v1.4 (dec. 2023) : Tools

See video introducing the update

This new update includes a series of tools for modulating polyhedral shapes
Those are :
1) Explode : a node which allow to split the different faces and to move them in a "explosion" way
2) Tesserac : Tesserac is the four-dimensional analogue of the cube. Just as a cube is a three-dimensional object with six square faces, a tesseract is a four-dimensional object with eight cubical cells. It is also known as a hypercube or an 8-cell.
3) mesh to wire : a simple node which wire-to-wire the mesh
4) poke&Twist : this main node gives several options for modifing the polyedra
- Lessthan : apply transformation on faces having less vertices than the input value
- Morethan : apply transformation on faces having more vertices than the input value
- Uniformangle : rotate selected faces uniformely
- Sep : same effect as "Explode" (see above)
- Twisted : apply a twist effect on the selected faces (high resolution gives nicer results)
- resolution : subdivision level of the selected faces
- Pokeheight : Poke selected faces and extrude them - Poke scale : scale of the top of the extruded faces - WireStarttingPoly : transform the initial polyedra in a wiframe mode

new v1.3 (sept. 2023) : The Trapezohedron

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): Lastly, 'z' 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).

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

Polyhedra is 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:

Thesedifferent nodes allow to build in a fast and modular way the mostcommon coordination polyhedra. To use them, just drag and drop intothe “geometry node” window

Descriptionof the parameters:

All nodes have the same structure. The example below is anillustration on the octahedron. The node is divided into severalparts, a part concerning the central atom, a part concerning theligands, a part on the polyhedral and finally a part on a "wireframe"mode

 

scale :scale value on the final object

###central atom part

Radius :radius of the central atom

Material: material of the central atom

Hide(checkbox) : possibility to hide the atom

Switch withObj : Possibility to have any object instead of a sphere

(see. below)

###Ligand

Radius :radius of the ligand atoms

Material: material of the ligands

Hide(checkbox) : possibility to hide the atoms

Switch withObj : Possibility to have any object instead of a sphere

(see below)

###Link

Link radius: radius of the bond between the central atom and the ligands

Link material: material of the bonds

Hide Link: possibility to hide the bonds

length offset: change the length of the bonds with coupled atoms

length change: change the length of the bonds with uncoupled atoms

Binary modecolor (checkbox) : for the chemistry representation

Fill Caps(checkbox) : if ligands are hidden, itallows to fill the link

###Polyedra

Material: material of the polyedra

Hide(checkbox) : possibility to hide the polyedra

###Wireframe

wireframe(checkbox) : show or not the polyedra in wireframe mode

Sales 10+
Published over 1 year ago
Blender Version 3.6, 4.0
Render Engine Used cycles, eevee
License Royalty Free
Have questions before purchasing?

Contact the Creator with your questions right now.

Login to Message