The 32 Crystallographic Point Groups ("minimal" set)

Models of all 32 Crystal Classes (= crystallographic point groups) for teaching or practice. Pre-oriented for best adhesion and overhang quality.

There are (almost) no overlaps with my other sets, you can freely mix&match shapes or use them interchangeably. This set is designed with the minimal number of forms for each point group (see below). I would consider this too difficult for a classroom exercise, it is geared more towards explaining directions and face indeces. For this reason I did not obfuscate the model file names here, and provide a pdf file containing the point group assignment.

Check out my other symmetry models:

Didactic set
(Pseudo-)Minerals set
Molecules set
Real Life Set
Simple Set
Spheres (Pac-Man)
Spheres (rings)
Teddys

Things I designed differently in comparison to the other sets:

- this set uses the minimal number of forms / faces
- face indices were kept as small as possible (max = 3)
- as a result some shapes are rather pointy
- let me know if you find any mistakes, or if you have an idea where I can reduce the number of forms any further (if it improves the set I will adapt any change)
- individual models are all scaled to the same volume

List of used crystal forms:

1: {110}, {-110}, {001}, {0-1-1}
-1: {101}, {010}, {001}
2: {111}, {0-10}, {-100}
m: {100}, {-1-10}, {001}, {00-1}
2/m: {110}, {001}
222: {111}
mm2: {111}, {01-1}
mmm: {111}
4: {211}, {11-1}
-4: {111}, {210}
4/m: {111}, {210}
422: {121}
4mm: {00-1}, {101}
-42m: {111}
4/mmm: {111}
3: {211}, {11-1}
-3: {111}, {210}
32: {101}, {111}
3m: {101}, {00-1}
-3m: {101}
6: {211}, {11-1}
-6: {111}, {210}
6/m: {111}, {210}
622: {210}
6mm: {101}, {00-1}
-6m2: {111}, {100}
6/mmm: {101}
23: {321}
m-3: {210}
432: {321}
-43m: {111}
m-3m: {100}

Notes on printing:

Best stick with the print orientations I provide. I suggest switching on supports (on buildplate), because due to the above-mentioned design boundaries some faces have problematic overhangs.