Click for info on using G&G with
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Graphs and Digraphs 
Groups
Projective Configurations-
Torus Maps -
Hexagon Maps -
Projective Maps -
Sphere Maps -
Polyhedra -
4D Polytopes -
Fractals -
n-Body Systems - Combinatorial Designs
Click below for various pictures of graphs constructed by G&G.
Graph Embeddings
The torus embeddings shown here were constructed by G&G's Torus Layout algorithm. The projective embeddings were constructed by G&G's Projective Layout algorithm, and then adjusted by hand. There are also Klein bottle embeddings constructed by G&G.
- The 6 embeddings of K5 on the torus.
- The 2 embeddings of K3,3 on the torus.
- The 5 embeddings of the Cube on the torus.
- The 4 embeddings of K6 on the torus.
- The embeddings of K5 and K6 on the projective plane.
- The embeddings of K3,3 and K3,4 on the projective plane.
- Some of the embeddings of K5 on the Klein bottle.
- More K5 and K3,3 embeddings on the Klein bottle.
Vertex-Transitive Graphs
A graph is vertex-transitive if every vertex can be mapped to any other vertex by some automorphism. Most of the drawings of the graphs shown here were constructed by G&G's Draw Symmetric algorithm.- The connected 8-point vertex-transitive graphs.
- The connected 9-point vertex-transitive graphs.
- The connected 10-point vertex-transitive graphs.
- The connected 11-point vertex-transitive graphs.
- The connected 12-point, 3-regular (18 edges) vertex-transitive graphs, and their complements.
- The connected 12-point, 4-regular (24 edges) vertex-transitive graphs, and their complements.
- The connected 12-point, 5-regular (30 edges) vertex-transitive graphs, and their complements.
- The connected 13-point vertex-transitive graphs.
- The connected 14-point 3-regular and 4-regular vertex-transitive graphs, and their complements.
- The connected 14-point 5-regular vertex-transitive graphs, and their complements.
- The connected 14-point 6-regular vertex-transitive graphs, and their complements.
- The connected 15-point 4-regular vertex-transitive graphs, and their complements.
- The connected 15-point 6-regular vertex-transitive graphs, and their complements.
- The connected 16-point vertex-transitive graphs, and their complements.
- The connected 17-point vertex-transitive graphs, and their complements.
- The connected 19-point vertex-transitive graphs, and their complements.
