ENH: Simplify solving logic

This is a combination of multiple WIP commits:

- Semantic group names - G, H
- Simplify fan<>()
- Template int deduction
- Remove _recontext_gens
- Move g_gens logic into caller
- Move subgroup logic into caller
- Move recontext logic into coller
- Move _generators, _recontext_gens to anonymous namespace
- Simplify hull, tile

vis/src/comps.hpp

@@ -22,9 +22,6 @@ namespace vis {
         tc::Group group;
         vec5 root;
         vec3 color;
-
-        std::vector<std::vector<size_t>> exclude {{0, 1, 2}};
-        std::vector<std::vector<size_t>> include = combinations(_generators(group), 3);
     };
 
     struct VBOs {
@@ -62,9 +59,13 @@ namespace vis {
             vbos.verts.put(lower.colwise().begin(), lower.colwise().end());
 
             // todo generate all, then mask using glMultiDraw.
-            const size_t N = 4;
+            const Eigen::Index N = 4;
 
-            auto inds = merge<N>(hull<N>(group.group, group.include, group.exclude));
+            auto tiles = hull<N>(group.group);
+
+            tiles.erase(tiles.begin());  // remove {0, 1, 2} cells
+
+            auto inds = merge<N>(tiles);
 
             vbos.ibo.put(inds.colwise().begin(), inds.colwise().end());
         }

vis/src/main.cpp

@@ -140,14 +140,7 @@ int run(GLFWwindow* window, ImGuiContext* ctx) {
         entity,
         tc::schlafli({5, 3, 3, 2}),
         vec5{0.80, 0.09, 0.09, 0.09, 0.09},
-        vec3{0.90, 0.90, 0.90},
-        std::vector<std::vector<size_t>>{
-            {0, 1, 2},
-
-            {0, 3, 4},
-            {1, 3, 4},
-            {2, 3, 4},
-        }
+        vec3{0.90, 0.90, 0.90}
     );
     registry.emplace<vis::VBOs>(entity);