diff --git a/archimedean.cpp b/archimedean.cpp
index 546da968..5a7c3de4 100644
--- a/archimedean.cpp
+++ b/archimedean.cpp
@@ -89,6 +89,8 @@ struct archimedean_tiling {
 
   bool get_step_values(int& steps, int& single_step);
 
+  ld dual_tile_area();
+
   transmatrix adjcell_matrix(heptagon *h, int d);
   
   ld scale();
@@ -1588,6 +1590,14 @@ EX int get_graphical_id(cell *c) {
   return tid;
   }
 
+ld archimedean_tiling::dual_tile_area() {
+  // we need this only in Euclidean for now
+  if(get_geometry().kind != gcEuclid) throw hr_exception("dual_tile_area only implemented in Euclidean");
+  ld total = 0;
+  for(auto r: inradius) total += r;
+  return total * edgelength / 2;
+  }
+
 bool archimedean_tiling::get_step_values(int& steps, int& single_step) {
 
   int nom = -2;
diff --git a/geometry.cpp b/geometry.cpp
index 30cc65fb..5da3b4e5 100644
--- a/geometry.cpp
+++ b/geometry.cpp
@@ -733,7 +733,7 @@ void geometry_information::prepare_basics() {
   #if CAP_BT
   else if(bt::in()) bt::create_faces();
   #endif
-  else if(nil) nilv::create_faces();
+  else if(nil && !mtwisted) nilv::create_faces();
   #endif
   
   scalefactor = crossf / hcrossf7;
@@ -809,7 +809,7 @@ void geometry_information::prepare_basics() {
   
   plevel = vid.plevel_factor * scalefactor;
   single_step = 1;
-  if(mhybrid && !mproduct) {
+  if(mtwisted && ginf[hybrid::underlying].cclass != gcEuclid) {
     #if CAP_ARCM
     if(hybrid::underlying == gArchimedean) 
       arcm::current.get_step_values(psl_steps, single_step);
@@ -825,11 +825,14 @@ void geometry_information::prepare_basics() {
       }
     DEBB(DF_GEOM | DF_POLY, ("steps = ", psl_steps, " / ", single_step));
     plevel = M_PI * single_step / psl_steps;
-
-    if(hybrid::underlying == gEuclid && PURE) {
-      cgi.plevel = sqrt(3)/4.;
-      single_step = 1;
-      }
+    }
+  if(mtwisted && ginf[hybrid::underlying].cclass == gcEuclid) {
+    single_step = 1;
+    if(hybrid::underlying == gArchimedean) plevel = arcm::current.dual_tile_area();
+    if(hybrid::underlying == gEuclid && PURE) plevel = sqrt(3)/4.;
+    if(hybrid::underlying == gEuclidSquare && PURE) plevel = 1;
+    if(hybrid::underlying == gEuclidSquare && BITRUNCATED) plevel = 0.25;
+    if(hybrid::underlying == gEuclid && BITRUNCATED) plevel = sqrt(3)/12.;
     }
   
   set_sibling_limit();