diff --git a/fractal_dimension/circle_counting_new/data/dodecahedron.txt b/fractal_dimension/circle_counting_new/data/dodecahedron.txt
index 8b9436d..155d8e1 100644
--- a/fractal_dimension/circle_counting_new/data/dodecahedron.txt
+++ b/fractal_dimension/circle_counting_new/data/dodecahedron.txt
@@ -1,313 +1,119 @@
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 {{0, 13, 8, 9, 14}, {0, 14, 3, 7, 15}, {0, 15, 6, 2, 13}, {1, 4, 10, 
   11, 5}, {1, 5, 19, 17, 12}, {1, 12, 16, 18, 4}, {2, 6, 10, 4, 
diff --git a/fractal_dimension/circle_counting_new/data/icosahedron.txt b/fractal_dimension/circle_counting_new/data/icosahedron.txt
index 6f61c12..40259e7 100644
--- a/fractal_dimension/circle_counting_new/data/icosahedron.txt
+++ b/fractal_dimension/circle_counting_new/data/icosahedron.txt
@@ -1,250 +1,37 @@
-{{{1., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.}, {0., 1., 0., 0., 
-   0., 0., 0., 0., 0., 0., 0., 0.}, {11.0902, 9.47214, 0., 0., 0., 0.,
-    0., 0., -1.61803, 9.47214, 0., 0.}, {5.23607, 2.61803, 0., 0., 0.,
-    0., 0., 0., -0.618034, 4.23607, 0., 0.}, {6.8541, 6.8541, 0., 0., 
-   0., 0., 0., 0., -1., 5.23607, 0., 0.}, {5.23607, 4.23607, 0., 0., 
-   0., 0., 0., 0., -0.618034, 2.61803, 0., 0.}, {12.0902, 8.47214, 0.,
-    0., 0., 0., 0., 0., -1.61803, 9.47214, 0., 0.}, {6.8541, 5.23607, 
-   0., 0., 0., 0., 0., 0., -1., 6.8541, 0., 0.}, {8.47214, 5.23607, 
-   0., 0., 0., 0., 0., 0., -1., 5.23607, 0., 0.}, {0., 0., 0., 0., 0.,
-    0., 0., 0., 0., 1., 0., 0.}, {12.0902, 9.47214, 0., 0., 0., 0., 
-   0., 0., -1.61803, 8.47214, 0., 0.}, {3.61803, 4.23607, 0., 0., 0., 
-   0., 0., 0., -0.618034, 4.23607, 0., 0.}}, {{1., 0., 0., 0., 0., 0.,
-    0., 0., 0., 0., 0., 0.}, {8.47214, 0., 0., 6.8541, 0., 0., 0., 0.,
-    4.23607, -1.61803, 0., 0.}, {11.0902, 0., 0., 12.0902, 0., 0., 0.,
-    0., 7.8541, -2.61803, 0., 0.}, {0., 0., 0., 1., 0., 0., 0., 0., 
-   0., 0., 0., 0.}, {12.0902, 0., 0., 11.0902, 0., 0., 0., 0., 
-   7.8541, -2.61803, 0., 0.}, {5.23607, 0., 0., 3.61803, 0., 0., 0., 
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-   0., 3.61803, -1., 0., 0.}, {6.8541, 0., 0., 8.47214, 0., 0., 0., 
-   0., 4.23607, -1.61803, 0., 0.}, {0., 0., 0., 0., 0., 0., 0., 0., 
-   1., 0., 0., 0.}, {5.23607, 0., 0., 5.23607, 0., 0., 0., 0., 
-   2., -1., 0., 0.}, {6.8541, 0., 0., 6.8541, 0., 0., 0., 0., 
-   5.8541, -1.61803, 0., 0.}, {12.0902, 0., 0., 12.0902, 0., 0., 0., 
-   0., 6.8541, -2.61803, 0., 0.}}, {{1., 0., 0., 0., 0., 0., 0., 0., 
-   0., 0., 0., 0.}, {0., 1., 0., 0., 0., 0., 0., 0., 0., 0., 0., 
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-   0.}, {0., 0., 0., 0., 0., 1., 0., 0., 0., 0., 0., 0.}, {7.8541, 
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-   0.}, {7.8541, 12.0902, 0., 0., -2.61803, 11.0902, 0., 0., 0., 0., 
-   0., 0.}, {3.61803, 3.61803, 0., 0., -1., 5.23607, 0., 0., 0., 0., 
-   0., 0.}, {3.61803, 5.23607, 0., 0., -1., 3.61803, 0., 0., 0., 0., 
-   0., 0.}, {4.23607, 6.8541, 0., 0., -1.61803, 8.47214, 0., 0., 0., 
-   0., 0., 0.}, {4.23607, 8.47214, 0., 0., -1.61803, 6.8541, 0., 0., 
-   0., 0., 0., 0.}}, {{1., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 
-   0.}, {3.61803, 0., 0., 0., 0., 5.23607, 0., 0., 3.61803, 0., -1., 
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-   0., -2.61803, 0.}}, {{1., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 
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-   0., 9.47214}, {-1., 6.8541, 0., 0., 5.23607, 0., 0., 0., 0., 0., 
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diff --git a/fractal_dimension/circle_counting_new/data/square_triangle.txt b/fractal_dimension/circle_counting_new/data/square_triangle.txt
index bc18653..8ed7841 100644
--- a/fractal_dimension/circle_counting_new/data/square_triangle.txt
+++ b/fractal_dimension/circle_counting_new/data/square_triangle.txt
@@ -1,463 +1,122 @@
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-{{583.2511030315829`, 420.1029866690154`, -462.9475080162928`,
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-{508.4532627352364`, 363.43746374469583`, -401.20885666688855`,
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--56.15767582208764`, 19.37126805472377`}, {84.36390227718857`,
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-{560.8770908261515`, 401.3803578262633`, -444.560263626376`,
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--406.0751574277024`, 154.40895950421316`}, {506.5163913212939`,
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-{510.33878885103286`, 370.2953418298175`, -405.73340424433763`,
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--192.46155018671652`, 70.84760387862883`}, {253.87531419006245`,
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-481.2792058399525`, -529.6370929005627`, 202.76839695889214`},
-{732.23654551348`, 523.7859969101271`, -579.4495345414231`,
-218.57375388077855`}, {233.54096238074067`, 172.5728706189725`,
--187.84605702107024`, 70.83567707588668`}, {244.29087345473727`,
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-{229.93731902175506`, 168.16156481904193`, -184.58591205576374`,
-67.79130067741697`}, {250.586146838049`, 178.77781056128197`,
--197.01060100570703`, 77.37613184998168`}}
-
-{{0, 2, 13}, {0, 13, 8, 9, 14}, {0, 14, 3, 7, 15}, {0, 15, 6, 2}, {1, 4, 10,
-11, 5}, {1, 5, 19, 17, 12}, {1, 12, 16, 18, 4}, {2, 6, 10, 4, 18}, {2, 18, 16,
-8, 13}, {3, 14, 9, 17, 19}, {3, 19, 5, 11, 7}, {6, 15, 7, 11, 10}, {8, 16, 12,
-17, 9}}
+{{0, 2, 13}, {0, 13, 8, 9, 14}, {0, 14, 3, 7, 15}, {0, 15, 6, 2}, {1, 
+  4, 10, 11, 5}, {1, 5, 19, 17, 12}, {1, 12, 16, 18, 4}, {2, 6, 10, 4,
+   18}, {2, 18, 16, 8, 13}, {3, 14, 9, 17, 19}, {3, 19, 5, 11, 7}, {6,
+   15, 7, 11, 10}, {8, 16, 12, 17, 9}}
diff --git a/fractal_dimension/circle_counting_new/src/main.rs b/fractal_dimension/circle_counting_new/src/main.rs
index f6da2fa..22c2a4b 100644
--- a/fractal_dimension/circle_counting_new/src/main.rs
+++ b/fractal_dimension/circle_counting_new/src/main.rs
@@ -129,7 +129,7 @@ fn main() {
 
                 let generators = geometric_generators(&gram_matrix, &faces, &temp);
                 for gen in generators {
-                    if gen[(1, 0)].abs() <= 1e-8 {
+                    if gen[(1, 0)].abs() <= 1e-8 || !gen[(1, 0)].is_finite() {
                         valid = false;
                         break;
                     }
diff --git a/fractal_dimension/fractal_dimension.nb b/fractal_dimension/fractal_dimension.nb
index 18362dd..7473dde 100644
--- a/fractal_dimension/fractal_dimension.nb
+++ b/fractal_dimension/fractal_dimension.nb
@@ -10,10 +10,10 @@
 NotebookFileLineBreakTest
 NotebookFileLineBreakTest
 NotebookDataPosition[       158,          7]
-NotebookDataLength[    403907,       9863]
-NotebookOptionsPosition[    397040,       9761]
-NotebookOutlinePosition[    397527,       9779]
-CellTagsIndexPosition[    397484,       9776]
+NotebookDataLength[    404129,       9819]
+NotebookOptionsPosition[    397270,       9717]
+NotebookOutlinePosition[    397757,       9735]
+CellTagsIndexPosition[    397714,       9732]
 WindowFrame->Normal*)
 
 (* Beginning of Notebook Content *)
@@ -27,8 +27,7 @@ Cell[BoxData[
     RowBox[{"Transpose", "[", "A", "]"}]}], "]"}]}]], "Input",
  CellChangeTimes->{{3.831194837404834*^9, 3.8311948924696903`*^9}, {
   3.831194930347896*^9, 3.831194932848599*^9}},
- CellLabel->
-  "In[131]:=",ExpressionUUID->"e1bc883b-2413-4a7d-abe0-4a19eb3f78fd"],
+ CellLabel->"In[22]:=",ExpressionUUID->"e1bc883b-2413-4a7d-abe0-4a19eb3f78fd"],
 
 Cell[BoxData[
  RowBox[{
@@ -57,8 +56,7 @@ Cell[BoxData[
  CellChangeTimes->{{3.831107414093502*^9, 3.83110748040809*^9}, {
   3.831107557920609*^9, 3.8311075805621977`*^9}, {3.8311076270925627`*^9, 
   3.831107722019619*^9}, {3.83468833600141*^9, 3.8346883410498962`*^9}},
- CellLabel->
-  "In[132]:=",ExpressionUUID->"025b5df5-f2a6-4cee-a294-e76ee16e74d4"],
+ CellLabel->"In[23]:=",ExpressionUUID->"025b5df5-f2a6-4cee-a294-e76ee16e74d4"],
 
 Cell[BoxData[
  RowBox[{
@@ -71,8 +69,7 @@ Cell[BoxData[
  CellChangeTimes->{{3.831107486071478*^9, 3.831107546093779*^9}, {
   3.831109392242589*^9, 3.831109394639595*^9}, {3.831110190169511*^9, 
   3.831110193792735*^9}},
- CellLabel->
-  "In[133]:=",ExpressionUUID->"54cc4a6c-be37-4091-ac21-3dfd11eb53ea"],
+ CellLabel->"In[24]:=",ExpressionUUID->"54cc4a6c-be37-4091-ac21-3dfd11eb53ea"],
 
 Cell[BoxData[
  RowBox[{
@@ -85,8 +82,7 @@ Cell[BoxData[
       RowBox[{"MatrixRank", "[", "G", "]"}]}], "]"}], "]"}], "//", 
    "Transpose"}]}]], "Input",
  CellChangeTimes->{{3.831109396818718*^9, 3.831109426888632*^9}},
- CellLabel->
-  "In[134]:=",ExpressionUUID->"d3298122-6e10-4115-8e61-a949acba4e08"],
+ CellLabel->"In[25]:=",ExpressionUUID->"d3298122-6e10-4115-8e61-a949acba4e08"],
 
 Cell[BoxData[
  RowBox[{
@@ -122,8 +118,7 @@ Cell[BoxData[
    3.831194680087949*^9, 3.831194680680228*^9}, {3.831194956352386*^9, 
    3.831195002875142*^9}, {3.831205178380069*^9, 3.831205187846324*^9}, 
    3.834688343633176*^9},
- CellLabel->
-  "In[135]:=",ExpressionUUID->"4e2a5664-aeb5-4dfb-88fb-7e7839ba2141"],
+ CellLabel->"In[26]:=",ExpressionUUID->"4e2a5664-aeb5-4dfb-88fb-7e7839ba2141"],
 
 Cell[BoxData[
  RowBox[{
@@ -133,8 +128,7 @@ Cell[BoxData[
   ";"}]], "Input",
  CellChangeTimes->{{3.831110103314905*^9, 3.831110162272215*^9}, 
    3.831206070230084*^9},
- CellLabel->
-  "In[136]:=",ExpressionUUID->"c9a1b25a-8cb3-40d1-ac83-1d2405398934"],
+ CellLabel->"In[27]:=",ExpressionUUID->"c9a1b25a-8cb3-40d1-ac83-1d2405398934"],
 
 Cell[BoxData[
  RowBox[{
@@ -169,8 +163,7 @@ Cell[BoxData[
         "]"}]}], ")"}]}], "]"}]}]}]], "Input",
  CellChangeTimes->{{3.831194278291965*^9, 3.831194298458626*^9}, 
    3.831195204231324*^9},
- CellLabel->
-  "In[137]:=",ExpressionUUID->"30b57c08-a123-4e7d-9b0a-b512fcfecee8"],
+ CellLabel->"In[28]:=",ExpressionUUID->"30b57c08-a123-4e7d-9b0a-b512fcfecee8"],
 
 Cell[BoxData[
  RowBox[{
@@ -192,8 +185,7 @@ Cell[BoxData[
  CellChangeTimes->{{3.831195055004586*^9, 3.83119507699967*^9}, {
   3.831195107195753*^9, 3.831195121990181*^9}, {3.831195208095559*^9, 
   3.831195214781535*^9}},
- CellLabel->
-  "In[138]:=",ExpressionUUID->"e30807a9-5381-4ad1-b9fd-a6a877ae69fe"],
+ CellLabel->"In[29]:=",ExpressionUUID->"e30807a9-5381-4ad1-b9fd-a6a877ae69fe"],
 
 Cell[BoxData[
  RowBox[{
@@ -214,8 +206,7 @@ Cell[BoxData[
       RowBox[{"v", ".", "Q", ".", "v"}], "\[Equal]", "0"}], "]"}]}], 
    "]"}]}]], "Input",
  CellChangeTimes->{{3.831195241841057*^9, 3.831195289590564*^9}},
- CellLabel->
-  "In[139]:=",ExpressionUUID->"d1264330-efcb-4ca7-a1c2-f6744f28eebe"],
+ CellLabel->"In[30]:=",ExpressionUUID->"d1264330-efcb-4ca7-a1c2-f6744f28eebe"],
 
 Cell[BoxData[
  RowBox[{
@@ -236,8 +227,7 @@ Cell[BoxData[
          RowBox[{"G", ",", "L"}], "]"}], ",", "L"}], "]"}]}], "]"}]}], 
    "]"}]}]], "Input",
  CellChangeTimes->{{3.831195337159152*^9, 3.831195396279203*^9}},
- CellLabel->
-  "In[140]:=",ExpressionUUID->"efd0e321-9f31-4641-bf42-f73e16044635"],
+ CellLabel->"In[31]:=",ExpressionUUID->"efd0e321-9f31-4641-bf42-f73e16044635"],
 
 Cell[BoxData[
  RowBox[{
@@ -253,8 +243,7 @@ Cell[BoxData[
        RowBox[{"G", ",", "L"}], "]"}], ",", "L"}], "]"}]}], "]"}]}]], "Input",\
 
  CellChangeTimes->{{3.8312049925958433`*^9, 3.8312050200596113`*^9}},
- CellLabel->
-  "In[141]:=",ExpressionUUID->"810323e6-91cb-44f2-ad55-323fbec422eb"],
+ CellLabel->"In[32]:=",ExpressionUUID->"810323e6-91cb-44f2-ad55-323fbec422eb"],
 
 Cell[BoxData[
  RowBox[{
@@ -275,8 +264,7 @@ Cell[BoxData[
    "]"}]}]], "Input",
  CellChangeTimes->{{3.8315843493182087`*^9, 3.831584372878718*^9}, {
   3.831584545556731*^9, 3.831584563248426*^9}},
- CellLabel->
-  "In[142]:=",ExpressionUUID->"948959db-c926-4458-9e45-ef7f3fb99ba5"],
+ CellLabel->"In[33]:=",ExpressionUUID->"948959db-c926-4458-9e45-ef7f3fb99ba5"],
 
 Cell[BoxData[
  RowBox[{
@@ -306,8 +294,7 @@ Cell[BoxData[
          RowBox[{"[", "pos", "]"}], "]"}]}], "}"}]}]}], "]"}]}], 
   ";"}]], "Input",
  CellChangeTimes->{3.831210886725911*^9},
- CellLabel->
-  "In[143]:=",ExpressionUUID->"e7b8a43b-0fbc-4073-928d-10a091e21dd7"],
+ CellLabel->"In[34]:=",ExpressionUUID->"e7b8a43b-0fbc-4073-928d-10a091e21dd7"],
 
 Cell[BoxData[{
  RowBox[{
@@ -325,7 +312,7 @@ Cell[BoxData[{
        "\[IndentingNewLine]", 
        RowBox[{"FindFace", "[", 
         RowBox[{"g", ",", "emb"}], "]"}]}]}], "]"}]}], ";"}], 
-  "\n"}], "\[IndentingNewLine]", 
+  "\[IndentingNewLine]"}], "\n", 
  RowBox[{
   RowBox[{"FindFace", "[", 
    RowBox[{
@@ -416,8 +403,7 @@ Cell[BoxData[{
  CellChangeTimes->{{3.8312108953940573`*^9, 3.831210895411563*^9}, 
    3.8312119634327393`*^9, 3.831542420732052*^9, {3.834688353349917*^9, 
    3.8346883534550037`*^9}},
- CellLabel->
-  "In[144]:=",ExpressionUUID->"5cb4f612-3c02-42ac-ad57-4fb2daf3366b"],
+ CellLabel->"In[35]:=",ExpressionUUID->"5cb4f612-3c02-42ac-ad57-4fb2daf3366b"],
 
 Cell[BoxData[
  RowBox[{
@@ -649,8 +635,7 @@ Cell[BoxData[
    3.831725440268997*^9}, {3.8317255156810293`*^9, 3.8317256205301943`*^9}, {
    3.831725829008904*^9, 3.831725851322979*^9}, {3.831726730605854*^9, 
    3.8317267923612432`*^9}, 3.833968804473505*^9},
- CellLabel->
-  "In[146]:=",ExpressionUUID->"df61872a-1e93-4b2b-ad66-1c8fee203402"],
+ CellLabel->"In[37]:=",ExpressionUUID->"df61872a-1e93-4b2b-ad66-1c8fee203402"],
 
 Cell[BoxData[
  RowBox[{
@@ -832,8 +817,7 @@ Cell[BoxData[
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   3.834743284660774*^9, 3.8347432883605413`*^9}, {3.8347436150091953`*^9, 
   3.834743621722823*^9}},
- CellLabel->
-  "In[147]:=",ExpressionUUID->"dab3b84f-3f49-42e4-9bc4-79cb6408f946"],
+ CellLabel->"In[38]:=",ExpressionUUID->"dab3b84f-3f49-42e4-9bc4-79cb6408f946"],
 
 Cell[BoxData[
  RowBox[{
@@ -859,8 +843,7 @@ Cell[BoxData[
      RowBox[{"Length", "[", "G", "]"}], "]"}], ",", "G"}], "]"}]}]], "Input",
  CellChangeTimes->{{3.831554845925479*^9, 3.8315548977219877`*^9}, 
    3.833982029038528*^9},
- CellLabel->
-  "In[148]:=",ExpressionUUID->"bd52b017-bd99-4bdf-9126-b7c62804c9f2"],
+ CellLabel->"In[39]:=",ExpressionUUID->"bd52b017-bd99-4bdf-9126-b7c62804c9f2"],
 
 Cell[BoxData[
  RowBox[{
@@ -873,8 +856,7 @@ Cell[BoxData[
     RowBox[{"h2", "/", "b"}], ",", 
     RowBox[{"1", "/", "b"}]}], "}"}]}]], "Input",
  CellChangeTimes->{{3.8363114259734707`*^9, 3.836311449666407*^9}},
- CellLabel->
-  "In[149]:=",ExpressionUUID->"5ef8c91b-dd7a-440d-b44e-513ae9efffca"],
+ CellLabel->"In[40]:=",ExpressionUUID->"5ef8c91b-dd7a-440d-b44e-513ae9efffca"],
 
 Cell[BoxData[
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diff --git a/root_tuple.nb b/root_tuple.nb
index fa20c99..c46b674 100644
--- a/root_tuple.nb
+++ b/root_tuple.nb
@@ -10,10 +10,10 @@
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 Cell["\<\
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 corresponding to three circles on a face. It defaults to {1, 2, 3}, but you \
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