4 files changed, 61 insertions, 3 deletions
diff --git a/src/common/doc/examples.h b/src/common/doc/examples.h
index b557727b..b2183990 100644
--- a/src/common/doc/examples.h
+++ b/src/common/doc/examples.h
@@ -1,10 +1,8 @@
 // List of GUDHI examples - Doxygen needs at least a file tag to analyse comments
 // In user_version, `find . -name "*.cpp"` in example and utilities folders
 /*! @file Examples
- * \section Alpha_complex_examples Alpha complex
  * @example Alpha_complex_from_off.cpp
  * @example Alpha_complex_from_points.cpp
- * \section bottleneck_examples bottleneck
  * @example bottleneck_basic_example.cpp
  * @example alpha_rips_persistence_bottleneck_distance.cpp
  * @example example_nearest_landmark_table.cpp
@@ -94,5 +92,8 @@
  * @example persistence_landscapes/create_landscapes.cpp
  * @example persistence_landscapes/compute_distance_of_landscapes.cpp
  * @example persistence_landscapes/plot_landscapes.cpp
+ * @example cell_complex_from_basic_circle_manifold.cpp
+ * @example manifold_tracing_custom_function.cpp
+ * @example manifold_tracing_flat_torus_with_boundary.cpp
  */
  
diff --git a/src/common/doc/installation.h b/src/common/doc/installation.h
index 610aa17e..91d30081 100644
--- a/src/common/doc/installation.h
+++ b/src/common/doc/installation.h
@@ -126,6 +126,8 @@ make \endverbatim
  * Alpha_complex/Weighted_alpha_complex_3d_from_points.cpp</a>
  * \li <a href="alpha_complex_3d_persistence_8cpp-example.html">
  * Alpha_complex/alpha_complex_3d_persistence.cpp</a>
+ * \li <a href="_coxeter_triangulation_2manifold_tracing_flat_torus_with_boundary_8cpp-example.html">
+ * Coxeter_triangulation/manifold_tracing_flat_torus_with_boundary.cpp</a>
  *
  * \subsection eigen Eigen
  * Some GUDHI modules (cf. \ref main_page "modules list"), and few examples require
@@ -170,6 +172,12 @@ make \endverbatim
  * Witness_complex/example_witness_complex_off.cpp</a>
  * \li <a href="example_witness_complex_sphere_8cpp-example.html">
  * Witness_complex/example_witness_complex_sphere.cpp</a>
+ * \li <a href="_coxeter_triangulation_2cell_complex_from_basic_circle_manifold_8cpp-example.html">
+ * Coxeter_triangulation/cell_complex_from_basic_circle_manifold.cpp</a>
+ * \li <a href="_coxeter_triangulation_2manifold_tracing_custom_function_8cpp-example.html">
+ * Coxeter_triangulation/manifold_tracing_custom_function.cpp</a>
+ * \li <a href="_coxeter_triangulation_2manifold_tracing_flat_torus_with_boundary_8cpp-example.html">
+ * Coxeter_triangulation/manifold_tracing_flat_torus_with_boundary.cpp</a>
  *
  * \subsection tbb Threading Building Blocks
  * <a target="_blank" href="https://www.threadingbuildingblocks.org/">Intel&reg; TBB</a> lets you easily write parallel
diff --git a/src/common/doc/main_page.md b/src/common/doc/main_page.md
index e19af537..17354179 100644
--- a/src/common/doc/main_page.md
+++ b/src/common/doc/main_page.md
@@ -135,7 +135,7 @@
  </tr>
 </table>
 
-## Filtrations and reconstructions {#FiltrationsReconstructions}
+## Filtrations
 ### Alpha complex
 
 <table>
@@ -298,6 +298,32 @@
  </tr>
 </table>
 
+## Manifold reconstructions
+### Coxeter triangulation
+
+<table>
+  <tr>
+    <td width="35%" rowspan=2>
+      \image html "manifold_tracing_on_custom_function_example.png"
+    </td>
+    <td width="50%">
+    Coxeter triangulation module is designed to provide tools for constructing a piecewise-linear approximation of an
+    \f$m\f$-dimensional smooth manifold embedded in \f$ \mathbb{R}^d \f$ using an ambient triangulation.
+    </td>
+    <td width="15%">
+      <b>Author:</b> Siargey Kachanovich<br>
+      <b>Introduced in:</b> GUDHI 3.4.0<br>
+      <b>Copyright:</b> MIT [(LGPL v3)](../../licensing/)<br>
+      <b>Requires:</b> \ref eigen &ge; 3.1.0
+    </td>
+ </tr>
+ <tr>
+    <td colspan=2 height="25">
+    <b>User manual:</b> \ref coxeter_triangulation
+    </td>
+ </tr>
+</table>
+
 ### Tangential complex
 
 <table>
diff --git a/src/common/include/gudhi/math.h b/src/common/include/gudhi/math.h
new file mode 100644
index 00000000..f367bac2
--- /dev/null
+++ b/src/common/include/gudhi/math.h
@@ -0,0 +1,23 @@
+/*    This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
+ *    See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
+ *    Author(s):       Vincent Rouvreau
+ *
+ *    Copyright (C) 2020 Inria
+ *
+ *    Modification(s):
+ *      - YYYY/MM Author: Description of the modification
+ */
+
+#ifndef MATH_H_
+#define MATH_H_
+
+#include <boost/math/constants/constants.hpp>
+
+namespace Gudhi {
+
+// In wait of C++20 std::numbers::pi with #include <numbers>
+static constexpr double PI = boost::math::constants::pi<double>();
+
+}  // namespace Gudhi
+
+#endif   // MATH_H_