diff --git a/atrip.org b/atrip.org
index 2500ea0..0f68b9d 100644
--- a/atrip.org
+++ b/atrip.org
@@ -1416,6 +1416,8 @@ whereas a partial tuple is a two dimensional subset of these three.
 using ABCTuple = std::array<size_t, 3>;
 using PartialTuple = std::array<size_t, 2>;
 using ABCTuples = std::vector<ABCTuple>;
+
+constexpr ABCTuple FAKE_TUPLE = {0, 0, 0};
 #+end_src
 
 *** Naive list
diff --git a/include/atrip/Tuples.hpp b/include/atrip/Tuples.hpp
index a538389..dc1297d 100644
--- a/include/atrip/Tuples.hpp
+++ b/include/atrip/Tuples.hpp
@@ -15,6 +15,8 @@ namespace atrip {
 using ABCTuple = std::array<size_t, 3>;
 using PartialTuple = std::array<size_t, 2>;
 using ABCTuples = std::vector<ABCTuple>;
+
+constexpr ABCTuple FAKE_TUPLE = {0, 0, 0};
 // Tuples types:1 ends here
 
 // [[file:../../atrip.org::*Naive list][Naive list:1]]