diff --git a/src/dsc.h b/src/dsc.h
index ce92c59..5a431a7 100644
--- a/src/dsc.h
+++ b/src/dsc.h
@@ -215,12 +215,12 @@ public:
     void ReserveMore(int howMuch) {
         if(n + howMuch > elemsAllocated) {
             elemsAllocated = n + howMuch;
-            T *newElem = (T *)MemAlloc((size_t)elemsAllocated*sizeof(T));
+            T *newElem = (T *)::operator new[]((size_t)elemsAllocated*sizeof(T));
             for(int i = 0; i < n; i++) {
                 new(&newElem[i]) T(std::move(elem[i]));
                 elem[i].~T();
             }
-            MemFree(elem);
+            ::operator delete[](elem);
             elem = newElem;
         }
     }
@@ -286,7 +286,7 @@ public:
     void Clear() {
         for(int i = 0; i < n; i++)
             elem[i].~T();
-        if(elem) MemFree(elem);
+        if(elem) ::operator delete[](elem);
         elem = NULL;
         n = elemsAllocated = 0;
     }
@@ -401,12 +401,12 @@ public:
     void ReserveMore(int howMuch) {
         if(n + howMuch > elemsAllocated) {
             elemsAllocated = n + howMuch;
-            T *newElem = (T *)MemAlloc((size_t)elemsAllocated*sizeof(T));
+            T *newElem = (T *)::operator new[]((size_t)elemsAllocated*sizeof(T));
             for(int i = 0; i < n; i++) {
                 new(&newElem[i]) T(std::move(elem[i]));
                 elem[i].~T();
             }
-            MemFree(elem);
+            ::operator delete[](elem);
             elem = newElem;
         }
     }
@@ -525,7 +525,7 @@ public:
 
     void DeepCopyInto(IdList<T,H> *l) {
         l->Clear();
-        l->elem = (T *)MemAlloc(elemsAllocated * sizeof(elem[0]));
+        l->elem = (T *)::operator new[](elemsAllocated * sizeof(elem[0]));
         for(int i = 0; i < n; i++)
             new(&l->elem[i]) T(elem[i]);
         l->elemsAllocated = elemsAllocated;
@@ -537,7 +537,7 @@ public:
             elem[i].Clear();
             elem[i].~T();
         }
-        if(elem) MemFree(elem);
+        if(elem) ::operator delete[](elem);
         elem = NULL;
         elemsAllocated = n = 0;
     }
diff --git a/src/mesh.cpp b/src/mesh.cpp
index 57aa87b..047d611 100644
--- a/src/mesh.cpp
+++ b/src/mesh.cpp
@@ -110,11 +110,11 @@ void SMesh::Simplify(int start) {
 
     STriMeta meta = l[start].meta;
 
-    STriangle *tout = (STriangle *)MemAlloc(maxTriangles*sizeof(*tout));
+    STriangle *tout = new STriangle[maxTriangles];
     int toutc = 0;
 
     Vector n = Vector::From(0, 0, 0);
-    Vector *conv = (Vector *)MemAlloc(maxTriangles*3*sizeof(*conv));
+    Vector *conv = new Vector[maxTriangles * 3];
     int convc = 0;
 
     int start0 = start;
@@ -234,8 +234,8 @@ void SMesh::Simplify(int start) {
     for(i = 0; i < toutc; i++) {
         AddTriangle(&(tout[i]));
     }
-    MemFree(tout);
-    MemFree(conv);
+    delete[] tout;
+    delete[] conv;
 }
 
 void SMesh::AddAgainstBsp(SMesh *srcm, SBsp3 *bsp3) {
diff --git a/src/platform/utilunix.cpp b/src/platform/utilunix.cpp
index 646affc..9a48426 100644
--- a/src/platform/utilunix.cpp
+++ b/src/platform/utilunix.cpp
@@ -1,8 +1,5 @@
 //-----------------------------------------------------------------------------
-// Utility functions used by the Unix port. Notably, our memory allocation;
-// we use two separate allocators, one for long-lived stuff and one for
-// stuff that gets freed after every regeneration of the model, to save us
-// the trouble of freeing the latter explicitly.
+// Utility functions used by the Unix port.
 //
 // Copyright 2008-2013 Jonathan Westhues.
 // Copyright 2013 Daniel Richard G. <skunk@iSKUNK.ORG>
@@ -64,16 +61,6 @@ void FreeAllTemporary() {
     Head = NULL;
 }
 
-void *MemAlloc(size_t n) {
-    void *p = malloc(n);
-    ssassert(p != NULL, "Cannot allocate memory");
-    return p;
-}
-
-void MemFree(void *p) {
-    free(p);
-}
-
 std::vector<std::string> InitPlatform(int argc, char **argv) {
     std::vector<std::string> args;
     args.reserve(argc);
diff --git a/src/platform/utilwin.cpp b/src/platform/utilwin.cpp
index 172039a..b3a7b52 100644
--- a/src/platform/utilwin.cpp
+++ b/src/platform/utilwin.cpp
@@ -1,8 +1,5 @@
 //-----------------------------------------------------------------------------
-// Utility functions that depend on Win32. Notably, our memory allocation;
-// we use two separate allocators, one for long-lived stuff and one for
-// stuff that gets freed after every regeneration of the model, to save us
-// the trouble of freeing the latter explicitly.
+// Utility functions that depend on Win32.
 //
 // Copyright 2008-2013 Jonathan Westhues.
 //-----------------------------------------------------------------------------
@@ -53,15 +50,6 @@ void FreeAllTemporary()
     TempHeap = HeapCreate(HEAP_NO_SERIALIZE, 1024*1024*20, 0);
 }
 
-void *MemAlloc(size_t n) {
-    void *p = malloc(n);
-    ssassert(p != NULL, "Cannot allocate memory");
-    return p;
-}
-void MemFree(void *p) {
-    free(p);
-}
-
 std::vector<std::string> InitPlatform(int argc, char **argv) {
 #if !defined(LIBRARY) && defined(_MSC_VER)
     // We display our own message on abort; just call ReportFault.
diff --git a/src/solvespace.h b/src/solvespace.h
index fea705e..f0e6c0f 100644
--- a/src/solvespace.h
+++ b/src/solvespace.h
@@ -150,8 +150,6 @@ std::vector<std::string> InitPlatform(int argc, char **argv);
 
 void *AllocTemporary(size_t n);
 void FreeAllTemporary();
-void *MemAlloc(size_t n);
-void MemFree(void *p);
 
 // End of platform-specific functions
 //================