diff --git a/src/Interfaces/AbstractPolyhedron_functions.jl b/src/Interfaces/AbstractPolyhedron_functions.jl
index fd446076c2..d24fe5323c 100644
--- a/src/Interfaces/AbstractPolyhedron_functions.jl
+++ b/src/Interfaces/AbstractPolyhedron_functions.jl
@@ -821,7 +821,11 @@ function plot_recipe(P::AbstractPolyhedron{N}, ε=zero(N)) where {N}
     @assert isbounded(P) "cannot plot an unbounded $(typeof(P))"
 
     if dim(P) == 1
-        return plot_recipe(convert(Interval, P), ε)
+        Q = convert(Interval, P)
+        if diameter(Q) < _ztol(N)  # flat interval
+            Q = Singleton(center(Q))
+        end
+        return plot_recipe(Q, ε)
     else
         vlist = convex_hull(vertices_list(P))
         m = length(vlist)
diff --git a/src/Plotting/plot_recipes.jl b/src/Plotting/plot_recipes.jl
index c3d95b52f0..e1ef78bfb1 100644
--- a/src/Plotting/plot_recipes.jl
+++ b/src/Plotting/plot_recipes.jl
@@ -312,17 +312,21 @@ julia> plot(B, 1e-2)  # faster but less accurate than the previous call
 ```
 """
 @recipe function plot_lazyset(X::LazySet{N}, ε::N=N(PLOT_PRECISION)) where {N}
+    label --> DEFAULT_LABEL
+    grid --> DEFAULT_GRID
+    if DEFAULT_ASPECT_RATIO != :none
+        aspect_ratio --> DEFAULT_ASPECT_RATIO
+    end
+    seriesalpha --> DEFAULT_ALPHA
+    seriescolor --> DEFAULT_COLOR
+
     if dim(X) == 1
-        plot_recipe(X, ε)
-    else
-        label --> DEFAULT_LABEL
-        grid --> DEFAULT_GRID
-        if DEFAULT_ASPECT_RATIO != :none
-            aspect_ratio --> DEFAULT_ASPECT_RATIO
+        x, y = plot_recipe(X, ε)
+        if length(x) == 1
+            seriestype := :scatter
         end
-        seriesalpha --> DEFAULT_ALPHA
-        seriescolor --> DEFAULT_COLOR
-
+        x, y
+    else
         # extract limits and extrema of already plotted sets
         p = plotattributes[:plot_object]
         lims = _extract_limits(p, plotattributes)