diff --git a/manimlib/shaders/quadratic_bezier_stroke/geom.glsl b/manimlib/shaders/quadratic_bezier_stroke/geom.glsl
index f9c093ec..8db86d75 100644
--- a/manimlib/shaders/quadratic_bezier_stroke/geom.glsl
+++ b/manimlib/shaders/quadratic_bezier_stroke/geom.glsl
@@ -32,6 +32,7 @@ const float COS_THRESHOLD = 0.999;
 // Used to determine how many lines to break the curve into
 const float POLYLINE_FACTOR = 100;
 const int MAX_STEPS = 32;
+const float MITER_COS_ANGLE_THRESHOLD = -0.8;
 
 #INSERT emit_gl_Position.glsl
 #INSERT finalize_color.glsl
@@ -126,10 +127,12 @@ vec3 step_to_corner(vec3 point, vec3 tangent, vec3 unit_normal, vec4 joint_produ
         cos_angle = unit_joint_product(flat_jp).w;
     }
 
-    // If joint type is auto, it will bevel for cos(angle) > -0.7,
+    // If joint type is auto, it will bevel for cos(angle) > MITER_COS_ANGLE_THRESHOLD,
     // and smoothly transition to miter for those with sharper angles
+    float mcat1 = MITER_COS_ANGLE_THRESHOLD;
+    float mcat2 = 0.5 * (mcat1 - 1.0);
     float miter_factor;
-    if (joint_type == AUTO_JOINT)       miter_factor = smoothstep(-0.7, -0.9, cos_angle);
+    if (joint_type == AUTO_JOINT)       miter_factor = smoothstep(mcat1, mcat2, cos_angle);
     else if (joint_type == BEVEL_JOINT) miter_factor = 0.0;
     else                                miter_factor = 1.0;