diff --git a/src/main/scala/org/appliedtopology/tda4j/AlphaShapes.scala b/src/main/scala/org/appliedtopology/tda4j/AlphaShapes.scala
index 12a1ed04..c6bc74ec 100644
--- a/src/main/scala/org/appliedtopology/tda4j/AlphaShapes.scala
+++ b/src/main/scala/org/appliedtopology/tda4j/AlphaShapes.scala
@@ -3,87 +3,75 @@ package org.appliedtopology.tda4j
 import com.dreizak.miniball.model.{ArrayPointSet, PointSet}
 import com.dreizak.miniball.highdim.Miniball
 
-class ScalaPointSet(points : Array[Array[Double]]) extends PointSet {
-  override def size : Int = points.size
-  override def dimension : Int = points(0).size
-  override def coord(i : Int, j : Int) : Double = points(i)(j)
-}
+class ScalaPointSet(points: Array[Array[Double]]) extends PointSet:
+  override def size: Int = points.size
+  override def dimension: Int = points(0).size
+  override def coord(i: Int, j: Int): Double = points(i)(j)
 
-class AlphaShapes(val points : Array[Array[Double]]) extends StratifiedSimplexStream[Int, Double]() with DoubleFiltration[Simplex[Int]]() {
-  
-  val pointSet : ScalaPointSet = ScalaPointSet(points)
-  val metricSpace : EuclideanMetricSpace = EuclideanMetricSpace(points)
-  
-  var simplexCache : Seq[Simplex[Int]] = metricSpace.elements.toSeq.map(Simplex(_))
-  var cacheDimension : Int = 0
+class AlphaShapes(val points: Array[Array[Double]])
+    extends StratifiedSimplexStream[Int, Double]()
+    with DoubleFiltration[Simplex[Int]]():
 
+  val pointSet: ScalaPointSet = ScalaPointSet(points)
+  val metricSpace: EuclideanMetricSpace = EuclideanMetricSpace(points)
 
-  def isDelaunay(pts: Array[Array[Double]]): Boolean = pts.size match {
+  var simplexCache: Seq[Simplex[Int]] = metricSpace.elements.toSeq.map(Simplex(_))
+  var cacheDimension: Int = 0
+
+  def isDelaunay(pts: Array[Array[Double]]): Boolean = pts.size match
     case 0 => true
     case 1 => true
-    case 2 => {
+    case 2 =>
       val c = pts(0)
         .zip(pts(1))
-        .map{(x,y) => (x+y)/2}
+        .map((x, y) => (x + y) / 2)
       val sqd = metricSpace.pointSqDistance(c, pts(0))
       !points.exists(metricSpace.pointSqDistance(c, _) < sqd)
-    }
-    case _ => {
+    case _ =>
       val mb = Miniball(ScalaPointSet(pts))
 
       !points.exists(metricSpace.pointSqDistance(mb.center(), _) < mb.squaredRadius())
-    }
-  }
 
-  def isDelaunaySimplex(spx: Simplex[Int]): Boolean = {
+  def isDelaunaySimplex(spx: Simplex[Int]): Boolean =
     isDelaunay(spx.vertices.toArray.map(points(_)))
-  }
-  
+
   override def iterateDimension: PartialFunction[Int, Iterator[Simplex[Int]]] = {
-    case d if(d == cacheDimension) => simplexCache.iterator
-    case 0 => metricSpace.elements.toSeq.map(Simplex(_)).iterator
-    case 1 => {
-      simplexCache = (for 
+    case d if d == cacheDimension => simplexCache.iterator
+    case 0                        => metricSpace.elements.toSeq.map(Simplex(_)).iterator
+    case 1 =>
+      simplexCache = (for
         i <- metricSpace.elements
         j <- metricSpace.elements
-        if(i < j)
-        spx = Simplex(i,j)
-        if(isDelaunaySimplex(spx))
-      yield
-        spx).toSeq.sortBy(filtrationValue)
+        if i < j
+        spx = Simplex(i, j)
+        if isDelaunaySimplex(spx)
+      yield spx).toSeq.sortBy(filtrationValue)
       cacheDimension = 1
       simplexCache.iterator
-    }
-    case d if(d == cacheDimension+1) => {
-      val newSimplexCache = for 
+    case d if d == cacheDimension + 1 =>
+      val newSimplexCache = for
         spx <- simplexCache
         i <- metricSpace.elements.takeWhile(_ < spx.vertices.min)
         coface = spx.union(Simplex(i))
-        if(isDelaunaySimplex(coface))
-      yield
-        coface
-      simplexCache = newSimplexCache
+        if isDelaunaySimplex(coface)
+      yield coface
+      simplexCache = newSimplexCache.sortBy(filtrationValue)
       cacheDimension += 1
       simplexCache.iterator
-    }
-    case d => {
+    case d =>
       // this may be a time sink
-      simplexCache = metricSpace.elements
-        .toSeq
-        .combinations(d+1)
+      simplexCache = metricSpace.elements.toSeq
+        .combinations(d + 1)
         .map(Simplex.from(_))
         .filter(isDelaunaySimplex)
         .toSeq
         .sortBy(filtrationValue)
       cacheDimension = d
       simplexCache.iterator
-    }
   }
 
   override def filtrationOrdering: Ordering[Simplex[Int]] =
-    FilteredSimplexOrdering[Int,Double](this)
+    FilteredSimplexOrdering[Int, Double](this)
 
   override def filtrationValue: PartialFunction[Simplex[Int], Double] =
     FiniteMetricSpace.MaximumDistanceFiltrationValue[Int](metricSpace)
-}
-