diff --git a/src/main/java/com/sk89q/worldedit/math/transform/AffineTransform.java b/src/main/java/com/sk89q/worldedit/math/transform/AffineTransform.java
new file mode 100644
index 000000000..4fef9b606
--- /dev/null
+++ b/src/main/java/com/sk89q/worldedit/math/transform/AffineTransform.java
@@ -0,0 +1,298 @@
+/*
+ * WorldEdit, a Minecraft world manipulation toolkit
+ * Copyright (C) sk89q <http://www.sk89q.com>
+ * Copyright (C) WorldEdit team and contributors
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <http://www.gnu.org/licenses/>.
+ */
+
+package com.sk89q.worldedit.math.transform;
+
+import com.sk89q.worldedit.Vector;
+
+/**
+ * An affine transform.
+ * </p>
+ * This class is from the <a href="http://geom-java.sourceforge.net/index.html>JavaGeom
+ * project</a>, which is licensed under LGPL v2.1.
+ */
+public class AffineTransform implements Transform {
+
+    /**
+     * coefficients for x coordinate.
+     */
+    protected double m00, m01, m02, m03;
+
+    /**
+     * coefficients for y coordinate.
+     */
+    protected double m10, m11, m12, m13;
+
+    /**
+     * coefficients for z coordinate.
+     */
+    protected double m20, m21, m22, m23;
+
+    // ===================================================================
+    // constructors
+
+    /**
+     * Creates a new affine transform3D set to identity
+     */
+    public AffineTransform() {
+        // init to identity matrix
+        m00 = m11 = m22 = 1;
+        m01 = m02 = m03 = 0;
+        m10 = m12 = m13 = 0;
+        m20 = m21 = m23 = 0;
+    }
+
+    public AffineTransform(double[] coefs) {
+        if (coefs.length == 9) {
+            m00 = coefs[0];
+            m01 = coefs[1];
+            m02 = coefs[2];
+            m10 = coefs[3];
+            m11 = coefs[4];
+            m12 = coefs[5];
+            m20 = coefs[6];
+            m21 = coefs[7];
+            m22 = coefs[8];
+        } else if (coefs.length == 12) {
+            m00 = coefs[0];
+            m01 = coefs[1];
+            m02 = coefs[2];
+            m03 = coefs[3];
+            m10 = coefs[4];
+            m11 = coefs[5];
+            m12 = coefs[6];
+            m13 = coefs[7];
+            m20 = coefs[8];
+            m21 = coefs[9];
+            m22 = coefs[10];
+            m23 = coefs[11];
+        } else {
+            throw new IllegalArgumentException(
+                    "Input array must have 9 or 12 elements");
+        }
+    }
+
+    public AffineTransform(double xx, double yx, double zx, double tx,
+                           double xy, double yy, double zy, double ty, double xz, double yz,
+                           double zz, double tz) {
+        m00 = xx;
+        m01 = yx;
+        m02 = zx;
+        m03 = tx;
+        m10 = xy;
+        m11 = yy;
+        m12 = zy;
+        m13 = ty;
+        m20 = xz;
+        m21 = yz;
+        m22 = zz;
+        m23 = tz;
+    }
+
+    // ===================================================================
+    // accessors
+
+    public boolean isIdentity() {
+        if (m00 != 1)
+            return false;
+        if (m11 != 1)
+            return false;
+        if (m22 != 0)
+            return false;
+        if (m01 != 0)
+            return false;
+        if (m02 != 0)
+            return false;
+        if (m03 != 0)
+            return false;
+        if (m10 != 0)
+            return false;
+        if (m12 != 0)
+            return false;
+        if (m13 != 0)
+            return false;
+        if (m20 != 0)
+            return false;
+        if (m21 != 0)
+            return false;
+        if (m23 != 0)
+            return false;
+        return true;
+    }
+
+    /**
+     * Returns the affine coefficients of the transform. Result is an array of
+     * 12 double.
+     */
+    public double[] coefficients() {
+        double[] tab = {m00, m01, m02, m03, m10, m11, m12, m13, m20, m21, m22, m23};
+        return tab;
+    }
+
+    /**
+     * Computes the determinant of this transform. Can be zero.
+     *
+     * @return the determinant of the transform.
+     */
+    private double determinant() {
+        return m00 * (m11 * m22 - m12 * m21) - m01 * (m10 * m22 - m20 * m12)
+                + m02 * (m10 * m21 - m20 * m11);
+    }
+
+    /**
+     * Computes the inverse affine transform.
+     */
+    public AffineTransform inverse() {
+        double det = this.determinant();
+        return new AffineTransform(
+                (m11 * m22 - m21 * m12) / det,
+                (m21 * m01 - m01 * m22) / det,
+                (m01 * m12 - m11 * m02) / det,
+                (m01 * (m22 * m13 - m12 * m23) + m02 * (m11 * m23 - m21 * m13)
+                        - m03 * (m11 * m22 - m21 * m12)) / det,
+                (m20 * m12 - m10 * m22) / det,
+                (m00 * m22 - m20 * m02) / det,
+                (m10 * m02 - m00 * m12) / det,
+                (m00 * (m12 * m23 - m22 * m13) - m02 * (m10 * m23 - m20 * m13)
+                        + m03 * (m10 * m22 - m20 * m12)) / det,
+                (m10 * m21 - m20 * m11) / det,
+                (m20 * m01 - m00 * m21) / det,
+                (m00 * m11 - m10 * m01) / det,
+                (m00 * (m21 * m13 - m11 * m23) + m01 * (m10 * m23 - m20 * m13)
+                        - m03 * (m10 * m21 - m20 * m11)) / det);
+    }
+
+    // ===================================================================
+    // general methods
+
+    /**
+     * Returns the affine transform created by applying first the affine
+     * transform given by <code>that</code>, then this affine transform.
+     *
+     * @param that the transform to apply first
+     * @return the composition this * that
+     */
+    public AffineTransform concatenate(AffineTransform that) {
+        double n00 = m00 * that.m00 + m01 * that.m10 + m02 * that.m20;
+        double n01 = m00 * that.m01 + m01 * that.m11 + m02 * that.m21;
+        double n02 = m00 * that.m02 + m01 * that.m12 + m02 * that.m22;
+        double n03 = m00 * that.m03 + m01 * that.m13 + m02 * that.m23 + m03;
+        double n10 = m10 * that.m00 + m11 * that.m10 + m12 * that.m20;
+        double n11 = m10 * that.m01 + m11 * that.m11 + m12 * that.m21;
+        double n12 = m10 * that.m02 + m11 * that.m12 + m12 * that.m22;
+        double n13 = m10 * that.m03 + m11 * that.m13 + m12 * that.m23 + m13;
+        double n20 = m20 * that.m00 + m21 * that.m10 + m22 * that.m20;
+        double n21 = m20 * that.m01 + m21 * that.m11 + m22 * that.m21;
+        double n22 = m20 * that.m02 + m21 * that.m12 + m22 * that.m22;
+        double n23 = m20 * that.m03 + m21 * that.m13 + m22 * that.m23 + m23;
+        return new AffineTransform(
+                n00, n01, n02, n03,
+                n10, n11, n12, n13,
+                n20, n21, n22, n23);
+    }
+
+    /**
+     * Return the affine transform created by applying first this affine
+     * transform, then the affine transform given by <code>that</code>.
+     *
+     * @param that the transform to apply in a second step
+     * @return the composition that * this
+     */
+    public AffineTransform preConcatenate(AffineTransform that) {
+        double n00 = that.m00 * m00 + that.m01 * m10 + that.m02 * m20;
+        double n01 = that.m00 * m01 + that.m01 * m11 + that.m02 * m21;
+        double n02 = that.m00 * m02 + that.m01 * m12 + that.m02 * m22;
+        double n03 = that.m00 * m03 + that.m01 * m13 + that.m02 * m23 + that.m03;
+        double n10 = that.m10 * m00 + that.m11 * m10 + that.m12 * m20;
+        double n11 = that.m10 * m01 + that.m11 * m11 + that.m12 * m21;
+        double n12 = that.m10 * m02 + that.m11 * m12 + that.m12 * m22;
+        double n13 = that.m10 * m03 + that.m11 * m13 + that.m12 * m23 + that.m13;
+        double n20 = that.m20 * m00 + that.m21 * m10 + that.m22 * m20;
+        double n21 = that.m20 * m01 + that.m21 * m11 + that.m22 * m21;
+        double n22 = that.m20 * m02 + that.m21 * m12 + that.m22 * m22;
+        double n23 = that.m20 * m03 + that.m21 * m13 + that.m22 * m23 + that.m23;
+        return new AffineTransform(
+                n00, n01, n02, n03,
+                n10, n11, n12, n13,
+                n20, n21, n22, n23);
+    }
+
+    public AffineTransform translate(Vector vec) {
+        return translate(vec.getX(), vec.getY(), vec.getZ());
+    }
+
+    public AffineTransform translate(double x, double y, double z) {
+        return concatenate(new AffineTransform(1, 0, 0, x, 0, 1, 0, y, 0, 0, 1, z));
+    }
+
+    public AffineTransform rotateX(double theta) {
+        double cot = Math.cos(theta);
+        double sit = Math.sin(theta);
+        return concatenate(
+                new AffineTransform(
+                        1, 0, 0, 0,
+                        0, cot, -sit, 0,
+                        0, sit, cot, 0));
+    }
+
+    public AffineTransform rotateY(double theta) {
+        double cot = Math.cos(theta);
+        double sit = Math.sin(theta);
+        return concatenate(
+                new AffineTransform(
+                        cot, 0, sit, 0,
+                        0, 1, 0, 0,
+                        -sit, 0, cot, 0));
+    }
+
+    public AffineTransform rotateZ(double theta) {
+        double cot = Math.cos(theta);
+        double sit = Math.sin(theta);
+        return concatenate(
+                new AffineTransform(
+                        cot, -sit, 0, 0,
+                        sit, cot, 0, 0,
+                        0, 0, 1, 0));
+    }
+
+    public AffineTransform scale(double s) {
+        return scale(s, s, s);
+    }
+
+    public AffineTransform scale(double sx, double sy, double sz) {
+        return concatenate(new AffineTransform(sx, 0, 0, 0, 0, sy, 0, 0, 0, 0, sz, 0));
+    }
+
+    @Override
+    public Vector apply(Vector vector) {
+        return new Vector(
+                vector.getX() * m00 + vector.getY() * m01 + vector.getZ() * m02 + m03,
+                vector.getX() * m10 + vector.getY() * m11 + vector.getZ() * m12 + m13,
+                vector.getX() * m20 + vector.getY() * m21 + vector.getZ() * m22 + m23);
+    }
+
+    @Override
+    public Transform combine(Transform other) {
+        if (other instanceof AffineTransform) {
+            return concatenate((AffineTransform) other);
+        } else {
+            return new CombinedTransform(this, other);
+        }
+    }
+}
\ No newline at end of file
diff --git a/src/main/java/com/sk89q/worldedit/math/transform/CombinedTransform.java b/src/main/java/com/sk89q/worldedit/math/transform/CombinedTransform.java
new file mode 100644
index 000000000..893e3c384
--- /dev/null
+++ b/src/main/java/com/sk89q/worldedit/math/transform/CombinedTransform.java
@@ -0,0 +1,77 @@
+/*
+ * WorldEdit, a Minecraft world manipulation toolkit
+ * Copyright (C) sk89q <http://www.sk89q.com>
+ * Copyright (C) WorldEdit team and contributors
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <http://www.gnu.org/licenses/>.
+ */
+
+package com.sk89q.worldedit.math.transform;
+
+import com.sk89q.worldedit.Vector;
+
+import java.util.Arrays;
+import java.util.Collection;
+
+import static com.google.common.base.Preconditions.checkNotNull;
+
+/**
+ * Combines several transforms in order.
+ */
+public class CombinedTransform implements Transform {
+
+    private final Transform[] transforms;
+
+    /**
+     * Create a new combined transformation.
+     *
+     * @param transforms a list of transformations
+     */
+    public CombinedTransform(Transform... transforms) {
+        checkNotNull(transforms);
+        this.transforms = Arrays.copyOf(transforms, transforms.length);
+    }
+
+    /**
+     * Create a new combined transformation.
+     *
+     * @param transforms a list of transformations
+     */
+    public CombinedTransform(Collection<Transform> transforms) {
+        this(transforms.toArray(new Transform[checkNotNull(transforms).size()]));
+    }
+
+    @Override
+    public Vector apply(Vector vector) {
+        for (Transform transform : transforms) {
+            vector = transform.apply(vector);
+        }
+        return vector;
+    }
+
+    @Override
+    public Transform combine(Transform other) {
+        checkNotNull(other);
+        if (other instanceof CombinedTransform) {
+            CombinedTransform combinedOther = (CombinedTransform) other;
+            Transform[] newTransforms = new Transform[transforms.length + combinedOther.transforms.length];
+            System.arraycopy(transforms, 0, newTransforms, 0, transforms.length);
+            System.arraycopy(combinedOther.transforms, 0, newTransforms, transforms.length, combinedOther.transforms.length);
+            return new CombinedTransform(newTransforms);
+        } else {
+            return new CombinedTransform(this, other);
+        }
+    }
+
+}
diff --git a/src/main/java/com/sk89q/worldedit/math/transform/Identity.java b/src/main/java/com/sk89q/worldedit/math/transform/Identity.java
new file mode 100644
index 000000000..e13547de1
--- /dev/null
+++ b/src/main/java/com/sk89q/worldedit/math/transform/Identity.java
@@ -0,0 +1,42 @@
+/*
+ * WorldEdit, a Minecraft world manipulation toolkit
+ * Copyright (C) sk89q <http://www.sk89q.com>
+ * Copyright (C) WorldEdit team and contributors
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <http://www.gnu.org/licenses/>.
+ */
+
+package com.sk89q.worldedit.math.transform;
+
+import com.sk89q.worldedit.Vector;
+
+/**
+ * Makes no transformation to given vectors.
+ */
+public class Identity implements Transform {
+
+    @Override
+    public Vector apply(Vector vector) {
+        return vector;
+    }
+
+    @Override
+    public Transform combine(Transform other) {
+        if (other instanceof Identity) {
+            return this;
+        } else {
+            return new CombinedTransform(this, other);
+        }
+    }
+}
diff --git a/src/main/java/com/sk89q/worldedit/math/transform/Transform.java b/src/main/java/com/sk89q/worldedit/math/transform/Transform.java
new file mode 100644
index 000000000..38aba52e9
--- /dev/null
+++ b/src/main/java/com/sk89q/worldedit/math/transform/Transform.java
@@ -0,0 +1,38 @@
+/*
+ * WorldEdit, a Minecraft world manipulation toolkit
+ * Copyright (C) sk89q <http://www.sk89q.com>
+ * Copyright (C) WorldEdit team and contributors
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <http://www.gnu.org/licenses/>.
+ */
+
+package com.sk89q.worldedit.math.transform;
+
+import com.google.common.base.Function;
+import com.sk89q.worldedit.Vector;
+
+/**
+ * Makes a transformation of {@link Vector}s.
+ */
+public interface Transform extends Function<Vector, Vector> {
+
+    /**
+     * Create a new {@link Transform} that combines this transform with another.
+     *
+     * @param other the other transform to occur second
+     * @return a new transform
+     */
+    Transform combine(Transform other);
+
+}