diff --git a/packages/math/line.ts b/packages/math/line.ts
index c646e04d46..6ff8a66eeb 100644
--- a/packages/math/line.ts
+++ b/packages/math/line.ts
@@ -1,5 +1,5 @@
 import { pointCenter, pointRotateRads } from "./point";
-import type { GlobalPoint, Line, LocalPoint, Radians } from "./types";
+import type { GenericPoint, Line, Radians } from "./types";
 
 /**
  * Create a line from two points.
@@ -7,7 +7,7 @@ import type { GlobalPoint, Line, LocalPoint, Radians } from "./types";
  * @param points The two points lying on the line
  * @returns The line on which the points lie
  */
-export function line<P extends GlobalPoint | LocalPoint>(a: P, b: P): Line<P> {
+export function line<P extends GenericPoint>(a: P, b: P): Line<P> {
   return [a, b] as Line<P>;
 }
 
@@ -17,7 +17,7 @@ export function line<P extends GlobalPoint | LocalPoint>(a: P, b: P): Line<P> {
  * @param param0 The array with the two points to convert to a line
  * @returns The created line
  */
-export function lineFromPointPair<P extends GlobalPoint | LocalPoint>([a, b]: [
+export function lineFromPointPair<P extends GenericPoint>([a, b]: [
   P,
   P,
 ]): Line<P> {
@@ -30,7 +30,7 @@ export function lineFromPointPair<P extends GlobalPoint | LocalPoint>([a, b]: [
  * @param pointArray
  * @returns
  */
-export function lineFromPointArray<P extends GlobalPoint | LocalPoint>(
+export function lineFromPointArray<P extends GenericPoint>(
   pointArray: P[],
 ): Line<P> | undefined {
   return pointArray.length === 2
@@ -40,7 +40,7 @@ export function lineFromPointArray<P extends GlobalPoint | LocalPoint>(
 
 // return the coordinates resulting from rotating the given line about an origin by an angle in degrees
 // note that when the origin is not given, the midpoint of the given line is used as the origin
-export const lineRotate = <Point extends LocalPoint | GlobalPoint>(
+export const lineRotate = <Point extends GenericPoint>(
   l: Line<Point>,
   angle: Radians,
   origin?: Point,
diff --git a/packages/math/point.ts b/packages/math/point.ts
index 659d3b8820..471eab8765 100644
--- a/packages/math/point.ts
+++ b/packages/math/point.ts
@@ -1,14 +1,5 @@
 import { degreesToRadians } from "./angle";
-import type {
-  LocalPoint,
-  GlobalPoint,
-  Radians,
-  Degrees,
-  Vector,
-  ViewportPoint,
-  GenericPoint,
-  Extent,
-} from "./types";
+import type { Radians, Degrees, Vector, GenericPoint, Extent } from "./types";
 import { PRECISION } from "./utils";
 import { vectorFromPoint, vectorScale } from "./vector";
 
@@ -19,10 +10,7 @@ import { vectorFromPoint, vectorScale } from "./vector";
  * @param y The Y coordinate
  * @returns The branded and created point
  */
-export function point<Point extends GlobalPoint | LocalPoint | ViewportPoint>(
-  x: number,
-  y: number,
-): Point {
+export function point<Point extends GenericPoint>(x: number, y: number): Point {
   return [x, y] as Point;
 }
 
@@ -32,9 +20,9 @@ export function point<Point extends GlobalPoint | LocalPoint | ViewportPoint>(
  * @param numberArray The number array to check and to convert to Point
  * @returns The point instance
  */
-export function pointFromArray<
-  Point extends GlobalPoint | LocalPoint | ViewportPoint,
->(numberArray: number[]): Point | undefined {
+export function pointFromArray<Point extends GenericPoint>(
+  numberArray: number[],
+): Point | undefined {
   return numberArray.length === 2
     ? point<Point>(numberArray[0], numberArray[1])
     : undefined;
@@ -46,9 +34,9 @@ export function pointFromArray<
  * @param pair A number pair to convert to Point
  * @returns The point instance
  */
-export function pointFromPair<
-  Point extends GlobalPoint | LocalPoint | ViewportPoint,
->(pair: [number, number]): Point {
+export function pointFromPair<Point extends GenericPoint>(
+  pair: [number, number],
+): Point {
   return pair as Point;
 }
 
@@ -58,9 +46,7 @@ export function pointFromPair<
  * @param v The vector to convert
  * @returns The point the vector points at with origin 0,0
  */
-export function pointFromVector<
-  P extends GlobalPoint | LocalPoint | ViewportPoint,
->(v: Vector): P {
+export function pointFromVector<P extends GenericPoint>(v: Vector): P {
   return v as unknown as P;
 }
 
@@ -70,9 +56,7 @@ export function pointFromVector<
  * @param p The value to attempt verification on
  * @returns TRUE if the provided value has the shape of a local or global point
  */
-export function isPoint(
-  p: unknown,
-): p is LocalPoint | GlobalPoint | ViewportPoint {
+export function isPoint(p: unknown): p is GenericPoint {
   return (
     Array.isArray(p) &&
     p.length === 2 &&
@@ -91,9 +75,10 @@ export function isPoint(
  * @param b Point The second point to compare
  * @returns TRUE if the points are sufficiently close to each other
  */
-export function pointsEqual<
-  Point extends GlobalPoint | LocalPoint | ViewportPoint,
->(a: Point, b: Point): boolean {
+export function pointsEqual<Point extends GenericPoint>(
+  a: Point,
+  b: Point,
+): boolean {
   const abs = Math.abs;
   return abs(a[0] - b[0]) < PRECISION && abs(a[1] - b[1]) < PRECISION;
 }
@@ -106,9 +91,11 @@ export function pointsEqual<
  * @param angle The radians to rotate the point by
  * @returns The rotated point
  */
-export function pointRotateRads<
-  Point extends GlobalPoint | LocalPoint | ViewportPoint,
->([x, y]: Point, [cx, cy]: Point, angle: Radians): Point {
+export function pointRotateRads<Point extends GenericPoint>(
+  [x, y]: Point,
+  [cx, cy]: Point,
+  angle: Radians,
+): Point {
   return point(
     (x - cx) * Math.cos(angle) - (y - cy) * Math.sin(angle) + cx,
     (x - cx) * Math.sin(angle) + (y - cy) * Math.cos(angle) + cy,
@@ -123,9 +110,11 @@ export function pointRotateRads<
  * @param angle The degree to rotate the point by
  * @returns The rotated point
  */
-export function pointRotateDegs<
-  Point extends GlobalPoint | LocalPoint | ViewportPoint,
->(point: Point, center: Point, angle: Degrees): Point {
+export function pointRotateDegs<Point extends GenericPoint>(
+  point: Point,
+  center: Point,
+  angle: Degrees,
+): Point {
   return pointRotateRads(point, center, degreesToRadians(angle));
 }
 
@@ -143,8 +132,8 @@ export function pointRotateDegs<
  */
 // TODO 99% of use is translating between global and local coords, which need to be formalized
 export function pointTranslate<
-  From extends GlobalPoint | LocalPoint | ViewportPoint,
-  To extends GlobalPoint | LocalPoint | ViewportPoint,
+  From extends GenericPoint,
+  To extends GenericPoint,
 >(p: From, v: Vector = [0, 0] as Vector): To {
   return point(p[0] + v[0], p[1] + v[1]);
 }
@@ -156,9 +145,7 @@ export function pointTranslate<
  * @param b The other point to create the middle point for
  * @returns The middle point
  */
-export function pointCenter<P extends LocalPoint | GlobalPoint | ViewportPoint>(
-  ...p: P[]
-): P {
+export function pointCenter<P extends GenericPoint>(...p: P[]): P {
   return pointFromPair(
     p
       .reduce((mid, x) => [mid[0] + x[0], mid[1] + x[1]], [0, 0])
@@ -174,9 +161,10 @@ export function pointCenter<P extends LocalPoint | GlobalPoint | ViewportPoint>(
  * @param b The other point to act like the vector to translate by
  * @returns
  */
-export function pointAdd<
-  Point extends LocalPoint | GlobalPoint | ViewportPoint,
->(a: Point, b: Point): Point {
+export function pointAdd<Point extends GenericPoint>(
+  a: Point,
+  b: Point,
+): Point {
   return point(a[0] + b[0], a[1] + b[1]);
 }
 
@@ -188,9 +176,10 @@ export function pointAdd<
  * @param b The point which will act like a vector
  * @returns The resulting point
  */
-export function pointSubtract<
-  Point extends LocalPoint | GlobalPoint | ViewportPoint,
->(a: Point, b: Point): Point {
+export function pointSubtract<Point extends GenericPoint>(
+  a: Point,
+  b: Point,
+): Point {
   return point(a[0] - b[0], a[1] - b[1]);
 }
 
@@ -201,9 +190,7 @@ export function pointSubtract<
  * @param b Second point
  * @returns The euclidean distance between the two points.
  */
-export function pointDistance<
-  P extends LocalPoint | GlobalPoint | ViewportPoint,
->(a: P, b: P): number {
+export function pointDistance<P extends GenericPoint>(a: P, b: P): number {
   return Math.hypot(b[0] - a[0], b[1] - a[1]);
 }
 
@@ -216,9 +203,7 @@ export function pointDistance<
  * @param b Second point
  * @returns The euclidean distance between the two points.
  */
-export function pointDistanceSq<
-  P extends LocalPoint | GlobalPoint | ViewportPoint,
->(a: P, b: P): number {
+export function pointDistanceSq<P extends GenericPoint>(a: P, b: P): number {
   return Math.hypot(b[0] - a[0], b[1] - a[1]);
 }
 
@@ -230,9 +215,7 @@ export function pointDistanceSq<
  * @param multiplier The scaling factor
  * @returns
  */
-export const pointScaleFromOrigin = <
-  P extends GlobalPoint | LocalPoint | ViewportPoint,
->(
+export const pointScaleFromOrigin = <P extends GenericPoint>(
   p: P,
   mid: P,
   multiplier: number,
@@ -247,9 +230,7 @@ export const pointScaleFromOrigin = <
  * @param r The other point to compare against
  * @returns TRUE if q is indeed between p and r
  */
-export const isPointWithinBounds = <
-  P extends GlobalPoint | LocalPoint | ViewportPoint,
->(
+export const isPointWithinBounds = <P extends GenericPoint>(
   p: P,
   q: P,
   r: P,
diff --git a/packages/math/polygon.ts b/packages/math/polygon.ts
index f844ab8d0c..557dd78692 100644
--- a/packages/math/polygon.ts
+++ b/packages/math/polygon.ts
@@ -1,23 +1,17 @@
 import { pointsEqual } from "./point";
 import { lineSegment, pointOnLineSegment } from "./segment";
-import type { GlobalPoint, LocalPoint, Polygon, ViewportPoint } from "./types";
+import type { GenericPoint, Polygon } from "./types";
 import { PRECISION } from "./utils";
 
-export function polygon<Point extends GlobalPoint | LocalPoint>(
-  ...points: Point[]
-) {
+export function polygon<Point extends GenericPoint>(...points: Point[]) {
   return polygonClose(points) as Polygon<Point>;
 }
 
-export function polygonFromPoints<
-  Point extends GlobalPoint | LocalPoint | ViewportPoint,
->(points: Point[]) {
+export function polygonFromPoints<Point extends GenericPoint>(points: Point[]) {
   return polygonClose(points) as Polygon<Point>;
 }
 
-export const polygonIncludesPoint = <
-  Point extends LocalPoint | GlobalPoint | ViewportPoint,
->(
+export const polygonIncludesPoint = <Point extends GenericPoint>(
   point: Point,
   polygon: Polygon<Point>,
 ) => {
@@ -42,9 +36,7 @@ export const polygonIncludesPoint = <
   return inside;
 };
 
-export const pointOnPolygon = <
-  Point extends LocalPoint | GlobalPoint | ViewportPoint,
->(
+export const pointOnPolygon = <Point extends GenericPoint>(
   p: Point,
   poly: Polygon<Point>,
   threshold = PRECISION,
@@ -61,16 +53,12 @@ export const pointOnPolygon = <
   return on;
 };
 
-function polygonClose<Point extends LocalPoint | GlobalPoint | ViewportPoint>(
-  polygon: Point[],
-) {
+function polygonClose<Point extends GenericPoint>(polygon: Point[]) {
   return polygonIsClosed(polygon)
     ? polygon
     : ([...polygon, polygon[0]] as Polygon<Point>);
 }
 
-function polygonIsClosed<
-  Point extends LocalPoint | GlobalPoint | ViewportPoint,
->(polygon: Point[]) {
+function polygonIsClosed<Point extends GenericPoint>(polygon: Point[]) {
   return pointsEqual(polygon[0], polygon[polygon.length - 1]);
 }
diff --git a/packages/math/segment.ts b/packages/math/segment.ts
index 3f91a1deef..a3fa629b91 100644
--- a/packages/math/segment.ts
+++ b/packages/math/segment.ts
@@ -4,13 +4,7 @@ import {
   pointFromVector,
   pointRotateRads,
 } from "./point";
-import type {
-  GlobalPoint,
-  LineSegment,
-  LocalPoint,
-  Radians,
-  ViewportPoint,
-} from "./types";
+import type { GenericPoint, LineSegment, Radians } from "./types";
 import { PRECISION } from "./utils";
 import {
   vectorAdd,
@@ -26,14 +20,14 @@ import {
  * @param points The two points delimiting the line segment on each end
  * @returns The line segment delineated by the points
  */
-export function lineSegment<P extends GlobalPoint | LocalPoint | ViewportPoint>(
+export function lineSegment<P extends GenericPoint>(
   a: P,
   b: P,
 ): LineSegment<P> {
   return [a, b] as LineSegment<P>;
 }
 
-export function lineSegmentFromPointArray<P extends GlobalPoint | LocalPoint>(
+export function lineSegmentFromPointArray<P extends GenericPoint>(
   pointArray: P[],
 ): LineSegment<P> | undefined {
   return pointArray.length === 2
@@ -46,7 +40,7 @@ export function lineSegmentFromPointArray<P extends GlobalPoint | LocalPoint>(
  * @param segment
  * @returns
  */
-export const isLineSegment = <Point extends GlobalPoint | LocalPoint>(
+export const isLineSegment = <Point extends GenericPoint>(
   segment: unknown,
 ): segment is LineSegment<Point> =>
   Array.isArray(segment) &&
@@ -63,9 +57,7 @@ export const isLineSegment = <Point extends GlobalPoint | LocalPoint>(
  * @param origin
  * @returns
  */
-export const lineSegmentRotate = <
-  Point extends LocalPoint | GlobalPoint | ViewportPoint,
->(
+export const lineSegmentRotate = <Point extends GenericPoint>(
   l: LineSegment<Point>,
   angle: Radians,
   origin?: Point,
@@ -80,9 +72,7 @@ export const lineSegmentRotate = <
  * Calculates the point two line segments with a definite start and end point
  * intersect at.
  */
-export const segmentsIntersectAt = <
-  Point extends GlobalPoint | LocalPoint | ViewportPoint,
->(
+export const segmentsIntersectAt = <Point extends GenericPoint>(
   a: Readonly<LineSegment<Point>>,
   b: Readonly<LineSegment<Point>>,
 ): Point | null => {
@@ -115,9 +105,7 @@ export const segmentsIntersectAt = <
   return null;
 };
 
-export const pointOnLineSegment = <
-  Point extends LocalPoint | GlobalPoint | ViewportPoint,
->(
+export const pointOnLineSegment = <Point extends GenericPoint>(
   point: Point,
   line: LineSegment<Point>,
   threshold = PRECISION,
@@ -131,9 +119,7 @@ export const pointOnLineSegment = <
   return distance < threshold;
 };
 
-export const distanceToLineSegment = <
-  Point extends LocalPoint | GlobalPoint | ViewportPoint,
->(
+export const distanceToLineSegment = <Point extends GenericPoint>(
   point: Point,
   line: LineSegment<Point>,
 ) => {
diff --git a/packages/math/triangle.ts b/packages/math/triangle.ts
index bc74372b7c..8e6144e83a 100644
--- a/packages/math/triangle.ts
+++ b/packages/math/triangle.ts
@@ -1,4 +1,4 @@
-import type { GlobalPoint, LocalPoint, Triangle } from "./types";
+import type { GenericPoint, Triangle } from "./types";
 
 // Types
 
@@ -11,7 +11,7 @@ import type { GlobalPoint, LocalPoint, Triangle } from "./types";
  * @param p The point to test whether is in the triangle
  * @returns TRUE if the point is inside of the triangle
  */
-export function triangleIncludesPoint<P extends GlobalPoint | LocalPoint>(
+export function triangleIncludesPoint<P extends GenericPoint>(
   [a, b, c]: Triangle<P>,
   p: P,
 ): boolean {
diff --git a/packages/math/types.ts b/packages/math/types.ts
index 107cfd2c62..6f84c9c7b3 100644
--- a/packages/math/types.ts
+++ b/packages/math/types.ts
@@ -58,7 +58,7 @@ export type GenericPoint = GlobalPoint | LocalPoint | ViewportPoint;
 /**
  * A line is an infinitely long object with no width, depth, or curvature.
  */
-export type Line<P extends GlobalPoint | LocalPoint> = [p: P, q: P] & {
+export type Line<P extends GenericPoint> = [p: P, q: P] & {
   _brand: "excalimath_line";
 };
 
@@ -67,10 +67,7 @@ export type Line<P extends GlobalPoint | LocalPoint> = [p: P, q: P] & {
  * line that is bounded by two distinct end points, and
  * contains every point on the line that is between its endpoints.
  */
-export type LineSegment<P extends GlobalPoint | LocalPoint | ViewportPoint> = [
-  a: P,
-  b: P,
-] & {
+export type LineSegment<P extends GenericPoint> = [a: P, b: P] & {
   _brand: "excalimath_linesegment";
 };
 
diff --git a/packages/math/vector.ts b/packages/math/vector.ts
index 94849d0e38..d987ea1b00 100644
--- a/packages/math/vector.ts
+++ b/packages/math/vector.ts
@@ -1,4 +1,4 @@
-import type { GlobalPoint, LocalPoint, Vector, ViewportPoint } from "./types";
+import type { GenericPoint, Vector } from "./types";
 
 /**
  * Create a vector from the x and y coordiante elements.
@@ -23,9 +23,10 @@ export function vector(
  * @param origin The origin point in a given coordiante system
  * @returns The created vector from the point and the origin
  */
-export function vectorFromPoint<
-  Point extends GlobalPoint | LocalPoint | ViewportPoint,
->(p: Point, origin: Point = [0, 0] as Point): Vector {
+export function vectorFromPoint<Point extends GenericPoint>(
+  p: Point,
+  origin: Point = [0, 0] as Point,
+): Vector {
   return vector(p[0] - origin[0], p[1] - origin[1]);
 }