The Roots of Unity in the Complex Plane

​
root
10
+1
-1
plot
numbers
10
1
1
1
4
+
5
4
+
5
8
-
5
8
-
1
4
+
5
4
+
5
8
+
5
8
1
4
-
5
4
+
5
8
+
5
8
-
1
4
-
5
4
+
5
8
-
5
8
-1
-
1
4
-
5
4
-
5
8
-
5
8
1
4
-
5
4
-
5
8
+
5
8
-
1
4
+
5
4
-
5
8
+
5
8
1
4
+
5
4
-
5
8
-
5
8
This Demonstration shows the roots of positive and negative 1 in the complex plane.

External Links

Root (Wolfram MathWorld)
Root of Unity (Wolfram MathWorld)
Argand Diagram (Wolfram MathWorld)

Permanent Citation

Rudolf Muradian
​
​"The Roots of Unity in the Complex Plane"​
​http://demonstrations.wolfram.com/TheRootsOfUnityInTheComplexPlane/​
​Wolfram Demonstrations Project​
​Published: September 28, 2007