diff --git a/index.html b/index.html
index 6e73dfe..3d4c3c0 100644
--- a/index.html
+++ b/index.html
@@ -202,10 +202,19 @@ <h4>what are three solutions to these:</h4>
 c1 :: 3
 d1 :: 13
 it isnt in order, and our scale is constantly growing. continue on with this subseries, a box if u will. apply phyiscal laws and let’s also dicsuss the perturbation of electromagnetic field via flame ore fire: 
-- 
+-
 ```
-
-
+ii = 0.207879576... (Here i is the imaginary number sqrt(-1). Isn't this a real beauty? How many people have actually considered rasing i to the i power? If a is algebraic and b is algebraic but irrational then ab is transcendental. Since i is algebraic but irrational, the theorem applies. 
+  
+ i^i is equal to e(- pi / 2 ) and several other values. Consider i^i = e(i log i ) = e( i times i pi / 2 ) . Since log is multivalued, there are other possible values for i^i.
+Here is how you can compute the value of i^i = 0.207879576...
+1. Since e^(ix) = Cos x + i Sin x, then let x = Pi/2.
+2. Then e^(iPi/2) = i = Cos Pi/2 + i Sin Pi/2; since Cos Pi/2 = Cos 90 deg. = 0. But Sin 90 = 1 and i Sin 90 deg. = (i)*(1) = i.
+3. Therefore e^(iPi/2) = i.
+4. Take the ith power of both sides, the right side being i^i and the left side = [e^(iPi/2)]^i = e^(-Pi/2).
+5. Therefore i^i = e^(-Pi/2) = .207879576...
+
+Does this seem familiar?
  ⁠
 1/2⁠ + i t