Two proofs uploaded to my website

I have just uploaded the proofs to the statements made in two earlier posts:

• Curious occurrence of the powers of 4
• Property of a 120 degree triangle. 

Here are the links:

• Powers of 4 (screen)
• Powers of 4 (pdf)
• 120 degree triangle (screen)
• 120 degree triangle (pdf)

Comments are welcome! I am particularly interested in generalizations or variations.