**Header Image** Taken by** James Massa**, Site: http://www.jamesmassa.com

**If you donâ€™t already have the books for this class, use the link below to download them. : )**

https://drive.google.com/folderview?id=0B-i_cSBjv-ymTzNpSTIwQU1NTDA&usp=sharing

Larisa when you asked me to come up with a pattern â€“ what popped into my head was the graph of sine and cosine.

You didnâ€™t like it â€“ I will share with you what I have since learnedÂ because that is what you have asked us to do for this assignment Larisa – otherwise I would have just kept this to myself.

I wondered why I found the simple graph of sine and cosine so appealing. I made sine red and cosine blue â€“ I wanted to show it to you, but you didnâ€™t want to see it â€“ anywayâ€¦ I started to look into this, I found a great deal of information: trying to omit most of the math terminology Iâ€™ll point out what I’ve learned from sine and cosine and how and why they are so relevant to design.

- The Fibonacci Sequence â€“ Leonardo da Vinci was on to something hereâ€¦
- If you take the numbers from the Fibonacci sequence and you make an irrational expression from them â€“ simplify the expression â€“ then solve for x by setting up the expression as a quadratic equation you get something you can use for designing layouts.

X = 1.618â€¦â€¦â€¦. this number goes on forever – think of pi â€“ itâ€™s just like that but this one is called phi. You can round it off to 3 decimal places because this is all you will need for design work.

This is how it works. Letâ€™s say I want to do a layout â€“ the format is a standard piece of paper â€“ 8.5in by 11inâ€™s.

Step 1. Multiply 1.618 x 11. This equals 17.798. Take this number and subtract 11. This will equal, 6.798 you can use this exact number (if youâ€™re doing your layout on a computer) or you can just round it off to 7.

Step 2. Subtract 6.798 from 11. This equals 4.202. You can use the exact number or just round it off to 4.

You now have the ratio of 7 to 4. Or 4 to 7.

Step 2. Multiply 1.618 x 8.5. This equals, 13.753. Take this number and subtract 8.5. This will equal 5.253. Subtract 5.253 from 8.5. This will equal 3.247. You can round off to 1 decimal place or round of to whole numbers. Youâ€™ll get a ratio of 5.3 to 3.2 or 3.2 to 5.3 â€“ or 5 to 3 or 3 to 5.

So what does this mean for designâ€¦ does the diagram below ring any bells? I think you may have come across something like this before? Â This is is useful information that I can use! This is what Iâ€™ve learned from this exercise on my ownâ€¦ combine this with gestalt principles and see the diagram below.

Oh, and of course, the other things that I have learned is what you wanted to Â instill in me Larisa – when cutting out and gluing pieces of paper be mindful of my craftsmanship – okay, got it. I wonâ€™t ever forget that important information.