Photo Trip

With my son at the wheel (so I could hang out of the window and take pictures), I set off yesterday to take photos along route 60. The photos I took were a surprise -- hay bales! So I am going to start to do a series of paintings on hay bales. I love humor in art!

Official Business

My business has now been registered with the county and the states tax department for sales tax reporting! Awesome.

Chapter 12

After chapter 11 which had some long difficult predicate logic proofs, chapter 12 is such a break. This chapter is on identities or "x=y" type statements.

So when I approached the proofs, my brain was still in "the more difficult proof" mode. It was somewhere about the third proof I realized that the proofs were very easy! My brain was making them more complicated than necessary! The first time I did one proof, I finished in 40+ steps. Then I decided to go back and redo the proof to see how streamlined I could get it. It decreased to 18 steps. Then I realized I could streamline it even more and I realized the proof had extraneous information that I did not need to use at all! Following is the ultra-streamlined proof.

The Proofs Of Increasing Difficulty

Embedded Proofs

Truly Grueling Proof

40 steps so I had to spkit it into two sections.

It took sooo long to get this proof!

Edge

Gouache and watercolor

30" by 22"

May, 2009

Gouache

I have fallen in love with gouache. I love its intense colors. I love its "flatness" when it dries. i love the fact that I can control it better than watercolor. Fabulous paint!

What are we missing?

We are stuck in our three dimensional existence; and that dimensional existence hinders us from seeing past that existence. Could our understanding of the quantum world benefit from investigating in both one and two dimensional spaces? We could accomplish this through our mathematics, but I do not believe we have any means to measure and detect in any other dimensional array than our current three. I wonder what we are missing. There are known missing pieces in our current understanding of light, gravitational theory and quantum theory do not line up, and entanglement is a mystery. Perhaps if we could measure fewer dimensions these current quantum issues would resolve. Maybe we would find that every where we go our atoms leave a personal quantum signature (seems unlikely with our current quantum understanding). What are we missing?

Thomas Paquette

I have become curious about gouache so I sent for a couple of books. One of the books covered gouache paintings by an artist, Thomas Paquette. following is his web site. Beautiful paintings! http://www.thomaspaquette.com/main.html

Ink On Watercolor Paper

I am using Rotring Rapidograph pens (http://octoberthoughts3.blogspot.com/2008/11/rotring-vs-koh-i-noor.html ), and Arches 140 lb. cold press paper. I got a surprise today. The rapidograph ink spreads out less on the watercolor paper than on drawing paper so I need to use the larger nibs! What a surprise. Any point smaller than .35 almost disappears on the paper. Points .5 and above look the best. What a surprise. Even 2.0 looks fairly good although it is probably the maximum size before the ink would have too much texture.

Wonders of the Internet

The Internet certainly does have its issues, but it is also such a wonderful resource. I want to begin an ink and watercolor painting and began to wonder if the sizing on the paper would interfere with the ink by clogging my technical pens. I tried researching over the Internet and could not find an answer. Then I went to B&N's site and looked for books. I found several by an artist, Googled that artist, found the artist's website and emailed her (she is out in Portland, OR). I got a response in less than a half-hour! I do not have to worry about the sizing as i am using high quality paper. So great to be able to network with other artists!

Two Kayakers

Appalachian Trail