Saturday, April 18, 2009

I do not exist - Condensate

My earlier posts established that I am insane... and you are too... as a matter of fact, I proposed to you that I do not exist... and neither do you.  I promised 4 simple arguments... First, my perception of me... is all in my head!  There is no objective evidence that I exist... my brain is totally isolated from what it perceives.  My argument from the Microscope showed that we are composed of transient stuff... what am I anyway?  Even my bones are totally new every 3 years.  The third argument went from the Cosmic "soup" of stars dense enough to fill high magnification photos, to the vast empty space between the sub atomic particles that compose every object around us.  That chair you are sitting on does not exist... it is just micro dust specs with thousands of times the empty space between.  Or, is it...

In my last existence post I mentioned that the teachers who showed me that my chair did not exist still lied to me!  Even the molecules, atoms, electrons, protons and neutrons do not exist!

What???  It is even more amazing that this was known long before I was born in 1949!  For example, The foundations of quantum physics were laid back in the 20's.  Heisenberg stated his famous Uncertainty Principle in 1927.  One simple example of this is trying to find the location of an electron.  The energy you use to observe the electron, moves the electron so that it is no longer there!  You can measure velocity or position, but not both at the same time.  Another example that I use all the time is tuning my guitar using beat frequencies.  I start by tuning one string to some source, then use that string to tune a second string.  I press the string to a fret so that the two strings play the same pitch.  Then I listen.  If I hear a beat in the sound, I tune the second string until the beat slows down.  In order to tune the string perfectly, I would need to wait forever to prove that there was no beat!  So, I just get it slow enough that I make it faster if I try to get it closer.
All sorts of strange things happen in the realm of quantum physics.  Another example is the double slit experiment.  Back in 1803 Thomas Young explained the phenomenon where light passes through two slits and forms an interference pattern on a screen behind the slits. What should particles do?  If you shoot bullets at a slit in a steel wall, you see a line of bullet holes in the screen behind the wall.  OK, so make two slits, and what would you see?  Yep, 2 lines of holes, each neatly behind the 2 slits.  Easy!  We use electron guns to make (now old style) TV displays (cathode ray tubes).  So, lets shoot electron "bullets" at 2 slits... we should see two neat lines of "electron hits" behind the slits - right?  However, we do not!  Instead, we see electron hits in an interference pattern just like the light made!  What?  The electrons behaved like waves, not like particles.  Some described the electrons as merely "probability" distributions, and others talked about the paths they took.  For example, in 1948 Feynman published his "Path Integral" explanation.  Basically he said that the particle traveled all possible paths to it's destination!  Weird!  More double slit into.

 Of course, one of the most amazing and famous things that was stated around this time was Einsteins formula, E = MC**2 (1917).  Basically, it says that matter and energy are interchangeable!  If you think of that in light of our discussions of particles and waves, you must deal with the fact that those particles we perceive are just a manifestation of the energy that composes them.  If you want to visualize the universe as starting in a big bang, then think about it as God imagining a 4-dimensional (at least) space, then thumping it with a big old finger to instantly create "all the stuff that ever was and ever will be"... stuff = matter = waves = energy.  The wave-particles are all held together by electro/magnetic/atomic force to cause us to perceive them as solid objects... Can you feel the vibs yet?

So, we can not figure out where an electron is, and we see that it behaves as a wave as well as a particle and is just a manifestation of big bang energy.  So basically, we can visualize the electron as "popping in and out" of existence in the vicinity of the nucleus of an atom in one of the discrete bands determined by its quantum state sort of like it would appear randomly in an interference band behind two slits.  The other building blocks of the atoms, the neutrons and protons are made from bosons that behave in similar ways to the electrons, so you see... even the subatomic particles do not exist!  So, the atoms do not exist... so I do not exist!  Simple - eh?

Now for a final example, lets get to the condensate... back in 1924-25 Satyendra Nath Bose and Albert Einstein imagined a very odd behavior of matter.  They said that if matter could be cooled to near absolute zero, the atoms would become totally indistinguishable!  Basically, thy would become a glob, not individual anymore.  As it turned out, we did not get to observe this behavior until 1995, right here in good ol'e Colorado at CU.  They used the wave troughs of laser light to grab the atoms, and thus, cool them, and an electro-magnetic field to lock them into the center of the beam so that they could not bounce into other atoms and heat up again.  When they accomplished their goal, they saw the phenomenon. The atoms got "fuzzier" and "fuzzier" until they just merged together into one condensed blob!  Double weird!!  Atoms are not the nice little solar systems we were told about, are they?  http://en.wikipedia.org/wiki/Bose-Einstein_condensate   More details http://physicsworld.com/cws/article/print/2242

Well, you may not think these  arguments have been simple as I promised, but I think I can summarize them simply... I do not exist because...

- My perception of myself is based on a remote sensing scam.   My brain interprets sensations that come in from remote sensors via electrical impulses and does not actually experience any of the things that it perceives.  That does not prove that I do not exist, but it opens the possibility that I might not exist.

- Any Microscope shows that my body is not any thing like I think it is!  It is a battle field of microscopic beings, worms, mites, foreign cells, and many other things and even the part that I think of as "me" is constantly refreshed, even including my bones within 3 years!  After I die, liquids and gases are released as the soft stuff rots until only a tiny collection of minerals is left behind.

-- The Cosmos is a soup of particles called stars with vast intervening empty space... ah... except the 2 Hydrogen nuclei per cm**3... Then, zoom down to the super-microscopic world of atoms and we find the same thing... tiny specs of "matter" with comparatively vast volumes of emptiness between them... basically, the chair you are sitting on is nothing but empty space with some specs held together by electrical force.  Go ahead... jump up and down on it...

-- Finally, that solar system picture of the atoms was false too!  Not only are the atomic components made from other, smaller entities, but those entities do not behave like particles at all!  They flip in and out of existence and can not even be located!  How can they make something that does exist?

Like me for example, I do not exist.  At least not in the way that I perceive myself to exist...  not in the sense that I am sitting here on my non-existent chair, typing with a non-existent keyboard a non-existent message... oh bother...

The only thing that finally relieved my tension, felt from childhood, of realizing that I did not exist was finally figuring out that I did exist!  I exist in exactly the way that the creator created me to exist, and how He designed me to perceive my existence.  I think I said it simply in an earlier post... I am a figment of His imagination, not mine.  Sorry Rene... He thinks, therefore I am.

Ac 17:28 - for in Him we live and move and exist, as even some of your own poets have said, `For we also are His children.'  (NAS - CrossWalk online Bible)

Tuesday, January 20, 2009

2000 kWh/y with a 30' vertical turbine!

Greentheo... we just got bested!  Forget the Stalkerator!  These guys can generate around 2000 kWh/year with a 30' vertical wind turbine.  The article does not say what kind of windy knob you have to live on to do that, but the Mariah site says you only need an average wind speed of 12 mph!  The sample home they showed seemed to be in a reasonable location.  http://www.popsci.com/bown/2008/gallery/mariah-power-windspire-photo-gallery  With a 30' height, small footprint, and quiet operation, they can get past a lot of neighborhood restrictions... probably not in my current location though...  (only 8.8 dba in 50mph wind!)   I could not find a price.  They had a "nice" cost-saving calculator on the site, but alas, one of the fields you had to put in was the cost of the unit... duh...

I first learned about vertical turbines years ago when I read about Darrieus turbines which were invented in 1931 by French engineer Georges_Jean_Marie_Darrieus. (http://en.wikipedia.org/wiki/Darrieus_wind_turbine)  The Mariah unit seems to be a close cousin, or maybe a nephew!

Greentheo and I have been blogging about several energy producing and saving ideas and have noted several examples of homes that only needed 1000 kWh/y.  With this turbine you could splurge and watch cartoons on Saturday morning! OK Greentheo, I am ready to go build my papercrete elliptical dome in the boonies with my own little power source!  I hope the wind is blowing on those cold Colorado nights!

Wednesday, January 14, 2009

Mars fuel to go please...

I have read quite a bit about the water ice found on Mars.  I have read a lot about the prospects of life on Mars, but not much about something that immediately struck me when I heard it... Fuel to go!

As I have blogged about elsewhere, a big problem with distant space travel is carrying enough reaction mass to propel the craft.  It takes an incredible amount of O2 and H2 to get our big payloads off this planet, so we must keep the amount of fuel we carry to a minimum.  On the other hand there is a big difference between carrying fuel and carrying energy.  A lot of energy can be carried by using nuclear sources, but what can you do with that energy if there is nothing on board to use the energy to throw out the back - ya know?

Enter ICE.  Yep, good old ice.  You can get several kinds of ice on Mars including water ice and "dry" ice (CO2).  So, one of the really important aspects of finding ice on Mars is that we do not need to schlep our reaction mass up there for the return flight!  All we need to do is take the energy!  Actually, we could even capture some of the energy while we were on Mars by using solar panels.

How could we use the ice?  Well I know of a couple of ways.  One would be to  melt the ice, then use hydrolysis to split the water into H2 and O2 (or Brown's gas).  That could go into standard rocket engines to blast off and return.  Other folks are working on ways to use high energy fission products to heat gas for use in rockets.  In that case, all you have to do is start the fission, then throw in either kind of ice and ZOOM!

I suppose reaction mass is not as sexy as finding life, but I think it could get us boots on the ground a lot faster if we did not have to lift fuel for the return flight.  What do you think?

Mars colony mining ice.  http://www.redcolony.com/art.php?id=0401070

americium-242m high energy fission products for space travel:  http://www.sciencedaily.com/releases/2001/01/010103073253.htm

Monday, December 22, 2008

Siphon wick saves the day

Over the weekend the weather in Denver was very cold!  Wouldn't ya' know it, the heat in our house started acting up... that could fill a book!  So, let me just tell you about one problem... a dripping air release valve.

Over the years the little valve occasionally spits and sputters a bit, which is it's only job in our hot water heat system.  Last week it started dripping... oh bother!  I put a little metal lid under it to catch the water where it could evaporate.  I quickly found out that the drip was too fast for that and it overflowed the lid.  I put a larger lid under the valve and it only required a paper towel spunge and a few trips to the nearby sink to dump the lid.

Saturday night the drip got so fast that it needed dumping every 2 hours... it was 3:00 AM and how was I going to sleep???  I decided to try a siphon wick to see if that would save me from hving to try to seal a hole around a tube to take the water from the lid into the floor overflow drain.

Siphon wicks are often used around machinery.  Basically you have a cup with oil in it and a stand tube from the bottom of the cup up the center.  a wick is dipped into the oil, is fed down the tube onto a bearing and the top is allowed to fold over the lip of the tube and dangle into the cup of oil.  So, one end of the wick is in the cup of oil and the wick goes up over the tube edge then down the center of the tube and out the bottom of the tube above the bearing.  This configuration causes a slow steady drip of oil from the wick and can empty the cup!  Amazing!  It works by cappilary action.  If you think that is not strong enough, think about the fact that the same force pulls water up 200' to the top of a tree!  http://www33.brinkster.com/iiiii/mccoy/wick.html

For my applidation, I changed the configuration some.  Like I said, I did not want to punch a hole in the lid and try to seal it - if I wanted to do that, I could just install a tube drain.  So, I took some flexible clear plastic tubing with 1/4" id.  I tore a 12" x 3" strip of paper towel and rolled it up into a semi-stiff rope.  I pushed the dry towel rope into the tube while twisting it until only a tiny end stuck out.  I used some scrap copper wire to tie the tube end into a "J" and hooked that ofer the edge of the lid so that the wick got wet.  The tube went over the edge of the boiler case and down to the floor drain.

To my great amazement, the wick immediately pulled the water up, over the bend and started soaking the wick the rest of the way down the tube.  The next issue was whether the water would drip off the end of the wick and on down the tube to the drain.  It took a while and I was a little nervous because the water was rising in the lid!  Soon I saw drips going down the tube!  Woo Hoo!  Was it fast enough?

It was.  Actually, I got another surprise.  Every now-and-then the water would start to make little "plugs" in the tube rather than running down the tube.  That scared me at first until I saw that the plugs were slowly moving down the tube with new plugs forming above.  As soon as there were enough plugs, they would weigh enough to actually start a regular siphon that drained the entire lid very quickly.  Then, the system would go back into it's slow drip mode.  This tided me over until I could get my heater guy over to take a look on Monday.  He was very impressed by my siphon wick gadget and very glad that he was not called at 3:00 AM!

While snooping around for other examples of siphon wick applications for this post, I found the quintessential case... enjoy reading about a siphon wick used to dispense "bear repellant"...

http://www.ultimatesportsmen.com/stories2/curley.html  (0ops...  link is to a general blog and I can not find that specific post...  anyway... the guy said that when he camps he "marks his spot" by pissing on trees around the perimeter! Now, when he wants to be sure it stays fresh, he pees into a bottle and hangs a little bit of wet rope into the bottle and down the side.  That starts a siphon wick that produces a slow drip!)

Saturday, December 20, 2008

The no-nap-cap

I have an amazing ability... I can fall asleep from being wide awake in just a few seconds... but only if I am driving.  ugh.

You can imagine that this skill has created some interesting times on long driving trips and even occasionally on my short commute to work.  What's a guy to do???  I had a sleep study done and found out that I have sleep apnea.  I got a CPAP and that helped tremendously with my daytime sleepiness... except as soon as I touch a steering wheel!

Driving sleepiness is a big problem.   http://www.drowsydriving.org/ is a site devoted to helping people be more aware of the dangers.  It is as dangerous as driving drunk! Here are a few highlights from the drowsy driving site:

• The National Highway Traffic Safety Administration estimates that at least 100,000 police-  reported crashes each year are the direct result of driver fatigue. (NHTSA)

• Each year drowsy driving crashes result in at least 1,550 deaths, 71,000 injuries and $12.5 billion in monetary losses. (NHTSA)

• Approximately 11 million drivers admit they have had a crash or near crash because they dozed  off or were too tired to drive. (2005 Sleep in America poll)

• According to NSF surveys, half of Americans consistently report that they have driven drowsy and approximately 20% admit that they have actually fallen asleep at the wheel in the previous year.

So, I am not alone.  Some states have moved toward serious consequences for sleepy drivers.  In Massachusetts in 2007, Senator Richard Moore pushed for a law to make it vehicular homicide if a sleepy driver causes a fatal accident.  If passed they would join with New Jersey in charging sleepy drivers.

I "got my wake up call" in a little nicer manner.  One year as we were loading up the car to start a long trip my wife set a cold spray bottle on the console between us.  She looked me in the eye and said "go ahead, make my day".  The fear of having my ear filled with icy spray was enough to keep me awake!  It also reminded me of a Japanese invention I read about that I can not find by searching the internet... weird.  It was a pair of glasses that had a small refrigeration unit - possibly electrothermal cooling - that cooled the g-jo acupressure points (http://www.selfgrowth.com/articles/G-Jo_Acupressure_Instant_Relief_With_The_Touch_of_a_Finger.html) on the forehead to reduce sleepiness.  Try as I did, I could not find anything about the right g-jo points either!  ..maybe I was dreaming...  (Now the Japanese have a new thing with glasses.  They sense the tilt of the head and if you nod off they vibrate in your ear!  It interrupts the sleep inducing alpha waves!  They say it tickles too!  If I get sleepy in a meeting, I crunch on carrots! http://www.telegraph.co.uk/news/worldnews/asia/japan/1522985/How-the-Japanese-are-getting-a-buzz-out-of-falling-asleep-at-work.html, http://www.engadget.com/2007/01/30/mydo-bururu-glasses-vibrate-your-dome-to-prevent-sleep/)

Anyway, here is what I did to significantly reduce my drowsiness - after working on my sleep problems of course!  I decided that I did not need some fancy glasses to cool my pate!  Instead, I would use a swamp cooler!  That is how I cool my house, so why not my head?

I got a cheap, light brown terry cloth towel and cut it into a long rectangle about 4" by 12".  I folded the short edges in to the middle, then folded it in half again.  Now, I had a nice neat 4" x 3" terry pad.  I got the pad wet and let evaporation do the cooling.  I put the pad on my head and enjoyed a very awake and comfortable trip -- no spray in the ear!

I sometimes put ice in the upper fold to jump start the cooling, but usually it is not necessary.  I keep the pad quite wet - just short of it dripping.  I now carry a pad and a re-filled bottle of water in my car at all times.  I think it has saved my life!  If I see a sleepy driver on the road, I want to roll down my window and tell him about the no-nap-cap, or maybe grab a spray bottle.  : )?

btw... One young person was bugging me at work about my cap idea and how it would not work for him.  I agreed.  He had a very thick head of hair!  I told him that memories are processed during sleep and that the more intelligent you are, the more your brain heats up and wants to sleep.  That is why God gave older and wiser men a bald pate to help keep their brains cool.  In some cases, the intelligence was so extreme that even the bald pate was not enough to cool the brain, so it takes a little help from a moist pad.  He just walked away.  I suppose it beats slapping someone.

Thursday, December 18, 2008

I do not exist - Cosmos

It has been a while since I wrote about existence...  does being too tired and frazzled support that I exist or that I do not exist???  (Theo... I know I can not be a figment of my own imagination... but maybe I am a figment of someone else's imagination... they think, therefore I am...)

I started this train of thought by demonstrating that I am not sane... I do the same thing over and over again expecting a different result - I expect hot water when I turn on the hot water spigot... are you sane?  Then I said that I would give 4 simple arguments that I do not exist... and neither do you...

The first argument had to do with physical perception.  Our perception of the environment is a remote sensing scam!  Our brains could be hooked up to synthetic sensors and we would not even know it!  (Matrix movie stuff!)  The second argument had to do with a microscopic view of our bodies.  We never think about the fact that we are mostly water, Hydrogen, CO2, and Nitrogen.  When we die, we basically drift away - literally!  Moreover, while we are alive we are a huge collection of "stuff" that is not us (like little eyebrow worms) and the fact that all of the molecules in our bodies, including our bones are totally replaced at least every 3 years!!!

OK, so I do not exist in the way that I think I do when I look in the mirror - eh?  So, now let's look farther.  The 3rd argument I promised was Cosmology.  You know, Carl Sagan's star stuff. "The cosmos is all the stuff that ever was or ever will be."  Really?  Let's think about how empty the cosmos is.  They say that the best vacuum producible on earth barely approaches the vacuum of space.  Yet, since 1960 Robert Bussard and other dreamers have been looking at an ionic propulsion system that carries energy (nuclear), but no "fuel" to eject to propel the space craft.  Instead, the craft would use an electrostatic field to suck in ionized interstellar hydrogen molecules (2 per cm³).  The engine would use another strong electromagnetic system to eject the ions out the back or form a fusion reaction and eject the hot, heavier combinants.  (http://www.bbc.co.uk/dna/h2g2/alabaster/A600436, http://www.nationmaster.com/encyclopedia/Bussard-ramjet) Wow!  They are counting on there being a lot of "stuff" out there!

Another blogger posted a few weeks ago about black holes from "badastronomy.com" (http://blogs.discovermagazine.com/badastronomy/2008/10/30/ten-things-you-dont-know-about-black-holes/ (I was sure it was Stapler, but search and Google can't find the post!)).  If you were to fill a sphere as big as the orbit of Pluto with air, there would be enough mass to be a black hole!  So, while black holes are the densest thing we know, if we look at them as being everything inside the event horizon, then they are very non-dense!  We think of air as being light and with no substance, yet air holds up a super-cargo plane!

We think of space as "empty", but is it?.  We visited the Mount Palomar observatory in California.  We sat on a half-room sized bench which we later found out was a replica of the mirror!  We looked at an amazing series of photos taken by the telescope.  They surveyed the sky with low magnification and picked the dimmest frame, say f1.  Then, they bumped the magnification up and surveyed that frame to select the dimmest sub-frame f2.  They bumped the magnification again and surveyed f2 to find it's dimmest sub-frame, f3... etc.  through an amazing series of, as I remember, 12 frames.  The amazing-est thing is that once they were "blown up" each frame was just as "busy" with "stuff" as the original!  The sky is a dense soup of stars !!!  Yet it is empty...   The last frames showed mostly far away galaxies and quasars!

Did you see the amazing photos that made the email rounds last year showing the relative size of the various planets and stars?  It showed our tiny sun was a single pixel on Antares (http://www.webxact.co.uk/2008/08/these-pictures-will-humble-anyone.html).  Even though we think of the earth as huge and the sun as very huge, there is so much empty space between us and the moon that it takes days to travel there!  Even at the speed of light it takes 8 minutes to get from the sun to the earth!  It would take 4 years to get to our nearest neighbor star.  Our solar system, our galaxy, our cosmos is just a bunch of specs held together by gravity.

So now, lets look closer.  How about that table in front of you?  It is solid - right?  It is probably strong enough that you would sit or even stand on it... but, does it exist?  I mean in the way you perceive it?  Take a microscope and bump up the magnification.  At not very high magnification, the surface is no longer flat, but is a rough landscape of knotted strings!  Bump up the focus more, and the strings become coils of connected dots.  Further, and the strings are only specs connected by strong electric fields.   Actually, the molecular particles are even smaller, relative to the "orbits" of the electrons than the vast separation of the planets in the solar system! (http://hyperphysics.phy-astr.gsu.edu/Hbase/nuclear/nucuni.html)  What??? that table is like empty space!  It is just a bunch of specs held together by electrical attraction!!!  When did you think of that last?  You have know that since elementary school, but do you see that when you perceive that table?  Nope.  But really, that table does not exist!

The first time I realized this was when I was about 12.  I was on one of the very few, long driving trips I took with my parents.  I was reading Jules Vern's "Around the world in 80 days", a great science fiction story, which got me into the mood to think... OK, so I was dozing off... We had been studying molecular structure at school (No one told me it was a lie!  Next argument about waves...) I remember looking at the plastic cover on the back of my dad's seat and imagining it being a sea of vibrating, spinning, crashing atomic particles... quite an impression!  If you know me, think about me growing up "knowing" that the chair I sat in did not exist!  Now I make more sense to you - eh?  Feel the vibes???

It is actually amazing that we do not just slip through each other, drift right through the earth, or fly apart!  Then, there is the issue that the protons, neutrons, and electrons don't exist either... but that is another day, and another post.  I do not exist - Condensate.

Wednesday, December 10, 2008

Male and Female... why???

Ge 1:27 - So God created man in his own image, in the image of God he created him; male and female he created them. (NIV)

Right up there with "Why do I exist?" There is the question "Why did God make women? (or men)"  Some like to think about why God made mosquitoes, but I guess women are more interesting to me...

Really, it is sort of odd that he made Adam and then said "It is not good for man to be alone."  Did he make a mistake?  All the other times he said "It was good."  It seems to me that God had not completed his work with Adam.  Oops.. now I am back to why he made me... ah Adam...  It was very early in the bible, but rather late in the creation:  late in the 6th day.  After that even He had to take a rest!

In Matthew Henry's Commentary on the Whole Bible he notices that God changes from "Let there be..." to "Let us make..."
"In the former he speaks as one having authority, in this as one having affection; for his delights were with the sons  of men, Prov. 8:31. It should seem as if this were the work which he longed to be at; as if he had said, "Having at last settled the preliminaries, let us now apply ourselves to the business, Let us make man.""


So, if we take Henry's view, God provided all the rest of creation as a setting for his real purpose - to create His image in man... male and female he created them... back to that now... why male and female?  Why did it take 2 creatures to image God?

(NIV)
25. God made the wild animals according to their kinds, the livestock according to their kinds, and all the creatures that move along the ground according to their kinds. And God saw that it was good.


26. Then God said, "Let us make man in our image, in our likeness, and let them rule over the fish of the sea and the birds of the air, over the livestock, over all the earth, and over all the creatures that move along the ground."

27. So God created man in his own image, in the image of God he created him; male and female he created them.

As I pondered this last week.  I was thinking about carving... give me a minute...

A while back we took a driving trip up through South Dakota.  It was the first time I saw Rushmore!  We spent a night in Custer and visited the "National Museum of Wood Carving".  That was really cool and contains many amazing works by Dr. H. D. Niblack who worked closely with Disney on many projects.  http://www.blackhills.com/woodcarving/tours.htm.

They had classes about wood carving and one of the pamphlets showed some of the creative "simple" techniques to make a successful image.  Most things have simple keys once you see them.  With carving and sculpting, one way to proceed is to work in 2 dimensions at a time.  Imagine that you have a saw blade and you move the wood long that blade using a jig so that it follows the profile of an existing 3D object - like a face.  Put the original into a holder and a blank into another holder.  Move the jig so that the profile of the 3D face is cut into the blank.  Flip it over and do the back of the head.  It will not make much sense if you look at it from the front or back, but if you look from the side, you will clearly see the figure.  Now, rotate the blocks so that the two sides of the head are cut.  Now look!  It makes sense!  There is a lot of trim work to do, but you have the basic idea.

It is too hard for everyone to have the jigs and power saws, and besides, this is supposed to be carving! So, what they do is have 2 outline pictures of the original one from the side and one from the front.  Mathematically, these are two projections of the 3D object onto a 2D space. The carver first cuts the block to match one profile, then turns it in the hand and works on the other profile.  Unlike the saw technique, they constantly rotate the wood and jump from one projection to the other, but it is the same idea.

Now... back to the Adam/Eve thing... starting to get my thought?  The 2D image of the carving could not contain enough information to image the 3D shape, so they provide 2 different perspectives.  The thing that clicked into my brain last week is that this is one reason why God made both Adam and Eve to display his image!  So, he used 2 images to display himself more completely in our space!

The animals have male and female too, but I was not just thinking about the physical image although the carving example is just physical.  His image is not just the physical aspects but his very nature. There is more to me that just my physical 3D/4D projection in this universe.  Even so, our set of dimensions was incapable of displaying his image.

He says that when we marry we become one flesh.  What an incredible blessing and responsibility it is to bare his image and what a great work it is to ensure that my marriage also displays him in a more complete way.

btw... I use CrossWalk for most of my online bible work.  Check it out!
http://www.crosswalk.com/
http://biblestudy.crosswalk.com/