Monday, January 24, 2011
Kid Comics 2
I discovered this on TuxPaint over the weekend. Apparently Mimi (6) was making a children's story :)
Sunday, January 23, 2011
Kid Comics
Sunday, October 31, 2010
Free web hosting and "new" website
I had a small website up for a while, but Geocities and my ISP have both discontinued their web hosting services. As an experiment I was looking for a new host that was a completely free replacement. The best thing I found so far is:
http://www.awardspace.com
Here's a couple limitations I ran into and work-around's:
http://www.awardspace.com
The basic features in a nutshell are:
Total file space: 250 MBMaximum file size: 2 MBMonthly Bandwidth: 5 GBFTP/PHP/MySql includedNo Ads.
I had actually registered an account with them several years ago when it was all still in beta, and the test page I made was still working as I left it. So, I was pleasantly surprised to see they have their act together (so far) and have improved the service since I last saw it.
Here's a couple limitations I ran into and work-around's:
1. Some files types are restricted. Though I can see the point of restricting high bandwidth file types like .mov, as well as files with security issues like .exe. They don't want to become the next Napster and get shut down.
- mp3 file types are not allowed. I used the open source alternative "ogg." In Linux, I found a free program called "soundconverter" that made it easy to do a batch conversion from mp3 to ogg. (The program did pop up an error when first lauching, but worked perfectly otherwise).
- zip files are not allowed. I used the .bz2 compression format instead. Or you can drop the .zip extension from the file.
2. The marketing about domains is a bit misleading I think. It says it the free package has "1 domain" included and I initially thought "wow, they throw in a free domain name?!" The answer: no. You either have to pay for a domain name, or piggy back off a handful of generic domains like atwebpages.com.
3. If using FTP, probably using a FTP client like "filezilla" would probably work better. On a large batch of file transfers I hit a couple times where the FTP stream was cut off. This is not a big deal though if you have an FTP client that will automatically reconnect and retry the file transfers.
Still this host is a big improvement from what I had been using. On both my previous free hosts, I used to be bound by a 10 MB limit, which is hard to do much with. :)
My website is now at:
Friday, October 8, 2010
Growing Peppers, and a spicy treat
Well, I grew a few different kind of peppers this year, and will miss them during the winter. The plants are winding down now that fall is here.
The jalapeƱo is a great pepper. It's moderately spicy with a great flavor for pizzas, and mexican food. It's about 2,500 - 8,000 on the scoville heat scale.
The habanero, extremely spicy with a sweet "fruity" flavor. You don't want to eat these things straight, or you will be in pain. They are 100,000-350,000 on the scoville scale. But they are great mixed with other foods:
And the hottest chili in the world, the naga jolokia. I will probably dry these, and use crushed, since they are about 1,000,000 on the scoville scale. That's approaching pepper-spray strength.
I have found a great use for the habaneros. If you like Indian food or spicy food, you might like this recipe. It's a bit like a crunchy popcorn snack but would also be a great side dish.
Roasted Chick Peas
Drain 1 can of chick peas (garbonzo beans) and rinse in a large bowl. You can roll the beans against each other, and all the skins will come off. These float to the top and can be poured off through a strainer. You don't have to remove the skins, but I think they cook up a bit crunchier without them.
Put the chickpeas in a small dish. Mix with 1-2 tablespoons of olive oil, then sprinkle with:
Curry
Salt
Black Pepper
Cinnamon
1-2 chopped Habanero peppers
Cook at 450 F, for 25 minutes.
Sunday, September 19, 2010
Origami in 3D
I realized that if you start with a rigid piece of paper, and fold it back on itself, this can create a layered buffer of paper that can be tapped or stored. So, a rigid sheet can be converted into one of virtually limitless elasticity. That means any form that is possible within traditional sculpture (clay, metal, etc) can be built from a single sheet of uncut lamina.
I ran across work by origami artist Joel Cooper that demonstrates this potential on an amazing level.
From Joel Cooper:
http://joelcooper.wordpress.com/2008/08/19/faq/

From Joel Cooper: http://www.flickr.com/photos/origamijoel/sets/72157606262466165/
Sunday, September 5, 2010
Robert Lang explains origami
Robert Lang explains the principles behind origami, origami design software, along with practical applications in space, medicine, and auto industries (18 min).
One thing that is not covered, is that origami folding can construct the same point sets that can be constructed with a marked-ruler and compass. For example, how to trisect an angle:
Monday, August 16, 2010
Pythagorean Puzzle
I like wooden toys, puzzles, and mechanical devices. The other day, I was looking at a simple proof of the Pythagorean Theorem. The idea behind the proof was incredibly simple, but the simplicity was obscured with the mathematical notation and formalism. But I noticed it could be directly translated into a mechanical device. So, I thought I'd make a toy out of it. The idea is it might make the concepts a little more clear, without the clutter of notation.

Now, I can rearrange the rugs, in another pattern:

But either way, the same area of floor is uncovered, regardless of how I move the rugs. So, the black area a2 + b2 has the exact same area as black area c2. So,
Below are the steps I used in making the prototype:
First I started with a large sheet of 1/8" hardboard, and cut a 1" strip. Though, in hindsight, it would have been easier to just find a precut, plained 1" x 1/4" strip.

Now, there will be three basic layers: top middle and bottom.
The top layer can all be cut from the long 1" strip. I used 2"x1" triangles. So the inside of the frame will be 3" and the outside 5". The four small 1"x1" squares will be corner supports between the bottom and top layers. The three small 1/2" x 1" rectangles will be used for sliding tabs (handles).

Then, apply drips of glue to the corner supports, and adjust the frame so that both triangle positions are flush. Cut excess off when dry. I rounded the tabs off with a Dremel tool, and painted the white labels on the black background. These labels are obscured by the resting position of the triangles. A hole can be drilled in the back for hanging somewhere.
The general idea behind the proof is this:
Suppose I have a rug and place it flat on the floor of an empty room. If the rug is too small for my tastes, can I cover more of the floor by moving the rug around (on the floor)? Not really. Regardless of where I put the rug, the same total area of floor will be covered, the same total area will be uncovered.
So, imagine four rugs that are all the same size, and shaped like right triangles. The black space is the uncovered floor:
Suppose I have a rug and place it flat on the floor of an empty room. If the rug is too small for my tastes, can I cover more of the floor by moving the rug around (on the floor)? Not really. Regardless of where I put the rug, the same total area of floor will be covered, the same total area will be uncovered.
So, imagine four rugs that are all the same size, and shaped like right triangles. The black space is the uncovered floor:
Now, I can rearrange the rugs, in another pattern:
But either way, the same area of floor is uncovered, regardless of how I move the rugs. So, the black area a2 + b2 has the exact same area as black area c2. So,
a2 + b2 = c2
But also, the axa, bxb, cxc squares are formed directly with the sides of the triangles. In other words, a and b are the length of the triangle's legs, and c is the length of the hypotenuse.
So, this is a visual, mechanical demonstration of the Pythagorean Theorem, for an arbitrary right triangle. :)
Below are the steps I used in making the prototype:
First I started with a large sheet of 1/8" hardboard, and cut a 1" strip. Though, in hindsight, it would have been easier to just find a precut, plained 1" x 1/4" strip.
Now, there will be three basic layers: top middle and bottom.
The top layer can all be cut from the long 1" strip. I used 2"x1" triangles. So the inside of the frame will be 3" and the outside 5". The four small 1"x1" squares will be corner supports between the bottom and top layers. The three small 1/2" x 1" rectangles will be used for sliding tabs (handles).
The middle layer (left bottom) will need to be slightly thinner so that it can slide freely between the corner supports. I just took off a hair with a flat file. The bottom layer (right bottom) will need a slot cut that intersects points (0,0) and (2,1), if the origin is at the lower left. I just used a drill and coping saw. Any thickness for the bottom is fine.
The yellow triangle will slide along the slot in the bottom layer. The back tab will connect to the yellow triangle with screws (passing through the slot). These will need to be attached at the same angle as the triangles:

Glue the green and yellow triangles to their middle layer supports. Use two small screws to prevent rotation. It's probably best to drill pilot holes for these small pieces.:

Glue the green and yellow triangles to their middle layer supports. Use two small screws to prevent rotation. It's probably best to drill pilot holes for these small pieces.:
Also, I cut a thin strip of felt, and glued to the insides of the slot. This smooths the slide mechanism, and looks a little better. After dry, then cut flush with a razor blade.
The sliding yellow triangle can be attached first. This will determine the position of the frame and other pieces. (backside)

Then add corner supports (which will be cut to size at the end). The only thickness that really matters, is that the middle layer is slightly thinner than the corner supports.
Then add corner supports (which will be cut to size at the end). The only thickness that really matters, is that the middle layer is slightly thinner than the corner supports.
The side tabs and red blue triangles will sit on top of the middle layer, and allow the pieces to slide vertically and horizontally. Glue both tabs and triangles to the middle layers.
Personally, I like the natural wood toys better. But, since this is a wooden toy for kids, I picked bright simple colors. :)
For a children's toy, I think the squares should have been purple, and the frame should have been black. Since I think it's easier to focus on purple than black (a void), and is often a favorite color. But I didn't have any purple felt on hand. Though, black doubles as a chalk board.
(I actually painted everything at the first step, but had to touch up scratches afterwards.)
(I actually painted everything at the first step, but had to touch up scratches afterwards.)
After painting everything, use a flat bastard file so that edges are clean and sharp.
Then, apply drips of glue to the corner supports, and adjust the frame so that both triangle positions are flush. Cut excess off when dry. I rounded the tabs off with a Dremel tool, and painted the white labels on the black background. These labels are obscured by the resting position of the triangles. A hole can be drilled in the back for hanging somewhere.
And that's it. Now, even a five year old can demonstrate this fundamental theorem of mathematics. :)
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