mostly art and music
Is there a shape (solid) which can be repeated 6 times and interlocks to form a hexahedron? I’m still not entirely sure. This may even have search results, but I never looked it up. I wanted to figure it out for myself.
I mean, I still haven’t figured it out, but I got kind of close.
Continue reading “interlocking panel box”
I made a 3d bitmap word for my dad for his birthday. This will show you how to make your own. The process isn’t difficult but there are a few things you can do to make it easier.
First, choose a word you want to make a 3d bitmap version of. Write it out the way you would like it to appear, using a big fat marker (of a color you can easily see through) on graph paper. Use a pencil to fill in the squares which will actually become the boxes. Count the squares; this is how many cubes you will need to create. Add squares here and there if you think there might be areas which will end up being not that sturdy.
This is all quicker than using a graphic program to make a bitmapped word.
Now that you know how many cubes to cut out, decide how big you want the finished product to be. Here is a cube template you should easily be able to resize to whatever you want. Keep in mind that only using 3 letters and a 1 inch cube my finished product was 34 inches wide.
I found it easiest to glue up columns first, then glue the columns together.
Gluing the columns together first allows a little dry time which makes the columns a little more sturdy when pressing into the rest of the sculpture.
You may want to glue the finished product to a board. When I presented mine, I snuck it into my parents’ house and put this on the dining room table for extra wow effect.
If you’re not familiar with what makes a pattern tessellate as opposed to repeat, think in terms of Pac-Man; when you go far enough to the right side, you come out the left side.
Start out with a new document. Any dimensions will work. For this example I created a ⅛″ grid on a 2″ square document.
Draw some objects. The more they break the boundaries of the canvas the better.
Draw a rectangle the same size as you canvas. You might want to make it a different color if your design is complex.
You should now have 9 copies of your original drawing in a 3 × 3 grid. If your drawing is opaque, some of the repetition will be obscured. Reduce the opacity of your original drawing to, say, 50% and start over.
Now your tessellation is ready to be repeated.
Note: If your original drawing is more than 2× the width and / or height of your canvas, you will need to paste your drawing additional times in step 4. I think these are the interesting tessellations because you have to see the pattern repeated many times in order to see the original design.
My interest in time-based color values came from reading about the concept of chromo°. Picking a point from the HSB color model proved more complicated than I originally thought. Ben Bryant helped me do the hard math parts to figure this one out, so special thanks to him.
Above is a working JavaScript sample of an equation to obtain color values from the HSB color model based on time units.
Below is the equation in general terms. View this page’s source for the exact code, which also converts the colors to hexadecimal values.
(round(max(min(abs(767*((($degree+0) % 360)-180)/180)-256,255),0),0))*256*256+ (round(max(min(abs(767*((($degree+120) % 360)-180)/180)-256,255),0),0))*256+ round(max(min(abs(767*((($degree+240) % 360)-180)/180)-256,255),0),0),6)
$degree is the percentage of time unit (divided by half of the total units to offset the difference [by 180°] between chromo° angles and HSB values).