Shifted to a new room in the hostel for the new academic year and still something was missing. A penstand on my desk!! Why go shop when you can create one yourself...??
Diagrams and CP coming soon. Keep checking...
Thursday, July 23, 2009
Book Mark - A better photo.
This is by far one of the best models I've made. I'm nearly obsessed with it.... I call it kirigamic representation of an origami tessellation.
It's a new beginning....I'm soon gonna try it out with other tessellations too... :D
It's a new beginning....I'm soon gonna try it out with other tessellations too... :D
Sunken Sonobe
Thanks to Kalami for the diagrams here.
This is very similar to this model. In fact, the geometry is exactly the same, but the vertices are turned half way down...
This is very similar to this model. In fact, the geometry is exactly the same, but the vertices are turned half way down...
Hexgrids-Printed!!
The most tiring job in origami is probably the pre-creasing, especially the hex grid. I've tried to get the hex grid the "conventional way" i.e. using geometry etc..... but the lines became curves and there are hardly any triangles. So I had to get these printed to have more fun...
Sonobe Polyhedron
It's a cute little ball like polyhedron play with. It's even sturdy enough to play catch for quite some time.
Now getting to the geeky stuff about it: It's a 30 piece modular. The skeleton of the structure is a dodecahedron. Each pentagonal face supports a pyramid and hence the puffy shape.
Now getting to the geeky stuff about it: It's a 30 piece modular. The skeleton of the structure is a dodecahedron. Each pentagonal face supports a pyramid and hence the puffy shape.
Thursday, April 23, 2009
Computer and Origami!!
The CP for my radial corrugation.
This has been rendered using the open source "Processing". I came across it just last night and found it really helpful.
This below is the source code for it:
float r,x1,x2,y1,y2,x3,y3,a=0.55,b=0.65;
int i;
float theta,theta1;
void setup(){
size(350,350);
smooth();
r=340.0f;
}
void draw() {
background(255);
translate(width,height);
for(i=0;i<72;i++) {
theta=i*2*3.14/72;
theta1=(i+1)*6.28/72;
x2=r*sin(theta);
y2=r*cos(theta);
x3=r*sin(theta1);
y3=r*cos(theta1);
x1=x2*0.2;
y1=y2*0.2;
stroke(#ffff00);
line(x1,y1,x2,y2);
stroke(0);
line(x1,y1,0.2*x3,0.2*y3);
line(x2,y2,x3,y3);
if(i%4==1) {
stroke(#00ff00);
line(a*x2,a*y2,b*x3,b*y3);
line(x1,y1,a*x2,a*y2);
}
if(i%4==2) {
stroke(#00ff00);
line(b*x2,b*y2,b*x3,b*y3);
line(b*x2,b*y2,x2,y2);
}
if(i%4==3) {
stroke(#00ff00);
line(b*x2,b*y2,a*x3,a*y3);
line(b*x2,b*y2,x2,y2);
}
if(i%4==0) {
stroke(#00ff00);
line(a*x2,a*y2,a*x3,a*y3);
line(x1,y1,a*x2,a*y2);
}
}
}
This has been rendered using the open source "Processing". I came across it just last night and found it really helpful.
This below is the source code for it:
float r,x1,x2,y1,y2,x3,y3,a=0.55,b=0.65;
int i;
float theta,theta1;
void setup(){
size(350,350);
smooth();
r=340.0f;
}
void draw() {
background(255);
translate(width,height);
for(i=0;i<72;i++) {
theta=i*2*3.14/72;
theta1=(i+1)*6.28/72;
x2=r*sin(theta);
y2=r*cos(theta);
x3=r*sin(theta1);
y3=r*cos(theta1);
x1=x2*0.2;
y1=y2*0.2;
stroke(#ffff00);
line(x1,y1,x2,y2);
stroke(0);
line(x1,y1,0.2*x3,0.2*y3);
line(x2,y2,x3,y3);
if(i%4==1) {
stroke(#00ff00);
line(a*x2,a*y2,b*x3,b*y3);
line(x1,y1,a*x2,a*y2);
}
if(i%4==2) {
stroke(#00ff00);
line(b*x2,b*y2,b*x3,b*y3);
line(b*x2,b*y2,x2,y2);
}
if(i%4==3) {
stroke(#00ff00);
line(b*x2,b*y2,a*x3,a*y3);
line(b*x2,b*y2,x2,y2);
}
if(i%4==0) {
stroke(#00ff00);
line(a*x2,a*y2,a*x3,a*y3);
line(x1,y1,a*x2,a*y2);
}
}
}
Tuesday, April 14, 2009
Hybrid
This is a hybrid of The spring and the corrugation I made recently. I'm not satisfied with the finish though. I'll have to work out a better one again sometime.
Precrease
I don't remember what I've done with this pre-crease, jus found this pic in my comp. This one of the most accurate pre-creasing I've ever done.
Circus Tent
One more experiment with the corrugation. Except that this time the creases actually reached the center (which tore the paper apart). I might wanna try it again with a better paper.
Sunday, April 12, 2009
Ash Tray
A modified form of the Sequel to the Radial Corrugation.
Now it's an Ash tray.
This is kinda satisfying after what happened previously.
Now it's an Ash tray.
This is kinda satisfying after what happened previously.
The Sequel to the radial corrugation
This was a very disappointing outcome. I've thought it'd be more dramatic than the previous one. However, this can be considered an improvement in the sense that the central part needn't be cut as in the earlier one.
This had been a real painful experience. It was a 36 sided regular polygon in the inside and 72 sided one on the outside(same as the previous one). I had to redraw the entire crease pattern on the paper due to a "little" calculation mistake and I was on the verge of giving up. It was Then I took time to let off the steam and redid the CP again. Now I got it right.
This had been a real painful experience. It was a 36 sided regular polygon in the inside and 72 sided one on the outside(same as the previous one). I had to redraw the entire crease pattern on the paper due to a "little" calculation mistake and I was on the verge of giving up. It was Then I took time to let off the steam and redid the CP again. Now I got it right.
The Sequel to the radial corrugation
This was a very disappointing outcome. I've thought it'd be more dramatic than the previous one. However, this can be considered an improvement in the sense that the central part needn't be cut as in the earlier one.
This had been a real painful experience. It was a 36 sided regular polygon in the inside and 72 sided one on the outside(same as the previous one). I had to redraw the entire crease pattern on the paper due to a "little" calculation mistake and I was on the verge of giving up. It was Then I took time to let off the steam and redid the CP again. Now I got it right.
This had been a real painful experience. It was a 36 sided regular polygon in the inside and 72 sided one on the outside(same as the previous one). I had to redraw the entire crease pattern on the paper due to a "little" calculation mistake and I was on the verge of giving up. It was Then I took time to let off the steam and redid the CP again. Now I got it right.
Saturday, April 11, 2009
Experiment with the Corrugation
Yesterday, I was playing around with the Corrugation and tested its freedom to bend and curve. It was then it struck me to apply the same pleating method radially. Applied it and here's the result :D Also, it can collapse till the central hole vanishes completely. But the paper was so hard(220GSM) that it wouldn't stay closed by itself. Started from a circle 30cm in dia and had a circle of 10cm dia cut out.
This is my first experiment with the "Corrugation" and had to cut the central part out to make it work. However, I've figured a way around it.
Watch the video of it in action here: http://www.youtube.com/watch?v=4LFRu_E6Llo
There's more of it coming though...
This is my first experiment with the "Corrugation" and had to cut the central part out to make it work. However, I've figured a way around it.
Watch the video of it in action here: http://www.youtube.com/watch?v=4LFRu_E6Llo
There's more of it coming though...
Tuesday, April 7, 2009
Corrugation
I don't know what to call it. Simple corrugation. I know I've seen someone else do a similar thing but am unable remember where...
Framed.
These are the my first tessellations that happened to get into the frames- Thanks to Endre Somos who provided me with the frames...
Instructions for flower tower
To view the image annotated with important points and markers, go to the photo page by clicking on the image.(Or here's the link
Instructions for folding the flower tower
>Start by floding the paper into 16ths, radially.
>Fix the size of the smallest polygon.
>Then fix the length of the RED line as in the pic.(It is arbitrary.) The length is measured along the radius.
>Now construct the parallelograms i.e the blue regions in the figure.
>Note that angle A and Angle B are congruent.(see notes)
>Now repeat the process over the entire polygon to construct the first iteration of the CP.
>Now fold the first iteration.Mountain and Valley folds are marked with M and V respectively.
>Note that the secondary radial lines tend to get away from their corresponding radii as the iterations progress.
>Similarly, for the second Iteration, start with a comfortable distance from the center.
>Construct the parallelograms as shown-Their reference lines can be obtained the line from the "vertex" (note). The side of the parallelogram that lies on the radius can be of arbitrary length.
>The inner most polygon doesn't have any folds and stays flat after the model is complete.
>Repeat the iterations till either your patience or the paper runs out.
The same procedure can be applied to polygons with any number of sides. All the above math is still applicable i.e the lines being parallel and the angles equal.
Instructions for folding the flower tower
>Start by floding the paper into 16ths, radially.
>Fix the size of the smallest polygon.
>Then fix the length of the RED line as in the pic.(It is arbitrary.) The length is measured along the radius.
>Now construct the parallelograms i.e the blue regions in the figure.
>Note that angle A and Angle B are congruent.(see notes)
>Now repeat the process over the entire polygon to construct the first iteration of the CP.
>Now fold the first iteration.Mountain and Valley folds are marked with M and V respectively.
>Note that the secondary radial lines tend to get away from their corresponding radii as the iterations progress.
>Similarly, for the second Iteration, start with a comfortable distance from the center.
>Construct the parallelograms as shown-Their reference lines can be obtained the line from the "vertex" (note). The side of the parallelogram that lies on the radius can be of arbitrary length.
>The inner most polygon doesn't have any folds and stays flat after the model is complete.
>Repeat the iterations till either your patience or the paper runs out.
The same procedure can be applied to polygons with any number of sides. All the above math is still applicable i.e the lines being parallel and the angles equal.
Spring
For the first time I've made some progress in making this kind of spring. My pre-creasing was bad and this doesn't collapse at all. So I'm gonna have to try this again I suppose.
Variant 1 of the modular tessellation!
This is the first variant of the Modular tessellation I made earlier. I've used a set of black squares too this time so it adds a pleasing effect to the tess. This is what I call the Front side of the tess.
Here's the link to the other side.
Here's the link to the other side.
Side 1 of The Palindromic Tess!!
Since I've started playing with the Hex grid recently, I thought of applying to hex grid, what I did to the square grid.
This is what I've been trying to do and just got stuck here. I'm here lost and confused.
I have no Idea how to proceed coz everywhere I start a new triangle, I either end up in the wrong place or removing other correct triangle. I know I can continue this further but I utterly bewildered now.
This is what I've been trying to do and just got stuck here. I'm here lost and confused.
I have no Idea how to proceed coz everywhere I start a new triangle, I either end up in the wrong place or removing other correct triangle. I know I can continue this further but I utterly bewildered now.
Modular Tessellation
I was wondering if I could make any plane modulars, to cover my laptop's keyboard when idle and also good enough to show off my skills in folding. Now I've got a lot more than I expected. It is too good to just be used as a cover. Diagrams and some modifications coming soon...
Spoiler warning:
For those who can't wait, this is the piece I've used as a module. It should be easy to figure out now.
Spoiler warning:
For those who can't wait, this is the piece I've used as a module. It should be easy to figure out now.
A tee for Origami Wizards!!
A tee I bought for my last B'day!!
Somehow I missed uploading it that time. And trust me, it's NOT a custom made order or something. I just happened to find it in a store.
This is the front of it and back is plain.
The illustration is a diagram for making what I think, is a Seagull. Not sure though.
Somehow I missed uploading it that time. And trust me, it's NOT a custom made order or something. I just happened to find it in a store.
This is the front of it and back is plain.
The illustration is a diagram for making what I think, is a Seagull. Not sure though.
Hexagonal Spread Tess
My recent attempts with the hexagonal grids led me here. I sure had fun playing in a new field, i.e. the Hex grid, which I rarely set my fingers upon.
I've been unable to stop grinning since I completed the first iteration and after it was complete, I was totally excited to do more!!
I've been unable to stop grinning since I completed the first iteration and after it was complete, I was totally excited to do more!!
The Bowl...
This is the bowl I used for washing brushes while I was painting. I didn't find any suitable containers all of a sudden (it was 1am when I started painting) and the plastic sheet caught my eye. Couldn't help but fold!! As someone else said before,"If you can't find something, then make it yourself."
My experiment with Hex grid
Long ago, I tried Hex grids and found out that it needs a lot more patience and time to work on a hex grid. So I kept myself to the square grid. For a change, I tried Hex grid recently and this is what it turned out to be. Just a hex twist, with a bulge.
Started from a 10cm square paper.
Started from a 10cm square paper.
Embossed heart
This too was made for the valentine's day. Could make it with a better proportions but was in a hurry. Anyway, I'm gonna have a second go at it later...
Flower Tower
This is my first try with this. It's not as neat as it looks here. I was inspired by this from Jeff Rutzky.
Started from a square 40com across, printer paper.
Correct me if I'm wrong:I've figured that the above pattern is also a corrugation only after I folded this. Second degree radial corrugation if you may call it.
Started from a square 40com across, printer paper.
Correct me if I'm wrong:I've figured that the above pattern is also a corrugation only after I folded this. Second degree radial corrugation if you may call it.
Interlocked cubes!!
One of my old models, now interlocked. This is the most closely packed form of this cube and no more cubes can be added. I wished I could make a sturdy long structure.
Tessellated Hearts!!
Love for tessellations or Tessellations for love or simply put, a mixture of
craziness and boredom.
I wanted this to be a Valentine's day special. However, I felt so bored
that I couldn't help but folding it.
This is a very densely packed model. Started with 30cm square and ended with
12cm tessellation.
craziness and boredom.
I wanted this to be a Valentine's day special. However, I felt so bored
that I couldn't help but folding it.
This is a very densely packed model. Started with 30cm square and ended with
12cm tessellation.
Allinone
Here's how to make a Fish scale tess.
Step 1:
Start with an 8x8 grid(or higher if you have enough patience.
Step 2,Step 3:
Fold as the figure illsutrates.
Step 4:
This is a bit difficult compared to others.
Open up every thing and let the point A meet the point B.
Step 5:
Collapse it and let it lay flat. This is how your paper should look like now.
Fold the top flap along the valley line indicated.
Step 6:
There! You've completed one scale!
Now repeat the process on the rest of the paper.
(Notice the similarity of the circled portions in Step 2 and Step 6.)
Red for valley fold and
green for mountain folds.
Solitary world!!
A modular icosahedron I think- I'm not so familiar with the names...
The polyhedron, by itself didn't seem complete to me. Just thought it needed some life and there it is, a little crane fishing alone on planet origami...!!
The polyhedron: Designed by Wilson Chan and folded by me
The polyhedron, by itself didn't seem complete to me. Just thought it needed some life and there it is, a little crane fishing alone on planet origami...!!
The polyhedron: Designed by Wilson Chan and folded by me
Merry X'mas!!
Say merry X'mas, the Origami way!!
A corrugated Christmas tree, propped on a card.
I should've done it with a dark green paper instead, but didn't find one handy all of a sudden...
A corrugated Christmas tree, propped on a card.
I should've done it with a dark green paper instead, but didn't find one handy all of a sudden...
Cigarette Pack!!
It's been a long time I made this one. Somehow missed to upload it.
I made it to hold a deck of cards rather than cigarettes. But now it looks more like a cigarette pack than that of cards. I did consume a hell lot of paper resulting in a very sturdy frame. I took me an hour to design and fold it.
I made it to hold a deck of cards rather than cigarettes. But now it looks more like a cigarette pack than that of cards. I did consume a hell lot of paper resulting in a very sturdy frame. I took me an hour to design and fold it.
Roll of water bombs....
When I made the catenated waterbombs, I wanted to make longer chain of water bombs to play with. So got a roll of paper right then and started 'weaving' it...
Thursday, April 2, 2009
Front and Back.
I'd like to ask you a question. How do you define the front and back of a tessellation??? Or in particular, in this picture?? It shows the two sides of a pattern I made recently. Try figuring out what is front and what is the back for it.(click on the pic to see it enlarged)
Never did I think I'd come across something "I" made and be unable to decide what is front and what is the back.
I leave it to you to figure it out guys...
Never did I think I'd come across something "I" made and be unable to decide what is front and what is the back.
I leave it to you to figure it out guys...
Tuesday, March 31, 2009
Tessellated waterbombs!!
Ha! There goes my triumph of victory. As I told you earlier, this is the waterbomb tessellation I was talking about.
As you see, this is the continuation of my previous post.(That's why the pics are numbered 4,5 and not 1,2).
As you see, this is the continuation of my previous post.(That's why the pics are numbered 4,5 and not 1,2).
Sunday, March 29, 2009
Square tess
This is my first attempt at tessellating the waterbombs as referred in my earlier post. I've reached till the base of water bomb though. The paper refused to be folded any more. So I had to quit it here and was forced to make a larger model instead. More of it coming soon.
Water bomb Molecule..!!!
As I've done the catenation of the water bomb earlier(refer earlier posts),
I wanted to give it another dimension and make it a tessellation. So one afternoon, I've had fierce battle with a square of paper and after about 3hrs, I won!! I finally made the unit for the water bomb tessellation as you see here. I'll be soon tessellating it... So wait for it guys!!
I wanted to give it another dimension and make it a tessellation. So one afternoon, I've had fierce battle with a square of paper and after about 3hrs, I won!! I finally made the unit for the water bomb tessellation as you see here. I'll be soon tessellating it... So wait for it guys!!
Spring-diagram
I've started Diagramming for some of the Items I've made and here's number one for you. To make the Spring as in the figure:
Step1:
First take the print out of the Crease pattern given there and fold along all the lines. Black for valley folds and blue for the mountain folds.
Step2:
Roll it up as shown so as to form a cylinder like structure, and over lap one of the edges there.
Step3:
If you've done the creases right, this step will be not-so-difficult. If you have any doubt about your creases, I strongly suggest you redo your creases.
Once you've done your creases, and hold it up as in step 2, you should see that the top tends to twist in clockwise(it's not wrong if yours is anti-clock though). So twist it while flattening it gradually. Now you have something similar to the figure in step 3.
Step4:
Now all you've got to do is repeat the step3 along the length of the cylinder and have the spring shaped up in your hands.
Good luck!!
Step1:
First take the print out of the Crease pattern given there and fold along all the lines. Black for valley folds and blue for the mountain folds.
Step2:
Roll it up as shown so as to form a cylinder like structure, and over lap one of the edges there.
Step3:
If you've done the creases right, this step will be not-so-difficult. If you have any doubt about your creases, I strongly suggest you redo your creases.
Once you've done your creases, and hold it up as in step 2, you should see that the top tends to twist in clockwise(it's not wrong if yours is anti-clock though). So twist it while flattening it gradually. Now you have something similar to the figure in step 3.
Step4:
Now all you've got to do is repeat the step3 along the length of the cylinder and have the spring shaped up in your hands.
Good luck!!
Catenated waterbombs...
Hello folks!!
The one here, that's looks kinda like a bangle or a necklace or watever is a chain of water bombs... It's an entry I made for an online origami contest titled "Octagons for October." That's why there are 8 bombs there. Since it can be extended only in one direction, I call it a catenation rather than a tessellation.
The one here, that's looks kinda like a bangle or a necklace or watever is a chain of water bombs... It's an entry I made for an online origami contest titled "Octagons for October." That's why there are 8 bombs there. Since it can be extended only in one direction, I call it a catenation rather than a tessellation.
Saturday, March 28, 2009
2 Cube...
This too has been made from the same module I used for the earlier Truncated cube( in my earlier post)
It took 48 modules and about 2 hours of non-stop-fun to make this. This was relatively easier than the truncated cube as the joints are a bit stronger and hold easily.
The same idea can be extended to make even larger cubes too(if you find a paper strong enough ;)... and adding bit of math the number of modules is given by the formula
n=24+12*(s-2)+12*s*(s-1).
which gives 12,for cube with one side and 48 for side of 2 modules.
It took 48 modules and about 2 hours of non-stop-fun to make this. This was relatively easier than the truncated cube as the joints are a bit stronger and hold easily.
The same idea can be extended to make even larger cubes too(if you find a paper strong enough ;)... and adding bit of math the number of modules is given by the formula
n=24+12*(s-2)+12*s*(s-1).
which gives 12,for cube with one side and 48 for side of 2 modules.
Truncated cube!!!
This figure takes the form of a cube with its vertices cut-off, so that the face after cutting forms an equilateral triangle.
What's more..?? This has been made from same module as I made the modular cube.
A cube and a truncated cube from the same module make feel excited about what more interesting figures I can make out of the module. I'll soon upload a colored version of it and the diagram to make the module for enthusiasts.
Made from print paper, 24 modules. It's been really a pain to put the pieces together as they tend to curve in oppsite directions *and* the bonds are not as strong as they were in the cube.
It is now resting on one of its triangular faces.
What's more..?? This has been made from same module as I made the modular cube.
A cube and a truncated cube from the same module make feel excited about what more interesting figures I can make out of the module. I'll soon upload a colored version of it and the diagram to make the module for enthusiasts.
Made from print paper, 24 modules. It's been really a pain to put the pieces together as they tend to curve in oppsite directions *and* the bonds are not as strong as they were in the cube.
It is now resting on one of its triangular faces.
Getting bored in a movie theatre!!
Have you ever got bored in a cinema?? Well, I was once and didn't know what to do. I heard from someone that answer to all your questions are always in your hand and guess what? I'm holding an empty Pop corn container there and tried to do something in the darkness. It's not until I came out of the hall that I found out what I had done.
The way the folding ended at the trash icon; a strange coincidence that is...
The way the folding ended at the trash icon; a strange coincidence that is...
Friday, March 27, 2009
Logarithmic Triangles - Reverse.
I was actually trying to make a series of triangles with a twist so they look like they're spiraling from the center. However, the due to some numerical confusion, the angle of the spiral came out to be 60 degrees and now it looks like equilateral triangles one inside another. Either way, it's good enough for me ;)
The CollapTable...
Wanna have a writing desk that goes under your bed when you're not using it?
How about a coffee table that you can fold away?
Then meet The CollapTable. Inspired by the geometric exploration in origami, It's your solution for style, space and comfort. It can be collapsed into just a plane sheet of wood that can fit in small spaces like that under a bed.
How about a coffee table that you can fold away?
Then meet The CollapTable. Inspired by the geometric exploration in origami, It's your solution for style, space and comfort. It can be collapsed into just a plane sheet of wood that can fit in small spaces like that under a bed.
Playing with Corrugations!!
What do you think of infinity?
You might ask how is that related to this blog??
OK, I'll answer it. Look at the pic closely- Get it?? That's right. This is a picture of a picture of a picture of .... to infinity.
So now coming to the origami part of the pic, this is called a corrugation-A series of alternate folds. I didn't have anything in my mind to make and let my fingers wander and trample the paper until I ran into this.
You might ask how is that related to this blog??
OK, I'll answer it. Look at the pic closely- Get it?? That's right. This is a picture of a picture of a picture of .... to infinity.
So now coming to the origami part of the pic, this is called a corrugation-A series of alternate folds. I didn't have anything in my mind to make and let my fingers wander and trample the paper until I ran into this.
Subscribe to:
Posts (Atom)
