Notice the difference? (if you did not get the system I used, count the blocks in each layer)
First of all, I don't have to use an odd number as my diameter length, but I can do so nevertheless. This may seem like a minor feature, until you realise that it doubles the amount of buildable circles.
And second, I feel that my circle looks rounder. Check it ingame (I can't post pictures because I'm at work).
The circles proposed in the link above look octagonal to me, not round.
The graphic is very misleading: although a very round impression is created when viewed from this perspective, the curves will look straight ingame.
Look at the 19-blocks-diameter circle from the graphic that way:
The red blocks are obsolete. They are what makes this design look round from this perspective and I doubt you will make a circle in minecraft that will be viewable from this view. Circles may be used as compendium for a round tower, or for the balloon of an airship and so on. In every case I can imagine, the circle is used to create a tube, or globe, or half-tube, so you will never view the circle from the same point of view that the graphic above uses to create the "round" impression.
As a last statement, look at the "bad" design without the red blocks.
To me, this looks definitively octagonal and not round. It gets better if you scale up to a diameter of 40 blocks or so, but I rarely build circles that big.
Please discuss.
Appendix:
Quote from neonjoe »
How would you make a 19m diameter circle?
Your question points out that I did not exactly explain anything. I hoped the Go-and-figure-it-out approach would work just fine.
But here goes:
Also, "layer" was not the best choice of words. My idea is to use "bars" to build a circle. As you noticed, in the first example, I reduce the bars by one block from the centerpiece until I reach a bar that is one block wide. But that's not the system, that's just how you build certain circles. You have to adapt the size of these bars to the diameter of the circle. The smaller the circle gets, the less it will look like an actual circle. This is inevitable. But it still looks nicer than an octagon, I think.
Why? Because Trolololololololo Is why.
Every time a Herobrine thread is made, Madonna adopts a child. Stop this cruelty.
"Damn!" The immortal words of Ron Simmons.
Thank you for your positive feedback. If you have any questions about my design, please ask, I would very much like to have discussion about "pixel circles".
Quote from shadowwalke »
EDIT: Sorry I accidentally double-posted. I meant to use edit ._.
Excellent! Been trying to find an easy way to make circles of any size without having to look up a chart. Not sure if I'm looking forward to using this more in Dwarf Fortress or Minecraft.
It seems like you are subtracting one from each 'layer'; you get a 22m diameter circle with four meters on the outsides, but if you start with three, you'll end up with a 13m diameter circle.
Also, "layer" was not the best choice of words. My idea is to use "bars" to build a circle. As you noticed, in the first example, I reduce the bars by one block from the centerpiece until I reach a bar that is one block wide. But that's not the system, that's just how you build certain circles. You have to adapt the size of these bars to the diameter of the circle. The smaller the circle gets, the less it will look like an actual circle. This is inevitable. But it still looks nicer than an octagon, I think.
Your question points out that I did not exactly explain anything. I hoped the Go-and-figure-it-out approach would work just fine.
Also, "layer" was not the best choice of words. My idea is to use "bars" to build a circle. As you noticed, in the first example, I reduce the bars by one block from the centerpiece until I reach a bar that is one block wide. But that's not the system, that's just how you build certain circles. You have to adapt the size of these bars to the diameter of the circle. The smaller the circle gets, the less it will look like an actual circle. This is inevitable. But it still looks nicer than an octagon, I think.
Hmmm... I still don't quite understand how you decide how long each bar is....
Also, circles (in Minecraft) should look like polygons.
I think about it this way; a circle is just a polygon with the shortest possible length for each side. A perfect circle is a polygon where the number of sides approaches infinity (or the side length approaches 0).
The trouble with Minecraft (and the real world) is that you can't have an infinite number of sides.
In minecraft, for example, a circle with a radius of 1 looks like this:
Yep, a square...
As you increase the radius, the number of sides increases, so some circles will actually be octagons.
If you feel inclined, take some screenshots of your circles next to the ones in those diagrams - I've been making domes lately, and if the method in the "spheres" thread can be improved upon, I'd like to know :smile.gif:
Granted, some of those circles in the link you provided do look more octagonal than circular... Especially the one with diameter 11... But that's going to happen when you're building them out of pixels. At some point your circle is going to break down into straight edges, no matter how you build it.
As far as the wasted blocks inside... Well, it depends on what I'm doing. If I'm building a tower or something like that, where I'm stacking circles to make a dome or a sphere or a cylinder, I'll leave out those extra blocks. I'm not so much worried about how it looks as a circle, so much as the finished object.
But, sometimes I will build a straight-up circle. Maybe put a round window in something... Or a circular bit of pavement, or something like that. And, in those cases, I will use those extra blocks to soften the appearance some.
You've given a couple nice examples of circles... But I don't really see much of a method. If I wanted to build a circle of some arbitrary size, I can consult that template or use some utility... But I can't really use your method, because I don't know what it is.
I am aware that, in Minecraft, you cannot create anything that is actually round. But I think I mentioned this already: It is all about creating the impression of a circular object.
@ephemeriis
I can't provide a template. My method is intuition. What I wanted to demonstrate was more that the other method sucks.
But use this as a guide: Use bars, and use many of them. If you use single blocks in a diagonal line to create a curve, you will create a diagonal line, not a curve. That's what bothered me most about the graphic I posted in the OP. Also, use your imagination to find the fitting length of the bars. then reduce them to a point where it seems mathematically appropriate to turn direction and let them expand again.
@Hadies243
The video shows exactly how I would never build a circle.
Why? Because Trolololololololo Is why.
Every time a Herobrine thread is made, Madonna adopts a child. Stop this cruelty.
"Damn!" The immortal words of Ron Simmons.
I am aware that, in Minecraft, you cannot create anything that is actually round. But I think I mentioned this already: It is all about creating the impression of a circular object.
@ephemeriis
I can't provide a template. My method is intuition. What I wanted to demonstrate was more that the other method sucks.
But use this as a guide: Use bars, and use many of them. If you use single blocks in a diagonal line to create a curve, you will create a diagonal line, not a curve. That's what bothered me most about the graphic I posted in the OP. Also, use your imagination to find the fitting length of the bars. then reduce them to a point where it seems mathematically appropriate to turn direction and let them expand again.
I'm still unsure whether this is an improvement. You're saying "use bars" - it seems like you're favoring blocks in line (north-south, east-west) over blocks on a diagonal. A perfect circle should have both.
I'd still be interested in seeing your method compared to the other one in Minecraft... it would be nice to see screenshots.
I'd still be interested in seeing your method compared to the other one in Minecraft... it would be nice to see screenshots.
I am highly unsure that I will be able to convince you of my method. My whole argument consists of: My circle looks better to me. But I will deliver screenshots when I visit the forum from home the next time.
EDIT: I will try to formulate my "method" so you can apply it more easily. A rule could be: "For a diameter below 10 blocks, start with a centerpiece / middle-bar of 2 blocks. For each 10 blocks more in diameter, use a centerpiece that is 1 block longer." . Although I have been using this method for all my life (I built things out of LEGO and other blocks long before MineCraft came up), I never tried to explain it to anyone.
http://i50.tinypic.com/2lj71c7.png
My approach is slightly different (22 blocks in diameter):
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Notice the difference? (if you did not get the system I used, count the blocks in each layer)
First of all, I don't have to use an odd number as my diameter length, but I can do so nevertheless. This may seem like a minor feature, until you realise that it doubles the amount of buildable circles.
And second, I feel that my circle looks rounder. Check it ingame (I can't post pictures because I'm at work).
The circles proposed in the link above look octagonal to me, not round.
The graphic is very misleading: although a very round impression is created when viewed from this perspective, the curves will look straight ingame.
Look at the 19-blocks-diameter circle from the graphic that way:
[] [] [] [] [] [] [] [] [] [] [] []
[] [] [] [] [] [] [] [] [] [] [] [] []
[] [] [] [] [] [] [] [] [] [] [] [] [] [] []
[] [] [] [] [] [] [] [] [] [] [] [] [] [] [] [] []
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The red blocks are obsolete. They are what makes this design look round from this perspective and I doubt you will make a circle in minecraft that will be viewable from this view. Circles may be used as compendium for a round tower, or for the balloon of an airship and so on. In every case I can imagine, the circle is used to create a tube, or globe, or half-tube, so you will never view the circle from the same point of view that the graphic above uses to create the "round" impression.
As a last statement, look at the "bad" design without the red blocks.
[] [] [] [] [] [] [] [] [] [] [] []
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[] [] [] [] [] [] [] [] [] [] [] [] [] [] [] [] []
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To me, this looks definitively octagonal and not round. It gets better if you scale up to a diameter of 40 blocks or so, but I rarely build circles that big.
Please discuss.
Appendix:
Thank you for this!
Every time a Herobrine thread is made, Madonna adopts a child. Stop this cruelty.
"Damn!" The immortal words of Ron Simmons.
sig'd
These are circles.
Pixel Circles.
Pixel Circles.
OT: I like your circle somehow. Might use it next time.
EDIT: Sorry I accidentally double-posted. I meant to use edit ._.
Thank you for bumping.
It seems like you are subtracting one from each 'layer'; you get a 22m diameter circle with four meters on the outsides, but if you start with three, you'll end up with a 13m diameter circle.
Your question points out that I did not exactly explain anything. I hoped the Go-and-figure-it-out approach would work just fine.
But here goes:
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Also, "layer" was not the best choice of words. My idea is to use "bars" to build a circle. As you noticed, in the first example, I reduce the bars by one block from the centerpiece until I reach a bar that is one block wide. But that's not the system, that's just how you build certain circles. You have to adapt the size of these bars to the diameter of the circle. The smaller the circle gets, the less it will look like an actual circle. This is inevitable. But it still looks nicer than an octagon, I think.
It's much simpler and looks more round than the way i build it.
Hmmm... I still don't quite understand how you decide how long each bar is....
Also, circles (in Minecraft) should look like polygons.
I think about it this way; a circle is just a polygon with the shortest possible length for each side. A perfect circle is a polygon where the number of sides approaches infinity (or the side length approaches 0).
The trouble with Minecraft (and the real world) is that you can't have an infinite number of sides.
In minecraft, for example, a circle with a radius of 1 looks like this:
Yep, a square...
As you increase the radius, the number of sides increases, so some circles will actually be octagons.
I've been referencing the diagrams from the Perfect Spheres thread for circles:http://www.minecraftforum.net/viewtopic.php?f=35&t=28896
If you feel inclined, take some screenshots of your circles next to the ones in those diagrams - I've been making domes lately, and if the method in the "spheres" thread can be improved upon, I'd like to know :smile.gif:
As far as the wasted blocks inside... Well, it depends on what I'm doing. If I'm building a tower or something like that, where I'm stacking circles to make a dome or a sphere or a cylinder, I'll leave out those extra blocks. I'm not so much worried about how it looks as a circle, so much as the finished object.
But, sometimes I will build a straight-up circle. Maybe put a round window in something... Or a circular bit of pavement, or something like that. And, in those cases, I will use those extra blocks to soften the appearance some.
You've given a couple nice examples of circles... But I don't really see much of a method. If I wanted to build a circle of some arbitrary size, I can consult that template or use some utility... But I can't really use your method, because I don't know what it is.
5 4 3 2 1 2 3 4 5 4 3 2 1 2 3 4 5 4 3 2 1 2 3 4 5... @-@
@ephemeriis
I can't provide a template. My method is intuition. What I wanted to demonstrate was more that the other method sucks.
But use this as a guide: Use bars, and use many of them. If you use single blocks in a diagonal line to create a curve, you will create a diagonal line, not a curve. That's what bothered me most about the graphic I posted in the OP. Also, use your imagination to find the fitting length of the bars. then reduce them to a point where it seems mathematically appropriate to turn direction and let them expand again.
@Hadies243
The video shows exactly how I would never build a circle.
sig'd
These are circles.
Sig'd
Every time a Herobrine thread is made, Madonna adopts a child. Stop this cruelty.
"Damn!" The immortal words of Ron Simmons.
sig'd
I'm still unsure whether this is an improvement. You're saying "use bars" - it seems like you're favoring blocks in line (north-south, east-west) over blocks on a diagonal. A perfect circle should have both.
I'd still be interested in seeing your method compared to the other one in Minecraft... it would be nice to see screenshots.
I am highly unsure that I will be able to convince you of my method. My whole argument consists of: My circle looks better to me. But I will deliver screenshots when I visit the forum from home the next time.
EDIT: I will try to formulate my "method" so you can apply it more easily. A rule could be: "For a diameter below 10 blocks, start with a centerpiece / middle-bar of 2 blocks. For each 10 blocks more in diameter, use a centerpiece that is 1 block longer." . Although I have been using this method for all my life (I built things out of LEGO and other blocks long before MineCraft came up), I never tried to explain it to anyone.