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Subject: 4 sided dice Challenge


Cybermonk ( ) posted Thu, 24 July 2014 at 3:22 AM · edited Mon, 25 November 2024 at 1:28 PM

All right modeling gurus. Model a 4 sided dice. Making the four side pyramid shape is easy. Just collapes an edge of a square and then extrude up and then collapse to a point. Getting the numbers on the face is the real trick and no textures and bump maps.... thats to easy lol This is really driving me nuts. I'll probly post this over at Blender Artist just to see what the wizards over there say.

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airflamesred ( ) posted Thu, 24 July 2014 at 6:30 AM

So the dents are modeled on each face?


Cybermonk ( ) posted Thu, 24 July 2014 at 6:54 AM

file_505944.jpg

The four side dice don't usually have the dimple like six side dice. They usually have actual numbers on them. I got something to work using the align snap function and then a boolean. It's not all quads... not exactally a clean looking mesh. Not sure how to do it better.

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"The true sign of intelligence is not knowledge but imagination".

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airflamesred ( ) posted Thu, 24 July 2014 at 7:13 AM

Equilateral tri as the base.

Extrude 1 edge and average weld

boolean and clean up

spin object 120deg and extrude as above

Would an FFD work?


Cybermonk ( ) posted Thu, 24 July 2014 at 7:25 AM

Whats an FFD?

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"The true sign of intelligence is not knowledge but imagination".

Albert Einstein


airflamesred ( ) posted Thu, 24 July 2014 at 7:46 AM

file_505945.jpg

Lattice maybe?


Cybermonk ( ) posted Thu, 24 July 2014 at 9:09 AM

Yeah I think boolean is the way to go. I'll try the lattice or mesh deform maybe. I like the mesh deform better because you can set the deformer up anyshape you want and the lattice is only square. Thanks for the sugestions.

____________________________________________________

"The true sign of intelligence is not knowledge but imagination".

Albert Einstein


LuxXeon ( ) posted Thu, 24 July 2014 at 10:46 AM · edited Thu, 24 July 2014 at 10:47 AM

file_505950.jpg

Depending on the application, the pyramid isn't really much of a challenge.  The package I model with, for example, has a pyramid primitive object, which has many options for creating various pyramid shapes instantly.  This one is just a simple 4 sided pyramid, with quad chamfered edges.  I could easily quad the centroid triangles if necessary (subdivision), but I don't see a reason to.

The text (for time sake, I just re-used some numbers I already made in one of my other freebies, I simply use spline text (any font I wish), then extrude the spline into polygons, and connect edges to quad it up.  This could become time consuming, but not difficult to achieve.  Again, it depends on what your modeler is capable of doing.  Some packages without the option to use Text as splines might have a more difficult time.

BTW, all quads, except for the triangle faces, but I could quad those up if necessary.

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LuxXeon ( ) posted Thu, 24 July 2014 at 10:50 AM · edited Thu, 24 July 2014 at 10:50 AM

Edit:  If you want the numbers inset, instead of looking extruded, then you can just connect them to the triangle sides with a cut tool, using the extruded numbers as your template for cutting the edges.  Yes, this would be time consuming, but not impossible.  I guess if you needed this quick, then you could simply boolean the numbers.  I just think the results would be very poor topologically.

Depends on your needs really.  If I have time later, I'll do an inset version for you, with the sides all connected to the numbers, but I just don't have time right now.

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Cybermonk ( ) posted Thu, 24 July 2014 at 12:13 PM

Thanks LuxXeon for the reply. The cut tool maybe the cleanest way to do this. No need to make anything. I was just doing this as an exercise to improve my modeling.

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"The true sign of intelligence is not knowledge but imagination".

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maxxxmodelz ( ) posted Thu, 24 July 2014 at 12:25 PM

file_505954.jpg

Hello,. guys.  I'm not as expertise as many of you with modelling things, but I thought just use a box with a couple segments, and then use a taper modifier or deformer.  See my attachment, if it actually worked.

This way, you can get pyramid shape, but keep all quads if you really want them, or you can weld the points at the top for sharper point, and work with a few triangles.  I think Blender has a taper modifier too.


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maxxxmodelz ( ) posted Thu, 24 July 2014 at 12:29 PM

It just occured to me, you wouldn't need any segments for taper to work on the box.  FFD also works like this.  Might be the fastest way, for people who don't have a pyramid primitive object to work with.


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Cybermonk ( ) posted Thu, 24 July 2014 at 1:13 PM

Actually the 4 sided dice has 3 sides and a base. I believe it's called a tetrahedron. The trick I was going for here is to cut the numbers into the faces in  as clean a way as possible. I think LuxXeon was right the knife tool may be the best bet here.

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"The true sign of intelligence is not knowledge but imagination".

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Cybermonk ( ) posted Thu, 24 July 2014 at 1:50 PM

file_505967.jpg

Well I tried the knife project and that was a lot cleaner than the booleans but it still wont subdivide smoothly. Looks alright though with a little bevel.

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"The true sign of intelligence is not knowledge but imagination".

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LuxXeon ( ) posted Thu, 24 July 2014 at 5:00 PM

file_505975.jpg

That's not bad, Cybermonk.  I like what you did with the text there.  However, you might not need to subdivide at all after cutting in the text, if you can chamfer or bevel the edges with enough segments, and maintain a rounded curvature.  In this example, I've quad-chamfered the tetrahedron with 4 rounded segments, and it renders perfectly smooth without subdivision.  Obviously, I don't have the text cut in here, but the same principal to smoothing edges should apply.  Also, check to see if your package supports edge-smoothing shader effects, which could be used to help fillet the edges at render time, and save some unnecessary geometry.

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LuxXeon ( ) posted Thu, 24 July 2014 at 7:21 PM

file_505982.jpg

Maxxx, as Cybermonk has pointed out, the object in question is actually only 3 sides and a bottom.  Using a box with taper alone won't be sufficient to create it. Of course you can edit the box to get the shape, but in 3dsmax, you can use the Gengon primitive (located under "Extended Primitives"), and change the number of sides to 3.  Then, you can apply a taper modifier to get the shape.  In the attached image, the gengon primitive is on the left, and the result of the taper modifier on the right.  In fact, that's what I used to get my initial result, except that I also just welded the top point verts together to create the point.

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LuxXeon ( ) posted Thu, 24 July 2014 at 9:24 PM · edited Thu, 24 July 2014 at 9:26 PM

file_505983.jpg

I started playing around with this when I got home, and I have to say it's an interesting challenge, once you begin to cut out the text.  Maintaining a low number of segments is also proving difficult, once you start connecting the curvature of the numbers with the tetrahedra sides.  I really wish I had more time to work on this, because it's a great topology exercise.  Surprisingly, I was able to maintain all quads on the first side, but judging from the second, that probably won't be the case.

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Cybermonk ( ) posted Thu, 24 July 2014 at 10:32 PM

file_505992.png

Yeah that looks pretty good LuxXeon.  I just figured you guys mite like to have a go at it. Did the die in this picture really quickly by painting it on. Obviously texture and bump/dislpacemet maps are the easiest way to do this. I did a six sided dice before I tried this one and it was easy to do with geometry.

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LuxXeon ( ) posted Thu, 24 July 2014 at 10:49 PM

file_505993.jpg

Yeah, I subdivided mine after some further edge editing, and found there were some artifacts showing up, mostly from spiders, which I didn't see a way to avoid, unless I spent a great deal of time relocating edge loops, and doing more cutting.

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maxxxmodelz ( ) posted Fri, 25 July 2014 at 11:08 AM

Ok, I didn't get it at first.  I thought it was just a pyramid with 4 sides, but I see what it is now, and understand why this was challenging.  I would have just used a feature called shape merge to create this.  It's a boolean operation that works using splines as the cutter.  My topology would be screwed up, but it would at least render ok.  I wouldn't try to unwrap it though.

Lux, I'm squinting to see the "artifacts" you speak of in your subdivided object, but can hardly notice them!  I'd consider that a huge success, and wouldn't care if there were some minor smoothing issues, because you wouldn't be able to smooth the boolean result AT ALL, unless you really cleaned it up.  That would be about as much work as just building it from scratch anyway, as you did there.

Great work, guys.


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LuxXeon ( ) posted Fri, 25 July 2014 at 8:05 PM · edited Fri, 25 July 2014 at 8:05 PM

file_506025.jpg

Hey guys, one last approach I've tried for this is spline retopology.  I created a tetrahedron from splines, with the numbers attached, then just surfaced each side with a grid.  This provided a clean result, which subdivided nicely, but also a very dense mesh.  Each side needs to be stitched together in the end, at the borders.

Fun stuff.

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Cybermonk ( ) posted Fri, 25 July 2014 at 8:49 PM

That's pretty clever. Gonna see if I can do something simmilar. Maybe using the shrinkwrap modifier.

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"The true sign of intelligence is not knowledge but imagination".

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Warlock279 ( ) posted Sat, 26 July 2014 at 2:50 AM · edited Sat, 26 July 2014 at 2:52 AM

WHOA...HOLD EVERYTHING! First rule of modeling something...LOOK UP WHAT YOU'RE MODELING!

So far as I know, there are NO four sided dice with a single number per face?!?!? Gosh!

There are two types of four sided die out there, one reads on the top most point, and one reads on the edge thats on the table.

Before I did any real modeling, I did some, nope, a LOT, of math! The only important number is actually angle E which is 70.259 degrees, but to find it you have to figure out a whole lot of other numbers. All the side lengths and radius can scale to whatever you like, and angle E will always come out the same [give or take a few decimal places depending how many you carry throughout]. If you know the side length you want, you can plug it in, and find the radius you need to make a 3 sided circle to get that side length. You can start with the radius, but that math isn't nearly as easy, and I'm not a hundred percent on how to go that direction with it.

Math

...look at all those colors! SWEET!

 Note - All rotations in all steps were done from the origin/zero point of my object. All the images should be clickable to view larger as well.

Step 1 - Make a 3 sided circle, or pick 3 points from a 24 sided disc which ever floats your boat, so long as you arrive at an equilateral triangle. [You software may even have a shiny tool just for that.]

Step 2 - I subdivided it once, and sliced near the bottom edge three times, rotating it between each cut. Those slices will act as my hold edges later on, how close they are to the edge of the triangle will determine how sharp the edges of the die are.

Step 3 - I subdivided it a bit more, making sure to keep my hold edges in the same place each time. Was a rough guess at this point how much geo I'd need, but figured that would be plenty.

Step 4 - Made the first of the numbers, and patched into a segment of my recently subdivided triangle. So long as you stay within the highlighted "diamond" shape, it really doesn't matter how ugly your geometry is [within reason], you won't see any errors in the final model.

Step 5 thru 8 - Repeated creating and patching in the rest of the numbers. Now I've got a full set of 4 numbers in diamonds that fit my triangle very neatly.

One

Step 9 - Selected three of my four numbers, rotating them from the origin as needed to make one complete triangle/side of the die. First face was 1,2,3.

Step 10/11 - Rotated my 1,2,3 face 70.529 degrees so it was upright, then using a snap/align tool moved that face corresponding corner of my triangle.

Step 12/13 - Repeated the process of making the face, rotating it upright, snapping it into place, then rotating on the vertical axis as need till I had all three sides. The last face, [2,3,4] remains on flat on the surface, tho it did need to be flipped 180 degrees because I'd modeled it facing up, and it needed to face down on the actual object.

Step 14 - Merged points/welded with a tolerance, whatever you wanna call it, and subpatched the mesh.

Step 15 - If you notice the points in step 14 they're a little ugly. So I tweaked my hold edge set up a little bit. and softened the points some.

Step 16 - Those points are better, all done!

Two

 The wires could be a little nicer, particularly around the numbers but it'll render fine, and I wasn't fussed too much on perfect geometry. Polycount is 3288, all quads.

Final

Alternate read-on-the-bottom version. The process is more or less the same. Instead of patching the numbers into the "diamond" you patch them into the middle of the side which is a little trickier because the numbers kind of butt up against each other in the center of the face,. So long as you don't get outside of that area or muck with the hold edges, what your geo looks patching the numbers in, doesn't really matter.

Alt

 ...and because I'm here, have no qualms with shamelessly posting my crap now, and have played along with doing the numbers using geo rather than textures... here's one from my gallery done a long time ago that does use bump maps.

Zocci

Unless you need an incredibly high level of detail, bump maps will suffice for something like platonic dice generally, especially since the numbers aren't usually anywhere near as deep as the dots on your standard six-sided die would be.

 ...no booleans were used in the making of this object... [MIC DROP]

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Cybermonk ( ) posted Sat, 26 July 2014 at 8:03 AM

Thanks Warlock that was a most impressive tutorial.  You know I could have sworn some of the 4 sided dice had a single number. Checked my old D&D dice and sure enough every one was 3 per side. My bad. :)  Well off to see if I can replicate the same process.

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LuxXeon ( ) posted Sat, 26 July 2014 at 12:03 PM

Wow.  Very impressive, Warlock.  I had no idea thes dice have 3 numbers per face, and I never bothered to check.  Just dove into what was being asked here in the challenge.

Great approach to solving the mathematical end.  I'll give it a go also when I find some time.  Wel done, and looks fairly easy.

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SinnerSaint ( ) posted Sat, 26 July 2014 at 2:18 PM

Quote - WHOA...HOLD EVERYTHING! First rule of modeling something...LOOK UP WHAT YOU'RE MODELING!

So far as I know, there are NO four sided dice with a single number per face?!?!? Gosh!

 

Your nerd is showing, mate!

Actually, I was wondering when someone here was going to notice that blaring issue.

CLASS DISMISSED. :lol:


LuxXeon ( ) posted Sat, 26 July 2014 at 9:13 PM · edited Sat, 26 July 2014 at 9:14 PM

Quote - Your nerd is showing, mate! Actually, I was wondering when someone here was going to notice that blaring issue.

CLASS DISMISSED. :lol:

Quite honestly, until today, I didn't know a tetrahedra die like this existed in reality; I just figured this was a creation of Cybermonk's imagination, as a challenge to the modeling community, so I never bothered to check.  I knew some of the others in Warlock's render existed.

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