DouKaku?beta

challenge ポリゴンを表示するプログラム 

適当なポリゴンを表示させて、描画するプログラムを書いてください。
ポリゴンは回転させてください。

2D処理だけなら、標準ライブラリで大体いけますが、
3D処理は追加でライブラリを利用すると思うので、
何のライブラリを利用したのか書いてください。
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ネタ回答～
適当なポリゴンを表示してしかもポリゴンは回っています
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use strict;

my @pos = (
[[0,0],[1,1],[2,2],[3,3]],
[[1,0],[1,1],[2,2],[2,3]],
[[2,0],[2,1],[1,2],[1,3]],
[[3,0],[2,1],[1,2],[0,3]],
[[3,1],[2,1],[1,2],[0,2]],
[[3,2],[2,2],[1,1],[0,1]],
[[3,3],[2,2],[1,1],[0,0]],
[[2,3],[2,2],[1,1],[1,0]],
[[1,3],[1,2],[2,1],[2,0]],
[[0,3],[1,2],[2,1],[3,0]],
[[0,2],[1,2],[2,1],[3,1]],
[[0,1],[1,1],[2,2],[3,2]],
);

my $i = 0;
while (1) {
  my $cpos = $pos[$i];
  my @cell;
  $cell[$cpos->[0][0]][$cpos->[0][1]] = 'ポ';
  $cell[$cpos->[1][0]][$cpos->[1][1]] = 'リ';
  $cell[$cpos->[2][0]][$cpos->[2][1]] = 'ゴ';
  $cell[$cpos->[3][0]][$cpos->[3][1]] = 'ン';

  clear_screen();
  print "適当な\n";
  foreach my $c ( @cell ) {
    foreach my $cc ( @$c ) {
      print $cc ? $cc : '  ';
    }
    print "\n";
  }
  sleep 1;
} continue {
  if ( ++$i == @pos ) {
    $i = 0;
  }
}

sub clear_screen
{
  if ( $^O =~ /Win32/ ) {
    system('cls');
  }
  else {
    if (system('clear') != 0) {
      print "\x1b[2J";
    }
  }
}

HSP 3.1以降に標準添付のライブラリ d3module を使って。 
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#include "d3m.hsp"
    
    xs = -1, 1, 1,-1
    ys = -1,-1, 1, 1
    
    repeat
        redraw 0
        color 255, 255, 255 : boxf
        d3setcam 1500, 0, 500
        color
        d3initlineto
        rad = 0.05 * cnt
        repeat 5
            x = xs(cnt\4) * 500
            y = ys(cnt\4) * 500
            d3rotate x, y, x, y, rad
            d3lineto x, y, 0
            d3line x, y, 0, 0, 0, 700
            d3line x, y, 0, 0, 0, -700
        loop
        redraw
        await 40
    loop

Squeak Smalltalk で。Balloon3D というパッケージを用いて正十二面体を回転させました。

see: Balloon3D - a tutorial 

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| sceneObj view solid colors |
solid := B3DRegularSolid dodekahedron.
colors := (Color wheel: 12) collect: [:each | each asB3DColor].
solid setFaceColors: colors.
sceneObj := B3DSceneObject named: 'solid'.
sceneObj geometry: solid.
view := AdvancedB3DSceneMorph new.
view scene objects: (OrderedCollection with: sceneObj).
view beRotating; openInHand

ポリゴン(多角形) でよいのでしょうか? それともポリヘドロン(多面体)? ポリゴンを面内で回す分には3次元ライブラリは要らなそうですが....


以下の手順で描いています(Mathematica 6)。

1. 頂点を定義
2. ポリゴンを定義
3. 描画

マウスでドラッグすると回転します。

特別なライブラリは使っていません。
（Mathematica 5だと「<< RealTime3D`」が必要です。）
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a = {1, 0, 0};
b = {-1/2, Sqrt@3/2, 0};
c = {-1/2, -Sqrt@3/2, 0};
d = {0, 0, Sqrt@2};

tetra = {
   Polygon[{a, b, c}],
   Polygon[{a, b, d}],
   Polygon[{b, c, d}],
   Polygon[{c, a, d}]
  };

Show[Graphics3D[tetra]]

たぶん題意は「ポリゴンを3次元的に回す(面内で回すのではなく)」と言うことでしょう。


VPython

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from visual import *
redbox=box()
while 1: redbox.rotate(angle=1)

題意を、

・ポリゴンによって任意の立体を表示する。
・立体は回転させる。

という意味と解釈しました。

Java3Dによって立方体を回転させています。回転はY軸方向とX軸方向のそれぞれで行っています（Y軸方向だけでも良かったのですが、それでは全部の面が見えないのでX軸方向の回転を追加しました）。 
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import javax.swing.*;
import java.awt.*;
import javax.media.j3d.*;
import javax.vecmath.*;
import com.sun.j3d.utils.universe.*;
import com.sun.j3d.utils.geometry.ColorCube;

@SuppressWarnings("serial")
public class Sample3D extends JFrame {
    public BranchGroup createSceneGraph() {
        BranchGroup objRoot = new BranchGroup();

        TransformGroup objTrans = new TransformGroup();
        objTrans.setCapability(TransformGroup.ALLOW_TRANSFORM_WRITE);
        objRoot.addChild(objTrans);

        Transform3D axis = new Transform3D();
        axis.rotZ(Math.PI / 2);
        BoundingSphere bounds = new BoundingSphere(new Point3d(), 100.0);
        RotationInterpolator rotator = new RotationInterpolator(new Alpha(-1,
                20 * 4000), objTrans, axis, 0.0f, (float) Math.PI * 2.0f);
        rotator.setSchedulingBounds(bounds);
        objRoot.addChild(rotator);

        TransformGroup objTrans2 = new TransformGroup();
        objTrans2.setCapability(TransformGroup.ALLOW_TRANSFORM_WRITE);
        objTrans.addChild(objTrans2);
        rotator = new RotationInterpolator(new Alpha(-1, 4000), objTrans2);
        rotator.setSchedulingBounds(bounds);
        objRoot.addChild(rotator);

        objTrans2.addChild(new ColorCube(0.4));
        objRoot.compile();
        return objRoot;
    }

    public Sample3D() {
        getContentPane().setLayout(new BorderLayout());
        GraphicsConfiguration config = SimpleUniverse.getPreferredConfiguration();
        Canvas3D canvas = new Canvas3D(config);
        getContentPane().add(canvas, BorderLayout.CENTER);
        BranchGroup scene = createSceneGraph();
        SimpleUniverse universe = new SimpleUniverse(canvas);
        universe.getViewingPlatform().setNominalViewingTransform();
        universe.addBranchGraph(scene);
    }

    public static void main(String[] args) {
        Sample3D sample = new Sample3D();

        sample.setBounds(10, 10, 480, 480);
        sample.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        sample.setVisible(true);
    }
}


DirectXを使いました～。
平面ポリゴンを回転させてるだけです。

see: ソーサリーフォース 

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using System;
using System.Drawing;
using System.Windows.Forms;

using Microsoft.DirectX;
using Microsoft.DirectX.Direct3D;

class ViewPoly : Form
{
    private Device dev;
    private VertexBuffer vertex;
    private float polyTheta = 0.0f;

    public bool Init()
    {
        this.Text = "ポリゴン回ります";
        this.MaximizeBox = false;
        this.FormBorderStyle = FormBorderStyle.FixedSingle;
        this.Size = new Size(480, 480);

        PresentParameters pp = new PresentParameters();
        pp.Windowed = true;
        pp.SwapEffect = SwapEffect.Discard;
        pp.EnableAutoDepthStencil = true;
        pp.AutoDepthStencilFormat = DepthFormat.D16;

        try
        {
            this.dev = new Device(
                0, 
                DeviceType.Reference,
                this.Handle,
                CreateFlags.SoftwareVertexProcessing,
                pp
            );
        }
        catch
        {
            return false;
        }

        this.vertex = new VertexBuffer(
            typeof(CustomVertex.PositionColored),
            4,
            this.dev,
            Usage.None,
            CustomVertex.PositionColored.Format,
            Pool.Managed
        );

        this.dev.Transform.View = Matrix.LookAtLH(
            new Vector3(0.0f, 0.0f, -15.0f),
            new Vector3(0.0f, 0.0f, 0.0f),
            new Vector3(0.0f, 1.0f, 0.0f)
        );

        this.dev.Transform.Projection = Matrix.PerspectiveFovLH(
            Geometry.DegreeToRadian(60.0f),
            (float)this.dev.Viewport.Width / (float)this.dev.Viewport.Height,
            1.0f,
            100.0f
        );

        this.dev.RenderState.Lighting = false;
        this.dev.RenderState.CullMode = Cull.None;

        return true;
    }

    public void Render()
    {
        this.dev.Clear(ClearFlags.Target | ClearFlags.ZBuffer, Color.DarkBlue, 1.0f, 0);
        this.dev.BeginScene();
        this.RollingPoly();
        this.dev.EndScene();
        this.dev.Present();

    }

    private void RollingPoly()
    {
        float theta = Geometry.DegreeToRadian(
            (float)((polyTheta -= 10.0f) % 360.0f)
        );

        CustomVertex.PositionColored[] vertexPc
            = new CustomVertex.PositionColored[4];

        vertexPc[0] = new CustomVertex.PositionColored(
            -4.0f * (float)(Math.Sin(theta)),
            4.0f,
            -4.0f * (float)Math.Cos(theta),
            Color.Red.ToArgb()
        );
        vertexPc[1] = new CustomVertex.PositionColored(
            4.0f * (float)(Math.Sin(theta)),
            4.0f,
            4.0f * (float)Math.Cos(theta),
            Color.Blue.ToArgb()
        );
        vertexPc[2] = new CustomVertex.PositionColored(
            -4.0f * (float)(Math.Sin(theta)),
            -4.0f,
            -4.0f * (float)Math.Cos(theta),
            Color.Red.ToArgb()
        );
        vertexPc[3] = new CustomVertex.PositionColored(
            4.0f * (float)(Math.Sin(theta)),
            -4.0f,
            4.0f * (float)Math.Cos(theta),
            Color.Blue.ToArgb()
        );

        using (GraphicsStream gs
            = this.vertex.Lock(0, 0, LockFlags.None))
        {
            gs.Write(vertexPc);
            this.vertex.Unlock();
        }

        this.dev.SetStreamSource(0, this.vertex, 0);
        this.dev.VertexFormat = CustomVertex.PositionColored.Format;
        this.dev.DrawPrimitives(PrimitiveType.TriangleStrip, 0, 2);
    }

    public void dispose()
    {
        if (this.vertex != null)
            this.vertex.Dispose();

        if (this.dev != null)
            this.dev.Dispose();
    }

    public static void Main(string[] args)
    { 
        using (ViewPoly vp = new ViewPoly())
        {
            if (vp.Init())
            {
                vp.Show();
                while (vp.Created)
                {
                    vp.Render();
                    Application.DoEvents();
                    System.Threading.Thread.Sleep(50);
                }
                vp.dispose();
            }
        }
    }
}

プログラムと呼ぶのかはわかりませんが、マウスでぐりぐりっと回転できます.
VRMLビューアが必要です.

see: VRMLview 

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#VRML V2.0 utf8
Shape {
  geometry IndexedFaceSet {
    coord Coordinate {
      point [ 0 0 0.3, 0 2 0, 1.73 -1 0, -1.73 -1 0 ]
    }
    coordIndex [
     0 1 2 -1
     0 2 3 -1
     0 3 1 -1
    ]
    solid FALSE
  }
  appearance Appearance {
    material Material {}
  }
}


ありふれた環境でもできないものかと、 ECMA Script + SVGで書きました。

 tetrahedron.svgなどの名前でファイルを保存し、ブラウザにドラッグアンドドロップす
ることで、回転する四面体が表示されます。

Adobe SVG Viewerでは動作しません。 Firefox 2.0.0.8, Opera 9.26, Safari 3.1で動作
を確認しました。
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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 20010904//EN" "http://www.w3.org/TR/2001/REC-SVG-20010904/DTD/svg10.dtd">
<svg xmlns="http://www.w3.org/2000/svg" onload="new Tetrahedron(100).rotate(1, 1)">
    <script type="text/ecmascript">
    <![CDATA[
        var NS = document.documentElement.getAttribute('xmlns'); // 名前空間

        Function.prototype._setInterval = 
        function (t, o, v) {
            var _ = this;
            return setInterval(function () { _.apply(o, v); }, t);
        };

        var Tetrahedron = 
        function (n /* 一辺の長さ */) {
            this._ = null;
            this.u = null; // 上面
            this.l = null; // 下面
            this.s = [  ]; // 側面
            this.x = 0;
            this.y = 0;
            this.R = (Math.PI / 180).toFixed(2); // ラジアン角
            this.S = n;
            this.X = [ 0, n, n, 0 ];
            this.Z = [ 0, 0, n, n ];

            // 正四面体
            this._ = document.createElementNS(NS, 'g');
            this._.setAttribute('transform', 'translate(250, 250)');
            document.rootElement.appendChild(this._);
            // 上面
            this.u = document.createElementNS(NS, 'path');
            this.u.setAttribute('stroke', 'none');
            this.u.setAttribute('fill', '#000000');
            this.u.setAttribute('opacity', 0.4);
            this._.appendChild(this.u);
            // 下面
            this.l = document.createElementNS(NS, 'path');
            this.l.setAttribute('stroke', 'none');
            this.l.setAttribute('fill', '#000000');
            this.l.setAttribute('opacity', 0.4);
            this._.appendChild(this.l);
            // 側面
            for (i = 0; i < 4; i++) {
                this.s[i] = document.createElementNS(NS, 'path');
                this.s[i].setAttribute('stroke', 'none');
                this.s[i].setAttribute('fill', '#000000');
                this.s[i].setAttribute('opacity', 0.5);
                this._.appendChild(this.s[i]);
            }
            // ビューポート
            document.rootElement.setAttribute('width' , 500);
            document.rootElement.setAttribute('height', 500);
            // ビューボックス
            document.rootElement.setAttribute('viewBox', '0 0 500 500');
            document.rootElement.setAttribute('preserveAspectRatio', 'xMinYMin slice');
        };

        Tetrahedron.prototype.move = 
        function (v /* 垂直方向の増分 */, h /* 水平方向の増分 */) {
            var U = [], L = [];
            var l = '', u = '', s = '';
            var i, j;

            this.x += v; this.y += h;

            // 上面, 下面
            for (i = 0; i < 4; i++) {
                U[i] = this.transform(this.x * this.R, this.y * this.R, 0, this.X[i], this.S, this.Z[i]);
                L[i] = this.transform(this.x * this.R, this.y * this.R, 0, this.X[i],      0, this.Z[i]);
                u += ((i == 0) ? 'M' : 'L') + ' ' + U[i].x + ' ' + U[i].y + ' ';
                l += ((i == 0) ? 'M' : 'L') + ' ' + L[i].x + ' ' + L[i].y + ' ';
            }
            this.u.setAttribute('d', u + 'Z');
            this.l.setAttribute('d', l + 'Z');
            // 側面
            for (i = 0, j = 1; i < 4; i++, j++) {
                if (j == 4) j = 0;
                s = 'M ' + L[i].x + ' ' + L[i].y + ' '
                  + 'L ' + U[i].x + ' ' + U[i].y + ' '
                  + 'L ' + U[j].x + ' ' + U[j].y + ' '
                  + 'L ' + L[j].x + ' ' + L[j].y + ' ';
                this.s[i].setAttribute('d', s + 'Z');
            }
        };

        Tetrahedron.prototype.transform = 
        function (_x, _y, _z, x, y, z) {
            var __x, __y, __z;

            __x = x * Math.cos(_y) +   z * Math.sin(_y);
            __z = z * Math.cos(_y) -   x * Math.sin(_y);
            __y = y * Math.cos(_x) - __z * Math.sin(_x);

            return { 'x' : __x * Math.cos(_z) - __y * Math.sin(_z)
                   , 'y' : __x * Math.sin(_z) + __y * Math.cos(_z)
                   }; // アフィン変換
        };

        Tetrahedron.prototype.rotate = 
        function (h, v) {
            this.move._setInterval(50, this, [ h, v ]);
        };
    ]]>
    </script>
</svg>

昔どこかのページを参考に作った奴です。

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module Main where

import System
import Graphics.UI.GLUT
import System.Random

display n = do
    clear [ ColorBuffer ]
    color $ Color3 (0.6::Double) 0.6 0.6
    preservingMatrix $ do
        renderPrimitive Polygon $ mapM_ vertex (nlist n)
    flush
    where
        nlist n = nVertex n du
        du = 2.0 * pi / fromIntegral n

nVertex n du
    | n == 0        = [ point ]
    | otherwise     = point : nVertex (n-1) du
    where
        radius = 0.75
        x = toRational (radius * cos (pi / 2.0 + fromIntegral n * du))
        y = toRational (radius * sin (pi / 2.0 + fromIntegral n * du))
        point = Vertex3 (fromRational x) (fromRational y) (0.0 :: GLfloat)


timer n = do
        rotate (1::Double) (Vector3 0 1 0)
        display n
        finish
        addTimerCallback 10 (timer n)

inputKey (Char 'q') _ _ _  = exitWith ExitSuccess
inputKey _ _ _ _            = return ()

main = do
    (fileName, args) <- getArgsAndInitialize
    let n = case args of
        [] -> 3
        _ -> max 3 $ read $ head args
    createWindow "Haskell OpenGL"
    displayCallback $= display n
    addTimerCallback 1000 (timer n)
    keyboardMouseCallback $= Just (inputKey)
    mainLoop


PostScript で。
2次元なら簡単なんですが、3次元は手頃なライブラリが見当らないので力技で。
動画というわけにはいかないので、パラパラ漫画を出力します。
シェーダーを実装する元気はないので、立体感は強引な陰線処理と
ステレオ図の出力で勘弁しといて下さい。
# どっかにレイトレースする PS のコードがあったような....
前半分はひたすら行列計算用のコードです。

このままプリンタ出力すると 36枚で立方体がぐるっと一周まわります。
ghostscriptかAcrobat でページをすばやく切り替えて眺めてやると
回っているように見えるかなぁ.....
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%!PS

% Tiny Vector Library
/DotProduct { % [Vector1] [Vector2]  DotProduct scaler
    [ 3 1 roll
    dup length 1 sub 0 1 3 -1 roll {
        3 copy get 3 1 roll exch get mul 3 1 roll
    } for
    pop pop
    ]

    0 exch
    { add } forall
} bind def

/VectorAdd { % [Vector1] [Vector2]   VectorMul  [NewVector]
    [ 3 1 roll
    dup length 1 sub 0 1 3 -1 roll {
    3 copy get 3 1 roll exch get add 3 1 roll
    } for
    pop pop
    ]
} bind def

/VectorScale { % [Vector] scale  VectorScale  [Vector']
    0 1 3 index length 1 sub {
        2 index 1 index get
        2 index mul
        3 index 3 1 roll put
    } for
    pop
} bind def

/VectorCopy { % [Vector]  VectorScale  [NewVector]
    aload length array astore
} bind def


% Tiny Matrix Library
/MatrixTranspose { % [Matrix1] MatrixTranspose [NewMatrix]
    [ exch
    dup 0 get length 1 sub 0 1 3 -1 roll
    {
        [ exch 2 index
        {
            1 index get
            exch
        } forall
        pop ]
        exch
    } for
    pop
    ]
} bind def

/MatrixMul { % [[Matrix1]] [[Matrix2]]  MatrixMul  [[NewMatrix]]
    MatrixTranspose exch
    [ 3 1 roll
    {
        [ exch 2 index
        {
            1 index DotProduct exch
        } forall
        pop
    ] exch
    } forall
    pop
    ]
} bind def

/MatrixCopy { % [[Matrix]] MatrixCopy [[NewMatrix]]
    [ exch
    {
        VectorCopy
    } forall
    ]
} bind def

/Matrix3Copy { % [[[Matrix]]] Matrix3Copy [[[NewMatrix]]]
    [ exch
    {
        MatrixCopy
    } forall
    ]
} bind def

/VectorZero { % [Vector] VectorZero [Vector']
    0 1 2 index length 1 sub {
        1 index exch 0 put
    } for
} bind def
/VectorRoll { % [Vector] roll_count VectorRoll [Vector']
    mark 2 index aload length counttomark 1 add index roll
    counttomark 2 add index astore pop pop pop
} bind def

/MatrixIdentity { % size MatrixIdentity [[NewMatrix]]
    [ exch dup array VectorZero dup 0 1 put
    % [ size [1 0 ... 0]
    exch {
        dup VectorCopy 1 VectorRoll
    } repeat
    pop
    ]
} bind def

% End of Matrix Library
% --------------------------------------
/VY { [ exch ] MatrixTranspose } bind def
/VX { MatrixTranspose 0 get } bind def

/RotateMatrixX { % theta(degree)   RotateMatrixX   [Matrix]
    dup cos exch sin 2 copy neg % cos sin cos -sin
    [
        [ 1 0 0]
        [ 0 6 -2 roll ]
        [ 0 7 -2 roll exch ]
    ]
} bind def

/RotateMatrixY { % theta(degree)   RotateMatrixY   [Matrix]
    dup cos exch sin 2 copy neg % cos sin cos -sin
    [
        [ 6 -1 roll 0 7 -1 roll ]
        [ 0 1 0 ]
        [ 5 -1 roll 0 7 -1 roll ]
    ]
} bind def

/RotateMatrixZ { % theta(degree)   RotateMatrixZ   [Matrix]
    dup cos exch sin 2 copy neg % cos sin cos -sin
    [
        [ 4 -2 roll 0 ]
        [ 5 -2 roll exch 0 ]
        [ 0 0 1 ]
    ]
} bind def

/CompareDistance { % [x1 y1 z1] [x2 y2 z2] CompareDistance [] [] z1-z2
    dup 0 get 2 get 3 -1 roll dup 0 get 2 get
    % [V2] z2 [V1] z1
    exch 4 1 roll sub
} bind def

/Sort { % [[x y] [x1 y1] Array Data ] {CompareFunction}  Sort [ArrayData]
    cvx [ 3 -1 roll
    aload length
    % func -mark[- [] [] [] [] [] len
    -1 2 { % func -mark[- [] [] [] [] [] len2
        -1 2 {
            3 1 roll
            counttomark 1 add index exec  %% Compare
            0 lt { exch } if
            3 -1 roll
            1 roll
        } for
        counttomark 1 roll
    } for
    counttomark 1 roll
    ] exch pop
} bind def

/CalcVertex { % [Vect] distance scale  CalcVertex  x y
        3 -1 roll aload pop
        % distance scale x y z
        5 -2 roll exch
        % x y z scale  distance
        dup 0 eq {
            pop  exch pop
        } {
            3 -1 roll add div
        } ifelse
        % x y scale
        dup 3 -1 roll mul
        % x scale scale*y
        3 1 roll mul exch
} bind def


/DrawPolygon { % [[GC] [Vertex1] [Vertex2] ...] distance scale
    3 -1 roll mark exch aload pop
    counttomark 2 add index counttomark 1 add index CalcVertex
    moveto

    counttomark 1 sub {
        counttomark 2 add index counttomark 1 add index CalcVertex
        lineto
    } repeat
    closepath
    gsave 0.5 setgray fill  grestore
    0.1 setlinewidth stroke
    pop pop pop pop
} bind def

/Projection {
    % distance scale [[Object]] view_matrix Projection
    %                 distance scale [[Object]] view_matrix 
    4 1 roll dup Matrix3Copy dup {
        % vmt dist scale [[Obj]] [[NewObj]] [[Polygon-n]]
        {
            % vmt dist scale [[Obj]] [[NewObj]] [[Vertex-n]]
            dup 6 index exch VY MatrixMul VX
            0 exch putinterval
        } forall
    } forall
    /CompareDistance Sort
    % vmt dist scale [[Obj]] [[NewObj']] 
    {
        % vmt dist scale [[Obj]] [[NewPolygon-n]]
        3 index 3 index DrawPolygon
    } forall
    4 -1 roll
} bind def


/Translate { % [[[Object]]] [dx dy dz]  Translate [[[Object']]]
    1 index {
        % [[[Object]]] [dx dy dz] [[Polygon]]
        {
            % [[[Object]]] [dx dy dz] [x y z]
            dup 2 index VectorAdd
            % [[[Object]]] [dx dy dz] [x y z] [nx ny nz]
            0 exch putinterval
        } forall
    } forall
    pop
} bind def

% ---------------- Test Code -------------------

/Cube [
    % Gravity Center, Vertex1, 2, .... 
    [[0.5 0.5 0] [0 0 0] [1 0 0] [1 1 0] [0 1 0]]
    [[0.5 0.5 1] [0 0 1] [1 0 1] [1 1 1] [0 1 1]]
    [[0 0.5 0.5] [0 0 0] [0 1 0] [0 1 1] [0 0 1]]
    [[1 0.5 0.5] [1 0 0] [1 1 0] [1 1 1] [1 0 1]]
    [[0.5 0 0.5] [0 0 0] [0 0 1] [1 0 1] [1 0 0]]
    [[0.5 1 0.5] [0 1 0] [0 1 1] [1 1 1] [1 1 0]]
] def


/Demo {
    % Projection Distance  & Scale
    5   400
    % Object
    Cube [-0.5 -0.5 -0.5] Translate
    % Initial View Matrix
    3 MatrixIdentity
    -20 RotateMatrixX MatrixMul
    20 RotateMatrixY MatrixMul
    5 RotateMatrixZ MatrixMul

    % Rotation
    36 {
        gsave
        200 200 translate
        1 1 scale
        0.1 setlinewidth
        Projection
%---- Stereo Projection ----
        200 0 translate
        5 RotateMatrixY MatrixMul
        Projection
        -5 RotateMatrixY MatrixMul
%---- End Stereo Projection ----
        grestore
        showpage
        10 RotateMatrixY MatrixMul
    } repeat
    4 { pop } repeat
} bind def

Demo

Ruby/SDLとOpenGLでベタに書いてみました。

see: Ruby/SDL 

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require 'sdl'
require 'opengl'

vertices = [
  [[1.0, 0.0, 0.0], [-1.0, -1.0, 0.0]],
  [[0.0, 1.0, 0.0], [ 1.0, -1.0, 0.0]],
  [[0.0, 0.0, 1.0], [ 1.0,  1.0, 0.0]],
  [[1.0, 1.0, 1.0], [-1.0,  1.0, 0.0]]
]

SDL.init(SDL::INIT_VIDEO)
SDL::Screen.open(600, 600, 16, SDL::OPENGL)

GL.ClearColor(0.0, 0.0, 0.2, 1.0);
GL::Ortho(-2.0, 2.0, -2.0, 2.0, -2.0, 2.0)
GL::MatrixMode(GL::MODELVIEW);

loop {
  GL.Clear(GL::COLOR_BUFFER_BIT);
  
  GL::Rotate(1.0, 2.0, 3.0, 1.0);
  
  GL::Begin(GL::QUADS)
  vertices.each {|v|
    GL::Color(v[0])
    GL::Vertex(v[1])
  }  
  GL::End()
  
  SDL::GL.swap_buffers
  
  evt = SDL::Event.poll
  case evt
  when SDL::Event::Quit
    exit
  when SDL::Event::KeyUp
    exit if evt.sym == SDL::Key::ESCAPE
  end
}

Processing で。 可視化が本分の Processing で、 python より長いのがちょっと残念ですが。

see: 

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float theta = 0.0;

void setup() {
  size(200, 200, P3D);
}

void draw() {
  background(0);
  lights();
  translate(width/2, height/2, 0);
  rotateX(PI/3+theta);
  rotateY(theta);
  box(100);
  theta += PI/256;
}

ログインし忘れました


cl-glfwを利用しています。付属のサンプルを少し改造しただけです。

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require '#:asdf)
(asdf:oos 'asdf:load-op '#:cl-glfw)
(asdf:oos 'asdf:load-op '#:cl-glfw-opengl)
(asdf:oos 'asdf:load-op '#:cl-glfw-glu)

(glfw:do-window ("A Polygon Example")
    ((gl:with-setup-projection
       (glu:perspective 45 4/3 0.1 50)))
  (gl:clear gl:+color-buffer-bit+)
  (gl:load-identity)
  (gl:translate-f 0 0 -5)
  (gl:rotate-f (* 10 (glfw:get-time)) 1 1 0)
  (gl:rotate-f (* 90 (glfw:get-time)) 0 0 1)
  (gl:with-begin gl:+line-loop+ ;+triangle-strip+
    (gl:color-3f 0 1 0) (gl:vertex-3f -1  1 0)
    (gl:color-3f 0 0 1) (gl:vertex-3f -1 -1 0)
    (gl:color-3f 0 1 0) (gl:vertex-3f -1  0 1)
    (gl:color-3f 0 1 0) (gl:vertex-3f -1  1 0)
    (gl:color-3f 1 0 0) (gl:vertex-3f  1  0 0)
    (gl:color-3f 0 1 0) (gl:vertex-3f -1  0 1)
    (gl:color-3f 1 0 0) (gl:vertex-3f  1  0 0)
    (gl:color-3f 0 0 1) (gl:vertex-3f -1 -1 0)))

#6023をscalaに移植しました。 またしても、java-->scala移植の暗黒面に・・・

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import scala.swing._

import javax.media.j3d._
import javax.vecmath._
import com.sun.j3d.utils.universe._
import com.sun.j3d.utils.geometry.ColorCube

@SuppressWarnings(Array("serial"))
object Sample3D {
    def createSceneGraph() :BranchGroup = {
        val objRoot = new BranchGroup();

        val objTrans = new TransformGroup();
        objTrans.setCapability(TransformGroup.ALLOW_TRANSFORM_WRITE);
        objRoot.addChild(objTrans);

        val axis = new Transform3D();
        axis.rotZ(Math.Pi / 2);
        val bounds = new BoundingSphere(new Point3d(), 100.0);
        
        var rotator = new RotationInterpolator(
                new Alpha(-1,20 * 4000) , 
                objTrans , 
                axis     , 
                0.0F     , 
                (Math.Pi * 2.0).toFloat);
        rotator.setSchedulingBounds(bounds);
        objRoot.addChild(rotator);

        val objTrans2 = new TransformGroup();
        objTrans2.setCapability(TransformGroup.ALLOW_TRANSFORM_WRITE);
        objTrans.addChild(objTrans2);
        rotator = new RotationInterpolator(new Alpha(-1, 4000), objTrans2);
        rotator.setSchedulingBounds(bounds);
        objRoot.addChild(rotator);

        objTrans2.addChild(new ColorCube(0.4));
        objRoot.compile();
        return objRoot;
    }
}

object Main extends SimpleGUIApplication {
    val config = SimpleUniverse.getPreferredConfiguration();
    val canvas = new Canvas3D(config);
    
    //create frame window
    def top=new MainFrame{
      peer.setBounds(10, 10, 480, 480)
      //caption
      title = "Sample3D with Scala/Java3D"
      
      val contentPane = peer.getContentPane()
      contentPane.setLayout(new java.awt.BorderLayout());
      contentPane.add(canvas,java.awt.BorderLayout.CENTER)
      
    } // end of MainFrame
    
    val scene = Sample3D.createSceneGraph();
    val universe = new SimpleUniverse(canvas);
    universe.getViewingPlatform().setNominalViewingTransform();
    universe.addBranchGraph(scene);
    
}

Papervision3Dを使用。wonderflにも置いておきました。

see: ポリゴンを表示するプログラム(http://ja.doukaku.org/168/) | wonderfl build flash online 

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package {
  import flash.events.Event;
  import org.papervision3d.view.BasicView;
  import org.papervision3d.objects.primitives.Cube;
  import org.papervision3d.materials.WireframeMaterial;
  import org.papervision3d.materials.utils.MaterialsList;
  
  [SWF(width="400", height="300", backgroundColor="#eeffee", frameRate="15")] 
  public class RotatePolygon extends BasicView {
    private var cube:Cube;
    
    public function RotatePolygon() {
      super(0, 0, true);
      var wfm:WireframeMaterial = new WireframeMaterial(0x009900);
      var m:MaterialsList = new MaterialsList({all:wfm});
      cube = new Cube(m, 500, 500, 500, 3, 3, 3);
      scene.addChild(cube)
      stage.addEventListener(Event.ENTER_FRAME, enterFrameHandler);
    }

    private function enterFrameHandler(e:Event):void {
      cube.pitch(3);
      cube.yaw(2);
      cube.roll(6);
      startRendering();
    }
  }
}

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