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# MATLAB > tetmesh > tet: mesh, X: element > X:座標情報, tet: 四角形の座標インデックス?

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``````GeForce GTX 1070 (8GB)
ASRock Z170M Pro4S [Intel Z170chipset]
Ubuntu 16.04 LTS desktop amd64
TensorFlow v1.2.1
cuDNN v5.1 for Linux
CUDA v8.0
Python 3.5.2
IPython 6.0.0 -- An enhanced Interactive Python.
gcc (Ubuntu 5.4.0-6ubuntu1~16.04.4) 5.4.0 20160609
GNU bash, version 4.3.48(1)-release (x86_64-pc-linux-gnu)
scipy v0.19.1
geopandas v0.3.0
MATLAB R2017b (Home Edition)
``````

### 関連

MATLAB > load tetmesh > tetとX > nodeとelement

### tet:meshとX:element

``````>> load tetmesh
>> size(tet),size(X)

ans =

4969           4

ans =

1456           3
``````

Nodes is a D-by-Nn matrix, where D is the number of geometry dimensions (2 or 3), and Nn is the number of nodes in the mesh. Each column of Nodes contains the x, y, and in 3-D, z coordinates for that mesh node.

Mesh elements, returned as an M-by-Ne matrix, where Ne is the number of elements in the mesh, and M is:
...
Each column in Elements contains the indices of the nodes for that mesh element.

``````>> X(1:5,:)

ans =

-22.5000         0   20.0000
-22.5000         0         0
0   22.5000         0
22.5000         0         0
22.5000         0   20.0000
``````

Xは座標なのだろう。

``````>> tet(1:10,:)

ans =

1092        1093         858         891
1092         856        1094        1095
1092        1095         896         856
1092        1096        1097         891
1092        1094        1098        1095
1092         896        1096         891
1099        1100        1101        1102
579        1103        1099        1104
1105        1099        1102        1100
1099        1100         670         576
``````

tetは四角形の情報と推測する。各四角形に対して、Xで定義された座標のインデックスがtetに入っているのだろう。

``````load tetmesh
trep = TriRep(tet, X);
[tri xf] = freeBoundary(trep);
trisurf(tri, xf(:,1),xf(:,2),xf(:,3), 'FaceColor', 'cyan', 'FaceAlpha', 0.8);
``````

のコードは、TriRep()を使い三角形に分割する。

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