> For the complete documentation index, see [llms.txt](https://primer2.dynamobim.org/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://primer2.dynamobim.org/zh-tw/8_coding_in_dynamo/8-2_geometry-with-design-script/9-geometric-booleans.md).

# 幾何布林運算

*Intersect*、*Trim* 和 *SelectTrim* 主要是用在較低維度的幾何圖形 (例如點、曲線和曲面)。而立體幾何圖形則有額外的一組方法，可以透過類似 *Trim* 的方法減去材料，然後將元素合併在一起形成較大的元素，在建構幾何圖形後修改形狀。

### Union (聯集)

*Union* 方法使用兩個實體物件，從兩個物件都涵蓋到的空間建立單一實體物件。物件之間重疊的空間會合併成最終的形狀。此範例將一個圓球和一個立方體合併成一個單一的立體圓球-立方塊造型：

```js
s1 = Sphere.ByCenterPointRadius(
    CoordinateSystem.Identity().Origin, 6);

s2 = Sphere.ByCenterPointRadius(
    CoordinateSystem.Identity().Origin.Translate(4, 0,
    0), 6);

combined = s1.Union(s2);
```

### Difference (差集)

*Difference* 方法與 *Trim* 類似，從基準實體減去輸入工具實體的內容。在此範例中，我們從一個圓球切掉一個小凹口：

```js
s = Sphere.ByCenterPointRadius(
    CoordinateSystem.Identity().Origin, 6);

tool = Sphere.ByCenterPointRadius(
    CoordinateSystem.Identity().Origin.Translate(10, 0,
    0), 6);

result = s.Difference(tool);
```

### Intersect (交集)

*Intersect* 方法傳回兩個實體輸入之間重疊的實體。在以下範例中，*Difference* 已變成 *Intersect*，產生的實體是一開始切掉不見的空洞：

```js
s = Sphere.ByCenterPointRadius(
    CoordinateSystem.Identity().Origin, 6);

tool = Sphere.ByCenterPointRadius(
    CoordinateSystem.Identity().Origin.Translate(10, 0,
    0), 6);

result = s.Intersect(tool);
```


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