捕夢網生成器 Dreamcatcher Generator
互動式捕夢網設計工具 · 6 種幾何圖案 · 支援 PNG、JPG & SVG 下載 Interactive geometric dreamcatcher tool. Export PNG, JPG or SVG — perfect for laser cutting & craft projects.
→ View Pattern Gallery · 瀏覽作品集 (12 patterns)SVG 為向量格式，任意縮放不失真，適合雷射切割與大型印刷。SVG is vector — infinitely scalable, perfect for laser cutting & large-format printing.
6 Patterns · 6 種圖案
Core / Halo share the same weave function, differentiated by ratio (φ). Cobweb uses 3–4 point interlaced weaving. Ascend / Descend are fractal structures that double or halve node counts per layer. Moon is an open crescent arc pattern.
Core / Halo 使用相同編織函數，以比例 (φ) 區分視覺密度。Cobweb 採用 3–4 點交錯編織。Ascend / Descend 為碎形結構，每層節點數倍增或減半。Moon 為開放弧形月牙圖案。
Golden Ratio · 黃金比例
Default shrink ratio φ = 1.618 ensures natural geometric scaling across layers. Smaller values create denser patterns; larger values produce looser, airy structures.
預設縮小比例 φ = 1.618 確保各層之間自然的幾何縮放。較小的比例讓圖案更緊密；較大的值讓層次更寬鬆通透。
Thread Length · 線長估算
Enter the ring diameter and the tool calculates total thread path length — useful when buying materials. Formula: Σ∥P[i]–P[i-1]∥ × (R / r).
輸入外框直徑，即可自動計算編織所需線材總長度，方便備料採購。公式：Σ∥P[i]–P[i-1]∥ × (R / r)。
常見問題 · FAQ
捕夢網生成器是免費的嗎？Is the dreamcatcher generator free to use?
是的，生成和預覽完全免費，也可以免費下載 PNG/JPG 圖檔。購買 SVG 向量格式（適合雷射切割）需付 $3.99。Yes — generating, previewing, and downloading PNG/JPG images is completely free with no signup required. Downloading the SVG vector file (for laser cutting with Glowforge, Cricut, K40, etc.) costs $3.99 per design.
可以匯出哪些檔案格式？What file formats can I export?
免費：PNG（透明底或有底色）、JPG。付費 $3.99：SVG 向量格式，內含真實物理尺寸（mm 或英吋），可直接用於雷射切割機或 Cricut。Free: PNG (transparent or solid background) and JPG. Paid ($3.99): SVG vector file with physical dimensions embedded (mm or inches), ready for laser cutting machines, Cricut, Silhouette, or any vector design software like Inkscape or Illustrator.
SVG 的尺寸是真實大小嗎？Are the SVG files actual physical size?
是。設定外框直徑後（例如 15 公分），匯出的 SVG 的 width/height 屬性會設為對應的毫米（150mm），雷射切割軟體可直接識別，無需手動換算。Yes. When you set the ring diameter (e.g. 15 cm), the exported SVG sets its width and height in millimeters (150mm). Laser cutting software like LightBurn reads this directly — no manual scaling needed.
輸出的解析度如何決定？How is the output resolution determined?
PNG/JPG 使用 DPI 模式：96 dpi（螢幕）、150 dpi（列印）、300 dpi（高清/雷射）。選擇後結合你設定的外框尺寸自動計算輸出像素，例如 15cm × 150dpi ≈ 886×886px。PNG/JPG uses DPI-based resolution: 96 dpi (screen), 150 dpi (print), or 300 dpi (high-res / laser prep). The actual pixel dimensions are calculated from your ring size — e.g. a 15 cm ring at 150 dpi exports at approximately 886×886px.
有幾種圖案可以選擇？How many dreamcatcher patterns are available?
目前有 6 種幾何圖案：Core、Halo、Cobweb、Ascend、Descend、Moon，各有不同的數學結構。每種圖案都可調整節點數（N）、層數（L）、比例（φ）等參數，組合出幾乎無限種設計。There are 6 mathematical weave patterns: Core, Halo, Cobweb, Ascend, Descend, and Moon. Each pattern can be customised with node count (N), layer count (L), shrink ratio (φ), line widths, and colours — creating virtually unlimited unique designs.
下載的檔案可以商業使用嗎？Can I use the downloaded files commercially?
標準授權（$3.99）允許個人使用及製作後販售實體作品。若需要在 Etsy 等平台大量販售數位檔案，請聯繫取得商業授權（$49.99）：a0972210123@gmail.com The standard license ($3.99) covers personal use and selling physical items you make from the design. For selling the digital SVG files themselves (e.g. on Etsy or Gumroad), a commercial license ($49.99) is required — contact us at a0972210123@gmail.com.
支援掛墜羽毛綴飾嗎？Does it support pendant decorations with feathers and beads?
支援，這是付費功能（解鎖後可試用預覽）。掛墜系統支援羽毛長度、寬度、串珠數量、線繩顏色等完整設定，匯出的 SVG 也包含掛墜部分。Yes — pendant decorations with feathers and beads are available as a premium feature. Once unlocked, you can fully customise feather length, width, bead count, cord colour, and distribution. The exported SVG includes the full pendant system.
捕夢網的幾何原理是什麼？What is the geometry behind dreamcatcher patterns?
捕夢網的網格是透過在圓框上的等距節點間反覆連線形成的。每一層的連線跳過固定數量的節點，並以比例 φ 縮小半徑，形成螺旋幾何。不同圖案模式（如 Cobweb、Ascend）使用不同的連線算法，產生截然不同的視覺結構。Dreamcatcher web patterns are created by repeatedly connecting evenly-spaced anchor points on a circular ring. Each layer's connections skip a fixed number of nodes and shrink inward by a ratio φ, forming a spiral geometry. Different pattern modes (e.g. Cobweb, Ascend) use distinct connection algorithms, producing visually different structures from the same mathematical framework.