polyhedron op• 데이터 종류: 없음 → mesh(인자만으로 정해지는 연산자 —— 이미지나 데이터 입력을 받지 않습니다)
• 호출: import fullseye as fs; fs.ledger.geodesic_dome(frequency=3, radius=1.0, hemisphere=False)(구현을 직접 호출하려면 import render3d; render3d.geodesic_dome(frequency=3, radius=1.0, hemisphere=False), 원장에서 가져오려면 ops3d.get("geodesic_dome"))
정이십면체를 세분한 측지구 —— 모양을 정하는 것은 오일러 공식이다.
> 아래 상세 설명은 원문입니다 —— 요약과 제목은 번역되어 있습니다.
Each icosahedron face is cut into `frequency**2` triangles and every vertex
is pushed out to the sphere. The counts are then forced, not chosen:
`F = 20*f**2, E = 30*f**2, V = 10*f**2 + 2`, and Euler's formula
`V - E + F == 2` holds exactly.
★Why this earns its place: Euler also forces the *irregularity*. If every
vertex had degree 6 then `2E = 6V, which contradicts V - E + F = 2`;
counting degrees gives `sum(6 - deg(v)) == 12` over all vertices, so a
triangulated sphere built from hexagons must contain exactly twelve
pentagons — no more, no fewer, at any frequency. That is why a football has
twelve black patches, and it is an integer this operator must reproduce
exactly. Nothing about the drawing can be "close enough".
Returns a `mesh (V, F): V is (n, 3) float, F is (m, 3)`
int. With `hemisphere=True the vertices below z = 0` and the faces
touching them are dropped (then Euler no longer gives 2, and the
twelve-pentagon count applies to the full sphere only — said here rather
than letting the gate quietly change meaning).
Raises `ValueError: frequency < 1; radius <= 0`; the mesh would
exceed the cap.
HALCON: no operator (`gen_sphere_object_model_3d` makes a UV sphere, whose
poles are degenerate — a different object).
• 샘플 데이터 카탈로그(DL URL / 라이선스) —— 2-D 는 skimage.data(BSD/public)+ 합성, 3-D 는 실데이터 소스(Stanford/PDS 등)의 DL URL.
• 연산자의 내력·참고문헌 —— 이 연산자 족의 바탕이 된 연구/기법의 출처.
• geodesic_dome — py -3.11 examples_3d/geodesic_dome.py
mesh 를 입력으로 받는 것)mesh_to_voxel · mesh_to_points · to_points · fuse_to_voxel · ambient_occlusion · cast_shadow · supersample_mesh · render_beauty
polyhedron)—
*Provenance: render3d.py — 3D 연산자 레지스트리. 이 op 노트는 tools/opdocs.py md 가 자동 생성합니다(직접 편집하지 마세요).*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.