Last Updated：2025/12/06

(geometry) The simplest non-convex polyhedron that cannot be triangulated into tetrahedra without adding new vertices.

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Schönhardt polyhedron

Source Word

Schönhardt polyhedron

(geometry) The simplest non-convex polyhedron that cannot be triangulated into tetrahedra without adding new vertices.

Japanese Meaning

幾何学における、頂点を新たに追加せずに四面体に分割（＝三角形分割）できない最も単純な非凸（凹型）多面体

During the seminar, she demonstrated how the Schönhardt polyhedron creates intrinsic barriers to tetrahedralization in computational geometry.

セミナーで彼女は、追加の頂点を加えない限り四面体に分割できない最も単純な非凸多面体が、計算幾何学における四面体化の障害となることを示した。

Sense（1）

(geometry) The simplest non-convex polyhedron that cannot be triangulated into tetrahedra without adding new vertices.

Schönhardt polyhedra

（ plural ）