Tetrahedral Families (4 papers)

Revised 6 September 2026. Research papers on special tetrahedral families, face constraints, and geometric projection properties. Only PDF files are downloadable.

Power-k Tetrahedra in the Context of Z-Cevians and Z-Pedals

Ismail Hammoudeh · Version 2.0.0 · 19 pages

A unified treatment of power-k tetrahedra, their Cevian and pedal centers, and the isodynamic and Eisenstein limits.

Face-Constrained Tetrahedra and Z-Cevians

Ismail Hammoudeh · Version 2.0.0 · 15 pages

Dimension bounds for symmetric homogeneous face constraints, including the all-isosceles jaws-and-tripods decomposition.

Tetrahedra with Orthogonal and Cevian Euler–Projection Properties

Ismail Hammoudeh · Version 2.0.0 · 18 pages

A classification of tetrahedra whose tetrahedral Euler object projects into the corresponding Euler object of every triangular face.

Skeletal-Centroid Projection in Tetrahedra

Ismail Hammoudeh · Version 2.0.0 · 15 pages

The companion classification for the one-skeleton centroid and hollow-face centroid, with circumscriptible and jaw branches.