1. Introduction -- 2. Mathematical Background and Notation -- 3. Subdivisions and Triangulations -- 4. Standard Simplex S and Matrix Operations -- 5. Subdivisions Q of $$ \mathbb{G}^n $$ -- 6. Freudenthal Triangulation F of $$ \mathbb{G}^n $$ , Part I -- 7. Sandwich Triangulation F/$$ \mathbb{G}^n-1 $$ x [0,1]) -- 8. Triangulation F/rS -- 9. Squeeze and Shear -- 10. Freudenthal Triangulation F of $$ \mathbb{G}^n $$, Part II -- 11. Triangulation F/Q? -- 12. Juxtapositioning with ? -- 13. Subdivision P of $$ \mathbb{G}^n $$ x (??,1] -- 14. Coning Transverse Affinely Disjoint Subdivisions -- 15. Triangulation V of V = cvx((S x 0) u ($$ \mathbb{G}^n $$x 1)) -- 16. Triangulation V[r,p] of S × [0,1] by Restricting, Squeezing, and Shearing V -- 17. Variable Rate Refining Triangulation S of $$ \mathbb{G}^n $$ x [0,+?] by Juxtapositioning V[r,p]'s -- 18. S+ an Augmentation of S -- 19. References.