There are 12 triangular rectates, divided up into 4 regiments of 3. The regiments are based off of rih, rihexah, ritrah, and risquah. All are orientable, and the first two of each regiment is tame, the rest are wild.
This regiment has ikhonnic symmetry.
75. Rih - (RIH) rectified ikhon. It has does and ids for cells. Its verf is a very wide trip.
76. Frih - (FRIH) facetorectified ikhon. It has does and topepats for cells. Its verf is a very wide trigonal retroprism.
77. Peppinnih - (PEP in ih) pepat-intercepted ike. It has ids and topepats for cells. Its verf is a very wide inverted trip.
This regiment has hexahic symmetry.
78. Rihexah - (RI hex ah) rectified hexah. It has tets and thats for cells. Its verf is a very long trip.
79. Firhexah - (FRI hex ah) facetorectified hexah. It has tets and tazats for cells. Its verf is a very long trigonal retroprism.
80. Anhexah - (AN hex ah) azat-intercepted hexat. It has thats and tazats for cells. Its verf is a very long inverted trip.
This regiment has trahic symmetry.
81. Ritrah - (RIT tra) rectified trah. It has hexats and thats for cells. Its verf is an extremely wide trip.
82. Firtrah - (FRIT tra) facetorectified trah. It has hexats and thazats for cells. Its verf is an extremely wide trigonal retroprism.
83. Hantrah - (HAN tra) hazat-intercepted trat. It has thats and thazats for cells. Its verf is an extremely wide inverted trip.
This regiment has squahic symmetry.
84. Risquah - (RIS qua) rectified squah. It has cubes and squats for cells. Its verf is a big trip.
85. Firsquah - (FRIS qua) facetorectified squah. It has cubes and tosquazats for cells. Its verf is a big trigonal retroprism.
86. Sansquah - (SANS qua) {inf,4}intercepted {4,4}. It has squats and tosquazats for cells. Its verf is a big inverted trip.