These are the prismatorhombates (runcicantellates) and others with similar vertex figures, and their regiments. Their vertex figures are trapezoid pyramids. There are nine regiments of three.
110. Prich - Prismatorhombated cubic honeycomb, also called runcitruncated cubic honeycomb (or runcicantellated cubic honeycomb). Cells are sircoes, tics, cubes, and ops. Symbol is x4o3x4x.
111. Sepdica (also called spedica) - Small prismatodicubatiapeiratic honeycomb. Cells are soccoes, tics, cubes, and tosquats. Symbol is x4x3o4/3x4*b.
112. Sirpaca - Small rhombiprismatocubatiapeiratic honeycomb. Cells are srohs, ops, and tosquats.
113. Quiprich - Quasiprismatorhombated cubic honeycomb. Cells are sircoes, quiths, cubes, and stops. Symbol is x4o3x4/3x.
114. Mipdica - Medial prismatodicubatiapeiratic honeycomb. Cells are soccoes, quiths, cubes, and qrasquits. Symbol is x4/3x3o4/3x4*b.
115. Mirpaca - Medial rhombiprismatocubatiapeiratic honeycomb. Cells are srohs, stops, and qrasquits.
116. Gepdica - Great prismatodicubatiapeiratic honeycomb. Cells are goccoes, tics, cubes, and qrasquits. Symbol is x4x3o4x4/3*b.
117. Paqrich - Prismatoquasirhombated cubic honeycomb. Cells are quercoes, tics, cubes, and ops. Symbol is x4x3o4/3x.
118. Girpaca - Great rhombiprismatocubatiapeiratic honeycomb. Cells are grohs, ops, and qrasquits.
119. Gapdica - Grand prismatodicubatiapeiratic honeycomb. Cells are goccoes, quiths, cubes, and quitsquats. Symbol is x4/3x3o4x4/3*b.
120. Quipqrich - Quasiprismatoquasirhombated cubic honeycomb. Cells are quercoes, quiths, cubes, and stops. Symbol is x4/3o3x4/3x.
121. Garpaca - Grand rhombiprismatocubatiapeiratic honeycomb. Cells are grohs, stops, and quitsquats.
122. Sacpaca - Small cubatiprismatocubatiapeiratic honeycomb. Cells are sossas, toes, azips, and quitcoes. Symbol is x3x4o~x4/3*b.
123. Gacpaca - Great cubatiprismatocubatiapeiratic honeycomb. Cells are gossas, toes, azips, and gircoes. Symbol is x3x4x~o4/3*b.
124. Radich - Rhombic apeirodicubatic honeycomb. Cells are sosts, quitcoes, and gircoes.
125. Dicach - Dicubatiapeirocubatic honeycomb. Cells are thats, tics, quiths, and cotcoes. Symbol is x3o3x4/3x4*a3*c.
126. Cadich - Cubatiapeirodicubatic honeycomb. Cells are thas, tics, quiths, and satsas. Symbol is x3o3/2x4/3x4*a~*c.
127. Racda - Rhombic cubatidiapeiratic honeycomb. Cells are hohas, cotcoes, and satsas.
128. Tica - Tricubatiapeiratic honeycomb. Cells are coes, tics, quiths, and qrasquits. Symbol is x3o3x4x4/3*a.
129. Dacdich - Dicubatidicubatic honeycomb. Cells are ohoes, tics, quiths, and cotcoes. Symbol is x3o3/2x4/3x4*a3*c.
130. Rocaca - Rhombic cubaticubatiapeiratic honeycomb. Cells are choes, qrasquits, and cotcoes.
131. Setcach - Small tetracubatiapeirocubatic honeycomb. Cells are sircoes, tuts, quitsquats, and quitcoes. Symbol is x3x3o4x4/3*a.
132. Sadcata - Small dicubatitetraapeiratic honeycomb. Cells are soccoes, tuts, quitsquats, and cotcoes. Symbol is x3o4/3x4/3x3*a4*c.
133. Sartich - Small rhombic tricubatic honeycomb. Cells are srohs, quitcoes, and cotcoes.
134. Gadcata - Great dicubatitetraapeiratic honeycomb. Cells are goccoes, tuts, tosquats, and cotcoes. Symbol is x3o4x4x3*a4/3*c.
135. Getcach - Great tetracubatiapeirocubatic honeycomb. Cells are quercoes, tuts, tosquats, and gircoes. Symbol is o3x3x4x4/3*a.
136. Gartich - Great rhombic tricubatic honeycomb. Cells are grohs, cotcoes, and gircoes.
The following honeycombs are self conjugate: radich, dicach, cadich, racda, tica, dacdich, and rocaca.
The following form conjugate pairs: prich - quipqrich, sepdica - gapdica, sirpaca - garpaca, quiprich - paqrich, mipdica - gepdica, mirpaca - girpaca, sacpaca - gacpaca, setcach - getcach, sadcata - gadcata, sartich - gartich.
The following form quasi-conjugate pairs (one set of octagons - octagrams gets swapped, but not the other): prich - quiprich, prich - paqrich, sepdica - mipdica, sepdica - gepdica, sirpaca - mirpaca, sirpaca - girpaca, quiprich - quipqrich, mipdica - gapdica, mirpaca - garpaca, gepdica - gapdica, paqrich - quipqrich, girpaca - garpaca.