These are the honeycombs with triangular podia or antipodia as their vertex figures, and their regiments.
These are the members of the chon (cubic honeycomb) regiment that have x4o3o4x symmetry or doubled x4o3o4x symmetry. Their vertex figures are facetings of an oct with triangular antiprismatic or pyramidal symmetry.
137. Dacha - Dicubatihemiapeiratic honeycomb. Cells are cubes (in the polar positions) and shas. Verf is a triangular bowtie prism. Symbol is o3o4x~x4/3*b. This has doubled x4o3o4x symmetry.
138. Dapha - Disprismatohemiapeiratic honeycomb. Cells are cubes (in the equatorial positions) and shas. Verf is an inverted triangular antiprism. This has doubled x4o3o4x symmetry.
139. Napca - Spinoprismatocubatiapeiratic honeycomb. Cells are cubes (one of two sets of both equatorial and polar positions) and shas. Verf is a spiky faceting of an oct. This has x4o3o4x symmetry.
These honeycombs have o3o3o3o3*a symmetry or doubled o3o3o3o3*a symmetry. Their vertex figures are facetings of a triangular antiprism.
140. Batatoh - Cyclotruncated tetrahedral-octahedral honeycomb, also called quarter cubic honeycomb or bitruncated tetrahedral-octahedral honeycomb (even though it isn't a bitruncated tetrahedral-octahedral honeycomb). Cells are tets and tuts. Symbol is o3o3x3x3*a. Batatoh has doubled o3o3o3o3*a symmetry.
141. Datha - Ditetrahemiapeiratic honeycomb. Cells are tets and thas. Symbol is o3o3x~x3/2*b. Datha has doubled o3o3o3o3*a symmetry.
142. Idatha - Inverted ditetrahemiapeiratic honeycomb. Cells are tuts and thas. Idatha has doubled o3o3o3o3*a symmetry.
143. Tota - Tetratetraapeiratic honeycomb. Cells are tets, tuts, and thats. Tota has o3o3o3o3*a symmetry.
144. Nateta - Spinotetratetraapeiratic honeycomb. Cells are tets, tuts, and hohas. Nateta has o3o3o3o3*a symmetry.
These honeycombs have o3o4o *b3o symmetry. Their vertex figures are facetings of a triangular antipodium.
145. Getdoca - Great tetradicubatiapeiratic honeycomb. Cells are tets, cubes, quiths, and quitsquats. Symbol is x3o3o4x4/3*a.
146. Qratoh (also called qrahch) - Quasirhombated tetrahedral-octahedral honeycomb, also called quasirhombi-tetrahedral-octahedral honeycomb or quasirhombated demicubic honeycomb. Cells are tets, cubes, and quercoes. Symbol is x3o4/3x *b3o.
147. Dacca - Dicubatiapeiratic honeycomb. Cells are quiths, quitsquats, and quercoes.
148. Gacoftaca - Great cubatifaceted tetracubatiapeiratic honeycomb. Cells are tets, quitsquats, and goccoes.
149. Gotafcadoch - Great tetrafaceted cubatidicubatic honeycomb. Cells are cubes, quiths, and goccoes.
150. Gantadoch - Great spinotetradicubatic honeycomb. Cells are tets, quiths, and grohs.
151. Gandoca - Great spinodicubatiapeiratic honeycomb. Cells are cubes, quitsquats, and grohs.
These honeycombs have o3o4o *b3o symmetry. Their vertex figures are facetings of a triangular podium.
152. Sratoh (also called ratoh) - Small rhombated tetrahedral-octahedral honeycomb, also called small rhombi-tetrahedral-octahedral honeycomb. Cells are tets, cubes, and sircoes. Symbol is x3o4x *b3o.
153. Stedoca - Small tetradicubatiapeiratic honeycomb. Cells are tets, cubes, tics, and tosquats. Symbol is o3o3x4x4/3*a.
154. Canach - Cubatiapeirointercepted cubatic honeycomb. Cells are tics, tosquats, and sircoes.
155. Scoftaca - Small cubatifaceted tetracubatiapeiratic honeycomb. Cells are tets, tosquats, and soccoes.
156. Stafcadoch - Small tetrafaceted cubatidicubatic honeycomb. Cells are cubes, tics, and soccoes.
157. Santadoch - Small spinotetradicubatic honeycomb. Cells are tets, tics, and srohs.
158. Sandoca - Small spinodicubatiapeiratic honeycomb. Cells are cubes, tosquats, and srohs.
The following honeycombs are self conjugate: dacha, dapha, napca, batatoh, dapha, idatha, tota, and nateta.
The following form conjugate pairs: getdoca - stedoca, qratoh - sratoh, dacca - canach, gacoftaca - scoftaca, gotafcadoch - stafcadoch, gantadoch - santadoch, gandoca - sandoca.