This category consists of the great rhombates and omnitruncates. Essentially, all the very truncated things with tetrahedron verfs. Since the verfs are are all tetrahedra, they don't have any regiment members. Well, except the two fissaries, but we'll get into that later. To be honest, i'm not sure what's going on with the names here, they were all named by my predecessors. I'm sure they make sense, and I dont change regiment colonel names anyway, so it'll be fiiiine.
These are the great rhombates, which have bilaterally symmetric tetrahedron verfs. Grich, cuteca, gaqrich, and caquiteca all have chonnic symmetry but are omnitruncates under octettic, dacta has chonnic symmetry without subsymmetry, and gratoh and gaqratoh just have octettic symmetry. Batch can also be treated as a grombate under octettic symmetry.
111. Grich - Great rhombated cubic honeycomb, also called cantitruncated cubic honeycomb. Cells are gircoes, cubes, and toes. Symbols are o4x3x4x and x3x4x *b3x.
112. Gratoh - Great rhombated tetrahedral-octahedral honeycomb. Cells are gircoes, tics, and tuts. Symbol is x3x4x *b3o.
113. Cuteca - Cubatitruncated cubatiapeiratic honeycomb. Cells are cotcoes, toes, and tosquats. Symbols are o4x3x4/3x4*b and x3x4x4x3*a4/3*c.
114. Dacta - Dicubatitruncated apeiratic honeycomb. Cells are satsas, tics, and quiths. Symbol is o3x4x∞x4/3*b.
115. Gaqrich - Great quasirhombated cubic honeycomb. Cells are quitcoes, cubes, and toes. Symbols are o4x3x4/3x and x3x4/3x *b3x.
116. Gaqratoh - Great quasirhombated tetrahedral-octahedral honeycomb. Cells are quitcoes, quiths, and tuts. Symbol is x3x4/3x *b3o.
117. Caquiteca - Cubatiquasitruncated cubatiapeiratic honeycomb. Cells are cotcoes, toes, and quitsquats. Symbols are o4x3x4x4/3*b and x3x4/3x4/3x3*a4*c. This one has a very very thin verf. Another most spikiest contender for sure.
These are the omnitruncates, which have irregular tetrahedron verfs. Well, actually, gippich, dacda, and quequapech have phyllic disphenoid vertex figures, due to having batchic symmetry rather than a normal undoubled symmetry. Cutpica, dactapa, gaquapech, and gacquitpica have chonnic symmetry, and cadca and dicroch have octettic symmetry. Batch can also be considered an omnitruncate under cyclotettic symmetry.
118. Gippich - Great prismated cubic honeycomb. Cells are gircoes and ops. Symbol is x4x3x4x. Eons ago, this was called otch, for omnitruncated cubic honeycomb.
119. Cutpica - Cubatitruncated prismatocubatiapeiratic honeycomb. Cells are cotcoes, gircoes, tosquats, and stops. Symbol is x4x3x4/3x4*b.
120. Dactapa - Dicubatitruncated prismatoapeiratic honeycomb. Cells are satsas, gircoes, quitcoes, and azips. Symbol is x3x4x∞x4/3*b.
121. Cadca - Cubatidicubatiapeiratic honeycomb. Cells are gircoes, quitcoes, toes, and qrasquits. Symbol is x3x3x4x4/3*a.
122. Dicroch - Dicubatirhombated cubatihexagonal honeycomb. Cells are cotcoes, gircoes, quitcoes, and hexats. Symbol is x3x3x4x4/3*a3*c.
123. Dacda - Dicubatidiapeiratic honeycomb. Cells are cotcoes and satsas. Symbol is x4x4/3x4x4/3*a3*c *b∞*d.
124. Gaquapech - Great quasiprismated cubic honeycomb. Cells are gircoes, quitcoes, ops, and stops. Symbol is x4x3x4/3x.
125. Quequapech - Quasiquasiprismated cubic honeycomb. Cells are quitcoes and stops. Symbol is x4/3x3x4/3x.
126. Gacquitpica - Great cubatiquasitruncated prismatocubatiapeiratic honeycomb. Cells are cotcoes, quitcoes, quitsquats, and ops. Symbol is x4/3x3x4x4/3*b.
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These two omnitruncates are fissary. This is due to a highly unexpected vertex overlap, sorta like the grombate polychora that shockingly end up overlapping into the sabbadipady regiment. These omnitruncates shockingly vertex overlap into the sabdiptica regiment, category 12. Thankfully they don't come out exotic, only vertex and edge fissary. Technically these could belong in category 12, but I'm putting them here in analogy to sitphi and gitphi still being allowed to sit with the bitruncates. These have chonnic symmetry.
F. Gactipeca - Great cubatitruncated prismatocubatiapeiratic honeycomb. Cells are cotcoes, quitcoes, qrasquits, and stops. Symbol is x4/3x3x4/3x4*b.
F. Caquitpica - Cubatiquasitruncated prismatocubatiapeiratic honeycomb. Cells are cotcoes, gircoes, qrasquits, and ops. Symbol is x4x3x4x4/3*b.
The following honeycombs are self conjugate: dacta, dactapa, cadca, dicroch, dacda, gaquapech.
The following form conjugate pairs: grich-gaqrich, gratoh-gaqratoh, cuteca-caquiteca, gippich-quequapech, cutpica-gacquitpica, gactipeca-caquitpica.
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