The sphenoverts are the honeycombs with wedge vertex figures. There are 3 regiments here, with 7 members each. Srich is convex, wavicoca is very very starry, and wavicac is only mildly starry. Srich and wavicoca have subsymmetry as a skewvert, which will be exploited in the skewverts category, and wavicac has subsymmetry as an ""isosceles triangle podiumvert"", which will be exploited in their nonwythoffian category.
90. Srich - Small rhombated cubic honeycomb, also called cantellated cubic honeycomb. Cells are sircoes, cubes, and coes. Symbol is o4x3o4x or x3o4x *b3x.
91. Rawvicoca - Retrosphenoverted cubaticubatiapeiratic honeycomb. Cells are soccoes, coes, and tosquats. Symbol is o4x3o4/3x4*b or o3x4x4x3*a4/3*c.
92. Sirca - Small rhombic cubatiapeiratic honeycomb. Cells are srohs, cubes, and tosquats.
93. Spiraca - Small pseudorhombic cubatiapeiratic honeycomb. Cells are cubes, tosquats, and gircoes.
94. Gardoch - Grand rhombic dicubatic honeycomb. Cells are srohs and gircoes.
95. Candoch - Cubatiapeirointercepted dicubatic honeycomb. Cells are sircoes, coes, tosquats, and gircoes.
96. Canpadoch - Cubatiintercepted prismatodicubatic honeycomb. Cells are soccoes, coes, cubes, and gircoes.
Wavicoca is extremely, extremely spiky. Things like querch and gaqradoch are very good candidates for the most spikiest award. This is extremely evident in how extraordinarily thin the wedge vertex figure is. Look at him. He is so thin. I am worried about his health.
97. Wavicoca - Sphenoverted cubaticubatiapeiratic honeycomb. Cells are goccoes, coes, and quitsquats. Symbol is o4x3o4x4/3*b or o3x4/3x4/3x3*a4*c.
98. Querch - Quasirhombated cubic honeycomb. Cells are quercoes, cubes, and coes. Symbol is o4x3o4/3x or x3o4/3x *b3x.
99. Girca - Great rhombic cubatiapeiratic honeycomb. Cells are grohs, cubes, and quitsquats.
100. Gipraca - Great pseudorhombic cubatiapeiratic honeycomb. Cells are cubes, quitsquats, and quitcoes.
101. Gaqradoch - Grand quasirhombic dicubatic honeycomb. Cells are grohs and quitcoes.
102. Pacnadoch - Prismatocubatiintercepted dicubatic honeycomb. Cells are goccoes, coes, cubes, and quitcoes.
103. Candaca - Cubatiintercepted dicubatiapeiratic honeycomb. Cells are quercoes, coes, quitsquats, and quitcoes.
104. Wavicac - Sphenoverted cubatiapeiraticubatic honeycomb. Cells are sossas, quiths, and coes. Symbol is o3x4o∞x4/3*b.
105. Rawvicac - Retrosphenoverted cubatiapeiraticubatic honeycomb. Cells are gossas, tics, and coes. Symbol is o3x4x∞o4/3*b.
106. Adach - Apeiratidicubatic honeycomb. Cells are sosts, quiths, and tics.
107. Ratich - Retrotricubatic honeycomb. Cells are quiths, tics, and cotcoes.
108. Gaca - Grand cubatiapeiratic honeycomb. Cells are sosts and cotcoes. The "grand" here doesn't mean anything and is just a bonus word so that things don't get named the same. Previously garca.
109. Dacanca - Dicubatiintercepted cubatiapeiratic honeycomb. Cells are sossas, tics, coes, and cotcoes.
110. Cancach - Cubatiintercepted cubatiapeiraticubatic honeycomb. Cells are gossas, quiths, coes, and cotcoes. In a past life, this was called cancoch.
The following honeycombs are self conjugate: adach, ratich, garca
The following form conjugate pairs: srich-querch, rawvicoca-wavicoca, sirca-girca, spiraca-gipraca, gardoch-gaqradoch, candoch-candaca, canpadoch-pacnadoch, wavicac-rawvicac, dacanca-cancach
Category 3 --- Back to Honeycombs Home --- Category 5
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