Category 9: Podiumverts


The 5-D podiumverts have either a tetrahedral podium or antipodium verf (plus their facetings). There are 41 polytera in three regiments: scad (11 members), scant (15 members), and ginnont (15 members). The last two are conjugate regiments. Scad and scant are convex. The symbols are - scad (xooox), scant (xooo'x), and ginnont (ooG).
Gabin

Scad Regiment

Scad Regiment Verfs

Scad is the small cellated dodecateron, which is the 5-D version of spid, its members either have hixic (dacox, bacox, nacox, and dabcax) or dottic (others) symmetry with 30 vertices. Its verf is a tetrahedral antipodium. Scad, dehad, and dachid are orientable, the others are not. The tame ones are scad, dibhid, chad, and dehad - the others are wild. Above are the verfs as a series of cross sections.

682. Scad - (SKAD) small cellated dodecateron. The symbol is xooox. It has 12 pens, 30 tepes, and 20 triddips. This is the 5-D version of co and spid.

683. Dibhid - (DIV vid) dodecabiprismatohemidodecateron. It has 12 pens, 20 triddips, and 6 spids.

684. Chad - (CHAD) cellated hemidodecateron. It has 30 tepes and 6 spids.

685. Dacox - (DAY cox) dodecacellihexateron. It has 12 pens, 15 tepes, and 6 piphids.

686. Bacox - (BAY cox) biprismatocellihexateron. It has 15 tepes, 20 triddips, and 6 piphids.

687. Dehad - (DEE had) dodecahemidodecateron. It has 12 pens and 6 duhds. This is the 5-D version of oho and duhd. Its symbol is (xx,o)oo.

688. Bachid - (BATCH id) biprismatocellihemidodecateron. It has 30 tepes, 20 triddips, and 6 duhds.

689. Behad - (BEE had) biprismatohemidodecateron. It has 20 triddips and 6 phuds.

690. Dachid - (DATCH id) dodecacellihemidodecateron. It has 12 pens, 30 tepes, and 6 phuds.

691. Nacox - (NAY cox) spinocellihexateron. It has 15 tepes and 6 nipdips.

692. Dabcax - (DAB cax) dodecabiprismatocellihexateron. It has 12 pens, 15 tepes, 20 triddips, and 6 nipdips.

Below are fields of 3-D poke-sections of each member of the scad regiment.

Scad Sections


Scant Regiment

Scant Regiment Verfs

Scant is the 5-D version of sirco and sidpith. All of these have 160 vertices and have pentic symmetry. Scant, satbadan, scotan, and sinnont are tame, others are wild. Orientable ones are scant, sinnont, and stacdan. Verfs are above in sections.

693. Scant - (SCANT) small cellated penteracti32teron. Its symbol is xooo'x. It has 10+40 tesses, 32 pens, 80 tepes, and 80 tisdips. This is the 5-D version of sirco and sidpith.

694. Satbadan - (SAT ba dan) small 32biprismatodispenteract. It has 10 tesses, 32 pens, 80 tisdips, and 10 sidpiths.

695. Scotan - (SKO tan) small cellitesseractipenteract. It has 40 tesses, 80 tepes, and 10 sidpiths.

696. Sactadan - (SAC ta dan) small celli32dispenteract. It has 10+40 tesses, 32 pens, and 10 stefacoths.

697. Scadant - (ska DANT) small cellidispenteracti32teron. It has 10 tesses, 32 pens, 80 tepes, and 10 shafiptoes.

698. Sobcan - (SOB can) small biprismatocellipenteract. It has 80 tepes, 80 tisdips, and 10 stefacoths.

699. Scabbin - (SKAB bin) small cellibiprismatopenteract. It has 40 tesses, 80 tisdips, and 10 shafiptoes.

700. Sinnont - (sin NONT) small penteractipenteracti32teron. It has 10 tesses, 32 pens, and 10 steths. This is the 5-D version of socco and steth. Its symbol is (x'x"o)oo.

701. Sabdacan - (SAB da can) small biprismatodiscellipenteract. It has 40 tesses, 80 tepes, 80 tisdips, and 10 steths.

702. Sobin - (SO bin) small biprismatopenteract. It has 80 tisdips and 10 dippits.

703. Stacdan - (STAK dan) small 32cellidispenteract. It has 10+40 tesses, 32 pens, 80 tepes, and 10 dippits.

704. Scan - (SKAN) small cellipenteract. It has 80 tepes and 10 snappoths.

705. Stan - (STAN) small tesseractipenteract. It has 40 tesses and 10 sniptoes.

706. Scabtadin - (SKAB ta din) small cellibiprismato32dispenteract. It has 10+40 tesses, 32 pens, 80 tisdips, and 10 snappoths.

707. Sacbadant - (SAC ba dant) small cellibiprismatodispenteracti32teron. It has 10 tesses, 32 pens, 80 tepes, 80 tisdips, and 10 sniptoes.

Below are fields of 3-D poke-section of each member of the scant regiment.

Scant Regiment

Scant Regiment


Ginnont Regiment

Ginnont Regiment Verfs

Ginnont is the 5-D version of gocco and gittith, these polytera all have 160 vertices and have pentic symmetry. Ginnont, quacant, gatbadan, and goctan are tame, others are wild. Orientable ones are ginnont, quacant, and gatcodan. The verfs are above.

708. Ginnont - (gin NONT) great penteractipenteracti32teron. Its symbol is ooG = oo(o'x"x). It has 10 gittiths, 10 tesses, and 32 pens. This is the 5-D version of gocco and gittith.

709. Quacant - (KWAY kant) quasicellated penteracti32teron. Its symbol is xooo"x. It has 10+40 tesses, 32 pens, 80 tepes, and 80 tisdips. It is the 5-D version of querco and quidpith.

710. Gabdacan - (GAB da can) great biprismatodiscellipenteract. It has 10 gittiths, 40 tesses, 80 tepes, and 80 tisdips.

711. Gatbadan - (GAT ba dan) great 32biprismatodispenteract. It has 10 quidpiths, 10 tesses, 32 pens, and 80 tisdips.

712. Goctan - (GOK tan) great cellitesseractipenteract. It has 10 quidpiths, 40 tesses, and 80 tepes.

713. Gabin - (GA bin) great biprismatopenteract. It has 10 picnuts and 80 tisdips.

714. Gatcodan - (GAT co dan) great 32cellidispenteract. It has 10 picnuts, 10+40 tesses, 32 pens, and 80 tepes.

715. Gactadan - (GAC ta dan) great celli32dispenteract. It has 10 gittifcoths, 10+40 tesses, and 32 pens.

716. Gocadent - (GO ka dent) great cellidispenteracti32teron. It has 10 gahfiptoes, 10 tesses, 32 pens, and 80 tepes.

717. Gobcan - (GOB kan) great biprismatocellipenteract. It has 10 gittifcoths, 80 tepes, and 80 tisdips.

718. Gecabin - (GEK a bin) great cellibiprismatopenteract. It has 10 gahfiptoes, 40 tesses, and 80 tisdips.

719. Gocan - (GO kan) great cellipenteract. It has 10 gnappoths and 80 tepes.

720. Gotan - (GO tan) great tesseractipenteract. It has 10 gniptoes and 40 tesses.

721. Gicabtadin - (gic CAB ta din) great cellibiprismato32dispenteract. It has 10 gnappoths, 10+40 tesses, 32 pens, and 80 tisdips.

722. Gacbadant - (GAC ba dant) great cellibiprismatodispenteracti32teron. It has 10 gniptoes, 10 tesses, 32 pens, 80 tepes, and 80 tisdips.

Below are fields of 3-D poke-section of each member of the ginnont regiment, next comes a set of zoomed in sections of each member to see the details.

Ginnont Regiment

Ginnont Regiment

Ginnont Fusion


Conjugates

Below shows how the rectates pair up as conjugates.

Conjugates

The following are self conjugates: members of scad regiment.

The following are conjugate pairs: scant-quacant, satbadan-gatbadan, scotan-goctan, sactadan-gactadan, scadant-gocadent, sobcan-gobcan, scabbin-gecabin, sinnont-ginnont, sabdacan-gabdacan, sobin-gabin, stacdan-gatcodan, scan-gocan, stan-gotan, scabtadin-gicabtadin, and sacbadant-gacbadant.

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