Category 13: Spic and Giddic Regiments

The spic and giddic regiments (which we can call the "squapverts") have vertex figures shaped like square antiprisms and their facetings. There are 20 polychora in each regiment giving this category 40 members, there are also two fissaries in each regiment. All members have either icoic or contic symmetry. Each of these have 144 vertices and 576 edges.

Spic Regiment

This regiment can contain any of the following cells: 2 groups of 24 octs, 2 groups of 24 tics, 2 groups of 24 sircoes (and regiment), and 2 groups of 96 trips. Spic is convex and has the following symbol: xo'ox. The first 8 have contic symmetry, others have icoic. Tame ones are spic, siddic, sirc, ipi, and ridi. Feral ones are sripic and sarnipadi, all others are wild.

Spic Fusion

Above are slices of the spic regiment troops in same order as mentioned in the text below.

Verfs of Contic Spic Troops

Contic - all of these are orientable except for sirc - all of the piece counts and LOCs are accurate.

512. Spic - (SPIK) small prismated 48. Its cells are 48 octs and 192 trips. It's verf is a square antiprism. It has 240 pieces with two types, LOC = 4.

513. Siddic - (SID dik) small dis48. Its cells are 48 octs and 48 tics. It's verf is a 4/3 antiprism. It has 9072 pieces in 9 types, LOC = 137. Siddic's symbol is (xo"ox').

514. Sripic - (SRI pik) small retroinverted prismato48. Its cells are 48 tics and 192 trips. Its verf is an inverted square antiprism. It has 576 pieces in two types, LOC = 7. It has pseudo-octs.

515. Smiffadic - (smif ADE ik) small circumfacetodis48. Its cells are 48 octs and 48 sircoes. Its verf is a square antiprism with the triangles buckled in. It has 1008 pieces in three types, LOC = 14. It has pseudo-trips.

516. Offadac - (off FAD ak) omnifacetodis48. It has 48 tics and 48 sircoes - it also has pseudo-trips and pseudo-2thahs. Its verf is an omnifaceted square antiprism. It has 2496 pieces with four types, LOC = 29.

517. Sandic - (SAN dik) small intercepted dis48. It has 48 octs and 48 soccoes. Its verf has a spindle shape. It has 1968 pieces with four types, LOC = 38.

518. Lifpic - (LIF pik) polar facetoprismato48. The cells are 48 soccoes and 192 trips, it also has pseudo-2thahs. Its verf is a squap with the squares turned into "windows". It has 1728 pieces in three types, LOC = 19.

519. Sirc - (SURK) small retro48. It has 48 srohs and is noble. Its verf is a stephanoid. It has 2736 pieces in five types, LOC = 40. This one has holes.

Verfs of Icoic Spic Troops Verfs of Icoic Spic Troops

Icoic - all of these are non-orientable except for inpac, irnic, and dinpi. The piece counts and LOCs are accurate here except for non-orientables with socco in them.

520. Ipi - (IPE e) inverted prismato24. The cells are 24 sircoes and 96 trips. Its verf is a 2-wedge blend. It has 600 pieces with four types, LOC = 19.

521. Inpac - (IN pak) 24intercepted prismato48. Its cells are 48 octs, 24 sircoes, and 96 trips. Its verf is a squap with half of the triangles buckled. It has 624 pieces with five types, LOC = 23.

522. Picni - (PIK nee) prismato48intercepted 24. Its cells are 48 tics, 24 sircoes, and 96 trips. Its verf is a squap with a square and half the triangles buckled and the other square turning into a window. It has 1848 pieces in eight types, LOC = 51.

523. Ridi - (RI dee) retroinverted dis24. Its cells are 24 tics and 24 soccoes. Its verf is a 2-retrowedge blend. It has 4056 pieces with ten types, LOC = 123.

524. Irnic - (IR nik) 24retrointercepted 24-48. Its cells are 48 octs, 24 tics, and 24 soccoes. Its verf has a nice spindle shape. It has 4368 pieces with 12 types, LOC = 138.

525. Dipdi - (DIP dee) disprismatodis24. Its cells are 24 soccoes, 24 tics, and 192 trips. Its verf is a squap with one square deeply inverted and the other windowed. It has 1464 pieces with seven types, LOC = 41.

526. Sarnipadi - (sar NIP a dee) small retrospinoprismatodis24. Its cells are 24 tics, 24 srohs, and 96 trips. Its verf is an intricate four pointed crown. It has 5832 pieces in 14 types, LOC = 187.

527. Dirpidic - (dir PI dik) diretroprismatodis24-48. Its cells are 48 octs, 24 tics, 24 srohs, and 96 trips. Its verf is a squap with half the triangles opened to reveal butterfly shapes. It has 5328 pieces in 14 types, LOC = 184.

528. Pifficdi - (pif FIK dee) prismatofaceted 48dis24. Its cells are 48 octs, 24 tics, 24 srohs, and 96 trips (has the other set of srohs and trips compared to dirpidic). Its verf is a squap with half the triangles double buckled. It has 1200 pieces with six types, LOC = 30.

529. Dinpi - (DIN pee) dis24intercepted prismato24. Its cells are 24 tics, 24 soccoes, 24 sircoes, and 96 trips. Its verf is a squap with windowed squares and half the triangles buckled. It has 2400 pieces with eight types, LOC = 60.

530. Dinic - (DI nik) dis24intercepted 24-48. Its cells are 48 octs, 24 tics, 24 sircoes, and 24 srohs. Its verf is a squap with the triangles buckled. It has 1008 pieces in six types, LOC = 28.

531. Inpic - (IN pik) 24intercepted prismato24-48. Its cells are 48 octs, 24 srohs, 24 soccoes, and 96 trips. Its verf is a squap with half the triangles buckled. It has 624 pieces in five types, LOC = 18.

Verfs of Fissary Spic Troops

Fissary - both are non-orientable.

F3. Dupapdi - (doo PAP dee) dipesic prismatodis24. Its cells are 24 srohs, 24 soccoes, and 96 trips. Its verf is a hole filled squap faceting which looks a bit like a lampshade.

F4. Nadupti - (nuh DOOP tee) intercepted dipesic tris24. Its cells are 24 sircoes, 24 srohs, 24 tics. Its verf is a blend of two inverted wedges.

Giddic Regiment

This regiment can contain any of the following cells: 2 groups of 24 octs, 2 groups of 24 quiths, 2 groups of 24 goccoes (and regiment), and 2 groups of 96 trips. Giddic has the following symbol: (ox"xo'). The first 8 have contic symmetry, others have icoic. Their verfs are squashed versions of the previous regiment. Tame ones are giddic, quippic, girc, idi, and ripi. Feral ones are gripic and garnipadi, all others are wild.

Giddic Fusion

Above are slices of the giddic regiment troops in same order as mentioned in the text below.

Verfs of Contic Giddic Troops

Contic - all are orientable except for girc. Piece counts and LOCs for those containing querco as well as girc may be inaccurate.

532. Giddic - (GID dik) great dis48. Its cells are 48 octs and 48 quiths. It's verf is a square antiprism. It has 720 pieces with three types, LOC = 23.

533. Quippic - (KWIP pik) quasiprismated 48. Its cells are 48 octs and 192 trips. It's verf is a 4/3 antiprism. It has 154,560 pieces in 84 types, LOC = 2686 making it the grand champion of this category. It's symbol is xo"ox.

534. Gripic - (GRI pik) great retroinverted prismato48. Its cells are 48 quiths and 192 trips. Its verf is an inverted square antiprism. It has 1584 pieces in three types, LOC = 35. It has pseudo-octs.

535. Gamfaddic - (gam FAD ik) great circumfacetodis48. Its cells are 48 octs and 48 goccoes. Its verf is a square antiprism with the triangles buckled in. It has 10848 pieces in 11 types, LOC = 166. It has pseudo-quiths.

536. Ofpic - (OFF pik) omnifacetoprismato48. It has 48 goccoes and 192 trips - it also has pseudo-quiths and pseudo-2thahs. Its verf is an omnifaceted square antiprism. It has 14016 pieces with 12 types, LOC = 200.

537. Gandic - (GAN dik) great intercepted dis48. It has 48 octs and 48 quercoes. Its verf has a spindle shape. It has 20640 pieces with 17 types, LOC = 474.

538. Lifdic - (LIF dik) polar facetodis48. The cells are 48 quiths and 48 quercoes, it also has pseudo-2thahs. Its verf is a squap with the squares turned into "windows". It has 3312 pieces in four types, LOC = 73.

539. Girc - (GURK) great retro48. It has 48 grohs and is noble. Its verf is a stephanoid. It has 16512 pieces in 15 types, LOC = 325. This one has holes.

Verfs of Icoic Giddic Troops Verfs of Icoic Giddic Troops

Icoic all are non-orientable except for inic, irnpac, and ipindi. Inic may be the only one here with an accurate piece count due to the neo-filling.

540. Idi - (I dee) inverted dis24. The cells are 24 quiths and 24 goccoes. Its verf is a 2-wedge blend. It has 2520 pieces with 7 types, LOC = 115.

541. Inic - (INE ik) 24intercepted 24-48. Its cells are 48 octs, 24 quiths, and 24 goccoes. Its verf is a squap with half of the triangles buckled. It has 8088 pieces with 17 types, LOC = 321.

542. Dapindi - (da PIN dee) disprismatointercepted dis24. Its cells are 24 quiths, 24 goccoes, and 192 trips. Its verf is a squap with a square and half the triangles buckled and the other square turning into a window. It has 11256 pieces in 20 types, LOC = 383.

543. Ripi - (RIPE e) retroinverted prismato24. Its cells are 24 quercoes and 96 trips. Its verf is a 2-retrowedge blend. It has 31920 pieces with 39 types, LOC = 1247.

544. Irnpac - (IRN pak) 24retrointercepted prismato48. Its cells are 48 octs, 24 quercoes, and 96 trips. Its verf has a nice spindle shape. It has 34032 pieces with 49 types, LOC = 1230.

545. Pic - (PIK) prismato24-48. Its cells are 48 quiths, 24 quercoes, 96 trips. Its verf is a squap with one square deeply inverted and the other windowed. It has 3168 pieces with nine types, LOC = 152.

546. Garnipadi - (gar NIP a dee) great retrospinoprismatodis24. Its cells are 24 quiths, 24 grohs, and 96 trips. Its verf is an intricate four pointed crown. It has 10440 pieces in 17 types, LOC = 391.

547. Dirpicdi - (dir PIK dee) diretroprismato48dis24. Its cells are 48 octs, 24 quiths, 24 grohs, and 96 trips. Its verf is a squap with half the triangles opened to reveal butterfly shapes. It has 9960 pieces in 20 types, LOC = 347.

548. Ifpic - (IF pik) 24faceted prismato24-48. Its cells are 48 octs, 24 quiths, 24 grohs, and 96 trips (has the other set of grohs and trips compared to dirpidic). Its verf is a squap with half the triangles double buckled. It has 20616 pieces with 35 types, LOC = 773.

549. Ipindi - (i PIN dee) 24prismatointercepted dis24. Its cells are 24 quiths, 24 goccoes, 24 quercoes, and 96 trips. Its verf is a squap with windowed squares and half the triangles buckled. It has 7800 pieces with 15 types, LOC = 259.

550. Pinic - (PI nik) prismato24intercepted 24-48. Its cells are 48 octs, 24 grohs, 24 goccoes, and 96 trips. Its verf is a squap with the triangles buckled. It has 13008 pieces in 26 types, LOC = 396.

551. Incdi - (INK dee) 24intercepted 48dis24. Its cells are 48 octs, 24 grohs, 24 quercoes, and 24 quiths. Its verf is a squap with half the triangles buckled. It has 4344 pieces in 12 types, LOC = 143.

Verfs of Fissary Giddic Troops

Fissary - both are non-orientable.

F5. Dupti - (DOOP tee) dipesic tris24. Its cells are 24 grohs, 24 quercoes, and 24 quiths. Its verf is a hole filled squap faceting which looks a bit like a lampshade.

F6. Nadupapdi - (NA doo PAP dee) intercepted dipesic prismatodis24. Its cells are 24 goccoes, 24 grohs, 96 trips. Its verf is a blend of two inverted wedges.

Conjugates

Below shows how the spic regiment pairs up with the giddic regiment as conjugates.

Conjugates

The following are conjugate pairs: spic-quippic, siddic-giddic, sripic-gripic, smiffadic-gandic, offadac-lifdic, sandic-gamfaddic, lifpic-ofpic, sirc-girc, ipi-ripi, inpac-irnpac, picni-pic, ridi-idi, irnic-inic, dipdi-dapindi, sarnipadi-garnipadi, dirpidic-ifpic, pifficdi-dirpicdi, dinpi-ipindi, dinic-incdi, inpic-pinic, dupapdi-nadupapdi, and nadupti-dupti.

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