Category P3: Rissid Swirlprisms

The rissid swirls belong to the rissidtixhi regiment but have sispic symmetry. These 28 polychora have 1200 vertices and 7200 edges. They are formed by blending a compound of 12 distadedips (10-10/3 duoprism) with various dip/stiddip containing rissids. I discovered these on April 21, 2021. There are also two fissaries and the compound we used for blending.

The Main Swirls

These have three types of cells, stiddips, dips, and either toes or coes. These are tame and orientable. Those with 120 stiddips and 600 dips have very sharp ridges. The vertex figures are shown above.

Sidditspix - (SID dit spix) small ditrigonary swirlprismato600. Its cells are 600 stiddips, 120 dips, and 600 toes.

Gidditspix - (GID dit spix) great ditrigonary swirlprismato600. Its cells are 120 stiddips, 600 dips, and 600 toes. This one is extremely jagged looking.

Gotditspox - (GOT dit spox) great toroidoditrigonary swirlprismato600. Its cells are 600 stiddips, 120 dips, and 600 coes.

Stoditspox - (STO dit spox) small toroidoditrigonary swirlprismato600. Its cells are 120 stiddips, 600 dips, and 600 coes.

The Capped Swirls

These six are non-orientable and wild. They all have 120 ditrigonal cells and 600 choes, 120 of one of the prisms and 600 of the other, and a trapezic. The vertex figures are shown above.

Sidthispixhi - (SID this PIK she) small ditrigonary 120swirlprismato600-120. Its cells are 120 sidtids, 120 siids, 600 stiddips, 120 dips, and 600 choes.

Gidthispixhi - (GID this PIK she) great ditrigonary 120swirlprismato600-120. Its cells are 120 gidtids, 120 giids, 120 stiddips, 600 dips, and 600 choes.

Gidthisphix - (gid THIS fix) great ditrigonary 120swirlprismato120-600. Its cells are 120 sidtids, 120 siids, 120 stiddips, 600 dips, and 600 choes.

Sidthisphix - (sid THIS fix) small ditrigonary 120swirlprismato120-600. Its cells are 120 gidtids, 120 giids, 600 stiddips, 120 dips, and 600 choes.

Gidtixhisphi - (GID tik SHISS fee) great ditrigonary 600-120swirlprismato120. Its cells are 120 ditdids, 120 ideds, 120 stiddips, 600 dips, and 600 choes.

Sidtixhisphi - (SID tik SHISS fee) small ditrigonary 600-120swirlprismato120. Its cells are 120 ditdids, 120 ideds, 600 stiddips, 120 dips, and 600 choes.

The Pseudocapped Swirls

These six are non-orientable and wild. They all have 600 choes but no ditrigonal cells. They also have dip and stiddip (120 of one and 600 of the other) and a trapezic. The vertex figures are shown above.

Giddit Spadixady - (GID dit spa DIK sa de) great ditrigonary swirlprismatodis600dis120. Its cells are 120 gids, 600 octs, 120 siids, 600 stiddips, 120 dips, and 600 choes.

Siddit Spadixady - (SID dit spa DIK sa de) small ditrigonary swirlprismatodis600dis120. Its cells are 600 octs, 120 ids, 120 giids, 120 stiddips, 600 dips, and 600 choes.

Sidditspid Hiddix - (SID dit spid HID dix) small ditrigonary swirlprismatodis120dis600. Its cells are 120 gids, 600 octs, 120 siids, 120 stiddips, 600 dips, and 600 choes.

Gidditspid Hiddix - (GID dit spid HID dix) great ditrigonary swirlprismatodis120dis600. Its cells are 600 octs, 120 ids, 120 giids, 600 stiddips, 120 dips, and 600 choes.

Giddit Thispix - (GID dit THIS pix) great ditrigonary tris120swirlprismato600. Its cells are 120 gids, 120 ids, 120 ideds, 120 stiddips, 600 dips, and 600 choes.

Siddit Thispix - (SID dit THIS pix) small ditrigonary tris120swirlprismato600. Its cells are 120 gids, 120 ids, 120 ideds, 600 stiddips, 120 dips, and 600 choes.

The Horrible Dozen

These twelve are non-orientable and wild. They all have 600 choes, dips and stiddips split in 120 and 600, a trapezic, a cap cell, and two wall cells. The vertex figures are shown above.

Siddit Spadixthi - (SID dit spa DIX the) small ditrigonary swirlprismatodis600tris120. Its cells are 120 ditdids, 120 gids, 600 octs, 120 giids, 600 stiddips, 120 dips, and 600 choes.

Giddit Spadixthi - (GID dit spa DIX the) great ditrigonary swirlprismatodis600tris120. Its cells are 120 ditdids, 600 octs, 120 ids, 120 siids, 120 stiddips, 600 dips, and 600 choes.

Sidtid Xaspathi - (SID tid ZASP a the) small ditrigonary dis600swirlprismatotris120. Its cells are 120 ditdids, 120 gids, 600 octs, 120 giids, 120 stiddips, 600 dips, and 600 choes.

Gidtid Xaspathi - (GID tid ZASP a the) great ditrigonary dis600swirlprismatotris120. Its cells are 120 ditdids, 600 octs, 120 ids, 120 siids, 600 stiddips, 120 dips, and 600 choes.

Siddit Spathiddix - (SID dit spa THID dix) small ditrigonary swirlprismatotris120dis600. Its cells are 120 gidtids, 120 gids, 600 octs, 120 ideds, 600 stiddips, 120 dips, and 600 choes.

Giddit Spathiddix - (GID dit spa THID dix) great ditrigonary swirlprismatotris120dis600. Its cells are 120 sidtids, 600 octs, 120 ids, 120 ideds, 120 stiddips, 600 dips, and 600 choes.

Siddit Thispadex - (SID dit THIS pa dex) small ditrigonary tris120swirlprismarodis600. Its cells are 120 gidtids, 120 gids, 600 octs, 120 ideds, 120 stiddips, 600 dips, and 600 choes.

Giddit Thispadex - (GID dit THIS pa dex) great ditrigonary tris120swirlprismatodis600. Its cells are 120 sidtids, 600 octs, 120 ids, 120 ideds, 600 stiddips, 120 dips, and 600 choes.

Giddit Sphixthi - (GID dit SFIX the) great ditrigonary swirlprismato120-600tris120. Its cells are 120 gidtids, 120 gids, 120 ids, 120 siids, 120 stiddips, 600 dips, and 600 choes.

Siddit Sphixthi - (SID dit SFIX the) small ditrigonary swirlprismato120-600tris120. Its cells are 120 sidtids, 120 gids, 120 ids, 120 giids, 600 stiddips, 120 dips, and 600 choes.

Giddit Spathixhi - (GID dit spa THIK she) great ditrigonary swirlprismatotris120-600-120. Its cells are 120 gidtids, 120 gids, 120 ids, 120 siids, 600 stiddips, 120 dips, and 600 choes.

Siddit Spathixhi - (SID dit spa THIK she) small ditrigonary swirlprismatotris120-600-120. Its cells are 120 sidtids, 120 gids, 120 ids, 120 giids, 120 stiddips, 600 dips, and 600 choes.

Fissaries and Compound

These two fissaries and compound are orientable and tame. The vertex figures are shown above.

Gidtispic - (gid TIS pic) great ditrigonary swirlprismatocubichoron. Its cells are 600 cubes, 120 stiddips, and 600 dips.

Sidtispic - (sid TIS pic) swirl ditrigonary swirlprismatocubichoron. Its cells are 600 cubes, 600 stiddips, and 120 dips.

Fasp - (FASP) fissal swirlprism. Its cells are 120 stiddips and 120 dips.

Below are sections of each of the rissid swirlprisms in the same order mentioned on this page. The trapezics are split on two rows (some are missing due to giids not coded yet in my POV program.) The oho crowns and puckered three are on the same row. The first set of pics end with the oho bunch. On the second set of pics, the omnics and holey rhomchoes are on the same line. The tunnelers and direct omnichoes are on the same line. The clobberknockers are on two rows and the fissaries join the compounds on the last row.

Sections of the Rissids part 1

Conjugates

Below shows how the rissids pair up as conjugates:

The following are conjugate pairs: For all that start with s or g: siX-giX, stoX-gotX - where X is the rest of the name.

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