Category 14: Skewverts


This category deals with the polychora with skewed wedge vertex figures along with their regiments. There are 4 regiments of 15. The last four of each regiment are wild, the others are tame. The verfs of each regiment go in this order: convex wedge, 3 crossed wedges, 3 butterfly wedges (non-orientable), faceted wedge, 3 X-butterfly wedges (non-orientable), inverted wedge, and 3 windowed wedges. The skiviphado regiment has tessic symmetry and these polychora have 192 vertices. The other three regiments have 7200 vertices with hyic symmetry. The skiviphado regiment is the largest tessic regiment known. Following is a list of the 60 skewverts.

Skiviphado Regiment

Skiviphado Regiment Verfs

Skiviphado is the last of the tessic regiments currently known. This regiment shows up as facets in five non-prismatic regiments amongst the uniform polytera.

552. Skiviphado - (ska VIF a doe) small skewverted prismato16dis8. Its cells are 8 goccoes, 16 coes, 8 sircoes, and 24 stops. Its symbol is x(o'x"x).

553. Kavahto - (ka VAH to) skewverted 16tris8. Its cells are 8 goccoes, 16 ohoes, 8 soccoes, and 8 cotcoes. Its symbol is ((x"(x'o),x')).

554. Gikviphado - (gik VIF a doe) great skewverted prismato16dis8. Its cells are 8 quercoes, 16 coes, 8 soccoes, and 24 ops. Its symbol is x(o"x'x).

555. Kaviphdit - (ka VIF dit) skewverted prismato16distesseract. Its cells are 8 quercoes, 16 ohoes, 8 sircoes, and 32 hips. Its symbol is x'(o,xx).

556. Sik Vipatoth - (sik VIP a toth) small skewverted prismatotesseractitesseracti16. Its cells are 16 choes, 8 srohs, 24 stops, and 8 cotcoes.

557. Kavadipdit - (KAV a DIP dit) skewverted disprismatodistesseract. Its cells are 8 grohs, 8 srohs, 24 stops, and 24 ops.

558. Sik Vapippith - (SIK va PIP pith) small skewverted prismatoprismatotesseracti16. Its cells are 8 grohs, 16 choes, 24 stops, and 32 hips.

559. Kavitpo - (KAV it po) skewverted trisprismato8. Its cells are 24 stops, 8 cotcoes, 24 ops, and 32 hips.

560. Gik Vapippith - (GIK va PIP pith) great skewverted prismatoprismatotesseracti16. Its cells are 16 choes, 8 srohs, 24 ops, and 32 hips.

561. Kaviptit - (ka VIP tit) skewverted prismatotristesseract. Its cells are 8 grohs, 8 srohs, 8 cotcoes, and 32 hips.

562. Gik Vipatoth - (gik VIP a toth) great skewverted prismatotesseractitesseracti16. Its cells are 8 grohs, 16 choes, 8 cotcoes, and 24 ops.

563. Sik Vadiphto - (SIK va DIF toe) small skewverted disprismato16tris8. Its cells are 8 goccoes, 16 coes, 8 sircoes, 8 cotcoes, 24 ops, and 32 hips.

564. Kavatiphado - (KAV a TIF a doe) skewverted trisprismato16dis8. Its cells are 8 goccoes, 16 ohoes, 8 soccoes, 24 stops, 24 ops, and 32 hips.

565. Gik Vadiphto - (GIK va DIF toe) great skewverted disprismato16tris8. Its cells are 8 quercoes, 16 coes, 8 soccoes, 24 stops, 8 cotcoes, and 32 hips.

566. Kevdiphato - (kev DIF a toe) skewverted disprismato16tris8. Its cells are 8 quercoes, 16 ohoes, 8 sircoes, 24 stops, 8 cotcoes, and 24 ops.

Sample slices of them are below in same order.

Skiviphado Regiment Slices


Gik Vixathi Regiment

Gik Vixathi Regiment Verfs

Members below, verfs above.

567. Gik Vixathi - (gik VIX a thee) great skewverted 600tris120. Its cells are 120 gaquatids, 120 gaddids, 600 coes, and 120 siids. Its symbol is (x(o*x)*'x).

568. Gikkiv Datixathi - (GIK kiv da TIK sa thee) great skewverted ditrigonal 600tris120. Its cells are 120 gaddids, 600 ohoes, 120 sidditdids, and 120 idtids. Its symbol is ((x*'(x*o),x^)).

569. Gikkiv Datapixady - (GIK kiv DA ta PIK sa dee) great skewverted ditrigonal prismato600dis120. Its cells are 120 qrids, 600 coes, 120 sidditdids, and 720 dips. Its symbol is x(o*'x^x).

570. Gik Vadixady - (GIK va DIK sa dee) great skewverted dis600dis120. Its cells are 120 qrids, 600 ohoes, 120 siids, and 600 toes. Its symbol is (x,(ox)x*).

571. Gik Vohixady - (GIK vo HIK sa dee) great skewverted 120-600dis120. Its cells are 120 gaquatids, 600 choes, 120 siddies, and 120 idtids.

572. Gik Viphidy - (GIK vif FI dee) great skewverted prismato120dis120. Its cells are 120 gaquatids, 120 girds, 120 siddies, and 720 dips.

573. Gik Vidhiddix - (GIK vid HID dix) great skewverted dis120dis600. Its cells are 120 gaquatids, 120 girds, 600 choes, and 600 toes.

574. Gik Vaphixhi - (GIK va FIK she) great skewverted prismato120-600-120. Its cells are 120 gaquatids, 120 idtids, 720 dips, and 600 toes.

575. Gik Vaphiddix - (GIK va FID dix) great skewverted prismato120dis600. Its cells are 600 choes, 120 siddies, 720 dips, and 600 toes.

576. Gik Vixhidy - (GIK vik SHI dee) great skewverted 600-120dis120. Its cells are 120 girds, 120 siddies, 120 idtids, and 600 toes.

577. Gikkiv Pixady - (GIK kiv PIK sa dee) great skewverted prismato600dis120. Its cells are 120 girds, 600 choes, 120 idtids, and 720 dips.

578. Gikkiv Padixathi - (GIK kiv pa DIK sa thee) great skewverted prismatodis600tris120. Its cells are 120 gaddids, 600 coes, 120 siids, 120 idtids, 720 dips, and 600 toes.

579. Gikkiv Pathiddix - (GIK kiv pa THID dix) great skewverted prismatotris120dis600. Its cells are 120 gaquatids, 120 gaddids, 600 ohoes, 120 sidditdids, 720 dips, and 600 toes.

580. Gikkiv Dixathi - (GIK kiv DIK sa thee) great skewverted dis600tetris120. Its cells are 120 gaquatids, 120 qrids, 600 coes, 120 sidditdids, 120 idtids, and 600 toes.

581. Gikkiv Pixathi - (GIK kiv PIK sa thee) great skewverted prismato600tetris120. Its cells are 120 gaquatids, 120 qrids, 600 ohoes, 120 siids, 120 idtids, and 720 dips.

Sample slices of them are below in same order.

Gik Vixathi Regiment Slices


Sik Vipathi Regiment

Sik Vipathi Regiment Verfs

Members below, verfs above.

582. Sik Vipathi - (sik VIP a thee) small skewverted prismatotris120. Its cells are 120 gaddids, 120 radeds, 120 srids, and 720 stiddips. Its symbol is x^(o*x*'x).

583. Kevuthi - (KEV uh thee) skewverted tetris120. Its cells are 120 gaddids, 120 ideds, 120 saddids, and 120 idtids. Its symbol is ((*x*'(xo)^'x^)).

584. Gik Vipathi - (gik VIP a thee) great skewverted prismatotris120. Its cells are 120 qrids, 120 radeds, 120 saddids, and 720 dips. Its symbol is x*(o^x^x,)

585. Kavipathi - (ka VIP a thee) skewverted prismatotris120. Its cells are 120 qrids, 120 ideds, 120 srids, and 1200 hips. Its symbol is x(o*'xx^).

586. Mik Vipathi - (mik VIP a thee) medial skewverted prismatotris120. Its cells are 120 ris, 120 sirds, 720 stiddips, and 120 idtids.

587. Kavidipady - (KAV a DIP a dee) skewverted disprismatodis120. Its cells are 120 girds, 120 sirds, 720 stiddips, and 720 dips.

588. Skiv Pappady - (skiv PAP a dee) small skewverted prismatoprismatodis120. Its cells are 120 girds, 120 ris, 720 stiddips, and 1200 hips.

589. Kavitaphi - (KAV a TAF fee) skewverted trisprismato120. Its cells are 120 stiddips, 120 idtids, 720 dips, and 1200 hips.

590. Gikkiv Pappady - (GIK kiv PAP a dee) great skewverted prismatoprismatodis120. Its cells are 120 ris, 120 sirds, 720 dips, and 1200 hips.

591. Kavaphidy - (KAV a FI dee) skewverted prismato120dis120. Its cells are 120 girds, 120 sirds, 120 idtids, and 1200 hips.

592. Gak Vipathi - (gak VIP a thee) grand skewverted prismatotris120. Its cells are 120 girds, 120 ris, 120 idtids, and 720 dips.

593. Sik Vadipthi - (SIK va DIP thee) small skewverted disprismatotetris120. Its cells are 120 gaddids, 120 radeds, 120 srids, 120 idtids, 720 dips, and 1200 hips.

594. Kavatipathi - (KA va TIP a thee) skewverted trisprismatotris120. Its cells are 120 gaddids, 120 ideds, 120 saddids, 720 stiddips, 720 dips, and 1200 hips.

595. Gik Vadipthi - (GIK va DIP thee) great skewverted disprismatotetris120. Its cells are 120 qrids, 120 radeds, 120 saddids, 720 stiddips, 120 idtids, and 1200 hips.

596. Kavadapthi - (KA va DAP thee) skewverted disprismatotetris120. Its cells are 120 qrids, 120 ideds, 120 srids, 7200 stiddips, 120 idtids, and 720 dips.

Sample slices of them are below in same order.

Sik Vipathi Regiment Slices


Skiv Datapixady Regiment

Skiv Datapixady Regiment Verfs

Members below, verfs above.

597. Skiv Datapixady - (SKIV da ta PIK sa dee) small skewverted ditrigonal prismato600dis120. Its cells are 120 gidditdids, 600 coes, 120 srids, and 720 stiddips. Its symbol is x(o^x*'x).

598. Skiv Datixathi - (SKIV da TIK sa thee) small skewverted ditrigonal 600tris120. Its cells are 120 gidditdids, 600 ohoes, 120 saddids, and 120 idtids. Its symbol is ((,x^(x^o)x*')).

599. Sik Vixathi - (sik VIK sa thee) small skewverted 600tris120. Its cells are 120 giids, 600 coes, 120 saddids, and 120 grids. Its symbol is (x(o^'x)^x).

600. Sik Vadixady - (SIK va DIK sa dee) small skewverted dis600dis120. Its cells are 120 giids, 600 ohoes, 120 srids, and 600 toes. Its symbol is (x(o,x)x^).

601. Skiv Pixady - (skiv PIK sa dee) small skewverted prismato600dis120. Its cells are 600 choes, 120 sirds, 720 stiddips, and 120 idtids.

602. Sik Viphidy - (SIK vif FI dee) small skewverted prismato120dis120. Its cells are 120 giddies, 120 sirds, 720 stiddips, and 120 grids.

603. Sik Vaphiddix - (SIK va FID dix) small skewverted prismato120dis600. Its cells are 120 giddies, 600 choes, 720 stiddips, and 600 toes.

604. Sik Vaphixhi - (SIK va FIK she) small skewverted prismato120-600-120. Its cells are 720 stiddips, 120 idtids, 120 grids, and 600 toes.

605. Sik Vidhiddix - (SIK vid HID dix) small skewverted dis120dis600. Its cells are 600 choes, 120 sirds, 120 grids, and 600 toes.

606. Sik Vixhidy - (SIK vik SHI dee) small skewverted 600-120dis120. Its cells are 120 giddies, 120 sirds, 120 idtids, and 600 toes.

607. Sik Vohixady - (SIK vo HIK sa dee) small skewverted 120-600-dis120. Its cells are 120 giddies, 600 choes, 120 idtids, and 120 grids.

608. Skiv Dixathi - (skiv DIK sa thee) small skewverted dis600tetris120. Its cells are 120 gidditdids, 600 coes, 120 srids, 120 idtids, 120 grids, and 600 toes.

609. Skiv Pathiddix - (SKIV pa THID dix) small skewverted prismatotris120dis600. Its cells are 120 gidditdids, 600 ohoes, 120 saddids, 720 stiddips, 120 grids, and 600 toes.

610. Skiv Padixathi - (SKIV pa DIK sa thee) small skewverted prismatodis600tris120. Its cells are 120 giids, 600 coes, 120 saddids, 720 stiddips, 120 idtids, and 600 toes.

611. Skiv Pixathi - (skiv PIK sa thee) small skewverted prismato600tetris120. Its cells are 120 giids, 600 ohoes, 120 srids, 720 stiddips, 120 idtids, and 120 grids.

Sample slices of them are below in same order.

Skiv Datapixady Regiment Slices


Conjugates

Below shows how the skewverts pair up as conjugates.

Self Conjugates - The following are self-conjugate: kavahto, kaviphdit, kavadipdit, kavitpo, kaviptit, kavatiphado, kevdiphato, kevuthi, kavipathi, kavidipady, kavitaphi, kavaphidy, kavatipathi, and kavadapthi.

Conjugates - The following form conjugates: skiviphado-gikviphado, sik vipatoth-gik vipatoth, sik vapippith-gik vapippith, sik vadiphto-gik vadiphto, gik vixathi-sik vixathi, gikkiv datixathi-skiv datixathi, gikkiv datapixady-skiv datapixady, gik vadixady-sik vadixady, gik vohixady-sik vohixady, gik viphidy-sik viphidy, gik vidhiddix-sik vidhiddix, gik vaphixhi-sik vaphixhi, gik vaphiddix-sik vaphiddix, gik vixhidy-sik vixhidy, gikkiv pixady-skiv pixady, gikkiv padixathi-skiv padixathi, gikkiv pathiddix-skiv pathiddix, gikkiv dixathi-skiv dixathi, gikkiv pixathi-skiv pixathi, sik vipathi-gik vipathi, mik vipathi-gak vipathi, skiv pappady-gikkiv pappady, and sik vadipthi-gik vadipthi.

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