Tetraaugmented triangular hebesphenorotundaeic rhombochoron (EntityTopic, 15)

From Hi.gher. Space

(Difference between revisions)

Latest revision as of 11:29, 30 March 2014

The tetraaugmented triangular hebesphenorotundaeic rhombochoron is a bilbirothawroid discovered by Quickfur on March 21, 2014. It is an augmentation of the triangular hebesphenorotundaeic rhombochoron with 4 triangular hebesphenorotunda pseudopyramids. It is important because this augmentation makes it possible to diminish it in a different way that introduces bilunabirotunda cells, one example of which is D4.4.2. The augmentation causes the metabidiminished icosahedra to become icosahedra.

Projections

Centered on triangle between 3 icosahedral cells:

Incidence matrix

Dual: (dual of tetraaugmented triangular hebesphenorotundaeic rhombochoron)

#	TXID	Va	Vb	Vc	Vd	Ve	Vf	Ea	Eb	Ec	Ed	Ee	Ef	Eg	Eh	Ei	Ej	Ek	El	Em	En	Eo	Ep	Eq	Er	Es	3a	3b	3c	4a	4b	3d	4c	3e	3f	3g	3h	3i	3j	3k	5a	3l	3m	6a	3n	3o	4d	3p	3q	3r	4e	3s	3t	3u	C1a	C2a	C3a	C4a	C4b	C4c	C5a	C6a	C4d	C2b	C5b	C5c	C7a	Type	Name
0	Va																																																																			= point	; red - top
1	Vb																																																																			= point	; orange - mid
2	Vc																																																																			= point	; green
3	Vd																																																																			= point	; blue - cross
4	Ve																																																																			= point	; purple - bot
5	Vf																																																																			= point	; extra
6	Ea	2	0	0	0	0	0																																																													= digon	; rr - Ea
7	Eb	1	1	0	0	0	0																																																													= digon	; ro - Eb
8	Ec	0	2	0	0	0	0																																																													= digon	; oo horz - Ec
9	Ed	0	2	0	0	0	0																																																													= digon	; oo vert
10	Ee	0	1	1	0	0	0																																																													= digon	; og rad
11	Ef	0	1	1	0	0	0																																																													= digon	; og orb
12	Eg	0	1	0	1	0	0																																																													= digon	; ob rad
13	Eh	0	1	0	1	0	0																																																													= digon	; ob orb - Ed
14	Ei	0	1	0	0	1	0																																																													= digon	; op - Ee
15	Ej	0	0	2	0	0	0																																																													= digon	; gg orange
16	Ek	0	0	2	0	0	0																																																													= digon	; gg blue
17	El	0	0	1	1	0	0																																																													= digon	; gb
18	Em	0	0	0	1	1	0																																																													= digon	; bp - Ef
19	En	0	0	0	0	2	0																																																													= digon	; pp - Egh
20	Eo	1	0	0	0	0	1																																																													= digon	; rx - Ei
21	Ep	0	1	0	0	0	1																																																													= digon	; ox - Ej
22	Eq	0	0	0	1	0	1																																																													= digon	; bx - Ek
23	Er	0	0	0	0	1	1																																																													= digon	; px - El
24	Es	0	0	0	0	0	2																																																													= digon	; xx - Em
25	3a	3	0	0	0	0	0	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0																																										= triangle	; rrr - top
26	3b	1	2	0	0	0	0	0	2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0																																										= triangle	; roo horz - tola
27	3c	1	2	0	0	0	0	0	2	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0																																										= triangle	; roo vert
28	4a	0	4	0	0	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0																																										= square	; oooo
29	4b	0	2	2	0	0	0	0	0	1	0	2	0	0	0	0	0	1	0	0	0	0	0	0	0	0																																										= square	; oogg
30	3d	0	2	0	1	0	0	0	0	1	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0																																										= triangle	; oob
31	4c	0	2	0	0	2	0	0	0	1	0	0	0	0	0	2	0	0	0	0	1	0	0	0	0	0																																										= square	; oopp - square
32	3e	0	2	1	0	0	0	0	0	0	1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0																																										= triangle	; oog rad
33	3f	0	2	1	0	0	0	0	0	0	1	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0																																										= triangle	; oog orb
34	3g	0	1	2	0	0	0	0	0	0	0	1	1	0	0	0	1	0	0	0	0	0	0	0	0	0																																										= triangle	; ogg
35	3h	0	1	1	1	0	0	0	0	0	0	1	0	1	0	0	0	0	1	0	0	0	0	0	0	0																																										= triangle	; ogb rad
36	3i	0	1	1	1	0	0	0	0	0	0	0	1	0	1	0	0	0	1	0	0	0	0	0	0	0																																										= triangle	; ogb orb
37	3j	0	1	0	1	1	0	0	0	0	0	0	0	1	0	1	0	0	0	1	0	0	0	0	0	0																																										= triangle	; obp rad
38	3k	0	1	0	1	1	0	0	0	0	0	0	0	0	1	1	0	0	0	1	0	0	0	0	0	0																																										= triangle	; obp orb - bola
39	5a	0	0	2	2	1	0	0	0	0	0	0	0	0	0	0	1	0	2	2	0	0	0	0	0	0																																										= pentagon	; ggbbp
40	3l	0	0	2	1	0	0	0	0	0	0	0	0	0	0	0	0	1	2	0	0	0	0	0	0	0																																										= triangle	; ggb
41	3m	0	0	0	1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	2	1	0	0	0	0	0																																										= triangle	; bpp - lat
42	6a	0	0	0	0	6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	6	0	0	0	0	0																																										= hexagon	; pppppp - bot
43	3n	2	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0																																										= triangle	; top-pen to apex
44	3o	1	1	0	0	0	1	0	1	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0																																										= triangle	; pen-tola to apex
45	4d	0	2	0	0	0	2	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	1																																										= square	; tola-square to apex
46	3p	0	1	0	1	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	1	1	0	0																																										= triangle	; pen-bola to apex
47	3q	0	1	0	0	1	1	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	1	0	1	0																																										= triangle	; bola-square to apex
48	3r	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	1	1	0																																										= triangle	; bola-lat to apex
49	4e	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	2	1																																										= square	; square-bot to apex
50	3s	0	0	0	0	2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	2	0																																										= triangle	; lat-bot to apex
51	3t	0	0	0	0	0	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3																																										= triangle	; roof
52	3u	1	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	1																																										= triangle	; top to roof
53	C1a	2	4	2	2	0	2	1	4	0	2	0	4	0	4	0	0	1	4	0	0	4	4	2	0	0	0	0	2	0	0	0	0	0	2	0	0	4	0	0	0	2	0	0	2	4	0	4	0	0	0	0	0	0														= icosahedron	;
54	C2a	0	4	2	0	0	0	0	0	2	2	4	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	1	2	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0														= triangular prism	; oooogg
55	C3a	0	1	2	2	1	0	0	0	0	0	1	1	1	1	1	1	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0														= pentagonal pyramid	; oggbbp
56	C4a	1	4	0	0	0	0	0	4	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0														= square pyramid	; roooo
57	C4b	0	2	2	1	0	0	0	0	1	0	2	0	2	0	0	0	1	2	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	2	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0														= square pyramid	; ooggb
58	C4c	0	2	0	1	2	0	0	0	1	0	0	0	2	0	2	0	0	0	2	1	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	2	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0														= square pyramid	; oobpp
59	C5a	0	2	2	0	0	0	0	0	0	1	2	2	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0														= tetrahedron	; oogg
60	C6a	3	0	0	0	0	3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	6	0	0	0	3	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	0	0	0	0	0	0	0	1	3														= octahedron	; top to roof
61	C4d	1	2	0	0	0	2	0	2	1	0	0	0	0	0	0	0	0	0	0	0	2	2	0	0	1	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	1	0	0	0	0	0	0	1														= square pyramid	; tola to roof
62	C2b	0	2	0	0	2	2	0	0	1	0	0	0	0	0	2	0	0	0	0	1	0	2	0	2	1	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	2	0	1	0	0	0														= triangular prism	; square to roof
63	C5b	0	1	0	1	1	1	0	0	0	0	0	0	0	1	1	0	0	0	1	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	1	1	1	0	0	0	0														= tetrahedron	; bola to roof
64	C5c	0	0	0	1	2	1	0	0	0	0	0	0	0	0	0	0	0	0	2	1	0	0	1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	2	0	1	0	0														= tetrahedron	; lat to roof
65	C7a	0	0	0	0	6	3	0	0	0	0	0	0	0	0	0	0	0	0	0	6	0	0	0	6	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	3	3	1	0														= triangular cupola	; bot to roof
66	H4.1a	6	24	12	12	12	12	6	24	12	12	24	24	24	24	24	6	6	24	24	12	24	24	12	24	12	2	12	12	6	12	12	12	12	12	24	24	24	24	24	12	12	12	2	12	24	12	24	24	24	12	12	4	12	6	6	24	6	12	12	12	4	12	12	24	12	4	= tetraaugmented triangular hebesphenorotundaeic rhombochoron	;

Usage as facets

This polytope does not currently appear as facets in any higher-dimensional polytopes in the database.

Tetraaugmented triangular hebesphenorotundaeic rhombochoron
No image
Net space:	4
Bounding space:	4
Elements:	Unknown
Symmetry group:	Unknown
SSCN:	Unknown
SSC2:	Unknown
Circular packing value:	Unknown
Square packing value:	Unknown
[ Polytope ]
Symbol:	N/A
Facet layout:	Unknown
Petrie order:	Unknown
Alternation:	N/A
Dual:	Unknown
Bowers acronym:	N/A

@@ Line 10: / Line 10: @@
 <[#embed [hash P6CBM466M4ESRW7AMETKJC95NY]]>
+<[#polytope [id 120]]>
 == Software models ==
 *[[Polyview]] [http://hddb.teamikaria.com/dl/M255A0A3VF9BPJ0ERTJ0JR8NBX.def .def file]
 *[[Stella4D]] [http://hddb.teamikaria.com/dl/85Z0GPDZJZQXJ54QAS926QS88E.off .off file]