Acronym | bicypdrox |
Name | (bistratic) bi-cyclopentadiminished rectified hexacosachoron |
Circumradius | sqrt[5+2 sqrt(5)] = 3.077684 |
Lace city in approx. ASCII-art |
x5x r x5f F=ff=x+f=2x+v F5o m F5o o5F o' o o5F f5x p' p f5x n n demi(f5f) demi(f5f) x5x o5F q q o5F r p p' F5o F5o o demi(f5f) demi(f5f) o' q q x5f x5f m m F5o F5o x5x o' demi(f5f) demi(f5f) o r o5F q q o5F p' p f5x f5x n n demi(f5f) demi(f5f) o5F q q o5F p p' F5o F5o o demi(f5f) demi(f5f) o' x5x q q r x5f x5f m F5o F5o m o' o5F o5F o p' f5x p n x5x r |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Pattern
(of cells) |
pabidrid 1 pabidrid 2 r x5x a---b---a---b---a--... q (.5.) k---l---k---l---k--... | | | | | | | | | | m x5f c_ _d---c_ _d---c_ ... o'/o i_ _e---i_ _e---i_ ... o F5o e \ / e \ / e n .5. g \ / g \ / g p o5F / \ _f_ / \ _f_ / \ m .5. / \ _c_ / \ _c_ / \ n f5x g---h g---h g--... p'/p j---f j---f j--... | | | | | | | | | | r x5x a---b---a---b---a--... q (.5.) k---l---k---l---k--... peppy 1 peppy 2 peppy 3 peppy 4 r .5x a_-_b p o5. _f_ q (.5.) k_-_l m .5. _c_ o' .5o |_i_| n f5. h_|_g n .5. |_h_| p/p' f_|_j m .5f c_|_d p' o5. |_j_| o'/o i_|_e m .5. |_d_| o .5o e r x5. b---a n .5. g q (.5.) l---k squippy 1 squippy 2 squippy 3 squippy 4 r x5. b_-_a n .5x g_-_h q (.5.) l_-_k p'/p j_-_f p' o5. |_j_| o' .5o |_i_| m .5. |_d_| n .5. |_h_| m x5. d---c r .5x a---b o/o' e---i q (.5.) k---l squippy 5 squippy 6 oct m .5. _d o .5. i_ i o .5. e _|\ n .5. / a g d \|/ k p .5. \ l_f m .5. c_ |/ b /|\ h n .5. h p .5. j j |
Face vector | 300, 1000, 985, 285 |
Confer |
This polytope can be obtained as a bi-cyclical application of a bistratic diminishing of rox. Thereby the individual applications intersect in turn in either cycle, such that the individual bottom base of each chopped of ike-first cap, the srids, become paradiminished in turn, i.e. get reduced into pabidrids.
The above provided vertex pattern allows for higher symmetrical identifications. E.g. the grouping of the following vertex types into further equivalence classes: (a,l), (b,k), (c,e,f,g), (d,h,i,j). The according reduced matrix is appended below.
25 * * * * * * * * * * * | 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 | 2 1 1 1 1 1 0 0 0 0 0 0 0 a * 25 * * * * * * * * * * | 1 1 0 0 0 0 1 1 1 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 0 0 0 0 0 0 | 1 1 1 1 1 1 1 0 0 0 0 1 1 1 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 0 0 | 2 1 1 1 1 0 1 0 0 0 0 0 0 b * * 25 * * * * * * * * * | 0 0 1 0 0 0 0 0 0 0 1 1 1 1 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 0 | 0 1 1 0 0 0 0 1 1 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 0 0 0 0 0 0 0 | 1 1 1 0 0 1 0 1 1 0 0 0 0 c * * * 25 * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 1 0 1 1 1 0 0 d * * * * 25 * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 0 0 0 0 0 1 0 1 1 1 0 e * * * * * 25 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 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 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 | 1 0 0 1 0 0 0 1 1 1 0 0 1 f * * * * * * 25 * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 | 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 | 1 0 0 1 1 1 0 1 0 0 0 1 0 g * * * * * * * 25 * * * * | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 0 0 0 | 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 1 1 0 | 1 0 0 1 1 0 1 0 0 1 0 1 1 h * * * * * * * * 25 * * * | 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 | 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 | 0 1 0 0 1 1 1 1 0 0 1 1 0 i * * * * * * * * * 25 * * | 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 | 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 | 0 0 1 1 0 1 1 1 1 0 0 0 1 j * * * * * * * * * * 25 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 1 0 0 0 1 0 1 1 1 1 | 0 0 0 0 0 0 1 2 1 0 1 1 1 k * * * * * * * * * * * 25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 0 1 1 | 0 0 0 0 0 0 0 2 1 1 1 1 1 j ------------------------------------+-------------------------------------------------------------------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------+------------------------------------- 1 1 0 0 0 0 0 0 0 0 0 0 | 25 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------------------------------------+-------------------------------------------------------------------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------+------------------------------------- 5 5 0 0 0 0 0 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 2 0 0 0 0 0 0 0 0 0 0 0 0 :ab:10 1 1 1 1 1 0 0 0 0 0 0 0 | 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 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 | * 25 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 0 0 abdec 1 1 1 1 0 0 0 0 0 0 0 0 | 0 1 1 0 0 0 1 0 0 0 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 0 0 0 0 0 | * * 25 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 0 0 0 abdc 1 1 0 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