Acronym	ranq
Name	rectified hecatonicosihexapentacosiheptacontihexaexon
Circumradius	sqrt(2) = 1.414214
Inradius wrt. ril	3/sqrt(7) = 1.133893
Inradius wrt. jak	2/sqrt(3) = 1.154701
Inradius wrt. rag	1
Lace city in approx. ASCII-art	©   a b A -- o3o3o *b3o3x3o (rag) b c C b -- x3o3o *b3o3o3x (sochax) A C d c a -- tegum sum of o3x3o *b3o3o3o (brox) and o3o3o *b3o3o3u (u-gee) b c C b -- x3o3o *b3o3o3x (sochax) a b A -- o3o3o *b3o3x3o (rag) where: a = o3x3o3o3o (rix) A = o3o3o3x3o (inv. rix) b = x3o3o3o3x (scad) c = tegum sum of x3o3x3o3o (sarx) and o3o3o3o3u (dual u-hix) C = tegum sum of o3o3x3o3x (inv. sarx) and u3o3o3o3o (u-hix) d = o3x3o3x3o (sibrid)
	R c r -- o3o3o *b3o3x3o (rag) H q T p h -- x3o3o *b3o3o3x (sochax) r x b X R -- tegum sum of o3x3o *b3o3o3o (brox) and o3o3o *b3o3o3u (u-gee) H q T p h -- x3o3o *b3o3o3x (sochax) R c r -- o3o3o *b3o3x3o (rag) | | | | +-- x3o3o3o3o *c3o (jak) | | | +---- o3x3o3o3o *c3o (rojak) | | +------ x3o3o3o3x *c3o (trim) | +-------- o3o3o3x3o *c3o (alt. rojak) +---------- o3o3o3o3x *c3o (alt. jak) where: h = x3o3o3o3o (hix) H = o3o3o3o3x (dual hix) r = o3x3o3o3o (rix) R = o3o3o3x3o (inv. rix) p = x3o3o3x3o (spix) q = o3x3o3o3x (inv. spix) c = x3o3o3o3x (scad) T = xo3xo3oo3ox3ox&#zu (u-laced tegum sum of 2 tixes) b = o3x3o3x3o (sibrid)
Volume	1053/70 = 15.042857
Surface	[812+35 sqrt(3)+57 sqrt(7)]/10 = 102.342960
Dihedral angles	at rix between rag and ril:   arccos(-2/sqrt(7)) = 139.106605° at hix between jak and ril:   arccos[-sqrt(3/7)] = 130.893395° at tac between jak and rag:   arccos[-1/sqrt(3)] = 125.264390° at rix between rag and rag:   120°
Confer	related segmentoexa: jakarojak   rojakatrim   ragasochax
External links

Incidence matrix according to Dynkin symbol

o3o3o3o *c3o3x3o

. . . .    . . . | 756 ♦    32 |   160   16 |   320    80 |   160    80   160 |   32   20   80   40 |  2  16  10
-----------------+-----+-------+------------+-------------+-------------------+---------------------+-----------
. . . .    . x . |   2 | 12096 |    10    1 |    30    10 |    20    10    30 |    5    5   20   10 |  1   5   5
-----------------+-----+-------+------------+-------------+-------------------+---------------------+-----------
. . . .    o3x . |   3 |     3 | 40320    * |     6     1 |     6     3     6 |    2    3    6    3 |  1   2   3
. . . .    . x3o |   3 |     3 |     * 4032 ♦     0    10 |     0     0    30 |    0    0   20   10 |  0   5   5
-----------------+-----+-------+------------+-------------+-------------------+---------------------+-----------
. . o . *c3o3x . ♦   4 |     6 |     4    0 | 60480     * |     2     1     1 |    1    2    2    1 |  1   1   2
. . . .    o3x3o ♦   6 |    12 |     4    4 |     * 10080 ♦     0     0     6 |    0    0    6    3 |  0   2   3
-----------------+-----+-------+------------+-------------+-------------------+---------------------+-----------
. o3o . *c3o3x . ♦   5 |    10 |    10    0 |     5     0 | 24192     *     * |    1    1    1    0 |  1   1   1
. . o3o *c3o3x . ♦   5 |    10 |    10    0 |     5     0 |     * 12096     * |    0    2    0    1 |  1   0   2
. . o . *c3o3x3o ♦  10 |    30 |    20   10 |     5     5 |     *     * 12096 |    0    0    2    1 |  0   1   2
-----------------+-----+-------+------------+-------------+-------------------+---------------------+-----------
o3o3o . *c3o3x . ♦   6 |    15 |    20    0 |    15     0 |     6     0     0 | 4032    *    *    * |  1   1   0
. o3o3o *c3o3x . ♦  10 |    40 |    80    0 |    80     0 |    16    16     0 |    * 1512    *    * |  1   0   1
. o3o . *c3o3x3o ♦  15 |    60 |    60   20 |    30    15 |     6     0     6 |    *    * 4032    * |  0   1   1
. . o3o *c3o3x3o ♦  15 |    60 |    60   20 |    30    15 |     0     6     6 |    *    *    * 2016 |  0   0   2
-----------------+-----+-------+------------+-------------+-------------------+---------------------+-----------
o3o3o3o *c3o3x . ♦  27 |   216 |   720    0 |  1080     0 |   432   216     0 |   72   27    0    0 | 56   *   *
o3o3o . *c3o3x3o ♦  21 |   105 |   140   35 |   105    35 |    42     0    21 |    7    0    7    0 |  * 576   *
. o3o3o *c3o3x3o ♦  60 |   480 |   960  160 |   960   240 |   192   192   192 |    0   12   32   32 |  *   * 126

xoxoo3oxooo3ooooo3oooxo3ooxox *c3ooooo&#xt   → all heights = 1/sqrt(3) = 0.577350
(jak || rojak || trim || alt. rojak || alt. jak)

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