Acronym hexdex
Name hexadecadiminished hexacosachoron
Circumradius (1+sqrt(5))/2 = 1.618034
Dihedral angles
  • at {3} between tet and tet:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {3} between ike and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • at {3} between ike and ike:   120°
Face vector 104, 528, 716, 296
Confer
uniform relative:
ex   sadi  
segmentochora:
ikepy  
general polytopal classes:
Blind polytopes  

Within A1×A1×A1×A1 subsymmetry ex can be given as oooxxxfffFFFVooof FxfoFfxFofxooVoof xfFFfoFoxxofooVof fFxfoFoxFofxoooVf&#zx. This Blind polytope is obtained therefrom as a monostratic diminishing at the vertices of a vertex-inscribed f-scaled tes, then chopping off an ikepy each. Accordingly this polychoron can be represented as oooxxxfffFFFVooo. FxfoFfxFofxooVoo. xfFFfoFoxxofooVo. fFxfoFoxFofxoooV.&#zx.

Having in mind that ico is the hull of 3 q-hexes and tes then is the hull of just 2 of those, it becomes obvious that a third qf-scaled hex could here be omitted in ex in such a way that those omissions complete the inscribed f-ico. This then becomes nothing but sadi, which within this subsymmetry would be described as oooxxxfffFFF..... FxfoFfxFofxo..... xfFFfoFoxxof..... fFxfoFoxFofx.....&#zx.


Incidence matrix according to Dynkin symbol

oooxxxfffFFFVooo FxfoFfxFofxooVoo xfFFfoFoxxofooVo fFxfoFoxFofxoooV&#zx   → all existing heights = 0   (F=f+x=ff, V=2f)

o............... o............... o............... o...............      | 8 * * * * * * * * * * * * * * *  1 1 1  2  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 0 0 0 0  0 0 0  0 0 0 0  0 0 0 0  0  0 0 0  0 0 0 0 | 1  2  2 1  2  2 1 2 2  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 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 |  2 1 1  2 1 1 2 2 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
.o.............. .o.............. .o.............. .o..............      | * 8 * * * * * * * * * * * * * *  0 1 0  0  0  0 0 1 1  2  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 0  0 0 0 0  0 0 0 0  0  0 0 0  0 0 0 0 | 1  2  0 0  0  0 0 0 0  0  0 0  2 1 2  2 1 2  2  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 0 0  0 0 0 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 1 2  2 1 2 0  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  0 0 0
..o............. ..o............. ..o............. ..o.............      | * * 8 * * * * * * * * * * * * *  0 0 1  0  0  0 0 0 1  0  0  0 0 1  2  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  0 0 0 0  0  0 0 0  0 0 0 0 | 1  0  2 0  0  0 0 0 0  0  0 0  2 0 0  0 0 0  0  0  0 0 1  2  2 1 2  2 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 0 0  0 0  0  0 0  0 0 0 0  0 0 |  2 0 1  0 0 0 0 0 1 0 0  0 0 0 2  1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0  0 0 0
...o............ ...o............ ...o............ ...o............      | * * * 8 * * * * * * * * * * * *  0 0 0  0  0  0 0 0 0  2  0  0 0 0  2  0  0 0 1  2 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 0  0  0 0 0 0  0  0 0  2 2 1  2 0 0  0  0  0 0 2  2  2 0 0  0 0  0 0 1 1  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  0 0  0 0 0 0  0 0 |  2 0 0  0 0 0 0 0 2 1 1  0 0 0 2  2 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0  0 0 0
....o........... ....o........... ....o........... ....o...........      | * * * * 8 * * * * * * * * * * *  0 0 0  2  0  0 0 0 0  0  0  0 0 0  0  2  0 0 0  0 0 0 0 1 1  2 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  2 2  2  2 0 0 0  0  0 0  0 0 0  0 0 0  0  0  0 0 0  0  0 2 1  2 0  0 0 0 0  0  0 0 1 1  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 0  0 0 |  2 0 2  2 2 0 0 0 0 0 0  0 0 0 0  0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0  0 0 0
.....o.......... .....o.......... .....o.......... .....o..........      | * * * * * 8 * * * * * * * * * *  0 0 0  0  2  0 0 0 0  0  2  0 0 0  0  0  0 0 0  0 0 0 0 0 0  0 0 0 1 1  2 1 1 0 0  0 0 0  0 0 0 0  0 0 0 0  0  0 0 0  0 0 0 0 | 0  2  0 0  0  0 2 1 0  2  0 0  0 0 0  0 2 0  2  2  0 0 0  0  0 0 0  0 0  0 0 0 0  0  0 0 0 0  0  0 0 1 1  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 |  2 2 0  0 0 1 1 0 0 0 0  2 2 0 0  0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0  0 0 0
......o......... ......o......... ......o......... ......o.........      | * * * * * * 8 * * * * * * * * *  0 0 0  0  0  0 0 0 0  0  0  0 0 0  0  0  2 0 0  2 0 0 0 0 1  0 0 0 0 0  0 0 0 1 1  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 0 0  0  0 0  0 0 0  0 0 0  0  0  0 0 0  2  0 0 0  2 1  2 0 0 2  2  2 0 1 0  0  0 0 0 0  0  0 0 2 1  2 1 0 0  0 0 0 0 0  0 0  0  0 0  0 0 0 0  0 0 |  2 0 0  0 0 0 0 0 0 0 0  0 0 0 2  0 0 1 1 2 2 0 0 0 0 1 1 0 0 0 0 0  0 0 0
.......o........ .......o........ .......o........ .......o........      | * * * * * * * 8 * * * * * * * *  0 0 0  0  0  2 0 0 0  0  0  0 0 0  0  0  0 0 0  0 0 0 0 0 0  2 0 0 0 1  0 0 0 0 0  0 0 1  2 1 1 0  0 0 0 0  0  0 0 0  0 0 0 0 | 0  0  0 0  2  0 0 0 1  2  2 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  2 0 2 1  0  0 0 0 0  0 0 1 2  2 1 0 0 0  0 0  0  0 0  0 0 0 0  0 0 |  2 0 0  2 0 0 1 1 0 0 0  0 0 0 0  0 0 0 0 0 0 2 2 0 0 0 0 1 1 0 0 0  0 0 0
........o....... ........o....... ........o....... ........o.......      | * * * * * * * * 8 * * * * * * *  0 0 0  0  0  0 0 0 0  0  0  2 0 0  0  0  0 0 0  0 1 0 0 0 0  0 0 0 0 0  2 0 0 0 0  0 0 0  0 0 0 1  2 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  2 0 1  2  0  2 0 0  0  0 0 0  0 0  0 0 0 0  0  0 1 0 0  0  0 0 0 2  2  2 0 0 0  0 0 0 0  0 0 1 2 1  2 0  0  0 0  0 0 0 0  0 0 |  2 0 0  0 0 0 0 0 0 0 1  2 0 1 0  0 0 0 0 0 0 0 0 2 2 0 0 0 0 1 1 0  0 0 0
.........o...... .........o...... .........o...... .........o......      | * * * * * * * * * 8 * * * * * *  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 0 0 0  0 0 0 0 1  0 0 0  2 0 0 0  0 0 0 1  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  0  0 0 0  0  0 0 0  0 0  0 0 0 0  0  0 0 1 0  2  0 0 0 0  0  0 0 0 0  2 0 2 1  2 0 0 0 0  0 2  2  2 1  2 1 0 0  0 0 |  2 0 0  0 0 0 0 0 0 0 0  0 0 0 0  0 0 0 0 0 0 1 0 0 0 0 1 1 2 0 0 2  2 1 0
..........o..... ..........o..... ..........o..... ..........o.....      | * * * * * * * * * * 8 * * * * *  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 0 0 0  0 0 0  0 1 0 0  2 0 0 0  2  0 0 1  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 0  0  0 0 0  0 0  0 0 0 0  0  0 0 0 0  0  0 0 1 0  2  0 0 0 0  0 0 0 0  2 0 2 1 0  2 1  2  2 0  0 0 2 1  2 0 |  2 0 0  0 0 0 0 0 0 0 0  0 0 0 0  0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 1  2 0 2
...........o.... ...........o.... ...........o.... ...........o....      | * * * * * * * * * * * 8 * * * *  0 0 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 0 0 0  0 0 0 0 0  2 0 0  0 0 0 0  0 1 0 0  0  2 0 0  2 0 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  2  0 1 0 0  0  0 0 0 0  0  0 0 1 2  2 0 0 0  0 0 0 0 0  2 0  2  0 2  2 0 1 0  2 1 |  2 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 2 0 0 0 1 0  2 2 1
............o... ............o... ............o... ............o...      | * * * * * * * * * * * * 2 * * *  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  0 0 0 0  0 0 0 0  0  0 4 0  0 4 0 4 | 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  0  0 0 0 0  0  0 0 0 0  0 0 0 0  0 0 0 0 0  0 0  0  8 0  8 2 0 2  8 2 |  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 4  8 4 4
.............o.. .............o.. .............o.. .............o..      | * * * * * * * * * * * * * 2 * *  0 0 0  0  0  0 4 0 0  0  0  0 0 0  0  0  0 0 0  0 0 0 0 0 0  0 0 4 0 0  0 0 0 0 0  0 0 0  0 0 4 0  0 0 0 0  0  0 0 0  0 0 0 0 | 0  0  0 0  0  8 0 0 0  0  8 2  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  8 2 0 0  0  0 0 0 0  0 0 0 0  0 2 0 0 0  0 0  0  0 0  0 0 0 0  0 0 |  0 0 0  8 4 0 0 4 0 0 0  0 0 0 0  0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0  0 0 0
..............o. ..............o. ..............o. ..............o.      | * * * * * * * * * * * * * * 2 *  0 0 0  0  0  0 0 0 0  0  0  0 0 0  0  0  0 4 0  0 0 0 4 0 0  0 0 0 0 0  0 0 0 0 0  0 4 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 0 0  0  8 0 0  0 0  8 2 2 0  0  8 0 0 0  0  0 0 0 0  0  0 0 0 0  0 2 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 4  8 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0  0 0 0
...............o ...............o ...............o ...............o      | * * * * * * * * * * * * * * * 2  0 0 0  0  0  0 0 0 0  0  0  0 4 0  0  0  0 0 0  0 0 0 0 0 0  0 0 0 0 0  0 0 4 0 0  0 0 0  0 0 0 0  0 0 4 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  8  8 2 0  0  0 0 0  0 0  0 0 0 0  0  0 0 0 0  0  0 0 0 0  0  8 2 0 0  0 0 0 0  0 0 0 0 2  0 0  0  0 0  0 0 0 0  0 0 |  0 0 0  0 0 0 0 0 0 0 0  8 4 4 0  0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0  0 0 0
-------------------------------------------------------------------------+---------------------------------+-------------------------------------------------------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------------------------------------------------------------------
................ ................ x............... ................      | 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 * *  *  *  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * * * *  * * * *  *  * * *  * * * * | 0  0  0 0  0  0 0 2 2  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 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 2 2 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
oo.............. oo.............. oo.............. oo..............&#x   | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 8 *  *  *  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * * * *  * * * *  *  * * *  * * * * | 1  2  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 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 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
o.o............. o.o............. o.o............. o.o.............&#x   | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 8  *  *  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * * * *  * * * *  *  * * *  * * * * | 1  0  2 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 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 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  0 0 0
o...o........... o...o........... o...o........... o...o...........&#x   | 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * * 16  *  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * * * *  * * * *  *  * * *  * * * * | 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 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 0 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
o....o.......... o....o.......... o....o.......... o....o..........&#x   | 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | * * *  * 16  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * * * *  * * * *  *  * * *  * * * * | 0  1  0 0  0  1 1 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  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 0  0 0 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
o......o........ o......o........ o......o........ o......o........&#x   | 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | * * *  *  * 16 * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * * * *  * * * *  *  * * *  * * * * | 0  0  0 0  1  0 0 0 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 0 0 0  0 0 0 0  0 0 0 0 0  0 0  0  0 0  0 0 0 0  0 0 |  1 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 0 0 0 0 0  0 0 0
o............o.. o............o.. o............o.. o............o..&#x   | 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | * * *  *  *  * 8 * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * * * *  * * * *  *  * * *  * * * * | 0  0  0 0  0  2 0 0 0  0  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 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  2 1 0 0 2 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
................ .x.............. ................ ................      | 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * *  *  *  * * 4 *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * * * *  * * * *  *  * * *  * * * * | 0  0  0 0  0  0 0 0 0  0  0 0  0 0 2  0 0 2  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 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 2  0 0 2 0  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  0 0 0
.oo............. .oo............. .oo............. .oo.............&#x   | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * *  *  *  * * * 8  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * * * *  * * * *  *  * * *  * * * * | 1  0  0 0  0  0 0 0 0  0  0 0  2 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 0  0 0 0 0 0  0 0  0  0 0  0 0 0 0  0 0 |  2 0 0  0 0 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
.o.o............ .o.o............ .o.o............ .o.o............&#x   | 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * *  *  *  * * * * 16  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * * * *  * * * *  *  * * *  * * * * | 0  0  0 0  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 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 |  1 0 0  0 0 0 0 0 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
.o...o.......... .o...o.......... .o...o.......... .o...o..........&#x   | 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | * * *  *  *  * * * *  * 16  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * * * *  * * * *  *  * * *  * * * * | 0  1  0 0  0  0 0 0 0  0  0 0  0 0 0  0 1 0  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 0 0 0  0 0  0  0 0  0 0 0 0  0 0 |  1 1 0  0 0 0 0 0 0 0 0  1 1 0 0  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  0 0 0
.o......o....... .o......o....... .o......o....... .o......o.......&#x   | 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | * * *  *  *  * * * *  *  * 16 * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * * * *  * * * *  *  * * *  * * * * | 0  0  0 0  0  0 0 0 0  0  0 0  0 0 0  1 0 1  1  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 0 0  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 1  1 0 1 0  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  0 0 0
.o.............o .o.............o .o.............o .o.............o&#x   | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | * * *  *  *  * * * *  *  *  * 8 *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * * * *  * * * *  *  * * *  * * * * | 0  0  0 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 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  2 2 1 0  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  0 0 0
................ ................ ................ ..x.............      | 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * *  *  *  * * * *  *  *  * * 4  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * * * *  * * * *  *  * * *  * * * * | 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  0 2  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  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 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0  0 0 0
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.....x.......... ................ ................ ................      | 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 | * * *  *  *  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * 4 *  * * * * *  * * *  * * * *  * * * *  *  * * *  * * * * | 0  0  0 0  0  0 2 0 0  0  0 0  0 0 0  0 2 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 0 0  0 0 0 0  0 0 0 0 0  0 0  0  0 0  0 0 0 0  0 0 |  0 2 0  0 0 1 0 0 0 0 0  0 2 0 0  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  0 0 0
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.....o....o..... .....o....o..... .....o....o..... .....o....o.....&#x   | 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 | * * *  *  *  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * 8 * * *  * * *  * * * *  * * * *  *  * * *  * * * * | 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  0  0 0 1 0  2  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 0 0  0 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 0 0 0  0 0 0
.....o.........o .....o.........o .....o.........o .....o.........o&#x   | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 | * * *  *  *  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * 8 * *  * * *  * * * *  * * * *  *  * * *  * * * * | 0  0  0 0  0  0 0 0 0  0  0 0  0 0 0  0 0 0  0  2  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 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  2 2 0 0  0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0  0 0 0
................ ......x......... ................ ................      | 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 | * * *  *  *  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * 4 *  * * *  * * * *  * * * *  *  * * *  * * * * | 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 2  0  0 0 0 0  0  0 0 0 0  0  0 0 2 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  0 0 0 0  0 0 0 0 2 2 0 0 0 0 1 0 0 0 0 0 0  0 0 0
......o..o...... ......o..o...... ......o..o...... ......o..o......&#x   | 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 | * * *  *  *  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * 8  * * *  * * * *  * * * *  *  * * *  * * * * | 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 1 0  0  0 0 0 0  0  0 0 0 0  2 0 0 0  0 0 0 0 0  0 0  0  0 0  0 0 0 0  0 0 |  2 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 0 0 0 0 0  0 0 0
......o....o.... ......o....o.... ......o....o.... ......o....o....&#x   | 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 | * * *  *  *  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * * 16 * *  * * * *  * * * *  *  * * *  * * * * | 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  0 0 0 0  0  0 0 0 0  0  0 0 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 0 0 0 0 0  0 0 0 0  0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0  0 0 0
......o.......o. ......o.......o. ......o.......o. ......o.......o.&#x   | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 | * * *  *  *  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * 8 *  * * * *  * * * *  *  * * *  * * * * | 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 0 0 0  0  1 0 0 0  0  0 0 0 0  0  0 0 0 0  0 2 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  2 0 0 1 0 2 0 0 0 0 0 0 0 0 0 0 0  0 0 0
................ ................ ................ .......x........      | 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 | * * *  *  *  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * 4  * * * *  * * * *  *  * * *  * * * * | 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 2  0  0 0 0 0  0  0 0 0 0  0 0 0 2  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  0 0 0 0 0 0 2 2 0 0 0 0 1 0 0 0 0  0 0 0
.......o.o...... .......o.o...... .......o.o...... .......o.o......&#x   | 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 | * * *  *  *  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * * 16 * * *  * * * *  *  * * *  * * * * | 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  1  0 0 0 0  0  0 0 0 0  0 0 1 1  1 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 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0  0 0 0
.......o..o..... .......o..o..... .......o..o..... .......o..o.....&#x   | 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 | * * *  *  *  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * 8 * *  * * * *  *  * * *  * * * * | 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  0  0 0 1 0  0  0 0 0 0  0 0 0 0  2 0 0 0 0  0 0  0  0 0  0 0 0 0  0 0 |  2 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 0 0 0  0 0 0
.......o.....o.. .......o.....o.. .......o.....o.. .......o.....o..&#x   | 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 | * * *  *  *  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * * 8 *  * * * *  *  * * *  * * * * | 0  0  0 0  0  0 0 0 0  0  2 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 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 0 0  2 0 0 0 1 0 0 0  0 0 0 0  0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0  0 0 0
................ ................ ........x....... ................      | 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 | * * *  *  *  * * * *  *  *  * * *  *  *  * * *  * * * * * *  * * * * *  * * * * *  * * *  * * * 4  * * * *  *  * * *  * * * * | 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  0  0 0 0 2  0  0 0 0 0  0 0 0 0  0 0 0 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 0 0  0 0 0 0 0 0 0 0 2 2 0 0 0 0 1 0 0  0 0 0
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