Acronym squasquippy
Name square-squippy duoprism,
squippyp prism
|,>,O device line prism pyramid prism prism = ||>||
Circumradius 1
Lace city
in approx. ASCII-art
     o x x     		--  o4o x4o ({4}))
               
               
               
               
x x x     x x x		-- x4o x4o (tes)
Confer
uniform relative:
squoct  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

ox4oo xx4oo&#x   → height = 1/sqrt(2) = 0.707107
({4} || tes)

o.4o. o.4o.    | 4  * | 2  4  0  0 | 1  4  8 0  0 0 | 1  8 4 0 0 | 2 4 0
.o4.o .o4.o    | * 16 | 0  1  2  2 | 0  2  2 1  4 1 | 1  4 1 2 2 | 2 2 1
---------------+------+------------+----------------+------------+------
.. .. x. ..    | 2  0 | 4  *  *  * | 1  0  4 0  0 0 | 0  4 4 0 0 | 1 4 0
oo4oo oo4oo&#x | 1  1 | * 16  *  * | 0  2  2 0  0 0 | 1  4 1 0 0 | 2 2 0
.x .. .. ..    | 0  2 | *  * 16  * | 0  1  0 1  2 0 | 1  2 0 2 1 | 2 1 1
.. .. .x ..    | 0  2 | *  *  * 16 | 0  0  1 0  2 1 | 0  2 1 1 2 | 1 2 1
---------------+------+------------+----------------+------------+------
.. .. x.4o.    | 4  0 | 4  0  0  0 | 1  *  * *  * * | 0  0 4 0 0 | 0 4 0
ox .. .. ..&#x | 1  2 | 0  2  1  0 | * 16  * *  * * | 1  2 0 0 0 | 2 1 0
.. .. xx ..&#x | 2  2 | 1  2  0  1 | *  * 16 *  * * | 0  2 1 0 0 | 1 2 0
.x4.o .. ..    | 0  4 | 0  0  4  0 | *  *  * 4  * * | 1  0 0 2 0 | 2 0 1
.x .. .x ..    | 0  4 | 0  0  2  2 | *  *  * * 16 * | 0  1 0 1 1 | 1 1 1
.. .. .x4.o    | 0  4 | 0  0  0  4 | *  *  * *  * 4 | 0  0 1 0 2 | 0 2 1
---------------+------+------------+----------------+------------+------
ox4oo .. ..&#x  1  4 | 0  4  4  0 | 0  4  0 1  0 0 | 4  * * * * | 2 0 0
ox .. xx ..&#x  2  4 | 1  4  2  2 | 0  2  2 0  1 0 | * 16 * * * | 1 1 0
.. .. xx4oo&#x  4  4 | 4  4  0  4 | 1  0  4 0  0 1 | *  * 4 * * | 0 2 0
.x4.o .x ..     0  8 | 0  0  8  4 | 0  0  0 2  4 0 | *  * * 4 * | 1 0 1
.x .. .x4.o     0  8 | 0  0  4  8 | 0  0  0 0  4 2 | *  * * * 4 | 0 1 1
---------------+------+------------+----------------+------------+------
ox4oo xx ..&#x  2  8 | 1  8  8  4 | 0  8  4 2  4 0 | 2  4 0 1 0 | 4 * *
ox .. xx4oo&#x  4  8 | 4  8  4  8 | 1  4  8 0  4 2 | 0  4 2 0 1 | * 4 *
.x4.o .x4.o     0 16 | 0  0 16 16 | 0  0  0 4 16 4 | 0  0 0 4 4 | * * 1

ox ox xx xx&#x   → height = 1/sqrt(2) = 0.707107
({4} || tes)

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

oxx xxx xxx&#x   → height(1,2) = height(1,3) = sqrt(3)/2 = 0.866025
                   height(2,3) = 1

o.. o.. o..    | 4 * * | 1 1 2 2 0 0 0 0 0 0 0 | 1 1 2 2 1 2 2 2 0 0 0 0 0 0 0 0 0 | 1 1 2 1 1 2 1 2 2 0 0 0 0 0 | 1 1 1 1 2 0
.o. .o. .o.    | * 8 * | 0 0 1 0 1 1 1 1 0 0 0 | 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 1 1 1 1 0 | 1 0 1 1 1 1
..o ..o ..o    | * * 8 | 0 0 0 1 0 0 0 1 1 1 1 | 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 | 0 0 0 1 1 1 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1
---------------+-------+-----------------------+-----------------------------------+-----------------------------+------------
... x.. ...    | 2 0 0 | 2 * * * * * * * * * * | 1 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | 1 0 2 1 0 2 0 2 0 0 0 0 0 0 | 1 1 1 0 2 0
... ... x..    | 2 0 0 | * 2 * * * * * * * * * | 1 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 | 0 1 2 0 1 2 0 0 2 0 0 0 0 0 | 1 1 0 1 2 0
oo. oo. oo.&#x | 1 1 0 | * * 8 * * * * * * * * | 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 1 1 1 0 0 0 0 0 | 1 0 1 1 1 0
o.o o.o o.o&#x | 1 0 1 | * * * 8 * * * * * * * | 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 | 0 0 0 1 1 1 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0
.x. ... ...    | 0 2 0 | * * * * 4 * * * * * * | 0 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 | 1 1 0 0 0 0 1 0 0 1 1 1 0 0 | 1 0 1 1 0 1
... .x. ...    | 0 2 0 | * * * * * 4 * * * * * | 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 0 0 0 0 1 0 1 1 0 1 0 | 1 0 1 0 1 1
... ... .x.    | 0 2 0 | * * * * * * 4 * * * * | 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 | 0 1 1 0 0 0 0 0 1 1 0 1 1 0 | 1 0 0 1 1 1
.oo .oo .oo&#x | 0 1 1 | * * * * * * * 8 * * * | 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 | 0 0 0 0 0 0 1 1 1 0 1 1 1 0 | 0 0 1 1 1 1
..x ... ...    | 0 0 2 | * * * * * * * * 4 * * | 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 0 1 1 0 1 0 0 0 1 1 0 1 | 0 1 1 1 0 1
... ..x ...    | 0 0 2 | * * * * * * * * * 4 * | 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 | 0 0 0 1 0 1 0 1 0 0 1 0 1 1 | 0 1 1 0 1 1
... ... ..x    | 0 0 2 | * * * * * * * * * * 4 | 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 | 0 0 0 0 1 1 0 0 1 0 0 1 1 1 | 0 1 0 1 1 1
---------------+-------+-----------------------+-----------------------------------+-----------------------------+------------
... x.. x..    | 4 0 0 | 2 2 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * | 0 0 2 0 0 2 0 0 0 0 0 0 0 0 | 1 1 0 0 2 0
ox. ... ...&#x | 1 2 0 | 0 0 2 0 1 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * * * | 1 1 0 0 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
... xx. ...&#x | 2 2 0 | 1 0 2 0 0 1 0 0 0 0 0 | * * 4 * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0
... ... xx.&#x | 2 2 0 | 0 1 2 0 0 0 1 0 0 0 0 | * * * 4 * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0
o.x ... ...&#x | 1 0 2 | 0 0 0 2 0 0 0 0 1 0 0 | * * * * 4 * * * * * * * * * * * * | 0 0 0 1 1 0 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
... x.x ...&#x | 2 0 2 | 1 0 0 2 0 0 0 0 0 1 0 | * * * * * 4 * * * * * * * * * * * | 0 0 0 1 0 1 0 1 0 0 0 0 0 0 | 0 1 1 0 1 0
... ... x.x&#x | 2 0 2 | 0 1 0 2 0 0 0 0 0 0 1 | * * * * * * 4 * * * * * * * * * * | 0 0 0 0 1 1 0 0 1 0 0 0 0 0 | 0 1 0 1 1 0
ooo ooo ooo&#x | 1 1 1 | 0 0 1 1 0 0 0 1 0 0 0 | * * * * * * * 8 * * * * * * * * * | 0 0 0 0 0 0 1 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.x. .x. ...    | 0 4 0 | 0 0 0 0 2 2 0 0 0 0 0 | * * * * * * * * 2 * * * * * * * * | 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 0 1 0 0 1
.x. ... .x.    | 0 4 0 | 0 0 0 0 2 0 2 0 0 0 0 | * * * * * * * * * 2 * * * * * * * | 0 1 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 0 1 0 1
... .x. .x.    | 0 4 0 | 0 0 0 0 0 2 2 0 0 0 0 | * * * * * * * * * * 2 * * * * * * | 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 0 1 1
.xx ... ...&#x | 0 2 2 | 0 0 0 0 1 0 0 2 1 0 0 | * * * * * * * * * * * 4 * * * * * | 0 0 0 0 0 0 1 0 0 0 1 1 0 0 | 0 0 1 1 0 1
... .xx ...&#x | 0 2 2 | 0 0 0 0 0 1 0 2 0 1 0 | * * * * * * * * * * * * 4 * * * * | 0 0 0 0 0 0 0 1 0 0 1 0 1 0 | 0 0 1 0 1 1
... ... .xx&#x | 0 2 2 | 0 0 0 0 0 0 1 2 0 0 1 | * * * * * * * * * * * * * 4 * * * | 0 0 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 0 1 1 1
..x ..x ...    | 0 0 4 | 0 0 0 0 0 0 0 0 2 2 0 | * * * * * * * * * * * * * * 2 * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 | 0 1 1 0 0 1
..x ... ..x    | 0 0 4 | 0 0 0 0 0 0 0 0 2 0 2 | * * * * * * * * * * * * * * * 2 * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 | 0 1 0 1 0 1
... ..x ..x    | 0 0 4 | 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * * * * * 2 | 0 0 0 0 0 1 0 0 0 0 0 0 1 1 | 0 1 0 0 1 1
---------------+-------+-----------------------+-----------------------------------+-----------------------------+------------
ox. xx. ...&#x  2 4 0 | 1 0 4 0 2 2 0 0 0 0 0 | 0 2 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * * * | 1 0 1 0 0 0
ox. ... xx.&#x  2 4 0 | 0 1 4 0 2 0 2 0 0 0 0 | 0 2 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * | 1 0 0 1 0 0
... xx. xx.&#x  4 4 0 | 2 2 4 0 0 2 2 0 0 0 0 | 1 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 | * * 2 * * * * * * * * * * * | 1 0 0 0 1 0
o.x x.x ...&#x  2 0 4 | 1 0 0 4 0 0 0 0 2 2 0 | 0 0 0 0 2 2 0 0 0 0 0 0 0 0 1 0 0 | * * * 2 * * * * * * * * * * | 0 1 1 0 0 0
o.x ... x.x&#x  2 0 4 | 0 1 0 4 0 0 0 0 2 0 2 | 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 1 0 | * * * * 2 * * * * * * * * * | 0 1 0 1 0 0
... x.x x.x&#x  4 0 4 | 2 2 0 4 0 0 0 0 0 2 2 | 1 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 1 | * * * * * 2 * * * * * * * * | 0 1 0 0 1 0
oxx ... ...&#x  1 2 2 | 0 0 2 2 1 0 0 2 1 0 0 | 0 1 0 0 1 0 0 2 0 0 0 1 0 0 0 0 0 | * * * * * * 4 * * * * * * * | 0 0 1 1 0 0
... xxx ...&#x  2 2 2 | 1 0 2 2 0 1 0 2 0 1 0 | 0 0 1 0 0 1 0 2 0 0 0 0 1 0 0 0 0 | * * * * * * * 4 * * * * * * | 0 0 1 0 1 0
... ... xxx&#x  2 2 2 | 0 1 2 2 0 0 1 2 0 0 1 | 0 0 0 1 0 0 1 2 0 0 0 0 0 1 0 0 0 | * * * * * * * * 4 * * * * * | 0 0 0 1 1 0
.x. .x. .x.     0 8 0 | 0 0 0 0 4 4 4 0 0 0 0 | 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 | * * * * * * * * * 1 * * * * | 1 0 0 0 0 1
.xx .xx ...&#x  0 4 4 | 0 0 0 0 2 2 0 4 2 2 0 | 0 0 0 0 0 0 0 0 1 0 0 2 2 0 1 0 0 | * * * * * * * * * * 2 * * * | 0 0 1 0 0 1
.xx ... .xx&#x  0 4 4 | 0 0 0 0 2 0 2 4 2 0 2 | 0 0 0 0 0 0 0 0 0 1 0 2 0 2 0 1 0 | * * * * * * * * * * * 2 * * | 0 0 0 1 0 1
... .xx .xx&#x  0 4 4 | 0 0 0 0 0 2 2 4 0 2 2 | 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 0 1 | * * * * * * * * * * * * 2 * | 0 0 0 0 1 1
..x ..x ..x     0 0 8 | 0 0 0 0 0 0 0 0 4 4 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 | * * * * * * * * * * * * * 1 | 0 1 0 0 0 1
---------------+-------+-----------------------+-----------------------------------+-----------------------------+------------
ox. xx. xx.&#x  4 8 0 | 2 2 8 0 4 4 4 0 0 0 0 | 1 4 4 4 0 0 0 0 2 2 2 0 0 0 0 0 0 | 2 2 2 0 0 0 0 0 0 1 0 0 0 0 | 1 * * * * *
o.x x.x x.x&#x  4 0 8 | 2 2 0 8 0 0 0 0 4 4 4 | 1 0 0 0 4 4 4 0 0 0 0 0 0 0 2 2 2 | 0 0 0 2 2 2 0 0 0 0 0 0 0 1 | * 1 * * * *
oxx xxx ...&#x  2 4 4 | 1 0 4 4 2 2 0 4 2 2 0 | 0 2 2 0 2 2 0 4 1 0 0 2 2 0 1 0 0 | 1 0 0 1 0 0 2 2 0 0 1 0 0 0 | * * 2 * * *
oxx ... xxx&#x  2 4 4 | 0 1 4 4 2 0 2 4 2 0 2 | 0 2 0 2 2 0 2 4 0 1 0 2 0 2 0 1 0 | 0 1 0 0 1 0 2 0 2 0 0 1 0 0 | * * * 2 * *
... xxx xxx&#x  4 4 4 | 2 2 4 4 0 2 2 4 0 2 2 | 1 0 2 2 0 2 2 4 0 0 1 0 2 2 0 0 1 | 0 0 1 0 0 1 0 2 2 0 0 0 1 0 | * * * * 2 *
.xx .xx .xx&#x  0 8 8 | 0 0 0 0 4 4 4 8 4 4 4 | 0 0 0 0 0 0 0 0 2 2 2 4 4 4 2 2 2 | 0 0 0 0 0 0 0 0 0 1 2 2 2 1 | * * * * * 1

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