Movatterモバイル変換

o4o   x4o                  o4x   o4o

Incidence matrix according toDynkin symbol

pt|| pseudosquap|| pt   → both heights = sqrt[(4-sqrt(2))/8] = 0.5685271 * * | 8 0 0 0 | 8 8 0 0 0 0 | 2 8 0 0  verf:squap* 8 * | 1 2 2 1 | 2 2 1 3 2 2 | 1 3 1 3* *1 | 0 0 0 8 | 0 0 0 0 8 8 | 0 0 2 8  verf:squap------+---------+-------------+--------1 1 0 | 8 * * * | 2 2 0 0 0 0 | 1 3 0 00 2 0 | * 8 * * | 1 0 1 1 1 0 | 1 1 1 10 2 0 | * * 8 * | 0 1 0 2 0 1 | 0 2 0 20 1 1 | * * * 8 | 0 0 0 0 2 2 | 0 0 1 3------+---------+-------------+--------1 2 0 | 2 1 0 0 | 8 * * * * * | 1 1 0 01 2 0 | 2 0 1 0 | * 8 * * * * | 0 2 0 00 4 0 | 0 4 0 0 | * * 2 * * * | 1 0 1 0  {4}0 3 0 | 0 1 2 0 | * * * 8 * * | 0 1 0 10 2 1 | 0 1 0 2 | * * * * 8 * | 0 0 1 10 2 1 | 0 0 1 2 | * * * * * 8 | 0 0 0 2------+---------+-------------+--------1 4 0 | 4 4 0 0 | 4 0 1 0 0 0 | 2 * * *squippy1 3 0 | 3 1 2 0 | 1 2 0 1 0 0 | * 8 * *tet0 4 1 | 0 4 0 4 | 0 0 1 0 4 0 | * * 2 *squippy0 3 1 | 0 1 2 3 | 0 0 0 1 1 2 | * * * 8tet

ox4oo&#x|| oo4xo&#x   → height = sqrt[sqrt(8)-1]/2 = 0.676097squippy|| inv gyrosquippyo.4o.      .. ..    | 1 * * *♦ 4 4 0 0 0 0 0 | 4 4 8 0 0 0 0 0 0 0 | 1 1 4 4 0 0 0 0.o4.o      .. ..    | * 4 * * | 1 0 2 2 1 0 0 | 2 0 2 1 2 2 1 2 0 0 | 1 0 2 1 1 2 1 0.. ..      o.4o.    | * * 4 * | 0 1 0 2 0 2 1 | 0 2 2 0 1 0 2 2 1 2 | 0 1 1 2 0 1 2 1.. ..      .o4.o    | * * * 1♦ 0 0 0 0 4 0 4 | 0 0 0 0 0 4 0 8 0 4 | 0 0 0 0 1 4 4 1--------------------+---------+---------------+---------------------+----------------oo4oo&#x   .. ..    | 1 1 0 0 | 4 * * * * * * | 2 0 2 0 0 0 0 0 0 0 | 1 0 2 1 0 0 0 0o.4o.|| o.4o.    | 1 0 1 0 | * 4 * * * * * | 0 2 2 0 0 0 0 0 0 0 | 0 1 1 2 0 0 0 0.x ..      .. ..    | 0 2 0 0 | * * 4 * * * * | 1 0 0 1 1 1 0 0 0 0 | 1 0 1 0 1 1 0 0.o4.o|| o.4o.    | 0 1 1 0 | * * * 8 * * * | 0 0 1 0 1 0 1 1 0 0 | 0 0 1 1 0 1 1 0.o4.o|| .o4.o    | 0 1 0 1 | * * * * 4 * * | 0 0 0 0 0 2 0 2 0 0 | 0 0 0 0 1 2 1 0.. ..      .. x.    | 0 0 2 0 | * * * * * 4 * | 0 1 0 0 0 0 1 0 0 2 | 0 1 0 1 0 0 1 1.. ..      oo4oo&#x | 0 0 1 1 | * * * * * * 4 | 0 0 0 0 0 0 0 2 1 1 | 0 0 0 0 0 1 2 1--------------------+---------+---------------+---------------------+----------------ox ..&#x   .. ..    | 1 2 0 0 | 2 0 1 0 0 0 0 | 4 * * * * * * * * * | 1 0 1 0 0 0 0 0o.4o.|| .. x.    | 1 0 2 0 | 0 2 0 0 0 1 0 | * 4 * * * * * * * * | 0 1 0 1 0 0 0 0oo4oo&#x|| o.4o.    | 1 1 1 0 | 1 1 0 1 0 0 0 | * * 8 * * * * * * * | 0 0 1 1 0 0 0 0.x4.o      .. ..    | 0 4 0 0 | 0 0 4 0 0 0 0 | * * * 1 * * * * * * | 1 0 0 0 1 0 0 0.x ..|| o.4o.    | 0 2 1 0 | 0 0 1 2 0 0 0 | * * * * 4 * * * * * | 0 0 1 0 0 1 0 0.x ..|| .o4.o    | 0 2 0 1 | 0 0 1 0 2 0 0 | * * * * * 4 * * * * | 0 0 0 0 1 1 0 0.o4.o|| .. x.    | 0 1 2 0 | 0 0 0 2 0 1 0 | * * * * * * 4 * * * | 0 0 0 1 0 0 1 0.o4.o|| oo4oo&#x | 0 1 1 1 | 0 0 0 1 1 0 1 | * * * * * * * 8 * * | 0 0 0 0 0 1 1 0.. ..      o.4x.    | 0 0 4 0 | 0 0 0 0 0 0 4 | * * * * * * * * 1 * | 0 1 0 0 0 0 0 1.. ..      .. xo&#x | 0 0 2 1 | 0 0 0 0 0 2 1 | * * * * * * * * * 4 | 0 0 0 0 0 0 1 1--------------------+---------+---------------+---------------------+----------------ox4oo&#x   .. ..♦ 1 4 0 0 | 4 0 4 0 0 0 0 | 4 0 0 1 0 0 0 0 0 0 |1 * * * * * * *o.4o.|| o.4x.♦ 1 0 4 0 | 0 4 0 0 0 4 0 | 0 4 0 0 0 0 0 0 1 0 | * 1 * * * * * *ox ..&#x|| o.4o.♦ 1 2 1 0 | 2 1 1 2 0 0 0 | 1 0 2 0 1 0 0 0 0 0 | * * 4 * * * * *oo4oo&#x|| .. x.♦ 1 1 2 0 | 1 2 0 2 0 1 0 | 0 1 2 0 0 0 1 0 0 0 | * * * 4 * * * *.x4.o|| .o4.o♦ 0 4 0 1 | 0 0 4 0 4 0 0 | 0 0 0 1 0 4 0 0 0 0 | * * * * 1 * * *.x ..|| oo4oo&#x♦ 0 2 1 1 | 0 0 1 2 2 0 1 | 0 0 0 0 1 1 0 2 0 0 | * * * * * 4 * *. o4.o|| .. xo&#x♦ 0 1 2 1 | 0 0 0 2 1 1 2 | 0 0 0 0 0 0 1 2 0 1 | * * * * * * 4 *..  ..     oo4xo&#x♦ 0 0 4 1 | 0 0 0 0 0 4 4 | 0 0 0 0 0 0 0 0 1 4 | * * * * * * *1

oxoo4ooox&#xr     → all heights = 1/sqrt(2) = 0.707107(pt|| pseudo({4}|| dual {4})|| pt)o...4o...    |1 * * *♦ 4 4 0 0 0 0 0 | 4 8 4 0 0 0 0 0 0 0 | 1 1 4 4 0 0 0 0.o..4.o..    | * 4 * * | 1 0 2 1 2 0 0 | 2 2 0 1 2 2 1 2 0 0 | 1 0 2 1 1 2 1 0..o.4..o.    | * *1 *♦ 0 0 0 4 0 4 0 | 0 0 0 0 4 0 0 8 4 0 | 0 0 0 0 1 4 4 1...o4...o    | * * * 4 | 0 1 0 0 2 1 2 | 0 2 2 0 0 1 2 2 2 1 | 0 1 1 2 0 1 2 1-------------+---------+---------------+---------------------+----------------oo..4oo..&#x | 1 1 0 0 | 4 * * * * * * | 2 2 0 0 0 0 0 0 0 0 | 1 0 2 1 0 0 0 0o..o4o..o&#x | 1 0 0 1 | * 4 * * * * * | 0 2 2 0 0 0 0 0 0 0 | 0 1 1 2 0 0 0 0.x.. ....    | 0 2 0 0 | * * 4 * * * * | 1 0 0 1 1 1 0 0 0 0 | 1 0 1 0 1 1 0 0.oo.4.oo.&#x | 0 1 1 0 | * * * 4 * * * | 0 0 0 0 2 0 0 2 0 0 | 0 0 0 0 1 2 1 0.o.o4.o.o&#x | 0 1 0 1 | * * * * 8 * * | 0 1 0 0 0 1 1 1 0 0 | 0 0 1 1 0 1 1 0..oo4..oo&#x | 0 0 1 1 | * * * * * 4 * | 0 0 0 0 0 0 0 2 2 0 | 0 0 0 0 0 1 2 1.... ...x    | 0 0 0 2 | * * * * * * 4 | 0 0 1 0 0 0 1 0 1 1 | 0 1 0 1 0 0 1 1-------------+---------+---------------+---------------------+----------------ox.. ....&#x | 1 2 0 0 | 2 0 1 0 0 0 0 | 4 * * * * * * * * * | 1 0 1 0 0 0 0 0oo.o4oo.o&#x | 1 1 0 1 | 1 1 0 0 1 0 0 | * 8 * * * * * * * * | 0 0 1 1 0 0 0 0.... o..x&#x | 1 0 0 2 | 0 2 0 0 0 0 1 | * * 4 * * * * * * * | 0 1 0 1 0 0 0 0.x..4.o..    | 0 4 0 0 | 0 0 4 0 0 0 0 | * * * 1 * * * * * * | 1 0 0 0 1 0 0 0.xo. ....&#x | 0 2 1 0 | 0 0 1 2 0 0 0 | * * * * 4 * * * * * | 0 0 0 0 1 1 0 0.x.o ....&#x | 0 2 0 1 | 0 0 1 0 2 0 0 | * * * * * 4 * * * * | 0 0 1 0 0 1 0 0.... .o.x&#x | 0 1 0 2 | 0 0 0 0 2 0 1 | * * * * * * 4 * * * | 0 0 0 1 0 0 1 0.ooo4.ooo&#x | 0 1 1 1 | 0 0 0 1 1 1 0 | * * * * * * * 8 * * | 0 0 0 0 0 1 1 0.... ..ox&#x | 0 0 1 2 | 0 0 0 0 0 2 1 | * * * * * * * * 4 * | 0 0 0 0 0 0 1 1...o4...x    | 0 0 0 4 | 0 0 0 0 0 0 4 | * * * * * * * * * 1 | 0 1 0 0 0 0 0 1-------------+---------+---------------+---------------------+----------------ox..4oo..&#x♦ 1 4 0 0 | 4 0 4 0 0 0 0 | 4 0 0 1 0 0 0 0 0 0 | 1 * * * * * * *o..o4o..x&#x♦ 1 0 0 4 | 0 4 0 0 0 0 4 | 0 0 4 0 0 0 0 0 0 1 | * 1 * * * * * *ox.o ....&#x♦ 1 2 0 1 | 2 1 1 0 2 0 0 | 1 2 0 0 0 1 0 0 0 0 | * * 4 * * * * *.... oo.x&#x♦ 1 1 0 2 | 1 2 0 0 2 0 1 | 0 2 1 0 0 0 1 0 0 0 | * * * 4 * * * *.xo.4.oo.&#x♦ 0 4 1 0 | 0 0 4 4 0 0 0 | 0 0 0 1 4 0 0 0 0 0 | * * * * 1 * * *.xoo ....&#x♦ 0 2 1 1 | 0 0 1 2 2 1 0 | 0 0 0 0 1 1 0 2 0 0 | * * * * * 4 * *.... .oox&#x♦ 0 1 1 2 | 0 0 0 1 2 2 1 | 0 0 0 0 0 0 1 2 1 0 | * * * * * * 4 *..oo4..ox&#x♦ 0 0 1 4 | 0 0 0 0 0 4 4 | 0 0 0 0 0 0 0 0 4 1 | * * * * * * * 1

xoo4oox oyo&#xt   → both heights = 1/sqrt(sqrt(32)) = 0.420448({4}|| perp y-line|| dual {4})   y = sqrt[(4-sqrt(2))/2] = 1.137055o..4o.. o..     | 4 * * | 2 2 2 0 0 | 1 4 2 1  4 0 0 | 2 4 2 0.o.4.o. .o.     | * 2 *♦ 0 4 0 4 0 | 0 4 0 0  8 4 0 | 1 4 4 1..o4..o ..o     | * * 4 | 0 0 2 2 2 | 0 0 1 2  4 4 1 | 0 2 4 2----------------+-------+-----------+----------------+--------x.. ... ...     | 2 0 0 | 4 * * * * | 1 2 1 0  0 0 0 | 2 2 0 0oo.4oo. oo.&#x  | 1 1 0 | * 8 * * * | 0 2 0 0  2 0 0 | 1 2 1 0o.o4o.o o.o&#x  | 1 0 1 | * * 8 * * | 0 0 1 1  2 0 0 | 0 2 2 0.oo4.oo .oo&#x  | 0 1 1 | * * * 8 * | 0 0 0 0  2 2 0 | 0 1 2 1... ..x ...     | 0 0 2 | * * * * 4 | 0 0 0 1  0 2 1 | 0 0 2 2----------------+-------+-----------+----------------+--------x..4o.. ...     | 4 0 0 | 4 0 0 0 0 |1 * * *  * * * | 2 0 0 0xo. ... ...&#x  | 2 1 0 | 1 2 0 0 0 | * 8 * *  * * * | 1 1 0 0x.o ... ...&#x  | 2 0 1 | 1 0 2 0 0 | * * 4 *  * * * | 0 2 0 0... o.x ...&#x  | 1 0 2 | 0 0 2 0 1 | * * * 4  * * * | 0 0 2 0ooo4ooo ooo&#xt | 1 1 1 | 0 1 1 1 0 | * * * * 16 * * | 0 1 1 0... .ox ...&#x  | 0 1 2 | 0 0 0 2 1 | * * * *  * 8 * | 0 0 1 1..o4..x ...     | 0 0 4 | 0 0 0 0 4 | * * * *  * *1 | 0 0 0 2----------------+-------+-----------+----------------+--------xo.4oo. ...&#x♦ 4 1 0 | 4 4 0 0 0 | 1 4 0 0  0 0 0 | 2 * * *xoo ... ...&#xt♦ 2 1 1 | 1 2 2 1 0 | 0 1 1 0  2 0 0 | * 8 * *... oox ...&#xt♦ 1 1 2 | 0 1 2 2 1 | 0 0 0 1  2 1 0 | * * 8 *.oo4.ox ...&#x♦ 0 1 4 | 0 0 0 4 4 | 0 0 0 0  0 4 1 | * * * 2

yo os2os8os&#zx   → height = 0(tegum sum of y-line and perpsquap)   y = sqrt[(4-sqrt(2))/2] = 1.137055(tegum product of y-line withsquap)o. demi( o.2o.8o. )    | 2 *♦  8 0 0 |  8  8 0 0 | 2  8.o demi( .o2.o8.o )    | * 8 |  2 2 2 |  4  4 1 3 | 2  6-----------------------+-----+--------+-----------+-----oo demi( oo2oo8oo )&#x | 1 1 | 16 * * |  2  2 0 0 | 1  3..       .s2.s ..      | 0 2 |  * 8 * |  2  0 0 2 | 0  4.. sefa( .. .s8.s )    | 0 2 |  * * 8 |  0  2 1 1 | 2  2-----------------------+-----+--------+-----------+-----oo       os2os ..  &#x | 1 2 |  2 1 0 | 16  * * * | 0  2oo sefa( .. os8os )&#x | 1 2 |  2 0 1 |  * 16 * * | 1  1..       .. .s8.s      | 0 4 |  0 0 4 |  *  * 2 * | 2  0.. sefa( .s2.s8.s )    | 0 3 |  0 2 1 |  *  * * 8 | 0  2-----------------------+-----+--------+-----------+-----oo       .. os8os  &#x♦ 1 4 |  4 0 4 |  0  4 1 0 | 4  *oo sefa( os2os8os )&#x♦ 1 3 |  3 2 1 |  2  1 0 1 | * 16