240 sectors, further division

<!--

   X     X     X     X     X
  / \   / \   / \   / \   / \
 / A \ / B \ / C \ / D \ / E \
X-----X-----X-----X-----X-----X
 \ F / \ G / \ H / \ I / \ J / \
  \ / K \ / L \ / M \ / N \ / O \
   X-----X-----X-----X-----X-----X
    \ P / \ Q / \ R / \ S / \ T /
     \ /   \ /   \ /   \ /   \ /
      X	    X     X     X     X

+---+---+---+---+
| A | B | C | D |
+---1---+---2---+
| E | F | G | H |
+---+---+---+---+
| J | K | L | M |
+---3---+---4---+
| N | P | Q | R |
+---+---+---+---+

-->

NW NE
SW SE

1 2 3
4 5 6
7 8 9

A B C D E
F G H J K
L M N O P
Q R S T U
V W X Y Z

+--------+--------+--------+--------+--------+
|A1 A2 A3|B1 B2 B3|C1 C2 C3|D1 D2 D3|E1 E2 E3|
|A4 A5 A6|B4 B5 B6|C4 C5 C6|D4 D5 D6|E4 E5 E6|
|A7 A8 A9|B7 B8 B9|C7 C8 C9|D7 D8 D9|E7 E8 E9|
+--------+--------+--------+--------+--------+
|F1 F2 F3|G1 G2 G3|H1 H2 H3|J1 J2 J3|K1 K2 K3|
|F4 F5 F6|G4 G5 G6|H4 H5 H6|J4 J5 J6|K4 K5 K6|
|F7 F8 F9|G7 G8 G9|H7 H8 H9|J7 J8 J9|K7 K8 K9|
+--------+--------+--------+--------+--------+
|L1 L2 L3|M1 M2 M3|N1 N2 N3|O1 O2 O3|P1 P2 P3|
|L4 L5 L6|M4 M5 M6|N4 N5 N6|O4 O5 O6|P4 P5 P6|
|L7 L8 L9|M7 M8 M9|N7 N8 N9|O7 O8 O9|P7 P8 P9|
+--------+--------+--------+--------+--------+
|Q1 Q2 Q3|R1 R2 R3|S1 S2 S3|T1 T2 T3|U1 U2 U3|
|Q4 Q5 Q6|R4 R5 R6|S4 S5 S6|T4 T5 T6|U4 U5 U6|
|Q7 Q8 Q9|R7 R8 R9|S7 S8 S9|T7 T8 T9|U7 U8 U9|
+--------+--------+--------+--------+--------+
|V1 V2 V3|W1 W2 W3|X1 X2 X3|Y1 Y2 Y3|Z1 Z2 Z3|
|V4 V5 V6|W4 W5 W6|X4 X5 X6|Y4 Y5 Y6|Z4 Z5 Z6|
|V7 V8 V9|W7 W8 W9|X7 X8 X9|Y7 Y8 Y9|Z7 Z8 Z9|
+--------+--------+--------+--------+--------+