Custom LED Circuit - Wire Gauge?

[ratdude747]

so if what I am reading is correct my design for a display is legal:

3 displays (Triangle, Circle, Square), each controlled by a spike.

2 have 3.1 v dissipation per LED (red and white), so they will be in 3 strings of 4 (to get approx 12v total). the 3 strands of 4 per display would be spliced into 18 gauge wire. each individual strand would use 22 gauge wire (what we have waay to much of in stock).

the blue would be the same only using 4 strands of 3 (4.x dissipation).

is my design legal or do i need fuses or bigger wire somewhere?