Monsey Cheder prohibits 4 and 6 part Kipot???

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In a note to parents, made to look like the child is writing to his mother, 
it reads:
(loosely translated)
Dear Mommy,
Please send me to school with a regular yarlmulka, please no stiff  6 "slice" (part) and certainly no 4 "slice" yarmulka.
Because I want a kipa like the other children,
It is more appropriate for my sweet head.
Your sweet Tzadikal