Tipi Base Connector

To stabilize my kid's tipi I wanted to add wooden pins.
So I designed these 3 connectors for a pentagon-based tipi (5 rods).

The vertical rods are 20mm in diameter (length as you wish, something like 2m)
The base rods are 18mm in diameter and 83cm long in my case.

Must print 3 T-type connectors and 2 L-type connectors (one left, LL and one right, LR).
The reason being that there is an angle allowing the rods to twist and not meet all at the tip of the tipi.