自
=
丶
+
目
:
Mnemonic symbol: a hand mirror, which someone uses to look at themselves.
The Eye of Providence (目) is looking at itself (自) in a handheld mirror (自) in the space station's bathroom (Ø4). It think it's indeed looking very good, since Zorro (z) attached a petal (丶) to its eye (目).
由
=
丨
+
曰
:
Mnemonic symbol: 自由古巴, a cuba libre. The character 由 itself even looks like a cuba libre.
Maud Younger (y) is taking part in a charity auction in the outhouse's kitchen (ou2). She is auctioning the dinosaur bone (丨) next to her and is speaking into a microphone (曰). In the other hand she is holding a cuba libre (由), and she is already quite drunk.
主
=
丶
+
王
:
Julian Giant Squid (zhu) is playing cards with Martin Luther King (王) in the space station (Ø3). It's Martin Luther King's turn, and he holds a petal (丶) in his hand high above his head: it's his trump card, and on it depicted is the Lord (主) himself.
Justitia (义) and Maud Younger (y) want to fix the shower in the space station's bathroom (Ø4). Just as Justitia is about to grab the shower head with her pliers (乂) she is blinded by a petal leaf (丶) floating about and instead grabs Maud's head with her pliers. This is Maud's just punishment as she broke the shower head in the first place.