I'll start with cyclic and Dihedral. But since I didn't just want pictures of ceiling fans and rims I thought this was a good trivet to start with. C16 (16 hops around the outside) 

Stop! its a D8 

D2 

D2 

tiles are D6 

A D8 with a lil' spiral action at the top 

The ink blot hops. What do you see? 

hop 

a hop that is almost a step 

hop on top, step underneath 

on dasher, on dancer... 

guilded steps 

Step 

step 

I'll catch you someday! says she. Not if I catch you first! he responds 

THe sidle spin impression is ruined by the over under weave resulting steps only 

I've found my hand twin! 

very lovely 

step in whicker 

step braid close up 

Despite all her killer instincts, she always felt as if she was being held back; as though she was bump'n her head against a glass ceiling. 

this shower is friezing 

Step right this way. Jump on board! 

this tree has frogs (jump, jump, jump) 

sidle by the ceiling