ie., one son sin sip tip tin ten one
A pseudo-anagram is an anagram where all but one letter in a word appears in it's pseudo-anagrammatic partner (or PAP for short), ie., one & son. Create PAP circles in which the PAPs change till the last word in the PAP chain shares no letters with the beginning word in the chain. Then return to the beginning word in the same way.
The words used can include names as long as they are in a dictionary, encyclodepia or atlas (including specialty ones other than foriegn language dictionaries) - also can use internet ones.
Here are two interocking PACs that make a figure-8 shape.
one ton tan tap sap map man men one OR
one son sin sip sap tap tip tin ten one
(note my two lists can meet in the middle)
Can you make other PACs with one, or with other words ?
What is the greatest number of letters you can have in your base word ?
In what other ways than in the example above can you make PACs intersect ?
Can you also make them so that in each pair of words within the PAC the common letters are in different positions in each word?

Here's one.
Skink Skunk Stunk Stank Spank Spark Stark Stare Snare Snore Store Stare Spare Spark Shark Shank Slank Slink Skink (notice mine meets twice in the middle.)
SKINKS, SKUNKS & SHARKS
Thanks Brian, never thought of skinks, sharks, and skunks together in a smelly, sparky world.
Your list holds the first letter constant. I wonder if you can do one where the letters change from right to left and then reverse.
ie., ran rap rip zip tip tap tan ran
Can you make another PAP that contains only one of the words above (especially for starting & finishing.
I must admit I'm getting fascinated in ways you can mix geometric structures with words.
A new one:
Dead Bead Beat Boat Bolt Colt Celt Cell Sell Seal Deal Dead
Hmmmmm...
So basically a dead-beat Celt is sailing a boat to get to a place where he'll meet a seal dealing beads that will be sold to the Celt for a Mitsubishi Colt and the bolt for a prison-cell lock.
Another 12-letter dead one:
Dead Mead Meat Melt Felt Fell Fall Tall Tell Teal Deal Dead
And here's a 13-letter one:
Dead Deed Deer Peer Pier Pies Lies Ties Teas Teak Leak Lead Dead
Here's one about a duck:
Duck Luck Lack Tack Tank Sank Sand Band Bank Bunk Dunk Duck
I'm surprised that Nick and
I'm surprised that Nick and I are the only ones doing this challenge.
WHAT THEY SOUND LIKE
Have you said your PACs aloud? The PAPs either flow really easy, with an equal 'sound steps' between every pair (ie., DEAD, MEAD, MEAL) or there are obvious 'sound-breaks' between words, (ie., COLT CELT CELL SELL SEAL). And I always get tripped up at BOAT BOLT in the first one.
Great sentence after your first one. I can see some great tongue twisters here. An addition to the challenge could be to use all the words in your PAP in a (very) short story.
I don't think you can say that you and I are doing the challenge - at present, its only you !
But you are inspiring me. I am fascinated by abstract structure & I can see here possible ways of relating structures to poetry. & I want to try some absurd anarchy like in your homework list. (But I'm too busy writing a 30 minute tragedy involving sibling conflict between two brothers, aged 8 and 6.)
FIVE-LETTER WORDS PAC
bored bores bones tones tunes tunas Tunis tunic Punic panic manic manis manes canes caned cared bared bored
I have allowed for names as long as they are in a dictionary, atlas or encyclopedia (incl. specialist ones & online). However, they should be explained - TUNIS (in Tunisia), PUNIC (Wars, 3rd & 2nd Cent. BC), and MANIS (mammals - Pangolins are a type of anteater) (there is also Canis - jackals, dingos, coyotes etc.).
MANES is (pl.) deified souls of the departed ancestors (sing.) shade of departed person as object of reverence (is shade meant to be 'shape'?)
Your turn to find a 5-letter PAC Brian.