Scarlet kimono is in Poirot's suitcase

The fake conductor and the woman in the red kimono might be the same person

Ratchett did not speak French, but the voice that told the conductor to go away spoke in French

Armstrong Connections

Mary Debenham was the Countess's teacher in New York

The handkerchief found in Ratchett's room belongs to the princess

The murder was planned to look like an outside job but was in fact done by a passenger

Every person who wrote their address was righthanded with the exception of the princess who refused to write

Woman in the red kimono, the second murderer, might have altered the hands on Ratchett's waatch

All escape routes in Ratchett's were locked from the other sides or did not have fingerprints on them

Hands on Ratchett's pocket watch might have been changed manually

Pipe cleaners identical to the one found in Ratchett's room are found in the Colonel's luggage

Ratchett's enemy could be a woman in disguise

A button of one of the Wagon Lit employees was found in Mrs. Hubbard's room

Woman's handkerchief found in Ratchett's compartment

First and Second Murder Theory: Murderer 1 came in the room, killed Ratchett, and left. Murderer 2 comes in and, without realizing Ratchett is already dead, stabs him some more

Wounds are too deep to be done by a woman, unless she is athletic

Because the damage to the watch seems purposely misleading, Ratchett must have been murdered earlier than 1:15 AM

Mary Debenham, the Princess, and the Countess are the only possibilities to be the fake conductor

Wounds are too deep to be done by a woman, unless she is athletic

Ratchett was stabbed 12 times - not suicide