"Supposing the hat should not be that of the burglar after all?" I suggested.

"That would be annoying. But I think it is his, and I think I can guess at the nature of the art treasures that were stolen."

"And you don't intend to enlighten me?"

"My dear fellow," he replied, "you have all the data. Enlighten yourself by the exercise of your own brilliant faculties. Don't give way to mental indolence."

I endeavoured, from the facts in my possession, to construct the personality of the mysterious burglar, and failed utterly; nor was I more successful in my endeavour to guess at the nature of the stolen property; and it was not until the following morning, when we had set out on our quest and were approaching Limehouse, that Thorndyke would revert to the subject.

"We are now," he said, "going to the factory of Badcomb and Martin, shell importers and cutters, in the West India Dock Road. If I don't find my man there, I shall hand the facts over to the police, and waste no more time over the case."

"What is your man like?" I asked.

"I am looking for an elderly Japanese, wearing a new hat or, more probably, a cap, and having a bruise on his right cheek or temple. I am also looking for a cab-yard; but here we are at the works, and as it is now close on the dinner-hour, we will wait and see the hands come out before making any inquiries."

We walked slowly past the tall, blank-faced building, and were just turning to re-pass it when a steam whistle sounded, a wicket opened in the main gate, and a stream of workmen—each powdered with white, like a miller—emerged into the street. We halted to watch the men as they came out, one by one, through the wicket, and turned to the right or left towards their homes or some adjacent coffee-shop; but none of them answered to the description that my friend had given.

The outcoming stream grew thinner, and at length ceased; the wicket was shut with a bang, and once more Thorndyke's quest appeared to have failed.