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“This room we now sit in, Dr. Silence, has one side open to space–to Higher Space. A closed box only seems closed. There is a way in and out of a soap bubble without breaking the skin.”

“You tell me no new thing,” the doctor interposed gently.

“Hence, if Higher Space exists and our world borders upon it and lies partially in it, it follows necessarily that we see only portions of all objects. We never see their true and complete shape. We see their three measurements, but not their fourth. The new direction is concealed from us, and when I hold this book and move my hand all round it I have not really made a complete circuit. We only perceive those portions of any object which exist in our three dimensions; the rest escapes us. But, once we learn to see in Higher Space, objects will appear as they actually are. Only they will thus be hardly recognisable!

“Now, you may begin to grasp something of what I am coming to.”

“I am beginning to understand something of what you must have suffered,” observed the doctor soothingly, “for I have made similar experiments myself, and only stopped just in time–“

“You are the one man in all the world who can hear and understand, and sympathise,” exclaimed Mr. Mudge, grasping his hand and holding it tightly while he spoke. The nailed chair prevented further excitability.

“Well,” he resumed, after a moment’s pause, “I procured the implements and the coloured blocks for practical experiment, and I followed the instructions carefully till I had arrived at a working conception of four-dimensional space. The tessaract, the figure whose boundaries are cubes, I knew by heart. That is to say, I knew it and saw it mentally, for my eye, of course, could never take in a new measurement, or my hands and feet handle it.

“So, at least, I thought,” he added, making a wry face. “I had reached the stage, you see, when I could imagine in a new dimension. I was able to conceive the shape of that new figure which is intrinsically different to all we know–the shape of the tessaract. I could perceive in four dimensions. When, therefore, I looked at a cube I could see all its sides at once. Its top was not foreshortened, nor its farther side and base invisible. I saw the whole thing out flat, so to speak. And this tessaract was bounded by cubes! Moreover, I also saw its content–its insides.”

“You were not yourself able to enter this new world,” interrupted Dr. Silence.

“Not then. I was only able to conceive intuitively what it was like and how exactly it must look. Later, when I slipped in there and saw objects in their entirety, unlimited by the paucity of our poor three measurements, I very nearly lost my life. For, you see, space does not stop at a single new dimension, a fourth. It extends in all possible new ones, and we must conceive it as containing any number of new dimensions. In other words, there is no space at all, but only a spiritual condition. But, meanwhile, I had come to grasp the strange fact that the objects in our normal world appear to us only partially.”

Mr. Mudge moved farther forward till he was balanced dangerously on the very edge of the chair. “From this starting point,” he resumed, “I began my studies and experiments, and continued them for years. I had money, and I was without friends. I lived in solitude and experimented. My intellect, of course, had little part in the work, for intellectually it was all unthinkable. Never was the limitation of mere reason more plainly demonstrated. It was mystically, intuitively, spiritually that I began to advance. And what I learnt, and knew, and did is all impossible to put into language, since it all describes experiences transcending the experiences of men. It is only some of the results–what you would call the symptoms of my disease–that I can give you, and even these must often appear absurd contradictions and impossible paradoxes.