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"I think that self-limitation is the major limiting factor for most people in the world."
- Frank Herbert

Computer Globe  
  Spherical computer display.  

They emerged directly into a large room, which Deg described as the local integration and prediction laboratory.

It was about one hundred feet square. Its most prominent feature was a set of six five-foot globes, spaced equally along one wall, and representing the first maps Vickers had seen of Hekla. Each was covered with a complicated network of lines and symbols: the Earthman assumed that these were the equivalents of the isobars, fronts, cloud symbols and other data with which meteorologists habitually decorate their work. They meant little to Vickers. He was able to tell, from his recollection of the planet’s surface as viewed from space, that the deep purple areas represented water, while land was white. The globes were evidently of some translucent material like frosted glass, and were lighted from within.

At the base of each globe was a desk, at which an operator sat. Some were working small computing machines ; others were busy with the incomprehensible diagrams and graphs of their profession. On the rest of the floor space were a number of larger computers, some manned and active, others deserted.

Vickers waited for him, gazing around at the ordered efficiency represented in the activity of the laboratory. It pleased him; everything he saw bespoke a high culture, considerable progress in the physical sciences, mechanical skill, and an apparent tendency toward international co-operation — a smoothly working planet-wide weather system could scarcely be maintained in the face of strained international relationships.

Technovelgy from Cold Front, by Hal Clement.
Published by Astounding Science Fiction in 1946
Additional resources -

A bit more descriptive text:

The laboratory was as Vickers remembered it; the globes, the computing machines, the operating personnel. The big central machine was active this time, with the four operators in their seats on each side. Marn pointed out one of these individuals...

“...Could you explain these devices to us? I will translate to Rodin as well as I can, though you will probably have to explain most of your scientific terms with simpler words. What is the connection between those globes and the computers beneath them?”

“The globes are weather maps. The computers handle observed values of air pressure, temperature, humidity, and similar factors, setting them up as isopleths on the globes and calculating their individual trends. Each of the machines handles one such variable and its individual characteristics. The results oŁ these computations are fed to the intermediate machines, and finally to the master computer, which is supposed to give a complete weather picture. All the factors at once could be shown on the main screen, but it would make a very confusing picture. The trouble, of course, is that each factor is dependent on all the others, and the integration has to be fed back to the individual machines to correct their values for each few minutes of a prediction. It is really a very clumsy system; a single computer capable of tracking all the variables at once would be far speedier and more convenient. Such a machine is being designed at one of our research centers, but it is so far much too bulky, complex, and tricky for an outpost such as this. I should like a chance at it myself, as you can well imagine."

Compare to the visiglobe from Agent of Vega (1949) by James Schmitz, the weather room from The Weather Man (1961) by Theodore L Thomas and the spherical display from Surface Detail (2010) by Iain M Banks.

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Additional resources:
  More Ideas and Technology from Cold Front
  More Ideas and Technology by Hal Clement
  Tech news articles related to Cold Front
  Tech news articles related to works by Hal Clement

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