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I'm researching on transformers and curious to know about what this shape is called (the actual core block, ignore the wires around it).

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    $\begingroup$ Are you asking about the literal name of the 3D solid? $\endgroup$ – Triatticus Jul 11 at 17:30
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This mathematical shape is a particularly simple example of a toroidal polyhedron.

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    $\begingroup$ Yes, the mathematical shape is what I am looking for. It seemed similar to the torus to me except that it's square and not circular. Toroidal polyhedron I guess would be the closest then. I'm curious why the shape in itself has no name. $\endgroup$ – echorashmi Jul 11 at 20:45
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That can be called a core-type transformer (with a single window) in contrast to the shell-type transformer. Note also that those types of cores are also constructed with laminated materials to reduce eddy current losses.

The linked definitions from the Electrotechnical Vocabulary of the International Electrotechnical Commission (IEC) give the above terms as deprecated, but they are well established nonetheless.

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If you are asking for the name of the squared ring of iron that connects the two coils in a core-type transformer, it is called the “yoke.” The iron yokes together the two coils, like a wagon yoke held together the two oxen pulling a wagon.

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    $\begingroup$ I'm actually curious of the name of the shape. "Squared ring" seems to be closest to what I'm looking for. $\endgroup$ – echorashmi Jul 11 at 20:46

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