what connects the brains right hemisphere to the left hemisphere?
As you already know, the cerebellum has a right hemisphere and a left hemisphere, with a finger-shaped structure called the vermis in the middle.
Nerve pathways connect the right half of the cerebellum with the left cerebral hemisphere and the right side of the body. Pathways from the left half connect with the right cerebral hemisphere and the left side of the body.
The two halves of the brain are joined by a large structure called the Corpus Callosum
Here's what wikipedia has to say about it:
The corpus callosum is a structure of the mammalian brain in the longitudinal fissure that connects the left and right cerebral hemispheres. It is the largest white matter structure in the brain, consisting of 200-250 million contralateral axonal projections. It is a wide, flat bundle of axons beneath the cortex. Much of the inter-hemispheric communication in the brain is conducted across the corpus callosum.
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