The shape of the universe is a matter of debate in physical cosmology over the local and global geometry of the universe which considers both curvature and topology, though, strictly speaking, it goes beyond both. In practice, more formally, the debate seeks a 3-manifold that corresponds to the spatial section (in comoving coordinates) of the 4-dimensional space-time of the universe.
The recent Wilkinson Microwave Anisotropy Probe (WMAP) measurements have led NASA to state, "We now know that the universe is flat with only a 0.5% margin of error." Within the Friedmann–Lemaître–Robertson–Walker (FLRW) model, the presently most popular shape of the Universe found to fit observational data according to cosmologists is the infinite flat model, while other FLRW models that fit the data include the Poincaré dodecahedral space and the Picard horn.
Read more about Shape Of The Universe: Introduction, Local Geometry (spatial Curvature), Global Geometry
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“Caught by the spectacle my mind turned round
As with the might of waters; an apt type
This label seemed of the utmost we can know,
Both of ourselves and of the universe;
And, on the shape of that unmoving man,
His steadfast face and sightless eyes, I gazed,
As if admonished from another world.”
—William Wordsworth (1770–1850)
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Less than Arch Angel ruind, and th’ excess
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Shorn of his Beams, or from behind the Moon
In dim Eclips disastrous twilight sheds
On half the Nations, and with fear of change
Perplexes Monarchs.”
—John Milton (1608–1674)
“Is it possible that I am not alone in believing that in the dispute between Galileo and the Church, the Church was right and the centre of man’s universe is the earth?”
—Stephen Vizinczey (b. 1933)