Square watermelons. Photo: The Asahi Shimbun, via Getty Images.
The storing problem probably explains these cube-shaped watermelons, grown in Japan.
If the Earth was a flat square square and the Sun was similarly square, the packing of small Earth-squares onto the surface of the large Sun-square would be much easier. If both the Earth and the Sun were cube-shaped, the entire volume of the Sun could be filled to capacity of Earth-shaped cubes. Of course, a cube-shaped Sun would certainly require altogether new physics.
Check out this page
to learn what conditions on the Earth would be like if the Earth had miraculously been cube-shaped. At least that would be a lesser miracle than turning the Sun into a cube.
Storing Earths, cube-shaped or not, inside the volume of the Sun until the Sun was "filled up", would certainly change the Sun very much. Since the Sun's volume is (very[ approximately)/i] a million times the volume of the Earth, but the mass of the Sun is only ([i]very
approximately) 300,000 times the mass of the Earth, packing the volume of the Sun with objects the size and mass of the Earth would make the Sun ~ 3 times more massive. All other things being equal, this would turn the Sun into a 3 solar mass star midway between Vega and Regulus.
Of course, a star made up of a million Earths would be anything but normal. The Sun is made up of
, in total mass, 71.0% hydrogen, 27.1% helium, 0.97% oxygen, 0.40% carbon and 0.099% silicon. The Earth, by contrast, is made of
the following elements in bulk mass: iron (32.1%), oxygen (30.1%), silicon (15.1%), magnesium (13.9%), sulfur (2.9%), nickel (1.8%), calcium (1.5%), and aluminium (1.4%). I guess all the iron in a million Earths would sink to the center of the volume of the Sun, creating a dead iron core and making the Sun explode as a supernova! Or am I wrong, what do you think?