Rocks/ carbon, silicon does not contain any "emerging property" that would allow it to transform into a horse or "acquire" the skill to create 3D Animations.
Sure they do.
Rocks, or rather the silicon in rocks, can become transistors when they are rearranged. Then there are a whole other set of emergent properties to turn groups of transistors into a computing machine. Let's start with Si atoms...
Emergent property #1, semi-conduction:
Conduction or insulation or semiconduction is not a property of any atom, but of large groups of atoms. When the Si atoms are next to each other their wave functions overlap and create "conducting" band of electron states with a gap relative to the "valence" states. Applying a voltage across a semi-conductor promotes some electrons into the conducting band and they can flow through the solid silicon. (Note that this is a property of solid silicon in a nearly pure state.)
Emergent property #2, doped semiconductors:
If you add "dopants" to silicon it creates more charge carriers and alters the semiconductor properties. (Silicon can make 4 bonds, but if you replace a Si atom in the lattice with phosphorus that makes 5 bonds, there are only 4 places in the lattice, so the 5th available electron is available to be come a free charge [n-type doping]. If you use an atom that only makes 3 bonds then one of the neighboring Si atoms won't be properly bonded and creates a "hole" a positive charge carrier that migrates easily through the crystal when a voltage is applied.) The free electrons and holes alter the semiconductor properties.
Emergent property #3, the transistor effect.
If you make a sandwich of doped semiconductors, for example n-p-n, and try to pass a current from one n piece to the other, you can turn it on and off by applying a voltage to the interposed piece of p-doped semiconductor. You now have a switch that controls the flow from n-to-n by applying a voltage to p.
Emergent property #4, logic gate
If you assemble a number of transistors you can build simple logic gates that can perform operations like AND and NOR.
Emergent property #5, arithmetic operator.
If you assemble a number of logic gates you can do arithmetic on integer and pseudo-real numbers.
Emergent property #6, instruction based computing
By assembling a variety of logic gates into other functions (including memory) and those with the arithmetic operations into a microprocessor that can perform instructions from stored instruction set and store the results. A computer that can model 3D images is possible.
This computer is the result of multiple layers of emergent properties that depend on the Si atoms (and other atoms and their collective emergent properties to dope, insulate, and conduct), but are properties that are not intrinsically *in* the Si atom. A large pile of silicon is not a computer, nor is one atom, but the construction of a computer depends on a layered deployment of the emergent properties of Si atoms and the constructs made with them.