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Because of the tools they were limited to the Greeks were only able to construct five shapes?
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Can a human draw a perfect circle?
As far as an UNAIDED human, no it is not possible. By unaided - nothing other than their writing utensil, hand and the surface being drawn on with no guide, tools, marks or the like.
What is cut stone?
When a stone comes out of the ground it may have different shapes, cubes, rhombic or dodecahedral. None of those shapes have the brilliance, shape or shine that you'd associate with the rings and necklaces at your local jeweler. So, rough stones are sent to a cutter who uses various tools and polishing methods to shape and smooth the stone to get the best possible aesthetics from it. When the cutter is done it has gone from being a rough to a cut stone.
How were the Maya able to construct elaborate sculptures without the use of metal tools?
They used hard stone tools to work softer stone into sculptures.
What limitations do mathematical models have as problem solving tools?
There are many limitations that mathematical models have as problem solving tools. There is always a margin of error for example.
