Let c be a fixed length, fixed in 2-dimensional space, which is the longest side of a triangle; let the other sides of this triangle be a and b, with variable lengths; let V be the vertex to the sides a and b; and let M be the midpoint of c.
By:
Colouring “the region mapped by the vertex V under the condition a2+b2 > c2” the colour beige;
Colouring “the locus of the vertex V under the condition a2+b2 = c2” the colour beau-blue;
Colouring “the region mapped by the vertex V under the condition a2+b2 < c2” the colour blue (light);
Colouring “the region mapped by a point, which is within distance = c/8 of the point M” the colour black (note: if this region overlaps with another region, black is a more dominant colour); and
Colouring the leftover uncoloured regions the colour bistre;
What is the name given to the resulting mathematical picture?
(Remember to use spoilers to allow other problem-solvers to come to the answer in their own time)
Question
random7
Let c be a fixed length, fixed in 2-dimensional space, which is the longest side of a triangle; let the other sides of this triangle be a and b, with variable lengths; let V be the vertex to the sides a and b; and let M be the midpoint of c.
By:
What is the name given to the resulting mathematical picture?
(Remember to use spoilers to allow other problem-solvers to come to the answer in their own time)
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