Skinny Man Tango (area, algorithm)

Skinny Man Tango (area, algorithm)

Skinny Man Tango starts with a shape and then changes it to another shape based on three simple rules. The results can be as beautiful as watching tango. To explain the rules I’ll start with this shape. Replacement Rule: Each edge of your shape must be replaced...
Venn Puzzler

Venn Puzzler

Is this Venn-like diagram a good fit for Reptile, Crocodile, Female? Does this make sense? No – it suggests that some Crocodiles are not Reptiles. WRONG. It also suggests that all Crocodiles are Females. WRONG. Fix it… This works. Some Crocodiles and...
Uncracked 33 (negative integers, exponents)

Uncracked 33 (negative integers, exponents)

Uncracked 114 (Diophantus of Alexandria, c. 215-290) Students working with exponents should be asked to find which values of n from 0-100 are possible by summing the cubes of three positive integers: a^3 + b^3 + c^3 = n. Next, ask if the cubes can be negative. This is...