The morning fog hung low over the battlefield as Commander Square 190 rolled to the front lines, his perfectly square armor gleaming in the early light. Above them all, the giant scoreboard flickered:
"Harmony and goodness: 42 | Chaos and Evil: 64."Odd squares and equilateral triangles and circles surround the square, listening intently.
"Listen up, Odds! We're behind the Evens!" the Commander Square bellowed, his compass-point helmet spinning nervously. "The evil Evens, the forces of Chaos, have pushed us back with their non-Euclidean tactics!"
Circle Scout darted forward, hyperventilating. "Commander! Eight evil Even enemies approach from the east! Let us all pray for the power of perfect numbers, 6, 28, 496 —" he shouted to the heavens.
"Calm yourself, Scout," Commander Square said, his voice as steady as Euler’s constant. "Remember your training. Breathe to the count of the first five Fibonacci numbers."
Triangle Warrior stomped forward, his blocky shoulders squared perfectly at 60-degree angles. He thumped his Laplacian chestplate. "Let me at 'em, Commander! My 4×4 matrix hammer is ready to seriously smash some decimal points!"
From across the battlefield, a menacing Even General Pyramid with far too many sides and components shrieked. "Your pathetic numerical harmony is doomed! Chaos reigns!"
Commander Square narrowed his radius. "Triangle, take your division battalion and flank them from the right with fluxions. Circle, your fractional forces will create a distraction with those numerator number catapults."
Triangle saluted with his angular arm. "And you, sir?"
"I'll lead the arithmetical assault with our triangular number troop,” Square said. “Those of us who are sums of square numbers will show them the meaning of true mathematical harmony!"
Circle Scout bounced nervously on his diameter. "But Commander, what if they deploy their... unsolvable equations?" He whispered the last words with terror.
Commander Square's circumference stiffened. "Then we'll do what mathematicians have always done—simplify, reduce, and solve step-by-step."
As they moved into position, Circle caught a glimpse of the banner fluttering in the algebraic wind:
"Rithmomachia: Where Math Is Always Right!"Triangle Warrior hefted his multiplication hammer. "For Pythagoras!" he bellowed.
They charged across the field, geometric shapes of all kinds clashing in a spectacular array of mathematical operations. Square bashed a chaotic trapezoid with a mighty matrix hammer, shouting, "That's 4x4 damage—calculate that!"
Circle Scout leapt over enemies, dropping division symbols like land mines. "Can't step on these without solving them first!" he cackled.
Commander Square rolled through the fray, his geometric ratio shield deflecting diabolical denominators. He engaged the many-sided General Pyramid of Chaos, their weapons clashing in a shower of mathematical symbols.
"Your random numbers can't defeat the power of mathematical harmony!" said Square parrying a fractional number thrust.The Even General Pyramid cackled. "Fool! There will always be chaos in mathematics! What about imaginary numbers? What about infinity?"
Square smiled. "That's the beauty of it. Even those fit into the patterns. Everything in mathematics connects—you just need to learn the rules!" With a powerful thrust of his compass sword, Commander Square solved the evil General Pyramid's equation.
The chaotic Pyramid's angles collapsed in on themselves as he shouted, "Impossible! My calculations were perfect!"
"No," replied Commander Square. "They were just incomplete."
Above them, the scoreboard flickered and changed:
"Harmony and goodness: 81 | Chaos and evil: 64"As the remaining chaotic shapes retreated, Circle and Triangle joined their commander.
Circle thumped a round chest plate. "Victory through radial vectors!"
Triangle couldn't stand still. "Did you see me? I was adding and subtracting so fast they couldn't keep up with my calculations!"
Commander Square surveyed the battlefield, where defeated shapes were being tutored in proper mathematical principles by the victors. "Remember, Odds —- in Rithmomachia, we don't just defeat our enemies."
"We teach them," Square nodded solemnly.
"And we learn from them," Triangle added, examining a fascinating fractal pattern left behind by a fleeing chaotic shape.
Circle smiled as new recruits began to gather around them, eager to learn the ways of mathematical harmony.
"That's right," Square said. "Because the real victory in Rithmomachia isn't just winning..."
Triangle and Circle smile and nod.
"...it's understanding!" Square declares proudly.
The End