Interactive Computations

Use the free Wolfram *Mathematica Player* to interact with the math
behind NUMB3RS.

Where ALAN and PROFESSOR BILL WALDIE pore over BLUEPRINTS. Solar panels and 'sunflower system' gear surround them. PROFESSOR BILL WALDIE Blame Mother Earth. To maximize efficiency, ideally we'd install solar panels on the roof at the same angle as our latitude, parallel to the earth' s axis-- ALAN Here we're at 34 degrees, 8 minutes. PROFESSOR BILL WALDIE ... Yet the slope of your roof is a gentle, eye - pleasing 22.5 degrees -- CHARLIE -- so we lose efficiency. PROFESSOR BILL WALDIE Angling the panels upward is one solution, we're also looking at mechanizing the mounts to follow the Sun -- a 'sunflower system' -- keeping the hardware to a minimum.

The Phoenix Mars Lander has two circular solar panels that are deployed like the opening of a fan after landing.

Colby enters to find Charlie poring over the silo blueprints. COLBY Is that a silo? CHARLIE ...Cylindrical granary. My dad's having it put in the backyard.

A common optimization problem faced
by calculus students soon after
learning about the derivative is to determine
the dimensions of a twelve-ounce can made with the least material, that is, the problem is to find the dimensions of a
cylinder with a given volume that minimizes the surface area. Use the slider to adjust the
shape of the cylinder and watch the surface area fluctuate about the minimum of the surface area function.

Amita crosses back to Charlie, who now looks over at Larry sitting on a desk, gazing out the window, a lost look -- AMITA Paradise lost. Larry, we've been spending 20 hours a week together, working on the Higgs Boson project. I know something's wrong. You were in a tailspin long before you punched out a monk. LARRY ...It's the Higgs. CHARLIE What're you talking about? LARRY Much as I bristle at references to a 'God Particle,' I must confess discomfort at the prospect of its discovery, the prospect that this 'seeing into the mind of God' may prove to be no more than another blind alley in the search for a Grand Unified Theory. CHARLIE You won't know until you get there.

The "particles" setter summarizes the component particles of the standard model: quarks, leptons, gauge
bosons, and the putative Higgs particle. The fact that isolated quarks have never been observed is referred to as quark
confinement. Baryons and mesons, known collectively as hadrons, exist as combinations of quarks. Baryons, including the
proton and neutron, consist of quark triplets. Mesons combine a quark with an antiquark. There also exist antibaryons,
made of antiquark triplets.

Porter reaches for his OJ, knocks his burrito onto the ground. He bends down, picks it up, looks at it. Disgusted. CLAY PORTER (cont'd) If I talk to you two anymore, I'll lose the rest of my breakfast. Porter tosses his food in the trash, goes to his motorcycle. David and Colby toss their food, get in the car, start it up. Porter pulls away. David and Colby follow, hear a POP! The car pitches. They jump out, take a look... They see a flat tire, HOMEMADE TIRE SPIKES on the ground.

Alan spreads out a new blueprint. Charlie and Amita look -- AMITA ...A windmill? ALAN Wind turbine is the precise term. PROFESSOR BILL WALDIE Generates 1000 watts at 11 meters per second, an easy 5 kilowatts per day. Goodbye grid. CHARLIE That sounds great.

The windmill model consists of a pole, a shaft, four blades, and a spinner. You can control the rotation of the blades,
the height of the shaft, the length of the blades, and the direction of the whole assembly.