Imagine Magazine - Johns Hopkins - May/June 2015 - (Page 47)
by Tim Boester
On each piece of land for a planned wind farm, you
need to determine how to place wind turbines in order
to maximize the amount of electricity generated.
Each wind turbine will face into the prevailing winds.
Each turbine needs space to the left, right, and behind,
forming a T-shaped footprint, to operate. The footprint
for each wind turbine must fit completely onto the
piece of land.
According to the specific topology of the land, some
places (designated in blue) have more consistent
winds than the surrounding area. Wind turbines placed
on these squares will produce 50% more electricity
compared to those placed on other squares. Note that
only the wind turbine needs to be placed on a blue
square, not the entire T-shaped operating footprint.
Instead of simply placing the maximum number of
wind turbines on a piece of land, strategically placing
fewer turbines in windier places may result in more
electricity being generated. If two layouts produce the
same amount of electricity, the better solution uses
fewer wind turbines.
Here are two pieces of land to be used as wind farms.
How can you position turbines to generate the most
Solution for Knossos Games 22.4:
Here are the missing instructions:
From the Start hexagon, alternate jumping 1 hexagon,
then 2 hexagons (in a straight line). You cannot jump
across solid black bars (walls) between hexagons. You
can land on the same hexagon multiple times.
When you land on a green hexagon, add the number
given on that hexagon to your total. When you land on
an orange hexagon, subtract the number given on that
hexagon from your total. Starting with zero, the Start
hexagon immediately adds 9 to the total.
At no time when traveling through the puzzle can your
total be greater than 9, nor can it be less than negative 9.
Tim Boester is an educational
psychologist who studies how people
learn math. He has more puzzles
available at www.knossosgames.com.
Can you find the shortest path to land on the Finish
hexagon that returns you to your starting total of zero?
Table of Contents for the Digital Edition of Imagine Magazine - Johns Hopkins - May/June 2015
In My Own Words Daniel Kammen, Professor of Energy, UC Berkeley
A Solar-Powered Solution to the Water Crisis Using the sun to purify water
The PolluCell Generating electricity using waste and pollution
More than a Race The Solar Car Challenge
Energy Agenda The power of teen research
Energized! A crash course in fuels of the future
Grease Is Good Helping the environment and the community with biofuel
Fueled by Algae Sara Volz and the powerful potential of pond scum
The Future of Energy Five careers in green power
My Sanskrit Yaatra Connecting with my culture through language
Devoted Awareness My internship with Until There’s a Cure
Selected Opportunities and Resources
Off the Shelf Review of Ralph Ellison’s Invisible Man
Exploring Career Options Interview with green architect Andrew Thompson
One Step Ahead Six things incoming college students should know
Planning Ahead for College Developing your passions
Students Review: University of Pennsylvania
Creative Minds Imagine
Mark Your Calendar
Imagine Magazine - Johns Hopkins - May/June 2015