Imagine Magazine - Johns Hopkins - January/February 2011 - (Page 47)

KG Imagine 18.3 layout mockup KG / / Imagine 18.3 layout mockup knossos games NOT FOR PUBLICATION NOT FOR PUBLICATION Solution for November/December Solution for November/December Knossos Games: Knossos Games: Knossos games 18.2 solution Diadromous fish migrate from the sea to fresh water in order to spawn. When the migration diadromous the sea to freshwater in order to spawn. When the migraDiadromousbeenfish migrate from a man-made dam in order to spawn. When thecalled fish ladders To altar: W – W – S (O) – N – W (C) – route has fish migrate from the sea to fresh water or other barrier), structures migration blocked (due to To altar: – W – S (C) – – N–– – (C) – tion route has been (due to a (due complete theirother barrier), structuresstructures ladders blocked man-made dam or journey.other barrier), called fish route has constructed to help the fish to a man-made dam or been blocked W – W – – – S (O) N W (C) To altar: W S (O)W S (O)– S (O) WS(C) – E – can be W––SS(O) – S (C) ––SS (O) – W (C) – – can be constructed to help the constructed to their journey.complete their journey. called fish ladders can be fish complete help the fish (O) – N (C) (O) – – S W – – W W (O) – S (C) – W (O) S (C)–– E (C) W (O)(O) –N (C) –(C) – W – W (O)W S (C) – – (C)– W (O) (O) – W (C) – E – WS N N –W W –W–W – – (O) in this puzzle, you will design ladder using large, pre-cast columns. These steel-reinforced In this puzzle, you will design a fisha fish ladder using large, pre-cast columns. these (O) WN – N (C) NW –– N(O) WSN (C) (C) In concrete columns can be stacked one onbe stackedpre-cast top of anothercannot be cut. this puzzle, you will design acolumns can top of another on columns. but if steel-reinforced – – – E (O) W (C) W – (C)S– S (O) – W – – –(C) – W(O)–– (O) – steel-reinforced concrete fish ladder using large, one if necessary, These necessary, but – WN–(O) – E (C) – ––N (C)S(C). (C) – – – E (O) – N (C)E (O)(O) – N (O) N – –N concrete columns can be stacked one on top of another if necessary, but cannot be cut. – S (C) W – E (O) cannot be cut. N (O) – N (C) – N E (C)– E (C) – S(C). – S(C). (O) – E (O) – E (O) In the completed ladder, the water level level must step down in one-foot increments. (the in the completed ladder, the water must step down in one-foot increments. (The horizonIn tal lines on the figure and in the level must step down in one-foot increments.)(The columns can the completed ladder, the water columns indicate these one-foot increments. The horizonExit: S – N (O) – S – S (C) – W – W horizontal lines on the figure and in the columns indicate these one-foot increments.) the Exit: S – N (O) – S –– E (O) W – W S (C) – talonly be inserted at and locations marked by thethese You may not need to use all of the can lines on the figure the in the columns indicate dots. one-foot increments.) The columns Exit: S (O) – S (C) S WS (C) – – N (C) – N – N (O) – – – W–W (O) (O) (C) –(C) – N (O) – N (C) – N (O) – E – S – N W – E (O) – E (C) – E only columns canat thebe inserted at the locations marked by the dots. You use all ofneed to be inserted only locations marked by the dots. You may not need to may not the (O) – S (C) – W – E (O) – N (C) – N columns provided. use provided. (O) – N (C) – N (O) – E (C) – E (O) – E columns all of the columns provided. (C) – – N (O) – E (C) E (O) – – (O) – N (C)N – S(O) – E (C) –– E (O) E – S (C) – N – S (O) – E (C) – E (O) – E – S here’s an example (below, left). Because there is a two-foot difference between the – S – S (O) – – E – – E – E – E E (C) – N (C) – S (O)E (C) E (C)(O) – E. Here’s an example (below, left). Because there is a two-foot difference between the water levels – S (C) – S (O) – E – E (C) – E – E. water levels at the highest Because there is a two-foot difference barrier to break that Here’s an example (below, left). and lowest barriers, you must add one between the water levels – S – S (C) – S (O) – E – E (C) – E – E. at the highest and lowest barriers, you must add one barrier to break that drop into one-foot at the highest one-foot steps. depending on add one you had a break that drop into one-foot drop into and lowest barriers, you must whether barrier to column of three, four, or five There are multiple solutions, steps. Depending on whether you had a column of height three, four, or five feet, you would use There are multiple solutions, steps. Depending onuse one ofyou had a column of height three, four, or five feet, you would use feet, these solutions: you would whether these solutions: therebut this is the shortest. are multiple solutions, one of but this is the shortest. one of these solutions: but this is the shortest. fish ladder by tim boester Designfish ladder for the following site. You have two each of 2 foot, 3 foot, and 4 foot columns. Designdesign aladder for the following site. site. You have twoof 2 foot, 2-foot, 3-foot,foot columns. a a fish fish ladder for the following You have two each each of 3 foot, and 4 and 4-foot columns. x x22 x x2 2 x x2 2 Tim Boester is an Assistant Professor in Mathematics Education at Wright State University. You can find more puzzles on his website at homepage. mac.com/ boester. www.cty.jhu.edu/imagine imagine 47 SHUTTERSTOCK http://homepage.mac.com/boester http://homepage.mac.com/boester http://www.cty.jhu.edu/imagine

Table of Contents for the Digital Edition of Imagine Magazine - Johns Hopkins - January/February 2011

Imagine Magazine - Johns Hopkins - January/february 2011
Contents
Big Picture
In My Own Words
Becoming Environmentally Eloquent
Bacteria vs. Polystyrene: Getting the Toxins Out
Feat of Clay
What Lies Beneath
Clean & Green?
Ocean Embrace
Selected Opportunities & Resources
Making the Most of Public School
Word Wise
One Step Ahead
Exploring Career Options
Off the Shelf
Planning Ahead for College
Students Review
Creative Minds Imagine
Mark Your Calendar
Knossos Games

Imagine Magazine - Johns Hopkins - January/February 2011

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