Everett Daily Herald, August 26, 2015

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Lunch box fare that will get your kids looking forward to school

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WEDNESDAY, 08.26.2015

EVERETT, WASHINGTON

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Mariner limits sports attire Crews To try to thwart rising gang activity, students will only be allowed to wear professional gear from Seattle’s teams. By Sharon Salyer Herald Writer

EVERETT — Mariner High School students who want to wear professional sports team

colors better stick to those used by Seattle’s home teams. A new addition to the school’s dress code bans students from wearing non-Seattle pro sports gear. The ban is an

attempt to keep students from wearing the colors of professional sports teams associated with gangs, said Andy Muntz, Mukilteo School District spokesman. The high school is at 200 120th St. SW, located in unincorporated south Everett. Over the past few months, the community

eye heat, wind

has had an increase in gang activity, Muntz said. The change follows a recommendation from an anti-gang task force that the high school is involved with. College and university gear are still allowed. See ATTIRE, back page, this section

A mathematical discovery

Firefighters from Australia and New Zealand are here to help battle the massive wildfire that’s in danger of spreading.

Couple, student at UW-Bothell identify rare pattern in geometry

By Nicholas K. Geranios Associated Press

SPOKANE — Firefighters in Washington kept a wary eye Tuesday on rising temperatures and winds that There are threatened to expand what’s multiple already the largways you can est wildfire on help those record in the who have been state. affected by the Similar conwildfires, A2 cerns existed in Southern California, where temperatures up to 106 were forecast for interior valleys and deserts — conditions that could accelerate some of the 16 fires that are burning in the state but posing little serious risk of major destruction. Elsewhere, massive fires had produced poor air quality in Idaho and parts of Washington, Oregon and Montana. The smoke was so thick in northern Washington that firefighting aircraft were grounded before resuming operations Tuesday. “It’s been a nightmare to breathe,” Okanogan County Sheriff Frank Rogers said. “You couldn’t see nothing with the smoke.” Conditions were improving and Rogers said Tuesday he could see the sun for the first time in a week. The U.S. is in the midst of one of its worst fire seasons on record with some 11,600 square miles scorched so far. It’s only the sixthworst going back to 1960, but it’s the most acreage burned by this date in a decade, so the ranking is sure to rise. So many fires are burning in Washington that managers are summoning help from abroad and 200 U.S. troops from a base in Tacoma in the first such use of active-duty soldiers in nine years. Firefighters were grateful that 71 reinforcements had arrived from Australia and New Zealand to help lead efforts to contain the Okanogan fires along the border of Canada. “The Aussies are coming!” said Rick Isaacson, a spokesman for the firefighting effort.

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GENNA MARTIN / THE HERALD

University of Washington Bothell campus associate professors of mathematics Jennifer McCloud-Mann and Casey Mann discovered a new geometrical pattern of irregular pentagons that could have applications in crystallography, self-assembly machines ... or bathroom tiles.

BOTHELL — One person’s idle doodling is another’s mathematical breakthrough. Two mathematics professors and one of their former students at the University of Washington at Bothell have made a discovery in mathematics that could have applications in crystallography or self-assembling nanomachines. Or it could provide an interesting tiling project for the bathroom floor. Their discovery is in an esoteric branch of geometry called tessellation, or tiling of identical shapes that can cover a twodimensional plane with no gaps

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patterning on A16.

and no overlaps, out to infinity. Casey Mann and Jennifer McCloud-Mann are both associate professors of mathematics at UW Bothell. They’re also married to each other. The Manns and a former undergraduate student, David Von Derau, have discovered a pattern of tiling convex irregular pentagons. It’s only the 15th tiling pattern for pentagons ever discovered, and they only did it with the help of a computer program that Von Derau wrote. Pentagons present a unique problem in geometry. Tiling can be easy to grasp

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at first, but it gets complicated quickly. There are only three regular polygons — shapes whose interior angles are the same and the sides are the same lengths — that tile in a plane: triangles, quadrangles and hexagons. They are convex shapes, meaning all the interior angles are less than 180 degrees. It’s easy to tile triangles and quadrangles because we’ve all seen graph paper, or been stuck on a boring phone call with a pen and notepad handy. It’s a little trickier to envision tiling with hexagons, but imagine a honeycomb, snowflakes or (if you’re a certain nerdy sort of person) a battle map from a roleplaying game. But that’s it for the regular

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polygons. Now it gets complicated. Even with irregular shapes included, it can be mathematically proven, for example, that there are exactly three kinds of convex hexagons that can tile a plane, Casey Mann said. One is regular, two irregular, meaning their angles and sides are of different sizes. “It can also be proven that if you have seven sides or more you can’t tile a plane with them. They can’t fit around corners,” he said. It’s possible to tile an irregular pentagon, however. It’s just not easy to figure out the correct pattern. See DISCOVERY, back page, this section

The Buzz: The lawyers will drink to that. Page A2

See FIRES, Page 2A

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