A Math Forum Project

Geometry Forum - Problem of the Week

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    Pat Daley's Class

    1. THE Pentagon - obvious reasons
    2. Bermuda triangle - obvious reasons
    3. Astrodome - hemisphere
    4. Eiffel Tower - symmetry, segments forming geometric shapes Clock - circle, center, radii
    5. Different shaped dice - platonic solids and some other weird dice Ice cube - cube
    6. Window blinds - parallel planes
    7. Plant leaves - symmetry
    8. Basketball court - 90 degree angles, arcs, circles Chain link fence - diamonds
    9. Subway in Paris - pentagon with radiating lines Arc de Triomphe - streets that radiate from the Arc Snowflakes - symmetry; multiples of 6 points Tree - trunk is a cylinder
    10. Earth - sphere
    11. Stars - look like points in the sky
    12. Baseball diamond - 90 degree angles
    13. Billiards - use angles to hit the pockets; balls are spheres Seashells - spirals
    14. Pine cones - repeated patterns
    15. Swing set - line segments; planes are determines Starfish - symmetry
    16. Stop sign - octagon
    17. Supports on a large building - segments form different kinds of geometric shapes
    18. Streets in a city - parallel, perpendicular, intersect Gemstones - different faces
    19. Field - plane
    I just realized that I probably didn't answer one of the questions on the POW: Which object on your list do you think is "the most geometric?" What makes it so? Our answer was the EARTH because it contained all the other objects except stars.

    Pat Daley


    Judy Young's Class

    --Kristina Almquist 9th grade
    My churches floor - all different shapes (triangle, square, trapezoid, hexagon, etc.) together very close in a pattern.
    --Rommel Bagay 9th grade
    Time - 4 dimensional
    --Faaiza Bashir 10th grade
    The moon - It is round, not perfectly, and 3-dimensional in space. It has an infinitive amount of space around it. The moon has depressions in it, causing it to be not perfectly smooth. It also has bumps on it which could be made easily with shading by perspective artists. The moon also sends out rays of moonlight like lines that are 1- dimensional. These lights touch all geometric properties on earth.
    --Sarah Clawson 9th grade
    chandelier
    --Christine Cramer 9th grade
    Planet - found in nature, usually perfectly round (sphere)
    --Alex D'angelo 9th grade
    Electrical wiring - network
    --Joe Fuston 8th grade
    A map - It turns solid Geometry of a sphere to planar geometry.
    --Chris Gonzales 9th grade
    Wallpaper in my room
    --Simone George 8th grade
    Top of a car - trapezoid
    --Michele Gibney 10th grade
    The sun - a spherical globe - three-dimensional and it's a space figure. I picked this because it is our sun and one of the most important things in our surroundings.
    --Susie Goetz 9th grade
    The screen in may window - it could be looked at as a coordinate plane, made up of vertical and horizontal lines that are very close together.
    --Noah Hirk 8th grade
    Chimney - three dimensional square
    --Roy Holtmann 9th grade
    Orange - symmetrical, spherical, has no sides or corners.
    --Pamchal Javandel 9th grade
    Caldocot tunnel - vanishing point
    --Steffanie Jensen 9th grade
    Pool
    --Ryan McCauley 8th grade
    Pyramids at the airport
    --Shadan Mirabedi 9th grade
    Where two boards in a treehouse connect - right angle
    --Terri Nocco 10th grade
    The campus - It is a network, has many node and arcs.
    --Aruna Parthasarathy 9th grade
    Ceiling fan - Each blade is a diagonal of a square
    --Jeff Pieper 9th grade
    Globe - has all dimension except time
    --Chris Ralls 9th grade
    The propellor to a plane - when spun it makes a perfect geometric circle.
    --Danielle Rollick 9th grade
    The freeway - It is like a number line a network
    --Ashleigh Rossman 9th grade
    Courrigated cardboard
    --Sara Runyan 9th grade
    Roads - network
    --Cody Sisco 9th grade
    Seashells - they have spirals
    --Chris Rust 9th grade
    Angle of light reflecting of a mirror
    --Michael Summers 9th grade
    Baseball fields - a square, bases are at 90 degrees, it is symetrical
    --Andrew Liu 9th grade
    Cell - has hexagonal shape
    --Kelly Tang 9th grade
    Pea soup with spheres inside of a cylinder
    --Anna Ustaszewska 10th grade
    pin's head- It is a point as a dot
    --Stephen Switzer 9th grade
    My notebook paper is a rectangle with parallel lines, circles AND it is most geometric because it has a lot of geometry problems on it.
    --Matt Toney 9th grade
    The bow of the model ship I am working on. All present day U.S. ships have a bow shaped like an inverse curve
    --Candice Wiegand 9th grade
    a globe with all the latitude and longtitude
    --Amanda Wolcott 9th grade
    Our campus is a network of nodes and arcs and line segments.

    Ruth Carver's Class

    1. Moira Conway --2 streets intersecting (intersecting lines); roof of our house (slope, angle); moon (sphere); (blade of grass (ray); petals of a flower (congruent); 2 electrical wires - power lines (parallel line segments); pine tree (cone shaped); a hill (an angle); creek (line segment); leaf (symmetrical); medial strip in street (line segment); lights at a traffic light (congruent); a bug on a tree (a point on a ray); orange (symmetrical); geese in flight (form an angle).
    2. Meghann Keppard -- stop sign (an octagon); traffic light (3 congruent circles); 2 walls of a room ( 2 planes intersecting in a line); street intersection (2 lines meeting at a point); houses (rectangles, squares or pentagons); some seashells (cone shaped); blackboards (congruent rectangles); t.v. (a cube); leaf (symmetrical). I think the intersection of streets is the "most geometric" because lines and points are used the most in geometry.
    3. Siobhan O'Brien -- sidewalk blocks (congruent shapes); acorn (symmetry); picket fences (parallel lines); leaves (symmetry); branches (line segments); blades of grass (line segments); sky (plane); roof tops (angles); sun (circle); roads (perpendicular & parallel lines); doors (rectangles); window panes (symmetry); human body (symmetry). I think the "most geometric" is the human body.
    4. Crista Palladino -- tree with branches ( a plane with lines extending outward); acorns on branches (points on lines); a flowing creek (a line extending infinitely); birds (symmetrical); open fields (plane); sun (circle with rays coming out).
    5. Kim Biedermann -- sun (sphere); turns in roads (angles); door frames (angles, straight edges); oranges (spheres); evergreen tree (cone shaped); ice cream cone (cone shaped); tire (circle); can (cylinder); CD (circle); stairs (angles); stop sign (octagon); rainbow (arc); locker (rectangle). I think the most geometric is the stairs because they're so exact.

    Keith Grove's Class

    John LoCicero
    Geometry, Per. 2
    September 12, 1994

    1. Open wooden rafters: parallel lines, three-dimensional solid (rect.)
    2. Windows with munions: perpendicularity, square and rectangular figs.
    3. Walls: rectangular, square, trapezoidal, quadrilateral (regular and irregular)
    4. Ceiling pitch: angularity, triangularity, right triangularity
    5. Flat ceiling and floors: Straight angles, parallel lines, rectangles and squares
    6. Floor boards: perpendicularity to baseboards and walls, parallel lines, rectangular shape (plane and solid)
    7. Cabinetry: rectangular surface area, rectangles in shape and shelving
    8. Rugs and carpeting: squares, rectangles, circles and ellipses
    9. Stairs: rectangles, squares, triangles, perpendicularity, cylindrical banister and supports with circular ending at base
    10. Stove: circular burners
    11. Sink: parabolic base, circular drains, cylindrical pipes for plumbing
    12. Chairs: cylindrical or rectangular supports that are perpendicular to each other, parallel back slates, spherical feet
    13. Tables: rectangular, circular or square tops, cylindrical or rectangular solid legs
    14. Beds: rectangular shapes for bed and supports and mattresses
    15. Doors: rectangular solids
    16. Roof: rectangular shingles, rectangular shape of roof, angles in pitch of the roof, slope
    17. Chimney: rectangular solid, bisects the side of the house into two triangles, known as a altitude
    18. Clapboards: rectangular solids, parallel lines
    19. Shape of house: rectangles; squares; perpendicular lines; transversals, angles (acute, obtuse, straight); bisectors; congruency of windows, sides of the house, garage door
    20. Wheels on car, etc.: circles, radii, diameter, chord, circumference, area, torus, radians, degrees, minutes, seconds, concentricity, arcs
    21. Funnels for liquids: conic figures
    22. Roads: parallel lines
    23. Power and telephone lines and poles: parallel lines, angles, transversals, interior and exterior angles, corresponding angles, straight angles, complementary and supplementary angles, cylinders
    24. Trees: perpendicularity, angles between branches and trunk, symmetry, angles of veins in leaves, triangular shape of evergreens with the trunk as a bisector
    25. Tennis, golf balls, etc.: circles, surface area and volume of spheres, hyperbolic functions
    26. Human body: A non-Euclidean figure in space
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1 July 1995