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    Polygonal Laminae

    Named laminae

    30-60-90 triangle | 3, 4, 5 triangle | diamond | equilateral triangle | inverted equilateral triangle | golden rectangle | golden rhombus | golden triangle | half rectangle | half square | hexagram | isosceles pentagon | isosceles right pentagon | isosceles right triangle | isosceles trapezoid | isosceles triangle | Kepler triangle | kite | lozenge | monokite | ... (total: 58)

    Definitions

    Definitions 30-60-90 triangle

    Definitions 3, 4, 5 triangle

    Definitions Diamond

    Defining inequalities

    y>=0 and sqrt(3) a>=2 (sqrt(3) x + y) and x>=0

    y>=0 and 12 a>=3 x + 4 y and x>=0

    abs(x)/a + abs(y)/b<=1

    sqrt(3) (a + 3 x)>=3 y and sqrt(3) a + 6 y>=0 and sqrt(3) a>=3 (sqrt(3) x + y)

    sqrt(3) (a + 3 x)>=-3 y and sqrt(3) a>=6 y and sqrt(3) a + 3 y>=3 sqrt(3) x

    -a/2<=x<=a/2 and -(a Ï•)/2<=y<=(a Ï•)/2

    2 (1 + sqrt(5)) a + sqrt(2 (5 + sqrt(5))) (2 x + sqrt(5) y + y)>=0 and 2 (1 + sqrt(5)) a + sqrt(2 (5 + sqrt(5))) (-2 x + sqrt(5) y + y)>=0 and 2 sqrt(5 (5 + sqrt(5))) a>=5 sqrt(2) (2 x + sqrt(5) y + y) and 2 (1 + sqrt(5)) a>=sqrt(2 (5 + sqrt(5))) (-2 x + sqrt(5) y + y)

    -a/2<=x<=a/2 and 0<=y<=1/2 sqrt(5 + 2 sqrt(5)) a (1 - 2 abs(x/a))

    -a/2<=x<=a/2 and 0<=y<=b/2

    -a/2<=x<=a/2 and 0<=y<=a/2

    Alternate names

    sublime triangle

    Magen David | Mogen David | shield of David | six-point star | six-pointed star | Solomon's seal | star of David

    isosceles trapezium

    eight-point star

    horizontal isosceles triangle

    five-point star | pentacle | pentalpha | pentangle

    equiangular rectangle

    regular septagon

    diamond | equilateral parallelogram | rhomb

    right trapezium

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