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    Hexagram

    Definition

    Defining inequalities

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

    Alternate names

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

    Lamina properties

    (0, a/sqrt(3)) | (-a/6, a/(2 sqrt(3))) | (-a/2, a/(2 sqrt(3))) | (-a/3, 0) | (-a/2, -a/(2 sqrt(3))) | (-a/6, -a/(2 sqrt(3))) | (0, -a/sqrt(3)) | (a/6, -a/(2 sqrt(3))) | (a/2, -a/(2 sqrt(3))) | (a/3, 0) | (a/2, a/(2 sqrt(3))) | (a/6, a/(2 sqrt(3)))

    12

    a>0

    A = a^2/sqrt(3)

    x^_ = (0, 0)

    Mechanical properties

    J_x invisible comma x = (11 a^4)/(216 sqrt(3))

    J_y invisible comma y = (11 a^4)/(216 sqrt(3))

    J_zz = (11 a^4)/(108 sqrt(3))

    J_x invisible comma y = 0

    r_x = 1/6 sqrt(11/6) a r_y = 1/6 sqrt(11/6) a

    Distance properties

    a/3 | a/3 | a/3 | a/3 | a/3 | a/3 | a/3 | a/3 | a/3 | a/3 | a/3 | a/3

    p = 4 a

    R = a/sqrt(3)

    (2 a)/sqrt(3)

    Classes

    concave laminae | equilateral polygonal laminae | polygonal laminae | regular star polygonal laminae

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