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436,085 · Mark · "Illuminating-Tile" · Page 2
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formation, I construct each lens so that its periphery is composed of a series of plane surfaces, which correspond with the polygonal base thereof, and chamfer the intermediate angles, so as to merge them with said plane surfaces into the top or outer end.
    Having thus described my invention, what I claim is--
    1. A lens for illuminating-tiles whose bottom has an angular or polygonal form, whose top is of different shape therefrom, and whose peripheral side connecting the top and bottom is composed of a series of plane surfaces corresponding with the polygonal base, the intermediate angles being chamfered to merge with said plane surfaces into the top, substantially as and for the purpose specified.
    2. A lens for illuminating-tiles whose bottom has an angular or polygonal form, but whose top is circular, and its peripheral side connecting said top and bottom composed of a series of plane surfaces corresponding with
its polygonal bottom, the intermediate angles being chamfered to merge with said plane surfaces into the circular top, substantially as and for the purpose shown.
    3. An illuminating-tile provided with angular light-openings, each containing a lens of corresponding shape at its bottom, but having a top of different shape therefrom peripherally, the peripheral sides connecting said top and bottom being composed of a series of plane surfaces corresponding with the angular bottom, the intermediate angles being chamfered to merge with said plane surfaces into the circular top, substantially as and for the purpose set forth.
    In testimony that I claim the foregoing I have hereunto set my hand this 17th day of July, 1889.
JOHN W. MARK.
Witnesses:
    CHAS. W. MARK,
    WILLIAM ACKERMAN.