Designs on a sphere that exhibit spin induced contrast
First Claim
1. A ball with markings that exhibit spin induced contrast comprising:
- a layout pattern that corresponds to the diameter of the ball, the layout pattern prepared from plurality of symmetrically arranged geodesics, wherein the number of geodesics is selected from the group consisting of 6, 9 and 15 and wherein the layout pattern has a plurality of vertices and a plurality of triangular elements;
a ball color; and
a plurality of markings located on the ball on the basis of the layout pattern, wherein the plurality of markings are colored a marking color which contrasts the ball color and the plurality of markings exhibit a spin induced contrast line when the ball is rotated about any axis of rotation and wherein the plurality of markings incorporate a majority of the geodesics.
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Abstract
A methodology is disclosed for arranging markings on a ball or sphere where the markings exhibit spin induced contrast when the ball or sphere is rotated at a sufficient speed. The methodology is based on a layout utilizing a plurality of geodesic lines symmetrically arranged around the ball or sphere. Various markings can then be applied on the basis of the layout such that when the ball or sphere is rotated, the markings form contrast lines that are perpendicular to the axis of spin of the ball or sphere, at any axis of spin. These contrast line allow an observer to more accurately detect the axis of spin of the ball or sphere as well as track the ball or sphere in motion.
42 Citations
35 Claims
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1. A ball with markings that exhibit spin induced contrast comprising:
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a layout pattern that corresponds to the diameter of the ball, the layout pattern prepared from plurality of symmetrically arranged geodesics, wherein the number of geodesics is selected from the group consisting of 6, 9 and 15 and wherein the layout pattern has a plurality of vertices and a plurality of triangular elements; a ball color; and a plurality of markings located on the ball on the basis of the layout pattern, wherein the plurality of markings are colored a marking color which contrasts the ball color and the plurality of markings exhibit a spin induced contrast line when the ball is rotated about any axis of rotation and wherein the plurality of markings incorporate a majority of the geodesics. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17)
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18. A method of marking a ball with markings that exhibit a spin induced contrast line comprising the steps of:
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a) selecting a Coxeter Complex pattern from the group consisting of A3, B3 and H3, which includes a plurality of geodesics and a plurality of geodesic vertices; b) plotting the selected Coxeter Complex pattern over the surface of the ball; c) selecting markings that incorporate a majority of the geodesics and that will exhibit spin induced contrast; and d) applying to the surface of the ball the markings selected wherein the location of the markings is correlated with the selected Coxeter Complex pattern and wherein the markings contrasts the ball. - View Dependent Claims (19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29)
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30. A ball with markings that exhibit spin induced contrast comprising:
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a ball color; and a plurality of triangular markings on the ball colored a marking color that contrasts the ball color, wherein the triangular markings are substantially uniformly scaled from triangular elements of a Coxeter Complex pattern corresponding to the diameter of the ball selected from the group consisting of A3, B3 and H3 and wherein the triangular markings are arranged on the ball to be substantially centered in the triangular elements of the selected Coxeter Complex pattern. - View Dependent Claims (31, 32, 33, 34, 35)
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Specification