A mat ( 10 ) comprises an origin ( 54 ) that is positioned along one of a first axis ( 12 F) and a second axis ( 12 S); a first indicia that is positioned symmetrically relative to the origin ( 54 ); and a second indicia that is positioned symmetrically relative to only one of the axes. The first indicia can include a plurality of longitudinal lines ( 28 ) that are substantially parallel to one another. The plurality of longitudinal lines ( 28 ) can include (i) a longitudinal centerline ( 32 ), (ii) a pair of first longitudinal lines ( 34 ) that are equally spaced on either side of the longitudinal centerline ( 32 ), (iii) a pair of second longitudinal lines ( 36 ) that are equally spaced on either side of the longitudinal centerline ( 32 ), and (iv) a pair of third longitudinal lines ( 38 ) that are equally spaced on either side of the longitudinal centerline ( 32 ).
1. A mat including a first surface, the first surface having a first axis and a second axis that is orthogonal to the first axis, the mat comprising:
an origin that is positioned along one of the axes;
a first indicia that is positioned on the first surface, the first indicia being positioned symmetrically relative to the origin; and
a second indicia that is positioned on the first surface, the second indicia being positioned symmetrically relative to only one of the axes, the second indicia including at least three concentric circles.
2. The mat of claim 1 wherein the first indicia include a plurality of longitudinal lines that extend substantially parallel to one another, the plurality of longitudinal lines including at least (i) a longitudinal centerline, (ii) a pair of first longitudinal lines that are equally spaced on either side of the longitudinal centerline, (iii) a pair of second longitudinal lines that are equally spaced on either side of the longitudinal centerline, and (iv) a pair of third longitudinal lines that are equally spaced on either side of the longitudinal centerline.
3. The mat of claim 2 wherein the longitudinal centerline includes a first identifier, and the pair of first longitudinal lines include a second identifier that is different than the first identifier.
4. The mat of claim 2 further comprising a plurality of transverse lines that are substantially equally spaced apart from and substantially parallel to one another, the plurality of transverse lines being substantially perpendicular to the plurality of longitudinal lines, the plurality of transverse lines including at least a transverse centerline that intersects with the longitudinal centerline to define the origin at a geometric center of the mat.
5. The mat of claim 1 wherein the origin is at a geometric center of the mat, and wherein the first indicia include a plurality of radial lines that extend outwardly away from the origin toward a perimeter of the mat.
6. The mat of claim 5 further comprising a pair of first symbols that are positioned on the first surface, the first symbols being positioned symmetrically relative to the origin, each of the first symbols being positioned along one of the radial lines.
7. The mat of claim 1 wherein the concentric circles have a center that is positioned away from a geometric center of the mat.
8. The mat of claim 1 wherein the second indicia includes a discontinuous fourth concentric circle having a portion that extends adjacent to a perimeter of the mat.
9. The mat of claim 1 further comprising a third indicia that is positioned on the first surface, the third indicia being positioned symmetrically relative to only one of the axes, wherein the third indicia include a plurality of first angular lines each having a first end positioned along the second axis and near a perimeter of the mat.
10. The mat of claim 9 further comprising a fourth indicia that is positioned on the first surface, the fourth indicia being positioned symmetrically relative to only one of the axes, wherein the fourth indicia include a pair of sinusoidal waves that extend along and are centered about the first axis.
11. The mat of claim 1 further comprising a third indicia that is positioned on the first surface, the third indicia being positioned symmetrically relative to only one of the axes, wherein the third indicia include a pair of sinusoidal waves that extend along and are centered about the first axis.
12. A mat comprising:
a first surface that is substantially rectangular in shape, the first surface including a first end, an opposed second end, a first side, an opposed second side, a first axis and a second axis that is orthogonal to the first axis;
a plurality of longitudinal lines that extend substantially from the first end to the second end, the plurality of longitudinal lines being substantially parallel to one another, the plurality of longitudinal lines including (i) a longitudinal centerline including a first identifier, (ii) a pair of first longitudinal lines that are equally spaced on either side of the longitudinal centerline, the first longitudinal lines including a second identifier that is different than the first identifier, (iii) a pair of second longitudinal lines that are equally spaced on either side of the longitudinal centerline, the pair of second longitudinal lines including a third identifier that is different than the first identifier and the second identifier, and (iv) a pair of third longitudinal lines that are equally spaced on either side of the longitudinal centerline, the pair of third longitudinal lines including a fourth identifier that is different than the first identifier, the second identifier and the third identifier;
a plurality of transverse lines that are substantially equally spaced apart from and substantially parallel to one another, the plurality of transverse lines being substantially perpendicular to the plurality of longitudinal lines, the plurality of transverse lines including at least a transverse centerline that intersects with the longitudinal centerline to define an origin at a geometric center of the mat;
a plurality of radial lines that extend outwardly away from the origin toward a perimeter of the mat, the radial lines being positioned symmetrically relative to the origin;
a pair of first symbols that are positioned on the first surface, the first symbols being positioned symmetrically relative to the origin, each of the first symbols being positioned along one of the radial lines;
at least three concentric circles having a center that is positioned away from the geometric center of the mat;
a discontinuous fourth concentric circle having a portion that extends adjacent to a perimeter of the mat;
a plurality of first angular lines each having a first end positioned along the second axis and near the perimeter of the mat along the first side;
a plurality of second angular lines each having a first end positioned along the second axis and near the perimeter of the mat along the second side; and
a pair of sinusoidal waves that extend along and are centered about the first axis, the sinusoidal waves intersecting one another and being 180 degrees out of phase relative to one another.
13. A mat including a first surface, the first surface having a first axis and a second axis that is orthogonal to the first axis, the mat comprising:
an origin that is positioned along one of the axes;
a first indicia that is positioned on the first surface, the first indicia being positioned symmetrically relative to the origin; and
a second indicia that is positioned on the first surface, the second indicia being positioned symmetrically relative to only one of the axes, the second indicia including a plurality of first angular lines each having a first end positioned along the second axis and near a perimeter of the mat.
14. The mat of claim 13 wherein adjacent first angular lines are spaced apart from one another by angles of approximately fifteen degrees.
15. The mat of claim 13 wherein the mat is substantially rectangular having a first side and an opposed second side, and wherein the plurality of first angular lines each have a first end positioned along the second axis and near the perimeter of the mat along the first side, the mat further comprising a plurality of second angular lines each having a first end positioned along the second axis and near the perimeter of the mat along the second side.
16. The mat of claim 13 wherein the first indicia include a plurality of longitudinal lines that extend substantially parallel to one another, the plurality of longitudinal lines including at least (i) a longitudinal centerline, (ii) a pair of first longitudinal lines that are equally spaced on either side of the longitudinal centerline, (iii) a pair of second longitudinal lines that are equally spaced on either side of the longitudinal centerline, and (iv) a pair of third longitudinal lines that are equally spaced on either side of the longitudinal centerline.
17. The mat of claim 13 further comprising a third indicia that is positioned on the first surface, the third indicia being positioned symmetrically relative to only one of the axes, wherein the third indicia include a pair of sinusoidal waves that extend along and are centered about the first axis.
18. A mat including a first surface, the first surface having a first axis and a second axis that is orthogonal to the first axis, the mat comprising:
an origin that is positioned along one of the axes;
a first indicia that is positioned on the first surface, the first indicia being positioned symmetrically relative to the origin; and
a second indicia that is positioned on the first surface, the second indicia being positioned symmetrically relative to only one of the axes, the second indicia including a pair of sinusoidal waves that extend along and are centered about the first axis.
19. The mat of claim 18 wherein the sinusoidal waves intersect one another and are approximately 180 degrees out of phase relative to one another.
20. The mat of claim 18 wherein the sinusoidal waves cooperate to form a plurality of ellipse-type shapes on the first surface, wherein a longitudinal center of a middle ellipse-type shape is located at the origin, and wherein the origin is defined along the first axis between a first edge and an opposed second edge of the mat such that a ratio of a first distance from the first edge to the second edge to a second distance from the first edge to the origin is approximately equal to a golden ratio of 1.618:1.
21. The mat of claim 18 wherein the first indicia include a plurality of longitudinal lines that extend substantially parallel to one another, the plurality of longitudinal lines including at least (i) a longitudinal centerline, (ii) a pair of first longitudinal lines that are equally spaced on either side of the longitudinal centerline, (iii) a pair of second longitudinal lines that are equally spaced on either side of the longitudinal centerline, and (iv) a pair of third longitudinal lines that are equally spaced on either side of the longitudinal centerline.