Apparatus and method 3d artificial hyperbolic reef for affecting surface waves

Abstract

A 3D artificial hyperbolic reef system for producing plunging or barreling waves for surfing in a body of water propagates waves over a 3d hyperbolic reef which forms a wave breaking surface which has a slope sufficient to cause the waves to break in a plunging and barreling way as the waves traverse the 3d hyperbolic reef. The waves are artificial generated by a wave generating machine or device with a slope sufficient to break in a plunging and barreling way. Multiple waves are generated in a set frequency from the wave generator along the wave generator house (berm) side of the 3d artificial hyperbolic reef to produce a wave that peels laterally along the reef to produce a wave suitable for tube riding. Aspects of the invention provide a wave surf pool including at least one 3D hyperbolic artificial reef. The 3D artificial reef can include an inclined slope traversing the reef from the tip of the 3D hyperbolic reef to the open end, or the back side of the 3D hyperbolic reef.

1 - 30 . (canceled) 
     
     
         31 . A 3D artificial Hyperbolic triangle shaped reef for affecting surface waves propagating along a surface of a body of water, the reef comprising an inclined upper surface that could include a plurality of circular structures, the reef being submergible in the body of water such that the waves are able to propagate over the hyperbolic reef, and such that the upper surface faces towards the waves as the waves propagate towards the reef. The 3D artificial hyperbolic reef can be shaped in many different forms and shapes. The preferred shape of the hyperbolic reef is a triangle hyperbolic triangle shape. The hyperbolic reef can also be in 2D (two dimensional form). 
     
     
         32 . The 3D artificial Hyperbolic Triangle shaped reef of  claim 31 , further comprising a 3 dimensional hyperbolic artificial reef. The 3D artificial hyperbolic reef will be shaped in a hyperbolic triangle manner. In hyperbolic geometry, a hyperbolic triangle is a figure in the hyperbolic plane, analogous to a triangle in Euclidean geometry, consisting of three sides and three angles. The relations among the angles and sides are analogous to those of spherical trigonometry; they are most conveniently stated if the lengths are measured in terms of a special unit of length analogous to a radian. In terms of the Gaussian curvature (K) of the plane this unit is given by. In all the trig formulas stated below the sides a, b, and c must be measured in this unit. In a hyperbolic triangle the sum of the angles A, B, C (respectively opposite to the side with the corresponding letter) is strictly less than a straight angle. The difference is often called the defect of the triangle. The area of a hyperbolic triangle is equal to its defect multiplied by the square of R:
 A characteristic property of hyperbolic geometry is that the angles of a triangle add to less than a straight angle. In the limit as the vertices go to infinity, there are even ideal hyperbolic triangles in which all three angles are   Distances in the hyperbolic plane can be measured in terms of a unit of length, analogous to the radius of the sphere in spherical geometry. Using this unit of length a theorem in hyperbolic geometry can be stated which is analogous to the Pythagorean theorem. If a, b are the legs and c is the hypotenuse of a right triangle all measured in this unit then:   The cosh function is a hyperbolic function which is an analog of the standard cosine function. All six of the standard trigonometric functions have hyperbolic analogs. In trigonometric relations involving the sides and angles of a hyperbolic triangle the hyperbolic functions are applied to the sides and the standard trigonometric functions are applied to the angles. For example the law of sines for hyperbolic triangles is:   Unlike Euclidean triangles whose angles always add up to 180° or π radians the sum of the angles of a hyperbolic triangle is always strictly less than 180°. The difference is sometimes referred to as the defect. The area of a hyperbolic triangle is given by its defect multiplied by R 2  where. As a consequence all hyperbolic triangles have an area which is less than R 2 π. The area of an ideal hyperbolic triangle is equal to this maximum. As in spherical geometry the only similar triangles are congruent triangles.   
     
     
         33 . The 3D artificial Hyperbolic reef of  claim 31 , further comprising: The 3D hyperbolic triangle artificial reef causes the wave to split down the middle and causes the wave to break into two separate waves a left barreling wave and a right barreling wave. 
     
     
         34 . The 3D Artificial hyperbolic triangle reef of  claim 31 , further comprising: The circular structures are fixed to the top of the reef; however the circular structures can also have a detachable feature. 
     
     
         35 . The 3D Artificial Hyperbolic triangle Reef of  claim 31 , further comprising: The 3D artificial reef functions in a hyperbolic fashion as the wave leaves the wave generator apparatus and as the wave transverses over the hyperbolic shaped reef the wave will travel along the hyperbolic reef until it finds its breaking point. 
     
     
         36 . The 3D Artificial Hyperbolic Triangle reef of  claim 31 , further comprising: The 3D hyperbolic reef becomes hyperbolic, (hyperbolic function) because it shapes and twists to the increasing contour of the surf pool, lake, lagoon, or pond bottom. The twisting shaping of the hyperbolic shaped reef is what causes the breaking of the wave in different breaking forms and in different water depths. 
     
     
         37 . The 3D Artificial Hyperbolic Triangle Reef of  claim 31 , further comprising: The 3D hyperbolic artificial reef of claim  1 , wherein the upper surface includes an upper end, and a lower end, and wherein the circular structures extend from the upper end to the lower end, parallel to each other. 
     
     
         38 . The 3D Artificial Hyperbolic Triangle Reef of  claim 31 , further comprising: The hyperbolic artificial reef of any one of the preceding claims, wherein the circular structures are spaced apart from each other. 
     
     
         39 . The 3D Artificial Hyperbolic Triangle Reef of  claim 31 , further comprising: The 3D artificial hyperbolic reef wherein the circular structures are hollow. 
     
     
         40 . The 3D Artificial Hyperbolic Triangle Reef of  claim 31 , further comprising: The 3D hyperbolic artificial reef of any one of the preceding claims, wherein each of the circular structures has a profile selected from the group comprising: a straight linear profile; a T- shaped profile; a profile including a circular portion and a straight linear portion extending from the circular portion; a triangular profile; a circular profile; and a rectangular or square profile. 
     
     
         41 . The 3D Artificial Hyperbolic Triangle Reef of  claim 31 , further comprising: The 3D hyperbolic artificial reef wherein each of the circular structures includes a pipe or tube, made from PVC or Bamboo or other similar shaped and hollow structures or material. 
     
     
         42 . The 3D Artificial Hyperbolic Triangle Reef of  claim 31 , further comprising: The 3D hyperbolic artificial reef can be anchored to the surf pool bottom by cement anchor stations or by other securing methods. The 3D Hyperbolic reef can also be made to contour natural to the bottom of the surf pool, lake, pond, river or lagoon. 
     
     
         43 . The 3D Artificial Hyperbolic Triangle Reef of  claim 31 , further comprising: The 3D hyperbolic artificial reef increases and sustains the height of the wave as it travels over the upper surface of the reef. 
     
     
         44 . The 3D Artificial Hyperbolic Triangle Reef of  claim 31 , further comprising: The 3D artificial hyperbolic reef improves the plunging and barreling shape of the wave as it passes over the upper surface of the reef. 
     
     
         45 . The 3D Artificial Hyperbolic Triangle Reef of  claim 31 , further comprising: The 3D artificial hyperbolic reef maintains the shape and form of the wave as it passes over the surface of the reef. 
     
     
         46 . The 3D Artificial Hyperbolic Triangle Reef of  claim 31 , further comprising: The 3D hyperbolic artificial reef has different slopes that transverse back from the front of the solid reef that affect the shape, size and form of the wave as the wave passes over the reef surface. 
     
     
         47 . The 3D Artificial Hyperbolic Triangle Reef of  claim 31 , further comprising: The 3D hyperbolic artificial reef has different slopes that transverse down the back side of the reef into deeper water that affect the shape size and form of the wave as it passes over the reef surface. 
     
     
         48 . The 3D Artificial Hyperbolic Triangle Reef of  claim 31 , further comprising: There are different shaped and designed 3D hyperbolic artificial reefs that are placed strategically within the surf pool. Lagoon, lake or pond or river, that create different waves at different points in the surf pool. By placing these reefs at different points and depths and locations within the surf pool create different waves for different levels of surfers. 
     
     
         49 . The 3D Artificial Hyperbolic Triangle Reef of  claim 31 , further comprising: The surf pool contains multiple 3D artificial hyperbolic triangle reefs or other shaped hyperbolic reefs that are strategically placed in the surf pool to maximize the number of surfers that can surf in the surf pool at one time. 
     
     
         50 . The 3D Artificial Hyperbolic Triangle Reef of  claim 31 , further comprising: The elongated front part of the 3D artificial hyperbolic reef causes the wave to break slightly or gradually allowing surfers to easily catch and drop in on the wave before the wave accelerates.