Designing a Playing Field for Putt-Putt Golf

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Table of Contents

Introduction
List of Observations
List of Prepositions
List of Steps for Solution
Design
Strengths and Weaknesses
Conclusion
References

Introduction

As part of this assignment, it was proposed to design a playing field for Putt-Putt Golf, a game in which one must consistently traverse nine holes to successfully complete. The main goal of the game, therefore, is to traverse the entire course in the minimum number of steps (Smugglers Cove, 2020). Creating a playing field is a demanding task that requires not only creative imagination but also mathematical calculations. This paper demonstrates the calculation of the Putt-Putt Golf course with all the requirements in mind.

List of Observations

The total area of the playing field is 108 m2.
The course contains nine holes.
A hole is not only the name of the hole in the ground where the ball is rolled but also the limited space for play that begins with hitting the ball and ends with hitting the ball in the hole (Quartuccio, 2018).
The course stands on a 0.1-meter-high concrete foundation.
Each hole in the ground requires a 0.108×0.108m concrete drill (Dethier, 2020).
The theme of the field is prismatic, so there must be a large number of corners and prismatic obstacles.

List of Prepositions

When designing, one Excel cell equals one meter — this allows for simulating a real field.
The ball can be hit obliquely between the cells — this does not interfere with play and creates an additional obstacle.
There are no additional objects other than nine holes and obstacle elements on the field — they do not fit under the conditions of the problem.

List of Steps for Solution

Then measure the course and create a rectangle.
Arrange the nine holes on the field in such a way that they are consecutive and have prismatic characteristics.
Calculate the areas of each well.
Calculate the area and then the volume of the concrete foundation.
Calculate the areas of the holes and adjust the playing surface.
Determine the types of obstacles.

Design

A schematic design of the playing field is shown in the figure below. The color differences show the various levels of play, nine in all. The black arrows show the player’s movement, with the end of the arrow showing the location of the hole. Since each cell is equal to 1 meter, the total size of this field is 12×9 meters or 108 m2. The placement of colored wells was motivated by creativity in synthesis with mathematical calculations, as each well had to consist of 12 cells while having no intersection with the others. As we can see, no nine holes are the same, so each one represents a certain level of difficulty for the player. On the green field, there is a three-meter bridge that connects the two sites. In addition, the organized movement in the holes is due to the presence of physical barriers, be they bushes, plastic prisms or mini-fences.

Since the area of the playing field is equal to the area of the concrete, and the depth of the foundation is equal to 0.1 m, the calculated volume of the concrete foundation was 10.8 m³ or 10800 liters. Nine square holes must be cut from this concrete bedding with dimensions 0.108×0.108: so, the volume of each hole equals 1.2 L. With this in mind, the corrected green lawn area should be 107.9, which is calculated as the field area minus the total area of the holes in the ground. Metal edging is used to delineate between the colored holes physically: this keeps the ball from rolling into other areas. Then the total length of such edging is calculated based on the total perimeter and the perimeter of each zone, but each neighborhood is counted once. It has been calculated that the length of the metal edging is 113 m.

Required field area (m2)	108.0
Real size of one Excel cell (m)	1.0
Dimensions of the designed field (m x m)	9×12
Actual field area (m2)	108.0
Area of one hole (m2)	12.0
Number of bridges	1.0
Number of corners per track	41.0
Total depth of concrete foundation (m)	0.1
Total area of concrete foundation (m2)	108.0
Total volume of concrete required (m3)	10.8
Size of each hole (m x m)	0.108×0.108
The area of each hole (m2)	0.0117
Volume of each hole (m3)	0.0012
The area of the artificial turf (m2)	107.9
Length of metal trim (m)	113
Length of bridge (m)	3

Strengths and Weaknesses

The designed course fully meets the initial requirement and is an exciting game of Putt-Putt Golf. All of the critical conditions have been met, but the issue of ground constraints can be more carefully developed for improvement. In particular, among the recommendations, a 3D model of this course could be constructed with such barriers mapped for visual simplification (Martin, 2018). Among the limitations of the model is the “close” proximity of the holes, which would create discomfort for multiple families playing at once. This can be improved by either increasing the size of the course or reducing the area of each hole, leaving free space between them. Some of the strengths include thoughtful design, precise adherence to the assignment, and creativity — in the real world, this creates an engaging and appealing game of Putt-Putt Golf.

Conclusion

In conclusion, it should be said that designing own Putt-Putt Golf course is a demanding task that requires mathematical knowledge. The calculation of the course is done according to the design requirements and includes the determination of the areas, volumes, and areas of the segments. One of the most challenging tasks is to simulate the nine holes so that they are consistent and possible for real play. The proposed design fully meets all the stated characteristics and will give players an unforgettable experience combined with a challenging difficulty.

References

Dethier, D. (2020). Here’s how you can build an epic backyard golf hole — with stuff you already own!Golf. Web.

Martin, D. (2018). 4 reasons to drive your 3d designs with engineering math software. Mathcad. Web.

Quartuccio, J. (2018). Mini golf rules. SportsRec. Web.

Smugglers Cove. (2020). Are you playing putt-putt or mini golf? Is there a difference? SC. Web.

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