Friday, October 26, 2012

Squaring Angles: Simple Measuring Method for Perspective Drawing

The problem considered here is how to arrive at the fastest and an accurate measure of distance in perspective drawing to enhance creative drawing. Most artist and all architects are familiar with linear perspective that allows them to render very realistic drawings. There are many approaches to this method with various degrees of accuracy. Typically, most artist use perspective intuitively to give their subjects some degree of realism, however, in some cases, a composition requires a greater degree of accuracy and this is what is addressed here. Therefore, some measuring is required by this solution, but if you have used the most common measuring method, then you will see that this method is faster and has less measuring with the same accracy as the common.

This solution assumes you are familiar with perpcetive drawing and basic terms, so a few terms will suffice here to explain the solution. Terms:

PP or Picture Plane: This is the actual 2D picture surface such as a 18" X 24" drawing paper.

SPL or Scaling Plane Line: This is the bottom of the Picture Plane which runs horizontally across the entire paper.

HL or Horizon Line: This is the line that represents the horizon on the Picture Plane where the sky meets the ground.

SP or Scaling Plane: This is the horizontal plane that runs from the Scaling Plane Line to the Horizon Line and is the same elevation for the entire distance.

CSPLP or Central Scaling Plane Point: This is the point located at the center of the Picture Plane on the Scaling Plane Line.

CVP or Central Vanishing Point: This is the central point on the Horizon Line. A perpendicular line can be drawn to connect the CVP and CSPLP.

Lines of Reccession: These lines connected to any line segment in the picture plane and which recede to a vanishing point represent equal size of the original line segment although each line segment as it recedes on the Picture Plane actually gets smaller and smaller.

The solution to Square the Scaling Plane:

Take a peice of paper. Draw a Horizon Line at the center. You can draw the Horizon Line below or above the center, but for this example, just start at the center. Then draw lines of recesssion from the far left and right corners of the Scaling Plane Line to the Central Vanishing Point. This is a basic set up for a perspective drawing.

The Scaling Plane Line represents some actual distance, therefore, at some distance between the Scaling Plane Line and the Horizon Line along the Lines of Recession there is a distance which respresents the Scaling Plane Line has been squared. At that point a line segment that runs parrallel to the Scaling Plane Line and connects the two Lines of Reccession will be drawn. This is the first square and the distance can be determined using Squaring Angles from the Central Scaling Plane Line Point (CSPLP). The first Squaring Angle is 50 Degrees. Simply take a protractor and mark a 50 Degree Angle on the right side of the CSPLP and connect a line to the Right Line of Recession. At that intersection is the first square. All the remaining squares of the Scaling Plane Line follow the same rule, but with different Squaring Angles. This holds true for any Horizon Line level or size paper.

Squaring Angles:

1) 50 Degrees
2) 67.5 Degrees
3) 74 Degrees
4) 78 Degrees
5) 81 Degrees
6) 82 Degrees
7) 83.5 Degrees
8) 85 Degrees
9) 85.5 Degrees
10) 86 Degrees
11) 86.5 Degrees
12) 87 Degrees
13) 88 Degrees
14) 88.5 Degrees
15-25) 88.75 - 90 Degrees

Friday, August 3, 2012

Solution to Sustainable Population Density Problem

Statement of Problem:

For any given area(rural or urban), what means should be used to determine what its population density should be?


(T - B) divided by E = H

( T) be Total land area of Earth
(B) be Biodiversity Factored land area of Earth
(E) be Earth's estimated Peak Population Density
(H) be Standard Population Density

Population density should be determined by any area's ability to self-sustain itsself. Self-sustainability is defined as an area that can produce and renew all resources necessary for its own survival and prosperity within the confines of its own land area. This also means that one area cannot hinder another area's ability to self-sustain. Therefore, the Standard Population Density, H, is based upon self-sustainability. If an area cannot self-sustain, then it must have a higher population density than the Standard Population Density, because some other will have to supply its resources. Conversely, an area that self-sustains and supplies a non-self-sustaining area will have a lower population density than the Standard Population Density.

The Biodiversity Factored land area of Earth, B, is the amount of land necessary for all life on Earth to survive and prosper. This factor recognizes that not all of Earth's land area can or should be exploited. Therefore, some amount of land must be deducted from Earth's total land area for all of Earth's organisms, biomass, and biodiversity.

The Total Land Area of Earth, T, is a generally accepted aproximation of 36 billion acres which includes both extremely arable land to extremely arid and all types of ecosystems.

Earth's Estimated Peak Population Density, E, is the generally accepted figure of 9 billion people. The current population of Earth is aproximately 7 billion people and growing, and while some people may argue that the population is too high, it is fair to say most people don't want thier own self or anyone they care about to be the ones to give up their lives for some lower population. Therefore, the Peak Population is set at a figure which will most likely stabilize at 9 billion. This figure can be theorically supported by Earth's resources if resources are not wasted.

Two realted problems remain to be solved:
1) Determine if Earth's Peak Population Density, E, is really 9 billion people, and if it is not and is higher than 9 billion, determine if Earth can sustain a higher peak and for how long.

2) Determine the Biodiversity Factored Land Area of Earth.B

I don't have a solution to E, but I have a conjecture for B. My conjecture is 34.5 billion acres for B. This figure was derived by several considerations. First, extremely arid land areas including mountain peaks, various parts of deserts, Artic regions, Anartica, and other rough terrains were deducted from T. Secondly, extremely biodiverse areas and unique ecosystems were deducted from T. Third, wildlife and ecosystem corridors were deducted from T. Fourth, I deducted extra for natural reserves. Fifth, I deducted the actual amount necessary for human survival and propsperity in a sustainable community which I set at 1.5 billion acres for 9 billion people. This fit my equation because T- B = 1.5 billion acres.

Saturday, December 31, 2011

Isolated Quarks, Magnetic Monopoles, and Dark Matter

The obvious answers to the universe's most precious knowledge often goes overlooked while we search for more exotic answers to our questions. Perhaps some of humanity's great accidental discoveries have occurred by taking this approach but perhaps it has added more distance and time to some journeys. Therefore, I propose a search for the answers that lay beneath our noses.

This search will yield many fascinating results. In this search, I propose these theories to help answer many fundamental problems of physics:
1) Magnetic monopoles exist but behave differently than magnetic dipoles.
2) Isolated Quarks are magnetic monopoles.
3) Dark matter is composed of Isolated Quarks.
4) The Strong Interaction is actually a magnetic field created when magnetic monopoles come in direct contact.
5) Isolated Quarks behave differently than Quarks contained with Hadrons.
6) Isolated Quarks are only affected by gravity.
7) More Isolated Down Quarks exist in the present universe as well as the past.

Magnetic monopoles are non-linear magnetic points, and, as such, must come in direct contact with another magnetic monopole in order to repel or attract. Magnetic monopoles possess a constant magnetic charge which cannot be dissipated. A magnetic monopole cannot decay to another pole when it is isolated. Magnetic monopoles have a neutral electric charge. Therefore, Isolated Magnetic Monopoles only experience the force of gravity, because their basic properties nullify the other three fundamental forces.

Isolated Quarks are Isolated Magnetic Monopoles. When like Isolated Quarks come into direct contact they repel each other by the Strong Interaction. Unlike Isolated Quarks attract and forge a bond when they come into direct contact by the Strong Interaction. This interaction of unlike quarks is difficult to break and forms the basis of hadrons. The Weak Interaction and Electromagnetic Force are products of these bound Quarks called hadrons.

Dark Matter is composed of these Isolated Quarks, and most of these are Isolated Down Quarks. However, a smaller portion of Dark Matter is composed of Isolated Up Quarks. When these unlike Isolated Quarks meet in the quantum vacuum of space, they form new normal matter which is mostly in the form of Hydrogen-1.

Given the predominance of Isolated Down Quarks, more neutrons initially form when unlike Isolated Quarks meet, and these neutrons quickly decay into protons while emitting electrons and antineutrinos. If this process occurs in a localized area of space, then a hydrogen gas cloud forms which can coalesce into a Dark Galaxy. These Dark Galaxies can give birth to new stars and ultimately form mature galaxies.

Sunday, October 23, 2011

New Economic Model: About True Resource Efficiency

True resource efficiency is a method of trade that correctly values the economy based on actual resource use. If the model of true resource efficiency is adopted, then corrupt economic practices will diminish because the system is not abstract in nature. True resource efficiency is like looking at a realistic painting of nature. You can see the actual object. The abstract painting, however, is subject to interpretation, maybe you know what it is and maybe you don't. In art, it may be acceptable to allow abstract art as a true art form, but abstract economics are always unacceptable, because they allow interpretation which obscures true value.

True resource efficiency emerged out of common sense. It was originally based upon a single premise,

"If a product can be made locally, then it will require less resources to make and distribute to the same local market than shipping a similar product from a distant market." 

I determined that all trade should seek to eliminate waste at every level, and by doing so, it will create a stronger and more compact regionally market driven economy that will spur innovation and self sufficiency.

Read about the 9 core concepts of True Resource Efficiency.

Friday, October 14, 2011

Fictional Works: Enter Imagination

I began the story of Enter Imagination in the early 1990's, but it went through various transformations until I finally completed it in 2011. It all started as a super powered comic idea with a classic good guy versus bad guy. The good guy was called Captain Elite and the original manifestation of his character gave him some of the most powerful abilities one could imagine. His arch rival was equally powerful, and I called him Bad Axe-man. Bad Axe-man came from the term "Bad Ass man".

As time went on I developed the story of Enter Imagination over and over again, but I never felt satisfied with the classic battle type between two mutually powerful enemies. I, therefore, decided to strip Captain Elite of most of his power and endowed Bad Axe-man with nearly infinite powers. This became the final version.

Enter Imagination is really a dark story that offers very little hope. It starts bad and even during victory, good does not prevail completely. I think the story mirrors life in the fact that life must struggle to survive against a hostile and ever present threat of conflicting forces.

The story is short. It is only a little more than 7,000 words published in 35 parts. There are five series written in a narrative style. Each series is told by a different voice. The first is told by Captain Elite. It begins with this entry:
Flash Fiction by Gothic Green

The other 34 parts can be found in the Flash Fiction by Gothic Green blog archive. Hope you enjoy the story.

Saturday, September 24, 2011

About Green Cafe` Concepts

I often thought of a cafe` chain built around a seasonal menu and locally produced foods. I thought the business could operate under a brand name, yet offer variety based on the local area. This concept would differ from the typical food service chains by offering a unique experience in every single location that reflected the geographic area and its culture. The name and management of the chain would signal quality at every location, so people would know what to expect. "The menu is different at each location, but the quality remains high."

I knew I had to articulate the cafe as a system that could be easily adopted and duplicated by others to simply the conversion process, so I studied existing restaurants and made my assessments. I found some restaurants were already operating under some form of my concept, but the vast majority did not. Most did not come close.

The Formula of Sustainable Design enabled me to express the concept more easily. The Formula can be used for any business, but I expressed it using the food service business in many places. Ultimately, I wrote the blog, "Green Cafe Concepts" to present my completed system of a cafe that is both seasonal and local. There are 34 posts which provide much knowledge and ideas that others can use to build their own brand. Read it @

I have worked in food service and farming for more than ten years all together. I grew up on a commercial factory farm and studied agricultural classes in school. I have helped open one cafe in the 1990's and I have worked at several corporate and family owned restaurants. The main thing I have learned is how inefficient most farms and restaurants really are, and how they can be made more efficient by considering true resource efficiency.  

Thursday, September 22, 2011

About the Stock Valuations

Gothic Green began publishing stock valuations using the Formula of Sustainable Design to show a better valuation of the market. The blog values several companies as examples of how the system of using the Formula of Sustainable Design works.

My assertion before the market correction which began in 2008 was correct. I had asserted that the market as a whole was overvalued. This is still true. I examined companies on the basis of "True Resource Efficiency" many years ago before I completely articulated the complete Formula, and this enabled me to see many companies were overvalued by simply observing their basic operational models.

I also used the Formula to measure and value real estate, and that too was deemed overvalued. I remember in the 1990's real estate gurus were telling people that real estate was the best investment ever. They promised 5% compounding yearly returns which I disagreed with. They also advocated the policy of systematically raising rental rates each year without adding any real value. This problem was compounded by flipping properties. Overall, real estate investors bought properties, let them run down, and expected them to increase in value just because they owned them.

I correctly predicted that real estate values would increase beyond affordability and the market would collapse.

I intended to publish the stock valuation to help guide people away from bad investment choices while giving them a Formula and system to use to value investments properly.

Read the Stock Valuation Blogs: