Category: ‘Investors’

John Robertson is in way over his head

June 8, 2011 Posted by +Sharpshooter+

Who is your nearest competitor and in what ways is your engine superior to theirs?

There is no competitor for our Rotapower engine. Should someone else may attempt to build, our advantages would be in three areas:

  1. Over $250 million has been expended on the charge cooled rotor design of the engines we acquired the rights to. We also expended $35 to $50 million. The catch-up cost of a competitor gives us an enormous advantage.
  2. Our parallel path rotor-cooling patent eliminates side loading on the rotor and distortion of the rotor bearing. These are the denominate areas of wear in prior charge cooled rotor engines.
  3. Our patent applied for on the compound engine.

 

This was taken from Dr Paul Moller who is developing the Skycar. http://www.rotapower.net

This is what John Robertson is up against.  I have been tracking Mollers progress with his version of the Wankel.  The compound engine is a big step in the right direction for any kind of engine.  The Engineers that John contracted went in the opposite direction from the “compounding”.

John should retire and let some top gun take over.  Thats RegTech’s only chance.

Thursday, 1 January 2009

I have a good feeling about this year
Mood: a-ok
Topic: Fuel Efficiency
MOLLER INTERNATIONAL ACHIEVES BREAKTHROUGH IN ROTARY ENGINE PERFORMANCE

 

These guys are on the right track.  This is a summary of the press release;

Davis, CA, May 14, 2008 – Moller International (OTC-BB: MLER) announced today that it has achieved a major breakthrough in rotary engine performance. A version of the Company’s Rotapower® engine is designed in such a way that the engine’s two rotors operate in series rather than parallel. This design allows the first compressor/expansion rotor to supercharge the second power rotor while the exhaust from the power rotor is further expanded in the compressor/expansion rotor, extracting additional power. In effect, the engine operates in what is termed a compound cycle. Because of the additional energy captured from the exhaust gases, engine noise is reduced by 93% and exhaust temperature is reduced by 47%. Moller International’s non-compounded Rotapower® rotary engine has already demonstrated a fuel consumption 12% below that of the new Mazda Renesis rotary engine. Compounding is expected reduce the Rotapower® engine’s fuel consumption by an additional 25%.

The Wankel still suffers from a geometry problem that is similar to the piston engine and it would be difficult to over come with super charging or turbo charging.  However the compounding effect is a step in the right direction.  My version has this effect but it does not need the exhaust recirculation.  This wasted exhaust is from the bad geometry and to get rid of the waste the geometry has to be changed.

===========================

After a bit of google digging I found this article by Paul Lamar

Short Article by Paul Lamar published on the News Letter March 4th 2006

This is from the 1954 SAE Transactions. Development of the R3350 Turbo
Compound Engine. The book in the Caltech library had a 1 mm coating of
dust.

See the chart illustrations on the web site.

The power recovery heat balance chart knocked me out of my chair.
I had NO IDEA.... NONE WHAT SO EVER, prior to now, so much energy
was wasted by the exhaust valves in a piston engine turbo compounds.
Need I mention yet again THE WANKEL ROTARY HAS NO BLEEDING
EXHAUST VALVES!!!. More evidence we will eventually get more than a 20%
efficiency improvement with a turbo compound rotary.

Lets look at the heat balance chart with out the exhaust valves.
Total heat available to the turbine now over doubles to
34.7% from 14.9%. The losses to gears and bearings also doubles
to say 3%. Windage and cooling loss goes to 3.2% from 1.6% and
aero and thermal losses got to 12% from 6%. Total loss percentage
is then 18.2%. 34.7% kinetic energy available for recovery
minus 18.2% losses is 16.5%! Up from only 6% with exhaust valves.

Total fuel energy burned in a 200 HP rotary is about 760 HP worth.
With exhaust valves you would have only about 6% or
45.6 HP available for the turbine.

Without exhaust valves you would have about 16.5% or 125 HP!!!!
Almost three times the HP available to drive the turbine!!! No wonder
you can boost a 13B rotary to 800 HP!! There is lots of kinetic HP to
be had in the rotary engine exhaust. Much, MUCH more than I had at
first thought. We always knew there was a lot of waste heat in
the rotary exhaust. Up to 50% of the total heat. What we did not
know up until now was what we could expect in terms of kinetic energy.

Chart "R3350TC-take-off-heat-balance". Out of a gross total of 3750 HP
the supercharger was consuming 385 HP. Subtracting 470 HP mechanical losses
from the gross total gave us 3630 net HP to the prop. Now look over on the lower
right side on the chart. The basic engine was 2750 HP sans turbines. Same as the
B29 engine.  All three turbines generated the takeoff HP increase or 880 HP. Divide
by three to get individual turbine HP's and you get 293 HP per turbine for this
R3350TC engine version.

Overall efficiency with a 10:1 air fuel ratio for take off was 17% without
turbo compounds and 22.3% with the turbines. Or an overall engine efficiency
gain of 5.3 percent at high power. Now the sensible power going to the turbines
is with the huge losses to the exhaust valves. About THREE TIMES AS MUCH will
be going to the turbines WITHOUT the exhaust valve losses. Chart three. "R3350TC Power
recovery heat balance." 

The power in the Mazda Wankel rotary engine exhaust has been talking to us for 30 years.
It has been saying. "Hook me to turbine, hook me to a turbine, hook  me to
a turbine." Anybody that has been around a Mazda rotary powered race car
without a muffler can understand the tremendous kinetic energy in the exhaust.
I have a race car driver friend by the name of John Morton who claims he
has permanent hearing damage from driving rotary powered race cars.

It was not until I read that SAE paper on the R3350 TC that I could put
a number on it. It then hit me like a supersonic shock wave. Yes of
course it has plenty of kinetic energy in the exhaust.

Now comes the time to harness all those super sonic horses.

Think of the Wankel rotary as an ideal gas generator for a turbine
engine.  A marriage made in heaven.

We are now building a traction drive device to extract the excess HP from
a stock turbo charger. Input speed RPM can be up to 120,000 RPM and output
RPM will be one tenth of that. The power from the traction drive output shaft
will be transfered to the e-shaft of the rotary by a multi v belt to absorb
the torsional vibrations from the rotary engine. We hope to recover at least
50 HP from the waste heat in the rotary exhaust improving the BSFC from
the current .47 to .376 at cruise altitude. The range of any airplane using
this engine will increase by 25%. We hope to test the engine soon on a dyno
and a SAE or AIAA technical paper will be published reporting the details
of the traction drive and the dyno test results.

Paul Lamar

============================

So Dr Moller is basically on the same track as Paul.

 

 

Liquid Piston

June 7, 2011 Posted by +Sharpshooter+

http://www.liquidpiston.com

I was doing a patent search on Jim’s “new” patent in which the vanes are moving in and out from the center of  the engine toward the outer edge.  But Liquid has a rotary design similar to the Wankel.  What these Russian inventors claim is the use of a different kind of compression theory.

“High Efficiency Hybrid Cycle’ (HEHC) attempts to combine the best features of numerous thermodynamic cycles including Otto, Diesel, Rankine, and Atkinson to create a highly efficient engine.”

This is very similar to my ‘idea’ in that with the proper design technique one can control the combustion process down to the molecular level.

Visitor Map

June 7, 2011 Posted by +Sharpshooter+

I was bored and was going through all the logs for the past year and realized there were a lot of visits and google analytics wasn’t picking them up.

I guess people don’t want google tracking their every move.

These were taken right from the Apache Log files and not through javascript tracking.

These represent all the ip addresses that could be geo located. There are others I am working on especially the hacker ip addresses.

I was doing trace routes on ip addresses with no host names and there were a lot of fortune 500 companies visiting this site.  So I was thinking, I could rethink my approach when John’s effort fails.

Also the globe visitor map on the front page was slick.  Was hoping I could import these ip addresses on to that map.

Visitors from Washington DC and Virginia.  Wow.

Visitors from Canada’s National Defense:) Double Wow…

When Jim sold out it was rumored that he moved to Costa Rica.

Good guys and hackers in the red dots.  There were about a hundred hacker ip addresses, but what was interesting was that there were many access attempts over a long period of time.  Also there were about half dozen virtually untraceable visitors.  These are the professional hackers to watch out for or ghosts as I like to say.

I was undecided whether or not to take out the google bots and bing bots.  As I would consider them visitors and besides bots need love too.

Seems that Europe and China are the hot spots for hacker activity.

Jim is a Sell Out

May 31, 2011 Posted by +Sharpshooter+


Solidworks Concept Model

I was dissapointed when Jim sold out.

This was what Jim and I were afraid of if he decided that John’s offer was good enough.  That he  would lose control of the development direction of the engine.

We had dinner one time and I could tell something was up.  He told me that he thought that he lost  control of the engine.

He didn’t tell me the details of the deal, but it was way less than he wanted.  Better to have one in the hand than two in the bush as they say.  Besides Armageddon was just around the corner.

Jim’s hand drawn 3D drawing that was on his Rand Cam Engine report.

===================================

Excerp from 20-F filing for Reg Technologies Inc.

We are dependant upon consultants and outside manufacturing facilities.

Since our present plans do not provide for a significant technical staff or the establishment of  manufacturing facilities, we will be primarily dependent on others to perform these functions and  to provide the requisite expertise and quality control. There is no assurance that such persons or  institutions will be available when needed at affordable prices. It will likely cost more to have  independent companies do research and manufacturing than for us to handle these resources.

Our business may suffer if we are unable to adequately protect our intellectual property.

Our business depends on the protection of our intellectual property and may suffer if we are  unable to adequately protect our intellectual property. The success of our business depends on our  ability to patent our engine. Currently, we have been granted several U.S. Patents. We cannot  provide assurance that our patents will not be invalidated, circumvented or challenged, that the  rights granted under the patents will give us competitive advantages or that our patent  applications will be granted.

==============================

I watched with excitement as Jim slowly drew up the machining drawings for the prototype that UME was going to machine.


Prototype build by UME.

I got even more excited when Devron Hercules was going to use the CNC machine tools to machine the  cams.  I always put in constructive suggestions based on research that I did.

Jim was in a real pickel after two weeks of farting around with the CNC operator.  They couldn’t get the proper program.  Jim showed me the sketch of what they were trying to accomplish and said that he could calculate the cam profile manually.  I asked what’s in it for me if I can solve this programming problem?  The rest they say is history.


This is a sketch of the solution minus the algorithms of course.  I mulled it over for a day or so and before I was to go to a meeting it hit me like a ton a bricks.  Lucky I had a piece of paper and pen handy as I scribbled the solution as fast as I could.  Then came the acid test, to program it into my radio shack calculator.  I used Jim’s example angle and hit +execute+ x y z and the numbers matched exactly.

I should have got something in writing as they say, but I have an ace up my sleeve:)

For upon deeper review of the ‘algorithm’ something was wrong and I had to find out what.  For this was the correct mathematical solution for this given problem but it was not the correct firing solution as I like to call it.

Even if you made the ‘transition area’ larger the profile still will not work.  For the constant velocity profile was only used on slow moving machinery in the early industrial revolution and was limited to 0 to 50 rpm.  Jim’s revised cam profile now John’s profile would be limited to maybe 1,000 rpm.  I did a revised cam profile with the maximum transition area possible here.

This appears to be the one John Boy is using.  This one has potential provided that certain limits are not exceeded.  Plus without the deep understanding of how the math works Rob will be twittling his thumbs until it is time for the investors to retire.

I even did one on Matlab that gave it a better visualization.

This one is pure sinusoidal, and is probably better than the modified sine that they are using now.

According to the details of the the filing each engineer or group such as University of West Virginia are getting a piece of the action for their efforts.  Even if their solution didn’t work they get 1 percent or up to 5 percent.  That should have been on the condition their attempts were successful.  John needs to sharpen up on his business skills.

According to the report they have reached the end of their rope in terms of selling more equity to raise development money.

Just imagine if John Boy invested all that equity from investors into an R & D facility instead of putting his kids though the best Universities.  According to one report John spent 27 million in total expenditures.  This report says 13 million but who is counting.  Lucky I used to be a bean counter and know what accummulated deficit means.

To give you an idea of how difficult the math problems is, just imagine a world class chess champion.  He is thinking at least 5 moves ahead of his opponent.  Big Blue was about 6 moves ahead and thats why the computer could win most of the time.  At the peak of my chess playing days I estimated I was 8 moves ahead.  Chess was like a video game to me and I resorted to playing against myself. (helps to have multiple split personality disorder:)

The math problem seems straight forward enough but upon further deep review there are multiple levels of abstraction that must occur.  I am sure their are mathematicians out there who can solve this type of problem.  But would they do it for 100 bucks an hour?  I doubt it.  Show me the percentage.

===========================

I read the biography on Tesla when he worked for Edison, and Edison promised Tesla lots of money if he could solve a big problem.  When Telsa approached Edison that he solved the problem and expected Edison to pay up, Edison replied ‘Tesla you don’t understand American humor.’ :)

Jim told me ‘I would have figured it out’…I don’t think so…

our investors could lose their entire investment.

May 27, 2011 Posted by +Sharpshooter+

I was digging deeper into the John Robertson empire…

RISK FACTORS

The occurrence of any of the following risks could hurt our business, financial condition or results of operations. In such case, the trading price of our shares could decline and you could lose all or part of your investment. You should carefully consider the following risks and the other information in this Report and our other filings with the SEC before you decide to invest in us or to maintain or increase your investment. The risks and uncertainties described below are not the only ones facing us. Additional risks and uncertainties not now known to us or that we think are immaterial may also adversely impact and impair our business. If any of the following risks actually occur, our business, results of operations, or financial condition would likely suffer. In such case, the trading price of our common stock could decline, and you may lose all or part of your investment.

RISK FACTORS RELATED TO OUR BUSINESS AND OPERATIONS

We are a development stage enterprise.

We are a development stage enterprise and are subject to all of the attendant business risks associated with a development stage enterprise, including constraints on financial and personnel resources, lack of established credit facilities, and uncertainties regarding product development and future revenues. We will continue to be subject to all the risks attendant to a development stage enterprise for the foreseeable future, including competition, complications and setbacks in the development program, and the need for additional capital.

We have reported losses in each year since its inception. At April 30, 2009, we had an accumulated deficit of ($13,787,088) in accordance with Canadian. GAAP. Our history consists almost entirely of development of its products funded entirely from the sale of our Common Stock in the absence of revenues. We anticipate that it will continue to incur substantial additional operating losses for at least the next 12 months and expects cumulative losses to increase as our development efforts expand.

Although we anticipate receiving future revenues from the sales of engines or the licensing of our technology or pursuant to a joint venture, we have received minimal revenues in preparation for licensing or joint venture activities, and there are no assurances that significant revenues will be derived from this activity in the future. We have received no revenues from sales of any of the products under development. There can be no assurance as to when or if we will be able to develop significant sources of revenue or whether our operations will become profitable, even if we are able to commercialize any product. See “Operating and Financial Review and Prospects,” and Notes to Financial Statements.

We have no assurance that we will be able to develop a commercially feasible product.

We have no assurance at this time that a commercially feasible design will ever be perfected, or if it is, that it will become profitable. Our profitability and survival will depend upon our ability to develop a technically and commercially feasible product which will be accepted by end users. The RadMax® Diesel Engine which we are developing must be technologically superior or at least equal to other engines that competitors offer and must have a competitive price/performance ratio to adequately penetrate its potential markets. If we are not able to achieve this condition or if we do not remain technologically competitive, we may be unprofitable and our investors could lose their entire investment. There can be no assurance that we or potential licensees will be able to achieve and maintain end user acceptance of our engine.

We expect to incur significant losses for the foreseeable future.

We expect to incur significant losses for the foreseeable future and cannot be certain when or if we will achieve profitability. Failure to become and remain profitable will adversely affect the value of our Common Shares and our ability to raise capital and continue operations.

We have no assurance that our products will receive market acceptance.

Our profitability and survival will depend upon our ability to develop a technically and commercially feasible product which will be accepted by end users. The RadMax® Diesel Engine which we are developing must be technologically superior or at least equal to other engines which our competitors offer and must have a competitive price/performance ratio to adequately penetrate our potential markets. A number of rotary engines have been designed over the past 80 years but only one, the Wankel, has been able to achieve mechanical practicality and any significant market acceptance. If we are not able to achieve this condition or if we do not remain technologically competitive, we may be unprofitable and our investors could lose their entire investment. There can be no assurance that we or our potential licensees will be able to achieve and maintain end user acceptance of our engine.

We have not conducted a formal market survey.

We have not conducted a formal market survey but statistics available on the aircraft, marine and industrial markets alone indicate an annual market potential of more than one hundred million dollars.

Our officers lack of experience to manufacture or market our products.

Assuming we are successful in developing the RadMax® Diesel Engine, we presently have no proven ability either to manufacture or market the engine. There is no assurance that we will be able to profitably manufacture and market engines.

Our auditors have indicated that our losses raise substantial doubt about our ability to continue a going concern.

The report of our independent auditors with respect to our financial statements included in this Form 20-F includes a “going concern” qualification, indicating that our losses and deficits in working capital and shareholders’ equity raise substantial doubt about our ability to continue as a going concern. See ” Operating and Financial Review and Prospects” and Notes to Financial Statements.

http://www.wikinvest.com/stock/Volkswagen_%28VLKAY%29/Filing/20-F/2009/F11183284

We are dependent upon certain members of our staff, the loss of which could adversely affect our business.

We are dependent on certain members of our management and engineering staff, the loss of services of one or more of whom could adversely affect our business.  The loss of any of these key individuals could hamper the successful development of the engine. Our present officers and directors have other full-time positions or part-time employment unrelated to our business. Some officers and directors will be available to participate in management decisions on a part-time or as-needed basis only. Our management may devote time to other companies or projects which may compete directly or indirectly with us. We do not have “key man” life insurance on such officers and currently have no plans to obtain such insurance. See “Management”. Our success also depends on our ability to attract and retain additional skilled employees.

Certain of the Company’s directors and officers are also directors and/or officers and/or shareholders of potential competitors of the Company, giving rise to potential conflicts of interest.

Several of the Company’s directors and officers are also directors, officers or shareholders of other companies. In particular, Mr. Robertson, and Mr. Vandeberg are directors and/or officers of both REGI U.S., Inc. and IAS Energy, Inc., each a public company. Additionally, Mr. Robertson and Ms. Lorette are directors/officers of Linux Gold Corp. and Teryl Resources Corp., each a public natural resource exploration company that shares office space and administrative staff with the Company. Mr. Robertson is a director and officer of SMR Investments Ltd., which holds approximately 15.4% of the Common Shares of the Company (see the biographical sketches of our directors and officers at Item 6.A, and Share Ownership at Item 6.E). Some of our directors and officers are engaged and will continue to be engaged in the search for additional business opportunities on behalf of other corporations, and situations may arise where these directors and officers will be in direct competition with the Company. Such associations may give rise to conflicts of interest from time to time (see Item 7.B.). Such a conflict poses the risk that the Company may enter into a transaction on terms which could place the Company in a worse position than if no conflict existed. Conflicts, if any, will be dealt with in accordance with the relevant provisions of the British Columbia Business Corporations Act. The Board has resolved that any transaction involving a related party to the Company is required to be reviewed and approved by the Company’s Audit Committee. The Company’s directors are required by law to act honestly and in good faith with a view to the best interests of the Company and to disclose any interest which they many have in any project or opportunity in respect of which the Company is proposing to enter into a transaction.

Our business may suffer if we are unable to adequately protect our intellectual property.

Our business depends on the protection of our intellectual property and may suffer if we are unable to adequately protect our intellectual property. The success of our business depends on our ability to patent our engine. Currently, we have been granted several U.S. Patents. We cannot provide assurance that our patents will not be invalidated, circumvented or challenged, that the rights granted under the patents will give us competitive advantages or that our patent applications will be granted.

===========================

I know of three challengers, one from Pakistan, one from England and of course one from Canada.  It was funny when I met one of the original investors to the RCE, he showed me a patent that Jim gave him.  When Jim was negotiating his sell out he was in the process of patenting his ‘new’ rotary.  Even though I considered Jim my ‘best friend’ I was just a competitor to him.  He thought that I was going to try patent that invention first and kept it pretty quite.  I didn’t find out till almost 15 years later when the patent life is coming to an end.

Also I can mathematically invalidate the RadMax right now.

Back in the 90′s John Robertson’s hype machine was in full swing…

Upon further review..

May 16, 2011 Posted by +Sharpshooter+

http://www.regtech.com/News_Releases/?newsID=149&yr=2011

I tracked down the patent and had a deep review.  The original patent by James Lawrence McCann lacked detail in the area of the cam and vane seal.  Robert Grisar’s patent is very detailed and I could see his approach to the geometry problem.  However, I know it won’t work.  I found a Wikipedia article on the Helix which led me to the Helicoid and have included a picture of a java generated helicoid.

The vane seals are spring loaded and are designed to hug the above surface.  And the “undulating waveform is substantially sinusoidal.”  I would get back to the drawing board Rob.

Ion-powered Rotary Motor

May 16, 2011 Posted by +Sharpshooter+

Somebody has already designed the ultimate Rotary Motor.  Of course  if your an evolutionist it wasn’t designed, it just evolved on its own.  The Bacterial Flagellum is a bacteria that is ion powered.

It can spin at speeds of 6,000 to 17,000 rpm, stop in a quarter turn, change direction and spin 17,000 rpm in the other direction.

It is one of the most studied bacteria because of its features.

I don’t think the designer’s patent will ever run out.

http://www.millerandlevine.com/km/evol/design2/article.html

http://www.evolutionnews.org/2011/03/michael_behe_hasnt_been_refute044801.html

SUPREME COURT OF BRITISH COLUMBIA

May 1, 2011 Posted by +Sharpshooter+

However, Rand Cam then agreed to sell 330,000 of its shares in Rand Energy to Reg Tech. Inc. for $11,050,000, bringing Reg Tech. Inc.’s interest in Rand Energy to 1,530.000 common shares (51% of Rand Energy’s shares), and leaving Rand Cam with 1,470,000 common shares (49% of Rand Energy’s shares).

=========================

http://www.courts.gov.bc.ca/jdb-txt/sc/96/08/s96-0871.txt

I forgot about this court case between John and Jim.

I heard through the grapevine that Jim is broke or close to broke now:)

USPTO has awarded Patent Number 7,896,630 for 23 unique RadMax™ technology

April 28, 2011 Posted by +Sharpshooter+

VANCOUVER, BRITISH COLUMBIA–(Marketwire – March 9, 2011) – REGI U.S., Inc. (OTCBB:RGUS)(FRANKFURT:RGJ) and Reg Technologies Inc. (TSX VENTURE:RRE)(OTCBB:REGRF) are pleased to announce the United States Patent and Trademark Office (USPTO) has awarded Patent Number 7,896,630 for 23 unique RadMax™ technology disclosure claims, based on a company filed amendment dated 24 September 2010. This announcement supersedes the 22 technology disclosure claims previously approved as discussed in REGI U.S., Inc. and Reg Technologies Inc.’s news release dated July 29, 2010.

The official legal description of the patent title, based on the USPTO letter dated 23 November 2010, is “Rotary Device With Reciprocating Vanes And Seals Therefor”.

These claims encompass all emerging RadMax™ technology insertion, including advanced mechanical, sealing, friction reduction, thermodynamics, and lubrication aspects. Each claim represents a major departure from all prior Reg and REGI technologies, and sets RadMax™ distinctly apart from all competing engines.

Robert Grisar, Vice President of Engineering for REGI U.S., Inc., states, “Following more than three years of in-depth review by the USPTO, we are extremely pleased with the patent award of these 23 claims. Most patent submittal requests are for a single claim. This award is unprecedented. Timing could not be better. We have commenced fabrication of the prototype RadMax™ design, at Path Technologies Inc., in Painesville, Ohio, based on these patent disclosures.”

Rotary device with reciprocating vanes and seals therefor

Abstract

A rotary device comprises a stator and a rotor. The stator has a cam surface. The rotor has a sleeve and a hub. There is a plurality of vanes reciprocatingly mounted on the rotor. There is a plurality of first longitudinal edge seals disposed on the sleeve. The first longitudinal edge seals each seal at least a portion of a first longitudinal edge of one of the vanes against the sleeve. There is a plurality of second longitudinal edge seals disposed on the hub. The second longitudinal edge seals each seal at least a portion of a second longitudinal edge of one of the vanes against the hub. There is a plurality of end edge seals. The end edge seals each seal a respective end edge of one of the vanes against the cam surface. The end edge seals each are in sealing engagement with respective ones of the first and second longitudinal edge seals.

I like claim 21;

21. The rotary device as claimed in claim 1, wherein the cam surface is an undulating cam surface having a maximum slope of 30 degrees.

Investors please invest in Robert’s undulating device:)

Also in the detailed DESCRIPTION OF THE PREFERRED EMBODIMENTS of the patent it says;

“The cam 140 has an undulating cam surface 150 which has a substantially sinusoidal profile in this example.”

See my article on the Mathematical Analysis of the RCE.  The RadMax suffers from the same short comings.

World English Dictionary
undulate (ˈʌndjʊˌleɪt) [Click for IPA pronunciation guide]
vb
1. to move or cause to move in waves or as if in waves
2. to have or provide with a wavy form or appearance
adj
3. having a wavy or rippled appearance, margin, or form: an undulate leaf
[C17: from Latin undulātus, from unda a wave]