© Derek Cumberbatch

**The earliest update is at the top of the page, the latest update is at the bottom.**

2020

1-1-2020: Added a hyperlink to the Links Subset of the Extra Section that will take you to my Quora account, where I answered (or asked) some questions! Why not found out what I know? You could learn something...

1-3-2020: Discovered another math trick for the Math Section: "Square Root Squabble 2"!

1-9-2020: Added another bonus fact in the Math Section about trigonometry! It's about the classic Tangent & Cotangent Formulae!

1-15-2020: Added 2 new mini-animations to the Mini-Animations Page: "Michelle Lipstick & the Rubber Ducky Yet Again!" & its close-up version! They're both perfect time loops!

1-16-2020: Added a special Flash file: "Blinking or Non-Blinking Sentences" to the Special Flash File Subset of the Extra Section!

1-22-2020: Coloring Book Image #71 has been added to the Coloring Book Images Page!

1-23-2020: Thanks for 220,350 hits!

1-28-2020: Still Image/Pocket Joke Page #21 is finally full with 25 cartoons, so I'll be taking a well deserved break from that section for a few months. I reused an image I made for 1 of my typed commentaries because honestly, I could hardly think of a new pocket joke during this update!

1-30-2020: Added 2 new mini-animations to the Mini-Animations Page: "Danielle Lipstick & the Teddy Bear: The Shodd Version!" & "Michelle Lipstick & the Rubber Ducky: The Shodd Version!" They're both perfect time loops! The Mini-Animations Page now has 100 animations! I think I'll take break from this section for a while to create some new puzzles for this year - **2020!**

2-7-2020: Uploaded a new greeting card for Valentine's Day onto the Greeting Cards Page: "Romantic Vs. Unromantic"! Remember that you can find it in the Extra Section!

2-10-2020: Added a new puzzle game to the Puzzles & Games Page: "Watergirl's Pipe Maze"!

2-11-2020: Discovered another math trick for the Math Section: "Tricky Transposition!" I also added another bonus fact about the angles of imaginary & complex numbers! If you square a complex number, then something interesting happens to the angle...

2-13-2020: Added a new puzzle game to the Puzzles & Games Page: "Miss IBM's Alternative Addition!"

2-17-2020: I added more information about the inverse of the *-illion* function in the Math Section; it explains more about the remainer in the quotient when you divide by **3, **if there is a remainer. Coloring Book Image #72 has also been added to the Coloring Book Images Page!

2-28-2020: Uploaded a new greeting card into the Various Category of the Greeting Cards Page: "Dr. Foolish Proves That Even A Genius Doesn't Know Everything!"; this specific greeting card is for student graduations.

3-3-2020: Uploaded a new Web page into the Math Section: "What Type of Number Will You Get?"! You can find it in the section's 3rd quarter, which has pages about specific numbers.

3-4-2020: Added another bonus fact about logarithms! It's related to reciprocals.

3-13-2020: Thanks for 220,500 hits!

3-14-2020: Uploaded Still Image/Pocket Joke Page #22 to the Still Image/Pocket Joke Section. I also uploaded a new puzzle game to the Puzzles & Games Page: "Freaky Flashlights!"

4-1-2020: Uploaded a new mini-animation to the Mini-Animations Page: "Thanks For 220,500 Hits!" I know this cartoon is a few hits & 19 days late, but I needed a final idea.

4-5-2020: Coloring Book Images #73 & #74 have been uploaded to the Coloring Book Images Page!

4-11-2020: Discovered another math trick for the Math Section: "Super Summation 7"!

4-13-2020: Discovered another math trick for the Math Section: "Tricky Transposition 2!"

4-22-2020: Coloring Book Image #75 has been added to the Coloring Book Images Page!

4-29-2020: I added a note to the bonus fact about the *-illion* function in the Math Section, because I just recently tried plugging in a negative number into the variable ** x **and then the function lost its accuracy! Remember to use appropriate numbers in functions, mathematicians, or the functions will NOT be accurate; besides, there's no such thing as having

5-4-2020: Added another bonus fact about logarithms in the Math Section! It has something to do with the *powers of *10...

5-31-2020: Coloring Book Images #76 & #77 have been uploaded to the Coloring Book Images Page!

6-3-2020: Added another bonus fact about parentheses in the Math Section!

6-5-2020: Added another deleted event to the Deleted History Page that can be found in the Story Information Subset of the Extra Section: "Kloot As A Microscopic Germ/Jack "Asso" Donkey's Microscopic Adventure"! Also, there's a new hyperlink there that'll take you to the Web page about Fast-Growth Potion & Shrinking Salt!

6-6-2020: Discovered another math trick for the Math Section: "Multiplication Madness!"

6-17-2020: Discovered another math trick for the Math Section: "Powerful Patterns 3: Summation with the Negative Powers of 10"!

6-28-2020: Discovered another math trick for the Math Section: "The Powers of Terrific Two!"

7-1-2020: Coloring Book Image #78 has been uploaded to the Coloring Book Images Page!

7-8-2020: Added another bonus fact about right isosceles triangles in the Math Section! You'll see the formulae for the perimeter & area of such a triangle!

7-9-2020: I decided to create my 13th Anniversary cartoon early this year to fill up the Still Image/Pocket Joke Section with 550 cartoons! Now that Still Image/Pocket Joke Page #22 is full with 25 cartoons, I'll be taking another well-deserved break from that section to focus on making some more puzzle games, greeting cards & hopefully a 102nd mini-animation!

7-12-2020: Coloring Book Image #79 has been uploaded to the Coloring Book Images Page! I also decided to use exclamation points on the subset links in the Extra Section, so you'll know which ones have a new or updated feature! Finally, I added another bonus fact in the Math Section about the numeric derivative of the function ** y = x^{2}.** (A special image of T.V. Man included!)

7-14-2020: Discovered another math trick for the Math Section: "Super Summation 8"!

7-15-2020: Added a special Flash file to the Special Flash File Subset of the Extra Section: "Good or Evil Oval"! In it, there's an ambigram to see; you can switch between the words "Good" or "Evil" by rotating it 180 degrees! It stars Sabrina Pixie as "Good" & Pueblo the Destructive Alien as "Evil".

7-21-2020: Added a new puzzle game to the Puzzles & Games Page: "Appendage Antics 3!"

7-23-2020: Coloring Book Image #80 has been uploaded to the Coloring Book Images Page!

7-28-2020: You can now see the* -illion* function & its inverse in Mathprint in the Math Section! Just click on the hyperlink in the bonus fact! Also posted another bonus fact about integrals in the Math Section!

8-2-2020: I added 2 more columns to the 1st truth table about moral confusion on the Web Page entitled: "Moral Confusion & the Morality Paradox" to show that contradictions are always false. See the actual Web Page & click on that angel-devil image to see the truth table for more information. And in the Links Subset of the Extra Section, I posted a note saying that I won't be adding any more posts to my Quora account due to the moderators & owners of that Website starting to target me. You can see an essay on my Wordpress account for more information...

8-3-2020: Uploaded a special cartoon for the Special Joke Subset of the Extra Section: "Difference Vs. Similarity starring the Squashington Sextuplets!" I also had to type a note on 1 of my puzzle games that was made in the year **2008**, which is called "Derek & the Dangerous Dice". I recently learned an interesting fact about dice, ** real** dice:

8-5-2020: I uploaded my 102nd mini-animation to the Mini-Animations Page: "Friendly Fire Immunity Spaces"! I think I'll take a long, well-deserved break from animating, so there won't be any more new mini-animations for the rest of the year. Animating is much more difficult than just drawing! Trust me... Also, thanks for 221,000 Hits!

8-6-2020: Discovered another math trick for the Math Section: "Impossible Equations"!

8-10-2020: The link to the Helia Website has been deleted since that Website no longer exists. I don't know what happened to the owner, but he stopped updating his Website a few years ago. Now his site has been deleted from the Internet.

8-13-2020: How embarrassing! In 1 of my older puzzle games from the year **2010**, there was a miscalculation in the answer! And all this time, I didn't know! The name of this puzzle game is: "Mass Multiplication or Wacky Weight-Changing Women". In my Microsoft Excel spreadsheet file in respect to this puzzle's solution, the program didn't multiply by the correct number when it was supposed to multiply by **4 or 4 cubed, which is 64;** so I had to fix the solution of this puzzle to make it correct. And about those non-integers in decimal form, forget it; I decided to just stick with fractions/mixed numbers after fixing the solution since they're rational! However, even in decimal form, it's still the same correct answer, so don't worry about it.

I also posted a bonus fact about dividing fractions in the Math Section! It has something to do with reciprocals...

8-19-2020: Discovered another trick for the Math Section: "The Square Roots of the Powers of 2"!

8-21-2020: Uploaded a new greeting card for Halloween onto the Greeting Cards Page: "Derek the Couch Potato"!

8-22-2020: Uploaded a new greeting card for a kid's 12th birthday: "The Squashington Sextuplets & the Number 12" onto the Greeting Cards Page! Remember that you can find the Greeting Cards Page in the Extra Section!

8-31-2020: Still Image/Pocket Joke Page #23 has been uploaded, but it's currently under construction.

9-3-2020: Still Image/Pocket Joke Page #23 is ready for viewing! I also decided that maybe I'll just be much more careful about what I post at that Q&A Website **Quora.com** so I updated that message in the Links Subset of the Extra Section. If I get blocked from there again for whatever reason, then I'll just stick with Wordpress from that point onward!

9-5-2020: I updated the Web page about the irrational number **Phi(Φ)** in the Math Section! There's a little bit more information about what happens when you multiply each number in the algebraic fraction! Please see that Web page for more details.

9-18-2020: I uploaded 2 more images about division & fractions in the Math Section! 1 of them stars Derek Cyannus Jr.! You can find them in the latest bonus fact I posted so far.

9-19-2020: Coloring Book Image #81 has been uploaded to the Coloring Book Images Page!

9-29-2020: Coloring Book Images #82 & #83 have been uploaded to the Coloring Book Images Page! Just in time for the Website's 13th Anniversary!

10-4-2020: I fixed a program bug in the actionscript for "Danielle's Pedal Game"! Remember that you can find it on the Puzzles & Games Page!

10-20-2020: I added another bonus fact about imaginary/complex numbers in the Math Section! It's about what happens to their absolute values & angles as you multiply or divide them!

10-22-2020: Discovered another math trick for the Math Section: "Trigonometry Tricks 7: Swapping A & B in a Complex Number"!

10-26-2020: Uploaded a new game to the Puzzles & Games Page: "Penny Pincher's Pedal Petting!" It has no specific challenge, but you can control Penny with the action buttons as she caresses her pet Bankster the Rainbow Caterpillar with her prehensile foot! Also uploaded Coloring Book Image #84!

10-31-2020: Discovered another math trick for the Math Section: "Complex Number Kookiness 3: Dotted Distance"! The Math Section now has 80 math tricks!

11-7-2020: Coloring Book Image #85 has been uploaded to the Coloring Book Images Page!

11-15-2020: Added another bonus fact to the Math Section about division & the powers of denominators of fractions! Watch the parentheses carefully in the formula!

11-18-2020: Discovered another math trick for the Math Section: "Cunning Cosine!" Also, thanks for 221,250 hits!

11-23-2020: Added a new puzzle game to the Puzzles & Games Page: "Dr. Foolish's Data Pies"!

12-12-2020: Coloring Book Image #86 has been uploaded to the Coloring Book Images Page!

12-15-2020: I added another famous morally confused character (another female!) on my list of morally confused characters, which you can find on the Web page entitled: "Moral Confusion & the Morality Paradox"; it's in the Math Section!

12-18-2020: I added another famous morally confused character on my list of morally confused characters, which you can find on the Web page entitled: "Moral Confusion & the Morality Paradox"; it's in the Math Section! You should recognize the name of a well-known ogre!