Thank you, Grady. That’s quite a compliment. I’m glad that my site, software and book are such an inspiration.

The numbers speak for themselves. The credit card is indeed a reasonably good approximiation for a golden rectangle. Still, if that were the intent of whoever designed its dimensions they had every opportunity to hit the target closer than they did.

It’s unfortunate that Rob concluded with “The golden ratio has many genuine and beautiful connections with the real world, but alas Greek architecture and credit cards aren’t among them.” Again the evidence and number speak for themselves. No disrespect intended, but he admits to “being a bit of a skeptic.” I often find that skeptics dismiss findings before even taking the time to do the research.

Skeptics often seems to nod along with the dimissive claims of other skeptics, such as with an article that dismissed many truths about the golden ratio in a article in the The College Mathematics Journal back in 1992. That poorly researched article has been used an “evidence” by skeptics for many years. See my review at https://www.goldennumber.net/golden-ratio-misconceptions-by-george-markowsky-reviewed/. This article addresses the “favorite rectangle” claim, and I show how this must be based on context.

Always best to do the research and fact-checking before repeating something that you don’t fully understand! That’s even so much more true it today’s fake news biased media world.

I agree. The creditcard is a reasonably good approximation of a golden rectangle , and it should be all the more to him, since he wrote a book about the importance of estimation in every day (math) life. Maths on the Back of an Envelope by Rob Eastaway is a book that teaches practical estimation skills for everyday life. Why he does not check the creditcard remains a big mystery to me. My guess is he does not like Disney in general to (re)tell a tale like A. in Wonderland. A fairy tale he might think of as one of the heights of British popculture, like Shakespeare. But there might also be some contempt left as a result of the tea party, long ago, who knows. history has a sense of irony I guess, with Donald as president.
It is worth reading his unfairly blog on Donald, who actually never encounters or even mentions the credit card in his mathemagic land. It’s quite humourous: https://robeastaway.com/blog/golden-rectangle
He somehow blaims Donald (D), or rather the Walt Disney Studio, for the ignorant public to find and see the golden ratio in unexpected places, like a credit card. It is legit to me, if the golden horseshoe basically fits, so to speak. 268/169 Is good enough for me anyway..

Thank you for your thoughtful comment and kind intent.

Since this site focuses on evidence and accuracy, it’s important to read passages in full context. The verse you referenced from John 4 shows the Samaritan woman initially recognizing Jesus as a prophet, but that’s not where the account ends.

As the conversation continues, she speaks of the coming Messiah, and Jesus responds:

“I, the one speaking to you—I am he.” (John 4:26)

So the passage shows a progression—from seeing Jesus as a prophet to recognizing Him as the Messiah.

In the Bible, a prophet speaks on behalf of God, but the Messiah is uniquely God’s anointed one—sent to fulfill God’s promises, establish His kingdom, and reveal Him in a way no prophet does.

Jesus makes this even clearer with His disciples. When He asks who they believe He is, Peter answers:

“You are the Messiah, the Son of the living God.” (Matthew 16:16)

Jesus does not correct him. Instead, He affirms it:

“Blessed are you… for this was not revealed to you by flesh and blood, but by my Father in heaven.” (Matt 16:17)

So the key question is:

If Jesus were only a prophet, why does He affirm a God-revealed understanding of Himself as both Messiah and Son of God?

If you’re open to exploring this further, I’d encourage reading the full accounts in John 4 and Matthew 16, along with the rest of the four Gospels (Matthew, Mark, Luke and John). They consistently point to Jesus as the Messiah—God’s anointed one—who reveals the truth about God and invites us to know Him.

It’s not an urban myth. The standard length to width dimensions of credit card very closely approximate the golden ratio. See https://www.goldennumber.net/credit-cards/. And Donald nailed it with his explanations of the golden ratio found in the Parthenon. See https://www.goldennumber.net/donald-duck-parthenon-mathmagic-land/.

I wish you could follow the way this woman was in the verse you quoted in her faith in Jesus: believing that he was a divine prophet and messenger from God.

I urge you to the one thing that saves a person on the day of judgment, the shared belief that was confessed by all prophets and messengers before and after Jesus, and including Jesus himself: monotheism, knowing and worshipping the one God, and believing in Jesus Christ whom He has sent, and Muhammad, may peace be upon all of them.

Don’t let your knowledge of God’s signs be an argument against you on judgement day.

– A Muslim wanting good for you

Thanks, Sean. As you work in design and want to apply the conccepts, see my golden ratio app PhiMatrix at http://www.phimatrix.com. It makes application of the golden ratio quick and simple. Free trial available for Windows or Mac.