Wallpaper Patterns

The first pattern (the one on the bottom and top of the tablecloth), has reflective and rotational symmetry, and is called “Diamond Pattern”.

The second pattern (the middle of the carpet), has reflective and rotational symmetry.

Golden Ratio – Aesthetics

Aesthetic Exploration

The golden ratio is a ratio of 1 to 1.618, and seems to be demonstrated a lot in nature (flower pedals, seed heads, pine cones, shells, hurricanes, etc.) This ratio is mathematically represented by the Fibonacci series (1, 1, 2, 3, 5, 8, 13) – each number being the sum of the two previous numbers. It also has been shown to be found in art and architecture. It seems that this ratio pleases the human eye, but the reason as to why it is so aesthetically pleasing to look at remains unknown.

Inheritance Tax

I know that probably all of us are tired of hearing about taxes, but I decided to post about inheritance tax as it might be useful to know in case you inherit anything. Only a few states enforce to tax inheritance, so if you do end up inheriting anything from someone who lived in those states, your inheritance might be subjected to taxes.

  • Maryland
  • Nebraska
  • Kentucky
  • New Jersey
  • Pennsylvania
  • Iowa

How inheritance tax works

Once the executor of the estate has divided up the assets and distributed them to the beneficiaries, the inheritance tax comes into play. The tax amount is calculated separately for each individual beneficiary, and the beneficiary must pay the tax. For example, a state may charge a 5 percent tax on all inheritances larger than $2 million. Therefore, if your friend leaves you $5 million in his will, you only pay tax on $3 million, which is $150,000.

Comparing US taxes to other countries

Total Tax Revenue 

US taxes are relatively low compared to those in other developed countries. In 2015, taxes at all levels of US government represented 26 percent of gross domestic product (GDP), compared with an average of 33 percent for the 35 member countries of the Organisation for Economic Co-operation and Development (OECD).

Among OECD countries, only Korea, Turkey, Ireland, Chile, and Mexico collected less than the United States as a percentage of GDP. Taxes exceeded 40 percent of GDP in seven European countries, including Denmark and France, where taxes were greater than 45 percent of GDP. But those countries generally provide more extensive government services than the United States does.

Why are US taxes relatively low?

The answer is pretty simple, and already got answered in the paragraph above. Other countries offer more extensive government services than the US, which inlcude but are not limited to: Free Healthcare, Tuition Free College, no need of purchasing unemployment or disability insurance (as they are already covered by taxes), etc. All of those services are packaged and delivered by the government in most european countries, and here in the US you have to pay for those services whenever you need them.

Which option would you choose? Would you rather pay higher taxes and take advantage of free government services, or would you rather pay relatively low taxes and pay for those services whenever you need them?

Initial Post

This is my initial post for the homework assignment. I am looking forward to this class, just because it is different from the standard math courses.