DO the math, DON'T overpay. We make high quality, low-cost math resources a reality.

Thursday, February 26, 2015

Throwback Fact: Sangaku

Image: ca.wikipedia.org
Throughout much of the 1600s through the 1800s, Japan was largely isolated from the West. During this time, the Japanese samurai thrived, along with feudalism and the Buddhist religion. A tradition known as Sangaku (roughly translated: Japanese temple geometry) was born in this era. Japanese people from all social and educational classes would work to solve difficult geometry problems and inscribe the solutions on tablets, then hung the tablets on the roofs of Shinto and Buddhist temples as votive. Many of these problems are heavily focused on circles, an uncommon method in the West in the same time period.

These puzzles are reminiscent of two particular games of east-Asian origin that are wildly popular today: Tangrams (China, ~1000 C.E.) and Sudoku (Japan, modern version ~1986 C.E.). Tangrams are obviously similar because of the physical puzzle-like nature. Players are working with physical shapes to make sense of numbers or patterns. The name of the puzzle game Sudoku is reminiscent of Sangaku. Sudoku works strictly with numbers instead of shapes, but the two puzzle games remain similar because they can be customized so many different ways. Sangaku can range in difficulty to be completed by a child or an educated samurai (but one thing that they all had in common was a lack of calculus). Sudoku puzzles become more simple depending on how many squares are filled in at the start.
Image: commons.wikimedia.org
This above image is an example of a Sangaku. While we could not find a problem to go along with this image, the puzzle would go something like this: given the diameter of the shaded blue circle equals d, what is the area of the shaded orange triangle?

What made Tangrams last through a millennium, while Sangaku are now all but unknown? Are there any other math or puzzle games that are similar to Sangaku? Please leave a comment!

If you’d like to explore the surviving Sangaku, unfortunately a difficult task for anyone who cannot read kanji, find more here or here.

4 comments:

  1. This comment has been removed by a blog administrator.

    ReplyDelete
  2. This comment has been removed by a blog administrator.

    ReplyDelete
  3. Perjudian online adalah tempat bertaruh yang paling menyenangkan buat beberapa penjudi di Indonesia. Kini Perjudian poker online telah menghadirkan deposit pulsa Telkomsel dengan minimal deposit 15rb

    Menyediakan Transaksi Deposit & Withdraw Yang Lengkap, Seperti :
    - Transfer Bank ( Semua Jenis Rekening Bank di Indonesia )
    - Ovo
    - Gopay
    - Dana
    - Linkaja
    - Pulsa

    9 Games Dalam 1 Akun
    * ADU Q
    * BANDAR POKER
    * BANDAR Q
    * CAPSA SUSUN
    * DOMINO 99
    * POKER ONLINE
    * SAKONG
    * BANDAR 66
    * PERANG BACCARAT (NEW)

    Texas Poker
    Judi Poker
    Sakong Online

    Mitos Game Perang Baccarat
    Situs Judi Poker Deposit Pulsa Telkomsel Hanya 15.000

    WA: 08122222996
    Wechat: pokervitaofficial
    Line: vitapoker

    ReplyDelete
  4. Bingung Cari Agen Poker Terpercaya??
    Percayakan Kepada DonacoPoker...
    Agen Profesional Yang Sudah Lama Berkembang...
    Proses Transaksi Yang Cepat dan Aman Dengan Pelayanan Yang Ramah dan Memuaskan..

    Ayo!! Jangan Ngaku Ahlinya Poker Jika Belum Bermain di Donaco Poker.!!

    Segera Bergabung dan Dapatkan Tips-Tips Menang Dari Kami..
    * POKER
    * DOMINO
    * BANDAR CEME
    * CAPSA SUSUN
    * CEME KELILING
    * SUPER TEN
    * OMAHA

    Info hub:
    WHATSAPP : +6281333555662Bingung Cari Agen Poker Terpercaya??
    Percayakan Kepada DonacoPoker...
    Agen Profesional Yang Sudah Lama Berkembang...
    Proses Transaksi Yang Cepat dan Aman Dengan Pelayanan Yang Ramah dan Memuaskan..

    Ayo!! Jangan Ngaku Ahlinya Poker Jika Belum Bermain di Donaco Poker.!!

    Segera Bergabung dan Dapatkan Tips-Tips Menang Dari Kami..
    * POKER
    * DOMINO
    * BANDAR CEME
    * CAPSA SUSUN
    * CEME KELILING
    * SUPER TEN
    * OMAHA

    Info hub:
    WHATSAPP : +6281333555662

    ReplyDelete