The Delian Problem

To the complete the trifecta, below is my method on how to estimate the construction of doubling the volume of a given cube.

The Delian Problem [from wikipedia]: The problem owes its name to a story concerning the citizens of Delos, who consulted the oracle at Delphi in order to learn how to defeat a plague sent by Apollo. According to Plutarch it was the citizens of Delos who consulted the oracle at Delphi, seeking a solution for their internal political problems at the time, which had intensified relationships among the citizens. The oracle responded that they must double the size of the altar to Apollo, which was a regular cube. The answer seemed strange to the Delians and they consulted Plato, who was able to interpret the oracle as the mathematical problem of doubling the volume of a given cube, thus explaining the oracle as the advice of Apollo for the citizens of Delos to occupy themselves with the study of geometry and mathematics in order to calm down their passions.

Trisecting an Angle

This is my recent attempt at approximating the trisection of an angle. See links below for sketchpad file and excel spreadsheet. The real point to be made here is that this is proven to be impossible. So, why bother trying? 

Sketchpad  - Excel Spreadsheet

Squaring the Circle

I seriously doubt that this estimation method of Squaring the Circle is unique, but it's new to me. For further reading of this topic and many more, I strongly encourage you to purchase the text 

"Squaring the Circle - Geometry in Art and Architecture" by Paul Calter.

download the sketchpad file 

version 5.0 | version 4.07

Unwanted Weed or Saught After Fractal

The mimosa is a very common to Virginia. I've seen this plant my whole life, but today it's as though I've seen it for the first time.

I vote "fractal"!

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Would Fibonacci eat this?

Count the spirals of this cauliflower and decide for yourself!

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Snail Shell

My son Sam found this amazing example of one of nature's spirals. Because of it's circular design, it is best described as an Archimedian spiral.

Thanks Sam!

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Richmond Architecture

Here is a list of 13 samples of Richmond Architecture that demonstrate excellent geometric design. Get in your car and GO!

For more info on my recent VCTM presentation "Architecture is Frozen Music" go here.

Richmond Architecture

The Fan District

Science Museum (Union Station)

2500 West Broad Street, Richmond, VA 23220

All Saints Reform Presbytarian Church

3000 Grove Ave., Richmond VA 23221

Congregation Beth Ahabah

1111 West Franklin Street, Richmond, VA 23220

Cathedral of the Sacred Heart

800 South Cathedral Place, Richmond, VA 23220

Grace and Holy Trinity Church

8 North Laurel Street, Richmond, VA 23220

Richmond Landmark Theater

6 North Laurel Street, Richmond, VA 23220

St. John’s United Church of Christ

503 North Lombardy Street, Richmond, VA 23220

First English Lutheran Church

1603 Monument Ave, Richmond, VA 23220

Downtown

Old City Hall

1001 East Broad Street, Richmond, VA 23219

Virginia State Capitol

920 Bank Street, Richmond VA, 23219

Egyptian Building

1301 East Marshall St, Richmond, VA 23219

Other

St. Joseph’s Villa for Children

8000 Brook Road, Richmond VA, 23227

The University of Richmond

28 Westhampton Way, University of Richmond, VA 23173

Old City Hall